I called at 11:45 pm been on the phone for 1 hour 24 minutes what time did that person hang up

Answers

Answer 1
If you called at 11:45 pm and were on the phone for 1 hour 24 minutes, then the call ended at:

11:45 pm + 1 hour 24 minutes = 1:09 am
Answer 2

Answer:

If you called at 11:45 pm and were on the phone for 1 hour 24 minutes, the call would have ended at 1:09 am.


Related Questions

4,12,44,176,890
which is odd one ?​

Answers

Answer:

If we are looking at 100th it is 176 if it's tens look at 7 and 9

Select all of the figures that show axis symmetry.

Answers

Answer: All of them

Step-by-step explanation:

All of them can be divided into two equal halves.

The figures that show axis symmetry are 1, 2, and 3.

What is the axis of symmetry?

The axis of symmetry is a line, plane, or other axis that divides a geometric figure into two mirror-image halves that are congruent to each other.

A figure has axis symmetry if it looks the same after being rotated around an axis.

Out of the given figures, the ones that have axis symmetry are:

Sphere (has infinite axis symmetry)Cone (has rotational symmetry around its central axis)Cylinder (has rotational symmetry around its central axis)

The figures that do not have axis symmetry are:

Cube (has only point symmetry)Rectangular cone (has no rotational symmetry)

So, the figures that show axis symmetry are 1, 2, and 3.

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graphing transformations

Answers

Each of the graphs should be matched with the appropriate function as follows;

Graph 1: D. f(x) = (x - 2)² + 3

Graph 2: C. f(x) = -(x - 2)² - 3

Graph 3: B. f(x) = -(x - 3)² - 2

Graph 4: C. f(x) = (x - 3)² + 2

What is the general form of a quadratic function?

In Mathematics and Geometry, the standard or general form of a quadratic function can be modeled and represented by using the following quadratic equation;

y = ax² + bx + c

Where:

a and b represents the coefficients of the first and second term in the quadratic function.c represents the constant term.

Mathematically, the vertex form of a quadratic function is modeled by this equation:

f(x) = a(x - h)² + k

Where:

h and k represents vertex of the graph.a represents leading coefficient.

In conclusion, we can logically deduce that each of the given quadratic function were either vertically translated or horizontally translated.

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There are 35 boys in the sixth grade. The number of girls in the sixth grade is 42. Lonnie says that means the ratio of the number of boys in the sixth grade to the number of girls in the sixth grade is 5: 7. Is Lonnie correct? Show why or why not.

Answers

Answer:

Step-by-step explanation:No, Lonnie is not correct. Step-by-step explanation: Because if we put 35 and 42 in rational form we can write it to its simple form by dividing it and after dividing we get the answer as 5 : 6. so that means Lonnie in incorrect.D

Help me please and thank you very much! :)

Answers

Answer:

2700

Step-by-step explanation:

20 inches x 15 inches x 9 inches! <3

also get some sleep lol

A. Roel organized his students' scores on the following line plot.
Students' Scores
00000
60
65
70
75
80
85
90
95
100
Based on this information, which of the following BEST describes the median student
score?
A 35
B. 80
C. 85
D. 90

Answers

Answer: - None of the above.

Step-by-step explanation:

The median is the middle value of the data set when arranged in order. In this case, we have an even number of values, so we need to take the average of the middle two values to find the median. The middle two values are 80 and 85. Therefore, the median student score is:  (80 + 85) / 2 = 82.5

The closest answer choice to this value is C. 85, but it is not the correct answer. Therefore, the correct answer is none of the above.

The volume in a set of wine bottles is known to follow a normal distribution with mean μ ounces and standard deviation of σ = 0.5 ounces. You take a sample of the bottles and measure their volumes. How many bottles do you need to sample to construct a 90% confidence interval for μ with a margin of error at most 0.1 ounces?

Answers

We need to sample at least 18 wine bottles to construct a 90% confidence interval for the mean volume of the population, with a margin of error of at most 0.1 ounces.

