Step-by-step explanation:
a parallel line has the same slope. they just have different y-intersects (the y- value when x = 0).
the slope is the factor of x : -53
the y-intercept is given with the provided point (0, 2).
so, line j is
y = -53x + 2
A package of pencils has 10 pencils and costs $2. A package of markers has 8 markers and costs $4.
Kelsey bought 40 pencils and 24 markers.
Which statements are true? Select all that apply.
The statements that are true are: Option c) Kelsey spent more on the pencils than she spent on the markers.
Option e) Kelsey spent $24 in all.
The problem provides us with some information about the cost and quantity of packages of pencils and markers, as well as the quantities of pencils and markers that Kelsey bought. We need to use this information to determine which statements are true.
We know that a package of pencils has 10 pencils and costs $2, and a package of markers has 8 markers and costs $4.
Kelsey bought 40 pencils and 24 markers. We can use this information to determine the number of packages of each item that Kelsey bought:
Pencils: Kelsey bought 40 pencils, and each package has 10 pencils, so she must have bought 4 packages of pencils.
Markers: Kelsey bought 24 markers, and each package has 8 markers, so she must have bought 3 packages of markers.
Now we can use this information to evaluate the statements:
a) Kelsey bought 4 packages and 3 packages of markers - This statement is false. Kelsey actually bought 4 packages of pencils and 3 packages of markers.
b) Kelsey spent $4 in pencils - This statement is false. Kelsey bought 4 packages of pencils, and each package costs $2, so she spent a total of $8 on pencils.
c) Kelsey spent more on the pencils than she spent on the markers - This statement is true. Kelsey bought 4 packages of pencils, which cost a total of $8, and 3 packages of markers, which cost a total of $12. Therefore, she spent more on markers than on pencils.
d) Kelsey spent $20 dollars in all - This statement is false. Kelsey spent $8 on pencils and $12 on markers, so she spent a total of $20.
e) Kelsey spent $24 in all - This statement is true. Kelsey spent $8 on pencils (4 packages x $2 per package) and $12 on markers (3 packages x $4 per package), so she spent a total of $20.
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Find the coordinates of the vertex and the equation of the axis of symmetry for the parabola given by the equation.
y=x²-x-6
vertex (x,y) = (1/2, -25/4)
axis of symmetry=
The equation of the axis of symmetry is [tex]x = 1/2.[/tex]
What sort of equation would that be?The definition of the an equation in algebra is a logical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
What about the equation's meaning?A mathematical equation, such as 6 × 4 = 12 x 2, states that two quantities or values are equal. A noun that counts. When two or more components must be taken into account together in order to comprehend or describe the whole situation, this is known as an equations.
To find the equation of the axis of symmetry for the parabola[tex]y = x^2 - x - 6,[/tex] we first need to find the x-coordinate of the vertex.
We can use the formula [tex]x = -b/2a[/tex] to find the x-coordinate of the vertex. In this case, a = 1 and b = -1, so:
[tex]x = -(-1) / 2(1) = 1/2[/tex]
So the x-coordinate of the vertex is [tex]1/2[/tex].
To find the y-coordinate of the vertex,
x = 1/2
[tex]y = (1/2)^2 - (1/2) - 6 = -25/4[/tex]
So the coordinates of the vertex are [tex](1/2, -25/4).[/tex]
[tex]x = 1/2[/tex]
Therefore, the equation of the axis of symmetry is [tex]x = 1/2.[/tex]
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NO LINKS!!!! URGENT HELP PLEASE!!!
Please help find the value of each variable for #8 for Special Triangle: 30-60-90
Answer:
[tex]x = \frac{40\sqrt{3}}{3}\\\\y = \frac{20\sqrt{3}}{3}[/tex]
===================================================
Explanation:
The short leg is y because it is opposite the 30 degree angle.
The connection between the long leg and short leg is through this formula
[tex]\text{long leg} = (\text{short leg})*\sqrt{3}[/tex]
which applies to 30-60-90 triangles only.
Let's use that template to solve for y.
[tex]\text{long leg} = (\text{short leg})*\sqrt{3}\\\\20 = y\sqrt{3}\\\\y = \frac{20}{\sqrt{3}}\\\\y = \frac{20\sqrt{3}}{\sqrt{3}\sqrt{3}}\\\\y = \frac{20\sqrt{3}}{\sqrt{3*3}}\\\\y = \frac{20\sqrt{3}}{\sqrt{9}}\\\\y = \frac{20\sqrt{3}}{3}\\\\[/tex]
Then to find the hypotenuse x, we double the short leg.
[tex]x = 2y\\\\x = 2*\frac{20\sqrt{3}}{3}\\\\x = \frac{2*20\sqrt{3}}{3}\\\\x = \frac{40\sqrt{3}}{3}\\\\[/tex]
This formula works for 30-60-90 triangles only.
-----------
Side notes:
[tex]\frac{20\sqrt{3}}{3} \approx 11.54701\\\\\frac{40\sqrt{3}}{3} \approx 23.09401\\\\[/tex]
Answer:
x = 23.09 (2 d.p.)
y = 11.55 (2 d.p.)
Step-by-step explanation:
The interior angles of a triangle sum to 180°. Therefore, from inspection of the given diagram, the interior angles of the given right triangle are:
30°, 60° and 90°.This means the triangle is a special right triangle and that the 30-60-90 theorem can be applied to quickly find the measures of the missing sides.
What is a 30-60-90 triangle?A 30-60-90 triangle is a special right triangle where the measures of its sides are in the ratio 1 : √3 : 2.
Therefore, the formula for the ratio of the sides is b : b√3 : 2b where:
b = the shortest side opposite the 30° angle.b√3 = the side opposite the 60° angle.2b = the longest side (hypotenuse) opposite the right angle.From inspection of the given triangle, the side opposite the 60° angle is 20. Therefore:
[tex]\implies b\sqrt{3}=20[/tex]
[tex]\implies b=\dfrac{20}{\sqrt{3}}[/tex]
[tex]\implies b=\dfrac{20\sqrt{3}}{3}[/tex]
Substitute the found value of b into the expressions for the other two sides to find the values of x and y.
x is the side opposite the right angle. Therefore:
[tex]\implies x=2b[/tex]
[tex]\implies x=2\cdot \dfrac{20\sqrt{3}}{3}[/tex]
[tex]\implies x=\dfrac{40\sqrt{3}}{3}[/tex]
[tex]\implies x=23.09\; \sf units\;(2\;d.p.)[/tex]
y is the side opposite the 30° angle. Therefore:
[tex]\implies y=b[/tex]
[tex]\implies y=\dfrac{20\sqrt{3}}{3}[/tex]
[tex]\implies y=11.55\; \sf units\;(2\;d.p.)[/tex]
Solutionx = 23.09 (2 d.p.)y = 11.55 (2 d.p.)help fast How many miles is 17,600 yards?
10 miles
7 miles
5 miles
4 miles
Answer:
10 miles
the first option
Work Shown:
[tex]17600 \text{ yards} = 17600 \text{ yards}\times\frac{3 \text{ feet}}{1 \text{ yard}}\times\frac{1 \text{ mile}}{5280 \text{ feet}}\\\\= \frac{17600 \times 3\times 1}{1 \times 5280\times 1} \text{ miles}\\\\= \frac{52800}{5280} \text{ miles}\\\\= 10 \text{ miles}\\\\[/tex]
Take notice in the jump from the 1st to 2nd lines, we have the "yards" and "feet" units cancel out.
Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 1800 bacteria selected from this population reached the size of 2204 bacteria in five hours. Find the hourly growth rate parameter.
Note: This is a continuous exponential growth model.
Write your answer as a percentage. Do not round any intermediate computations, and round your percentage to the nearest hundredth.
The exponential growth of bacteria gives the growth percentage to be 4.05%.
What is an exponential function?
The formula for an exponential function is [tex]f(x) = a^x[/tex], where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.
Let N(t) be the number of bacteria in the population at time t.