To determine the sample size required for a given confidence interval and margin of error, we need to use the following formula:

[tex]n = (Z^2 * \sigma^2) / E^2[/tex]

Where:

n = sample size

Z = the z-score associated with the desired confidence interval (for 90% confidence, Z = 1.645)

σ = the standard deviation of the population (0.5 ounces in this case)

E = the desired margin of error (0.1 ounces in this case)

Plugging in the values, we get:

[tex]n = (1.645^2 * 0.5^2) / 0.1^2[/tex]

n = 17.1

Thus, we need to sample at least 18 wine bottles to create a 90% confidence interval for the population's mean volume, with a margin of error of no more than 0.1 ounces.

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We need to sample at least 69 bottles to construct a 90% confidence interval for the mean volume of the wine bottles with a margin of error at most 0.1 ounces.

We have,

To construct a confidence interval for the mean volume of the wine bottles, we need to use the formula:

Confidence interval = sample mean ± margin of error

Where,

Margin of error = z (σ/√(n))

Here, we want to construct a 90% confidence interval with a margin of error at most 0.1 ounces.

This means that the margin of error should be less than or equal to 0.1, and the confidence level is 90%, so the critical value of z is 1.645

(using a standard normal table or calculator).

We are given that the standard deviation is σ = 0.5 ounces.

We don't know the sample mean or the sample size (number of bottles), so we'll use the worst-case scenario to find the sample size that gives the largest margin of error.

The worst-case scenario is when the sample mean is equal to the population mean (μ) plus the margin of error (0.1 ounces), and the sample size is as small as possible (which gives the largest margin of error).

So, we have:

0.1 = 1.645 x (0.5/sqrt(n))

Solving for n, we get:

n = (1.645 x 0.5/0.1)²

n = 68.225

Rounding up to the nearest whole number, we get:

n = 69

Therefore,

We need to sample at least 69 bottles to construct a 90% confidence interval for the mean volume of the wine bottles with a margin of error at most 0.1 ounces.

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If the rate of inflation is 2.6% per year, the future price p (1) (in dollars) of a certain item can be modeled by the following exponential function, where t is the
number of years from today.
p(t)=1200 (1.026)
Find the current price of the item and the price 8 years from today.
Round your answers to the nearest dollar as necessary.


Current price ?$

Price 8 years from today?$

Answers

a) Based on the exponential function, p(t)=1200 (1.026)^t, the item's current price with a rate of inflation of 2.6% per year is $1,200.

b) In 8 years, the future price of the item would be $1,473.53.

What is an exponential function?

An exponential function is a mathematical equation depicting the relationship between one variable and another with a periodic constant rate of growth or decline.

Exponential functions are classified into two:

Exponential growth functionExponential decay function.

Let the number of years from today = t

Annual inflation rate = 2.6%

Current price = $1,200

Time in years = 8 years

Exponential function:

p(t)=1200 (1.026)^t

p(8) = 1,200(1.026)^8

= $1,473.53

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Find the missing angle

Answers

The measure of the missing angle is 20 degrees.

What is the measure of the missing angle?

The figure in the image is a right triangle.

Missing angle θ = ?Opposite to angle θ = 8Adjacent to angle θ = 20

To solve for the missing angle. we use trigonometric ratio.

Note: Tangent = Opposite / Adjacent

Plug in the values and solve for the angles:

tanθ = 8/20


Take the tan inverse

θ = tan⁻¹( 8/20 )

θ = 21.8°

θ ≈ 20°

Therefore, the angle is 20 degrees.

Option B)20° is the correct answer.

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I need help with solving and graph each of the following inequalities

Answers

The solution and graph of each of the inequalities is shown below:

k ≥ 4v < 17x ≤ 6y > 8g > 3.9w > -7

What is an inequality?

In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;

Greater than (>).Less than (<).Greater than or equal to (≥).Less than or equal to (≤).

Next, we would determine the solution for each of the inequalities as follows;

k + 7 ≥ 11

k ≥ 11 - 7

k ≥ 4

5 > v - 12

5 + 12 > v

17 > v

v < 17 (flip).

-5x ≤ -30

x ≤ 6

y/4 > 2

y > 2(4)

y > 8

10g + 19 > 49

10g > 49 - 19

10g > 39

g > 3.9

-w - 7 > 0

-w > 7

w > -7

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An urn contains 6 red and 8 black balls. Five balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all 5 balls drawn from the urn are black? Round your answer to three decimal places.