According to the continuous exponential growth model, we have -
[tex]N(t) = N0 \times e^{(rt)}[/tex]
where N0 is the initial number of bacteria, r is the hourly growth rate parameter, and t is the time elapsed in hours.
We know that a sample of 1800 bacteria reached the size of 2204 bacteria in five hours, so we can use this information to find the hourly growth rate parameter.
First, we can set up a ratio of the final size to the initial size -
[tex]\frac{2204}{1800} = e^{5r}[/tex]
Simplifying, we get -
[tex]e^{5r} = 1.2244[/tex]
Taking the natural logarithm of both sides, we get -
5r = ln(1.2244)
Solving for r, we get -
r = ln(1.2244) / 5
On further simplifying, we get -
r = 0.20245 / 5
r ≈ 0.04049
To express the growth rate as a percentage, we can multiply by 100 -
r percentage = 100 × r ≈ 4.049
Rounding to the nearest hundredth, we get -
r percentage ≈ 4.05%
Therefore, the hourly growth rate parameter is approximately 4.05%.
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Which expression is equivalent to (Please see Q2a for equation) Prove your choice to be correct.
Answer:B
Step-by-step explanation:
we can show this as,
[tex]x^{y^{z} } =x^{yz} \\18^{21} *5^{27} /18^{3} =18^{18}*5^{27}[/tex]
Sanford bought two shirts for $24.95 each and a pair of pants for $39.95. He paid with a $100 bill. Assuming he paid no sales tax, how much change did he receive?
Assuming Sanford paid no sales tax, he received $10.15 in change.
What are basic arithmetic operations?
Basic arithmetic calculations are the fundamental operations used in mathematics to perform numerical computations. These operations include addition, subtraction, multiplication, and division of numbers. In addition, arithmetic calculations may also involve other concepts, such as fractions, decimals, percentages, and ratios.
The total cost of the two shirts is 2 x $24.95 = $49.90.
The total cost of the two shirts and the pair of pants is $49.90 + $39.95 = $89.85.
Sanford paid with a $100 bill, so his change would be:
$100 - $89.85 = $10.15
Therefore, Sanford received $10.15 in change.
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Find m1 if m5 = 142 and m4 = 65
The angles measures are m∠1 is 103, m∠2 is 38, m∠3 is 77.
Describe Angles?In geometry, an angle is a measure of the amount of turn between two lines or line segments that meet at a common endpoint, called the vertex of the angle. Angles are measured in degrees or radians.
A degree is a unit of measure for angles, where one full circle contains 360 degrees. A right angle, which forms a quarter of a circle, is 90 degrees. Angles that are smaller than a right angle are called acute angles, while angles that are larger than a right angle are called obtuse angles. Angles that add up to a straight line, which forms half of a circle, are called supplementary angles, while angles that add up to a full circle are called explementary angles.
A radian is another unit of measure for angles, where one full circle contains 2π radians. A right angle, which forms a quarter of a circle, is π/2 radians.
Here, m∠5 + m∠2 = 180 [ Supplementary Angles ]
142 + m∠2 = 180
m∠2 = 180 - 142 = 38
Now, m∠2 + m∠3 + m∠4 = 180 [ Angles in a Triangle ]
38 + m∠3 + 65 = 180
m∠3 = 180 - 103
m∠3 = 77
Again, m∠3 + m∠1 = 180 [ Supplementary Angles ]
m∠1 + 77 = 180
m∠1 = 180 - 77 = 103
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The complete question is:
At a market, 3.1 pounds of peaches cost $7.75.
How much did the peaches cost per pound?
The peaches cost $2.50 per pound.
Define the term Conversion rate?Conversion rate is the percentage of website visitors or potential customers who take a desired action, such as making a purchase, signing up for a newsletter, or filling out a form. In other words, it is the rate at which website visitors are converted into customers or subscribers.
To find the cost per pound of peaches, we need to divide the total cost by the weight in pounds.
Cost of 3.1 pounds of peaches = $7.75
Cost of 1 pound of peaches = $7.75 / 3.1
Cost of 1 pound of peaches = $2.50 (rounded to the nearest cent)
Therefore, the peaches cost $2.50 per pound.
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Find the missing angle measures (just write the number and not the word or symbol for degrees):
Angle a
The values of angles A , B, C are 140 , 40 , 140 respectively if other angle
is 40 degrees.
What are parallel lines ?
Parallel lines can be defined as lines which are equidistant from each other and which never intersect .
from the given figure ,
the angle b and 40 degrees are vertically opposite angles ,
vertically opposite angles are always equal
so,
b = 40
and sum of angles A and 40 is 180 degrees
so,
A + 40 = 180
A = 180 - 40
A = 140
And here similarly ,
angles A and C are vertically opposite angles ,
so,
C = 140 degrees.
Therefore, The values of angles A , B, C are 140 , 40 , 140 respectively if other angle is 40 degrees.
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You want to be able to withdraw $20,000 each year for 30 years. Your account earns 8% interest. How much do you need in your account at the beginning?
Yοu wοuld need apprοximately $274,394.92 in yοur accοunt at the beginning tο be able tο withdraw $20,000 each year fοr 30 years at an 8% interest rate.
Tο calculate the amοunt needed in the accοunt at the beginning tο withdraw $20,000 each year fοr 30 years, we can use the fοrmula fοr the present value οf an annuity: [tex]PV = PMT * ((1 - (1 / (1 + r)^n)) / r)[/tex]
Where:
PV = present value (amοunt needed in the accοunt at the beginning)
PMT = payment per periοd (annual withdrawal amοunt = $20,000)
r = interest rate per periοd (8% per year = 0.08)
n = tοtal number οf periοds (30 years)
Plugging in the given values, we get:
[tex]PV = 20,000 * ((1 - (1 / (1 + 0.08)^{30})) / 0.08)[/tex]
PV ≈ $274,394.92
Therefοre, yοu wοuld need apprοximately $274,394.92 in yοur accοunt at the beginning tο be able tο withdraw $20,000 each year fοr 30 years at an 8% interest rate.
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7.Almost" latest release DVDs and Video Games are on special at RetraVision. Todd buys two Games and three DVDs at a total cost of $148.85. His more extravagant friend buys three Games and 5 DVDs for a total of $230.75. Determine the sale price of each DVD and Video Game
Answer:
let video game be x
let DVDs be y
2x+3y=148.85
3x +5y=230.75
make x the subject of the formula
x=148.85-3y/2
3(148.85-3y/2)+5y =230.75
446.55-3y/2=230.75
461.5=446.55-3y
461.5-446.55 =-3y
-3y = 14.95
y=-4.987
x=
A dietitian was interested in the heights of 13-year-olds in the state. He gathered data from a random sample of 400 pediatricians in the state and wanted to create an appropriate graphical representation for the data. Which graphical representation would be best for the data?
Bar graph
Circle graph
Histogram
Line plot
Histogram would be the best for the data representation of the girls by dietitian.
What is histogram?Histogram, it is an approximate representation of the distribution of numerical data. The most popular graph for showing frequency distributions is a histogram. Though it also closely resembles a bar chart, there are significant differences. One of the seven basic quality tools is this useful gathering and analysing information tool.
Variable = the height of 13-year-olds in the state of Texas.
Where the height of each bar represents the frequency of observations.
[tex](2 - 2.5) feet\\\\(2.6 - 3) feet\\(3.1 - 3.5) feet\\(4.1 - 4.5) feet[/tex]
So, The best graphical representation of the dietitian's data would be a histogram.
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The construction below shows two possible triangles that can be formed when
4B - 3 inches and BC = 1.5 inches. Describe what happens to the length of AC
as point C moves counterclockwise around the circle toward point A.
The length would decrease at first to AB - BC then it would increase to the maximum of B + BC
What would happen when the point C moves counterclockwise around the circle toward point A.From the diagram we have that two triangles are formed when we have AB = 3 cm and when we have BC = 1.5cm
This would happen when at point AC we have C moving in a counterclockwise direction around A
As AC goes towards A, then we would have AC decrease at first to AB - BC. Then it would increase. The maximum length would be AB + BC
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Answer:
It decreases
Step-by-step explanation:
Determine whether the ordered pair is a solution to the system.
x + 4y > 10
3x - 2y < 12
a. (-2, 4) b. (3,1)
Answer:
a. (-2, 4) only
==================================================
Explanation:
Let's check point A.