Answers

Since each ball is replaced after it is drawn, the probability of drawing a black ball on any given draw is 8 / (6 + 8) = 4 / 7. The probability of drawing 5 black balls in a row is the product of the probabilities of each individual draw, since the draws are independent of each other. Therefore, the probability of drawing 5 black balls in a row is:

(4/7) * (4/7) * (4/7) * (4/7) * (4/7) = 0.0724

Rounding to three decimal places, the probability that all 5 balls drawn from the urn are black is 0.072.

URGENT! Can someone please help?

Answers

a. The missing values of the logarithm expression is log₃(40).

b. The missing values of the logarithm expression is log₅(8).

c. The missing values of the logarithm expression is  log₂(1/25).

What is the missing of the logarithm expression?

The missing values of the logarithm expression is calculated as follows;

(a). log₃5 + log₃8, the expression is simplified as follows;

log₃5 + log₃8 = log₃(5 x 8) = log₃(40)

(b). The log expression is simplified as;

log₅3 - log₅X = log₅3/8

log₅X = log₅8

X = 8

(c).  The log expression is simplified as;

-2log₂5 = log₂Y

log₂5⁻² = log₂Y

5⁻² = Y

1/25 = Y

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johnathannes brahms destoryed or left many because of his work unplublished because
A. He didnt want to be sucessful
B. He thought they were too good to publish
C. He was a perfectionist and was never satisfied with them.
Answer asap for brainlist

Answers

Mary has the qualities of being a team leader.

Here, we have,

Team leaders upload any other stage of control. They’re employed to persuade and construct relationships, to make matters happen. Team chief’s to-do lists may be vast, however through categorizing them, it’ll come up with readability approximately the reason of your job.

A group chief has an outline of a set of humans, motivates, offers guidance and video display units performance. It is probably an professional identify alternate or a delegation exercising out of your management, however both way, being a group chief separates you out of your friends as a depended on individual to manipulate a assignment or institution of humans.

Team leaders and executives have exceptional responsibilities. Unlike managers, group leaders won’t have the authority to direct, alternate plans, put in force or construct their groups via hiring and firing. Their position is mostly a motivational and inspirational one inside an organization. They’re professional dating developers and mediators, liaising among the humans and management.

Thus this are the qualities of team leader.

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complete question;

Mary is a perfectionist . She loves participating on teams and often takes on too many tasks because she wants to ensure that they are done on time and on budget.

Classify the function type of f(x) = x+2−−−−−√3
x
+
2
3
A. square root
B. cube root
C. quadratic
D. exponential

Answers

The function type of f(x) = √3x + 2 is A. square root

Classifying the function type of f(x)

From the question, we have the following parameters that can be used in our computation:

f(x) = √3x + 2

In the above function, we have the notation

The notation √ is a square root notation

This means that the function type of f(x) is A. square root

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PLEASE HELP 50 POINTS

Answers

To check if a solution is correct for a system of equations, we substitute the values of the solution into both equations and see if they are true.

Let's assume that the solution for the system of equations is (x,y) = (1,-1).

To check if this solution is correct for the first equation y = 2x - 3, we substitute x = 1 and y = -1:

-1 = 2(1) - 3

-1 = -1

Since -1 = -1, the solution (1,-1) satisfies the first equation.

To check if this solution is correct for the second equation y = -1/2x + 2, we substitute x = 1 and y = -1:

-1 = -1/2(1) + 2

-1 = 1

Since -1 is not equal to 1, the solution (1,-1) does not satisfy the second equation.

Therefore, the solution (1,-1) is not a solution for the system of equations y = 2x - 3 and y = -1/2x + 2.

What is the value of c in the equation?

15.3 = StartFraction c Over 2.1 EndFraction
13.2
17.4
32.13
321.3

Answers

Answer:

32.13

Step-by-step explanation:

The value of c in the equation 15.3 = c/2.1 is 32.13. To solve for c, you can cross-multiply and simplify the equation to c = 15.3 x 2.1 = 32.13.

The solution to the equation "the quotient of a number and 8 is 16" is 128. To solve for the number, you can multiply both sides by 8 to get "the number is 16 x 8 = 128."

To translate the sentence "the quotient of a number and 8 is 16" into an equation, you can use "x" to represent the number and write x/8 = 16.