We have x = -2 and y = 4 pair up together.
Plug these coordinates into the first inequality.
x + 4y > 10
-2 + 4*4 > 10
-2 + 16 > 10
14 > 10
We get a true statement, so (-2,4) is in the shaded solution region of the inequality x+4y > 10.
Repeat for the other inequality.
3x - 2y < 12
3*(-2) - 2*4 < 12
-6 - 8 < 12
-14 < 12
This is also true.
The point (-2,4) is also in the shaded solution region for 3x-2y < 12
Since it's in both regions simultaneously, it satisfies the system of inequalities.
Therefore, (-2,4) is a solution to the system.
See the diagram below. Point A is in the shaded region.
-------------------------------
Now we need to check point B.
We have x = 3 and y = 1. Let's plug those into the 1st inequality.
x + 4y > 10
3 + 4*1 > 10
3 + 4 > 10
7 > 10
That final statement is false, so (3,1) is not in the shaded region for x+4y > 10. We don't need to check the other region since this point needs to satisfy both inequalities to be considered a solution overall.
See the diagram below. Point B is outside the shaded region.
Angelica received a 12-year non-subsidized student loan of $13,000 at an annual interest rate of 5.2% (compounded monthly). She will begin repaying the loan after she graduates in 4 years. How much interest must she pay on the loan during the period of time that payments on the loan are not being made? (Round your answer to the nearest cent.) $ Determine her monthly payment on the loan. (Round your answer to the nearest cent.)
a) The total interest that Angelica must pay on the loan during the period that payments are not being made is $2,998.58.
b) Angelica's monthly payment on the loan is $204.07.
How are the total interest and monthly payment determined?The total interest when there were no repayments is determined using an online finance calculator.
The same calculator is used to determine the monthly payments after her graduation.
The total interest and the monthly payments are computed based on monthly compounding interest.
The amount of the non-subsidized student loan = $13,000
Annual compound interest rate = 5.2%
Loan period = 12 years
Non-repayment period = 4 years
Interest during the 4-year Non-Repayment Period:N (# of periods) = 48 months (4 years x 12)
I/Y (Interest per year) = 5.2%
PV (Present Value) = $13,000
PMT (Periodic Payment) = $-0
Results:
FV = $-15,998.58
Total Interest = $2,998.58
Monthly Payments:N (# of periods) = 96 months (8 years x 12)
I/Y (Interest per year) = 5.2%
PV (Present Value) = $15,998.58
FV (Future Value) = $0
Results:
Monthly Payments (PMT) = $-204.07
Sum of all periodic payments = $-19,590.49
Total Interest = $3,591.91
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Felix is visiting a shopping mall that has a rectangular shape with a diagonal walkway that goes from the entrance of the mall to the food court. The floor plan is shown below. What would be an equation Felix could use if wanted to find the distance, x, between the food court and the sports store? Select all that apply.
Answer:
The equation is tan(25.4°) = x/1,600, so
x = 1,600 tan(25.4°) = about 759.74 feet
Please give me an explanation on how to do these, I have more than just this one
Answer:33.34
Step-by-step explanation:
we'll use sinuses theorem for this which is,
[tex]\frac{x}{sina}=\frac{y}{sinb}\\\frac{27}{sin39} =\frac{x}{sin(90-39)} \\\frac{27}{sin39} =\frac{x}{sin51} \\x=\frac{sin51*27}{sin39}\\x=33.34[/tex]
Which inequalities are equivalent to n + 15 less-than 22? Select three options.