Answer:

c or a

Step-by-step explanation:

i thing a

A swimming pool is shaped like the figure below. Each end is a semicircle, and the length and width of the rectangle are 60 feet and 30 feet, respectively.

Answers

The area of the border is 105.53 feet².

We have,

The swimming pool is a combination of two shapes.

Rectangle:

Length = 60 feet

Width = 30 feet

Area = 60 x 30 = 1800 feet²

Semicircle:

Diameter = 30 feet

Radius = 15 feet

Area = π/2 r² = 1/2 x 3.14 x 15 x 15 = 353.25 feet².

Now,

The area of the swimming pool.

= 1800 + 353.25

= 2153.25 feet²

Now,

Without the border.

Area of the swimming pool.

= rectangle area + semicircle area

= 60 x (30 - 1) + 1/2 x π x (15 - 1)²
= 60 x 29 + 1/2 x 3.14 x 14 x 14

= 1740 + 307.72

= 2047.72 feet²

Now,

The area of the border.

= 2153.25 - 2047.72

= 105.53 feet²

Thus,

The area of the border is 105.53 feet².

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3cm
7 cm
2 cm
Surface area of the prism

Answers

The surface area of the rectangular prism is 82 square cm.

Given that:

Length, L = 3 cm

Width, W = 7 cm

Height, H = 2 cm

Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as,

SA = 2(LW + WH + HL)

The surface area of the rectangular prism is calculated as,

SA = 2 x (3 x 7 + 7 x 2 + 2 x 3)

SA = 2 x (21 + 14 + 6)

SA = 2 x 41

SA = 82 square cm

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Calculus please help

Answers

Answer:

[tex]f(x)=\dfrac{1}{20}x^5+\sinh(x)-\dfrac{1}{2}\sinh(2)x+6[/tex]

Step-by-step explanation:

Given:

    [tex]\phantom{ww} \bullet\;\;\;f''(x)=x^3+\sinh(x)[/tex]

    [tex]\phantom{ww} \bullet\;\;\;f(0)=6[/tex]

    [tex]\phantom{ww} \bullet\;\;\;f(2)=7.6[/tex]

To find f'(x), integrate f''(x):

[tex]\begin{aligned}\displaystyle f'(x)=\int f''(x)\; \text{d}x&=\int \left(x^3+\sinh(x)\right)\; \text{d}x\\\\&=\int x^3\;\text{d}x+\int \sinh(x)\; \text{d}x\\\\&=\dfrac{1}{4}x^4+\cosh(x)+\text{K}\end{aligned}[/tex]

To find f(x), integrate f'(x):

[tex]\begin{aligned}\displaystyle f(x)=\int f'(x)\; \text{d}x&=\int \left(\dfrac{1}{4}x^4+\cosh(x)+\text{K}\right)\;\text{d}x\\\\&=\int \dfrac{1}{4}x^4\; \text{d}x+\int \cosh(x) \; \text{d}x + \int \text{K}\; \text{d}x\\\\&=\dfrac{1}{20}x^5+\sinh(x)+Kx+\text{C}\end{aligned}[/tex]

Substitute f(0) = 6 to determine the value of the constant C:

[tex]\begin{aligned}f(0)=\dfrac{1}{20}(0)^5+\sinh(0)+K(0)+\text{C}&=6\\\\0+0+0+\text{C}&=6\\\\\text{C}&=6\end{aligned}[/tex]

Substitute f(2) = 7.6 and C = 6 to determine the value of the constant K:

[tex]\begin{aligned}f(2)=\dfrac{1}{20}(2)^5+\sinh(2)+K(2)+6&=7.6\\\\1.6+\sinh(2)+2K+6&=7.6\\\\\sinh(2)+2K&=0\\\\2K&=-\sinh(2)\\\\K&=-\dfrac{1}{2}\sinh(2)\end{aligned}[/tex]

Therefore, function f(x) is:

[tex]\boxed{f(x)=\dfrac{1}{20}x^5+\sinh(x)-\dfrac{1}{2}\sinh(2)x+6}[/tex]

[tex]\textsf{As}\;\;\sinh(2)=\dfrac{e^4-1}{2e^2},\;\textsf{we can also write the equation as:}[/tex]

[tex]f(x)=\dfrac{1}{20}x^5+\sinh(x)-\dfrac{1}{2}\left(\dfrac{e^4-1}{2e^2}\right)x+6[/tex]

[tex]f(x)=\dfrac{1}{20}x^5+\sinh(x)-\left(\dfrac{e^4-1}{4e^2}\right)x+6[/tex]

Name 2 other categories of data you could use to better understand the physical fitness levels of these students.

Answers

Two other categories of data that could be used to better understand the physical fitness levels of students are:

Body composition data:

Cardiovascular fitness data:

We have,

Two other categories of data that could be used to better understand the physical fitness levels of students are:

Body composition data:

This data can include measurements such as body mass index (BMI), body fat percentage, and waist circumference.

By collecting body composition data for students, we can better understand their overall physical health and identify potential risk factors for chronic diseases related to physical fitness.

Cardiovascular fitness data:

This data can include measurements such as resting heart rate, maximal oxygen uptake (VO2 max), and cardiovascular endurance test results.

By collecting cardiovascular fitness data for students, we can better understand their cardiovascular health and fitness levels, as well as identify potential risk factors for heart disease and other related conditions.

Thus,

Two other categories of data that could be used to better understand the physical fitness levels of students are:

Body composition data:

Cardiovascular fitness data:

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HELP FASTER WILL GIVE BRAINLIEST!!!!!!!!! NOTICE ITS + AND THEN - IN EQUATION NOT TWO +, SO D ISNT CORRECT!!!!!!

Identify the correct graph of the system of equations.

3x + y = 12
x − 4y = 4

The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma 12.
The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 12.
The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma 12.
The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 12.

Answers

The correct graph of the system of equations 3x + y = 12 and x - 4y = 4 is:

The graph shows a line with an x-intercept at (4, 0) and a y-intercept at

(0, -1). There is a second line with an x-intercept at (4, 0) and a y-intercept at (0, 12).

We have,

To graph the system of equations 3x + y = 12 and x − 4y = 4, we first need to rearrange them in slope-intercept form (y = mx + b) where m is the slope and b is the y-intercept:

3x + y = 12 => y = -3x + 12

x - 4y = 4 => y = (1/4)x - 1

Now we can see that the first equation has a slope of -3 and a y-intercept of 12, while the second equation has a slope of 1/4 and a y-intercept of -1.

Now,

The x-intercept is when y = 0.

So,

3x + y = 12

3x = 12

x = 4

And,

x - 4y = 4

x = 4

Thus,

The correct graph of the system of equations 3x + y = 12 and x - 4y = 4 is:

The graph shows a line with an x-intercept at (4, 0) and a y-intercept at

(0, -1). There is a second line with an x-intercept at (4, 0) and a y-intercept at (0, 12).

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help
A grocery store clerk is placing cans of soup on an 8-ft long shelf. If the cans are lined up in a row, how many more of the smaller cans will fit on the shelf than the larger cans? Round to the nearest whole number.

Answers

There is 1 smaller can that will be put on the shelve.

Given that, a clerk is placing cans of soup on an 8-ft long shelf, we need to find how many more of the smaller cans will fit on the shelf than the larger cans,

Volume of small cans = 127.2 in³

Therefore,

127.2 = 3.14 × 4.5 × r²

r² = 127.2 / 14.13

r² = 9

r = 3

Similarly, the volume of the large can = 301.6 in³

301.6 = 3.14 × 6 × r²

r² = 16

r = 4

The number of small cans that can be out on the shelve = 8/3 ≈ 9

The number of larger cans that can be out on the shelve = 8/4 = 2

Hence, there is 1 smaller can that will be put on the shelve.

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(c) log12-(1/2log 9+1/3 log8) write a single form equation ​

Answers

The log expression in single equation is   log 12 - log 3 + log 2.

What is the solution of the log equation?

The solution of the log equation is calculated by applying the following method.

log 12 - ¹/₂log 9  +  ¹/₃log 8

we can simplify the equation as follows;

log 12 - log 3 ⁽² ˣ ¹/₂⁾ +  log 2 ⁽³ ˣ ¹/₃⁾

= log 12 - log 3¹ + log 2¹

=  log 12 - log 3 + log 2

Thus, the log equation or expression has been simplified in the form of single equation.