A: n + 15 minus 15 less-than 22 minus 15
B: n + 15 less-than 22 minus 15
C: n + 15 minus 22 less-than 22 minus 22
D: n + 15 + 6 less-than 22 + 6
E: n + 15 minus 22 less-than 22
Answer:
A, B, and D
Step-by-step explanation:
The inequality n + 15 less-than 22 can be simplified by subtracting 15 from both sides:
n + 15 - 15 < 22 - 15
This simplifies to:
n < 7
So, any inequality of the form n < 7 is equivalent to n + 15 less-than 22.
Out of the given options:
A: n + 15 minus 15 less-than 22 minus 15
This simplifies to n < 7, which is equivalent to the original inequality.
B: n + 15 less-than 22 minus 15
This simplifies to n < 7, which is equivalent to the original inequality.
C: n + 15 minus 22 less-than 22 minus 22
This simplifies to n - 7 < 0, which is not equivalent to the original inequality.
D: n + 15 + 6 less-than 22 + 6
This simplifies to n + 21 less-than 28, which simplifies further to n < 7, which is equivalent to the original inequality.
E: n + 15 minus 22 less-than 22
This simplifies to n - 7 less-than 0, which is not equivalent to the original inequality.
Therefore, options A, B, and D are equivalent to the inequality n + 15 less-than 22.
Answer:
its A C D
Step-by-step explanation:i took the test the answer i used was wrong
HELP ASAP PLEASE! A small box in the shape of a cube for packaging has a volume of 216 cubic inches.
For a medium box, the length, width, and height are all tripled. What is the ratio of the sides, area of the bases, and volumes of the boxes? Show your work.
What is the volume of a medium box? Show your work.
The ratio of the sides of the small box and the medium box is 1:3
The ratio of the area of the bases of the small box and the medium box is 1:9.
The ratio of the volumes of the small box and the medium box is 1:27.
The volume of a medium box is 5832 cubic inches.
What is a cube?
The solid shape of a cube has six square faces. Because every square face has the same side length, each face is the same size. A cube has 8 vertices and 12 edges. Each vertex is the intersection of three cube edges.
Given that a cube-shaped small packaging box has a volume of 216 cubic inches.
Assume the length of sides is a.
The volume of a cube is side³.
The volume of the small box is a³.
Thus,
a³ = 216
a³ = 6³
a = 6
The length of the small box is 6.
The area of the base of small box is 6×6 = 36 square inches.
The dimensions of a medium box are tripled in length, width, and height.
Thus the length of the medium box is 3×6 = 18 inches.
The area of the base of the medium box is 18×18 = 324 square inches.
The volume of cube medium box is 18×18×18 = 5832 cubic inches.
The ratio of the sides of small box and medium box is
6:18 = 1:3
The ratio of the area of bases of small box and the medium box is
36:324 = 1:9
The ratio of the volumes of small box and the medium box is
216:5834 = 1:27
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Which shows the expression Fifty-four decreased by a number squared
A. 54 - 2x
B. 45 - x 2square
C. 54 - x 2square
Answer:
C: 54-x^2
Step-by-step explanation:
54(decreased=minus)-number^2
What is the value of c in the equation below?
2^-4•2²=a=c
O-4
O-2
O1
64
O 714
Answer:
The value of "c" is 4.
Here's the solution:
2^-4 • 2² = a = c
2^-4 = 1/2^4 = 1/16
2² = 4
a = c = 1/16 • 4 = 1/4
Therefore, c = 1/4 = 0.25
Find the median of the set: 200,125,150,225,150,175,150,250,175
Answer:
175
Step-by-step explanation:
To find the median of a set of numbers, we must first arrange them numerically.
Arranging the given set in ascending order, we get:
125, 150, 150, 150, 175, 175, 200, 225, 250
The median is the middle number when the set is ordered this way. If the set has an odd number of values, the median is the middle value. If the set has an even number of values, the median is the average of the two middle values.
In this case, the set has nine values, so it is odd. The middle value is the fifth number, which is 175. Therefore, the median of the set is 175.
What is 48.312 rounded to the nearest tenths?
Answer: 48.3
Step-by-step explanation:
Answer:
48.3
Step-by-step explanation:
What's the lateral and the total surface area
The lateral surface area is 84 square centimeters and the total surface area is 96 square centimeters. The solution has been obtained by using the triangular prism.