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Triangle ABC and triangle DEF are similar. What is the measure
of side DF?
B
E
9 cm
15 cm
D
с
? cm
25 cm
F

Answers

The measure of side DF is 15cm

What are similar triangles?

Similar triangles are triangles that have the same shape, but their sizes may vary. For two traingles to be similar, the corresponding angles of the triangles must be equal.

And also, the ratio of corresponding sides of Similar triangles are equal

This means;

15 /25 = 9/DF

representing DF by x

15/25 = 9/x

15x = 25×9

15x = 225

divide both sides by 15

x = 225/15

x = 15cm

Therefore the measure of DF is 15cm

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5a-3b=7b find the ratio of a:b
(i need answers quick)

Answers

The ratio of a:b in 5a-3b=7b is 4:5.

We know that,

A ratio is an ordered pair of numbers a and b, written as a/b where b does not equal 0. A proportion is an equation in which two ratios are equal to each other. For example, if there are 2 boys and 6 girls, you can write the ratio as: 1 : 3 (for every boy there are 3 girls).

Ratios compare two numbers obtained by dividing. If one data point (A) is compared to another data point (B), it is expressed as A/B. It means that we are partitioning information A from information B. For example, if A is five and B is 10, your ratio would be 5/10, or 1/2.

For above information,

5a - 3b =  7b

5a = 7b- 3b

5a= 4b

So, a/b= 4/5

a:b  is 4:5

Thus, the ratio of a:b in 5a-3b=7b is 4:5.

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clara is running a bakery she has made a street sign to direct people to her bakery . She painted one of the post and sign. What is the painted area?8in,8in,5in, 60in, 4in

Answers

The painted area of the sign is approximately 324 square inches. This was calculated by finding the area of the pole, square signboard, and triangle portion of the signboard and adding them together.

To find the painted area, we need to find the area of the pole, the area of the square signboard, and the area of the triangular portion of the signboard.

Area of pole

The pole is a rectangular prism with height 60in and width 4in. Therefore, the area of the pole is:

60in x 4in = 240 sq. in.

Area of square signboard

The square signboard has a side length of 8in. Therefore, the area of the square signboard is:

8in x 8in = 64 sq. in.

Area of triangular portion of the signboard

The triangular portion of the signboard has a base of 8in and a height of 5in. Therefore, the area of the triangular portion of the signboard is:

(1/2) x 8in x 5in = 20 sq. in.

Total painted area

The total painted area is the sum of the area of the pole, the area of the square signboard, and the area of the triangular portion of the signboard. Therefore, the painted area is:

240 sq. in. + 64 sq. in. + 20 sq. in. = 324 sq. in.

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--The given question is incomplete, the complete question is given

" clara is running a bakery she has made a street sign to direct people to her bakery . She painted one of the post and sign. What is the painted area?8in,8in,5in, 60in, 4in "--

Line ac and df are parallel they are cut by transversal Hj with your partner find the seven unknown angle measures in the diagram explain your reasoning. What do you notice about the angles with vertex B and the angles with vertex E

Answers

The measure of the unknown angles in the parallel lines AC and DF with transversal HJ are as follow,

m ∠DEH = 63° , m ∠BEF = 63° ,m ∠CBJ = 63°, m ∠CBE = 117° , m ∠FEH = 117° , m ∠BED = 117° , and m ∠ABJ = 117°.

Two lines AC and DF are parallel to each other  in the attached figure

Transversal HJ cut  lines AC and DF at point B and E respectively.

Measure of ∠ABE = 63°.

Using the result based on corresponding angles, alternate interior angles , and vertically opposite angles of a parallel lines we get,

Measure of ∠ABE ≅ Measure of ∠DEH ( corresponding angles)

⇒Measure of ∠DEH = 63°

Measure of ∠ABE ≅ Measure of ∠BEF ( alternate interior angles)

⇒Measure of ∠BEF = 63°

Measure of ∠ABE ≅ Measure of ∠CBJ ( vertically opposite angles)

⇒Measure of ∠CBJ = 63°

Using the result of linear pair angles,

Measure of ∠ABE + Measure of ∠CBE = 180°

⇒ Measure of ∠CBE = 180° -63°

⇒  Measure of ∠CBE = 117°

Measure of ∠CBE ≅ Measure of ∠FEH ( corresponding angles)

⇒Measure of ∠FEH = 117°

Measure of ∠CBE ≅ Measure of ∠BED ( alternate interior angles)

⇒Measure of ∠BED = 117°

Measure of ∠CBE ≅ Measure of ∠ABJ ( vertically opposite angles)

⇒Measure of ∠ABJ = 117°

Therefore, the measure of the seven unknown angles formed in the parallel line are given by m ∠DEH = 63° , m ∠BEF = 63° ,m ∠CBJ = 63°, m ∠CBE = 117° , m ∠FEH = 117° , m ∠BED = 117° , and m ∠ABJ = 117°.

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The above question is incomplete, the complete question is:

Lines AC and DF are parallel. They are cut by transversal HJ with your partner find the seven unknown angle measures in the diagram explain your reasoning. What do you notice about the angles with vertex B and the angles with vertex E.

In the attached figure.

The table shows the results of rolling a die several times. Outcome 1 2 3 4 5 6 Number of times outcome occurred 7 4 4 5 6 4 To the nearest percent, what is the experimental probability of rolling a 6? Question 1 options: 17% 20% 13% 67%

Answers

The experimental probability of the rolling a 6 is 13%.

How to find the experimental probability of rolling a 6?

Probability is the likelihood of a desired event happening. Experimental probability is a probability that relies mainly on a series of experiments.

From the table:

The total number of times all the numbers appear is:

total number of times = 7 + 4 + 4 +  5 + 6 + 4 = 30

The number six (6) occurred 4 times.

Experimental probability = (occurrence of 6 / total number of times)

Experimental probability = 4/30 * 100

Experimental probability = 13%

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The area of a square table top can be represented by (9x^2-30x+25) square feet. The perimeter of the table top is 34 feet. What is the value of x? Explain ow you solved this problem.

Answers

The requried value of x that satisfies the problem is 4.5,

Let's start by finding the side length of the square tabletop, which is equal to the square root of its area. We have:

Area = 9x² - 30x + 25

Side length = √(Area) = √(9x² - 30x + 25)

To find x, we need to use the fact that the perimeter of the table top is 34 feet. The perimeter of a square is given by 4 times the length of one of its sides, so we can write:

Perimeter = 4 * Side length

34 = 4 * √(9x² - 30x + 25)

8.5 = √(9x² - 30x + 25)

9x² - 30x - 47.25 = 0

We can solve this quadratic equation by using the quadratic formula gives,

x = 4.5 and -1.16

Therefore, the value of x that satisfies the problem is approximately 4.5, since the other solution is negative and not meaningful in this context.

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The distance between (2,2) and (8,2) is 6 units on a coordinate plane. Select all of the pairs of points that are 6 units apart.

Answers

The points are not at a distance of 6 units from each other.

Given that the distance between point (2, 2) and point (8, 2) is 6 units a coordinate plane.

We need to find which other pairs of points are also 6 units apart.

The distance between two points (x₁, y₁), (x₂, y₂) are 6 if and only if either

( x₂ - x₁ = 6 and y₂ = y₁ )or ( x₂ = x₁ and y₂ - y₁ = 6 ).

If either of the conditions is satisfied, then only we can say that the two points has distance of 6 units between them.

Now, As given

Let (x₁, y₁) = ( 2, 2) , (x₂, y₂) = (8, 2)

Check whether the conditions are satisfied or not .

Here x₁ = 2 , x₂ = 8, y₁ = 2, y₂ = 2

Now,

x₂ - x₁ = 8 - 2 = 6 , y₂ - y₁ = 2 - 2 = 0

∴ we get

1st condition is satisfied, So the points have a distance of 6 units between them.

Now,

Let us suppose another point (x₁, y₁) = ( 4, 3) , (x₂, y₂) = (3, 3)

Here x₁ = 4 , x₂ = 3, y₁ = 3, y₂ = 3

Now,

x₂ - x₁ = 4 - 3 = 1 , y₂ - y₁ = 3 - 3 = 0

Here neither of the conditions are satisfied.

So, the points are not at a distance of 6 units from each other.

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