What is a triangular prism?
A pentahedron with nine different nets, the triangular prism. Through their three rectangular sides, the bases' vertices and edges are connected. The rectangular sides of the triangular prism are joined side by side to one another. A triangle is represented by any cross-section that is parallel to the base faces.
We know that lateral surface area of prism is given by
A = (a + b + c) * h
Here, we are given
a = 4
b = 3
c = 5
h = 7
On substituting this, we get
⇒ A = (4 + 3 + 5) * 7
⇒ A = (12) * 7
⇒ A = 84 square centimeters
The formula for total surface area is
A = 2 * (area of base) + lateral surface area
Area of base = 0.5 * 3 * 4
Area of base = 6 square centimeters
So, we get
⇒ Total surface area = 2 * 6 + 84
⇒ Total surface area = 12 + 84
⇒ Total surface area = 96 square centimeters
Hence, the lateral and total surface area of the prism are obtained.
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Let S = {4, 9, 14, 19, 24, 29}, E = {9, 19, 29}, F = {4, 14, 24}, and G = {24, 29}. (Enter ∅ for the empty set.) Find the event (E ∩ F ∩ G)c.
Answer: Recall that E ∩ F ∩ G denotes the intersection of the three sets E, F, and G, and the superscript "c" denotes the complement of this set (i.e., everything outside of this intersection).
First, let's find E ∩ F ∩ G:
E ∩ F ∩ G = {24, 29}
Now, let's find the complement of this set:
(E ∩ F ∩ G)c = S - {24, 29}
This means that we take the set S and remove the elements 24 and 29.
So,
(E ∩ F ∩ G)c = {4, 9, 14, 19}
Step-by-step explanation:
Find the value of x in the triangle shown below.
Using the Pythagorean Theorem 2 4 X
Answer: We are given a right triangle where the two legs have lengths 2 and 4, and we need to find the length of the hypotenuse (which is denoted by x in the question). We can use the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. That is,
hypotenuse^2 = leg1^2 + leg2^2
Plugging in the values we know, we get:
x^2 = 2^2 + 4^2
Simplifying the right-hand side, we get:
x^2 = 4 + 16
x^2 = 20
Taking the square root of both sides (and noting that x must be positive since it is a length), we get:
x = sqrt(20) = 2sqrt(5)
Therefore, the length of the hypotenuse is 2sqrt(5).
Step-by-step explanation:
estimate the sum of 3/4 and 1/5 write an equation
Answer:
the answer is 19/20
Step-by-step explanation:
the explanation is 3/4 x 5/5=15/20+ 4/20=1/5 x 4/4
In the coordinate plane, the points....
Answer:
A'(4,-3) B'(6,11) C'(-7,-2)
Step-by-step explanation:
X-axis is (x,y) --> (x,-y)
A(4,3) --> (4,-3)
B(6,-11) --> (6,11)
C(-7,2) --> (-7,-2)
♡♡♡
How does this quote illustrate some of what Elie learned from Moishe the Beadle?
Moishe taught him the real answers lie in oneself. Elie sees the death of the boy as the death of the God within.
Moishe taught him that it was God's anger that resulted in the death of men. The boy represents God's wrath.
Moishe believed that God always had a plan. Hanging the boy must be part of his divine plan, which no man could understand.
Moishe taught that God required sacrifice. Elie believes the boy to be a sacrifice to God.
Answer:
The quote "Elie sees the death of the boy as the death of the God within" illustrates that Elie has learned from Moishe the Beadle that one's spirituality and relationship with God is a personal experience that resides within oneself. Moishe's teachings suggest that God is not necessarily an external force that determines the fate of individuals or the world, but rather a presence within oneself that must be nurtured and maintained. Elie's interpretation of the boy's death as the death of God within himself shows that he has internalized this lesson and is searching for meaning and understanding within his own experiences. This reflects Moishe's teachings that the "real answers lie in oneself," rather than in external sources of authority or dogma.
Step-by-step explanation: