What is the surface area of this square pyramid
18 ft
33ft
36 ft
57 ft

Answer:

x = 12

Step-by-step explanation:

It is a 90° angle which means that both of the angles need to add up to 90. 90-20 =70. 6×12 = 72.

6×9= 72

72-2 = 70

It adds up.

Hope this helps.

Answer:

Step-by-step explanation:

question

Answer:

the tank at the pet store

Step-by-step explanation:

5x4x2 = 40

35<40

Volume of a cylinder is the area of the base x the height.

Area of base = pi x r^2 = 3.14 x 2^2 = 12.56

Volume = 12.56 x 8 = 100.48 units^3

Answer:

32 pi units^3

Step-by-step explanation:

The volume of a cylinder is given by

V = Bh  where B is the area of the base

The base is a circle

The area of a circle is given by

A = pi r^2

The radius is 2

A = pi (2)^2 = 4pi

The area of the base is 4pi

The height is 8

V = 4pi *8

V = 32 pi units^3

ANSWER:

245.83

Step-by-step explanation:

16,780/100=167.8

167.8 x 1.465= 245.827

Using unitary method, Adam's monthly payment is 245.83 dollar.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Monthly payment with 12.5% interest rate for 10 years per 100 dollar is 1.465 dollar.

Monthly payment with 12.5% interest rate for 10 years per 1 dollar is 0.01465 dollar.

Monthly payment with 12.5% interest rate for 10 years per 16780 dollar is 1.465 * 16780 dollar = 245.83 dollar.

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Answer: 5.32 × 10^12

Step-by-step explanation:

This is a question relating to indices. In indices, we add the power given for question relating to multiplication. Hence, this will be:

= (2.8•10^8)(1.9•10^4)

= (2.8 × 1.9) × 10^8+4

= 5.32 × 10^12

Therefore, the answer to the question will be 5.32 × 10^12.

Answer:

0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

A pretzel company calculated that there is a mean of 73.5 broken pretzels in each production run with a standard deviation of 5.1.

This means that [tex]\mu = 73.5, \sigma = 5.1[/tex]

Find the probability that there will be fewer than 69 broken pretzels in a run.

This is the p-value of Z when X = 69.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{69 - 73.5}{5.1}[/tex]

[tex]Z = -0.88[/tex]

[tex]Z = -0.88[/tex] has a p-value of 0.1894

0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.

Answer:

4. x = 6

5. x = 31

6. x = 34

Step-by-step explanation:

4. vertical angles

- 36/6 = 6

5. supplementary angles

180 - 56 = 124

124/4 = 31

6. complementary angle

90 - 22 = 68

68/2 = 34

Answer:

4. x = 6°

5. x = 31°

6. x = 34°

Step-by-step explanation:

4. Vertical Angles theorem states that the two opposite angles formed by 2 intersecting lines are congruent.

6x = 36°

x = 36 / 6

x = 6°

5.

180° - 56° = 4x

124° = 4x

x = 31°

6.

90° - 22° = 2x

68° = 2x

x = 34°

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Answer:

See graph and explanation

Step-by-step explanation:

Assuming you mean y ≤ −x² + 2x, you graph y = −x² + 2x and then fill in the area beneath the curve of the parabola to represent the included values. See the graph for a visual.

Answer:

I will have to work 11 hours to take my parents to a $ 120 cost dinner, and I will have $ 1 left in return.

If I wanted to tip 15%, I would have to work 13 hours and have $ 5 left over.

In turn, to determine the money generated from an indeterminate number of hours worked, the applicable formula would be 11X = Y, where Y is the money generated and X is the number of hours worked.

Step-by-step explanation:

Since I have just gotten my first job, and I have decided I want to take my parents out for dinner to celebrate and I have anticipated it will cost approximately $ 120 for the three of us to go out for dinner, and at my job, I make an hourly wage of $ 11, to determine how many hours would I need to work to pay for the dinner, and what if I wanted to add a 15% tip, and determine if my strategy could also allow me to find out how much money and or made for any number of hours, the following calculations must be performed:

120/11 = X

10.9 = X

11 x 11 = 121

Therefore, I will have to work 11 hours to take my parents to a $ 120 cost dinner, and I will have $ 1 left in return.

(120 x 1.15) / 11 = X

138/11 = X

12.54 = X

11 x 13 = 143

Therefore, if I wanted to tip 15%, I would have to work 13 hours and have $ 5 left over.

In turn, to determine the money generated from an indeterminate number of hours worked, the applicable formula would be 11X = Y, where Y is the money generated and X is the number of hours worked.

Answer:

The error made is that the graph of [tex]y=x^{2} +3[/tex] is a vertical translation up by 3, instead of down.

Step-by-step explanation:

Exponential functions, when they are graphed, use the function [tex]f(x)=a(x-h)^{2} +k[/tex].

In the equation, k expresses how much the graph shifts vertically. In this case, the function shifts vertically up by 3 from the parent function, [tex]y=x^{2}[/tex]. So, the translation is actually 3 units up compared to the graph of [tex]y=x^{2}[/tex].

Hope this helps and have an amazing day!! ❤

Answer:

Step-by-step explanation:

(14×2)+(14×4)

7×(3+5)

c, e and g

The equivalent value of the function is f ( a ) = ( 1/6 ) , when a > 3

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 1 / ( x + 2 )

Now , the value of x > 3

So , the value of f ( x ) = f ( a )

And , when x > 3

f ( 4 ) = 1 / ( 4 + 2 )

f ( 4 ) = 1 / 6

Hence , the function is f ( 4 ) = 1 / 6

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==========================================================  

Explanation:

The box plot, aka "box-and-whisker plot", visually represents five things. These things are:

This list of five items is known as the five number summary.

The min is the tip of the left most whisker, assuming there aren't any small outliers. The max is the opposite side, being the tip of the right most whisker (assuming no large outliers). If there are any outliers, then they'll be shown as "island" dots on their own separated from the main box plot. The left and right edges of the box are Q1 and Q3 respectively. The median is the vertical line inside the box. The vertical line does not have to be at the midpoint of the left and right edges of the box. It simply needs to be somewhere in the box.

--------

Since the box plot lets us know the min and max, we can compute the range because

range = max - min

and we can also calculate the interquartile range (IQR) because

IQR = Q3 - Q1

--------

So to summarize so far, the five number summary is visually represented as the box plot. The range and IQR can be computed using items from the five number summary.

We cannot compute the mean because we would need the actual data set of values, rather than the summary data. The same goes for the mean absolute deviation (MAD) and the mode. Since your teacher is looking for things that cannot be determined from a box plot, we'll go for answers B, C and E.

In other words, we rule out choices A, D, and F because we can compute or determine those values from a box plot.

Answer:

Sonya got 16 questions correct.

Step-by-step explanation:

8/10=80%

80%×20=16

(To check)

16/20=80%

Answer:

A. 91

Step-by-step explanation:

Supplementary angles are 2 angles that when added together, equal 180 degrees. 91+89=180

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Answer:

$919.98

Step-by-step explanation:

To solve using a financial calculator do

N=8

I/Y=10

PMT=85

FV=1000

CMPT PV get 919.98

To do by hand find the present value of the interst payments

85*(1-(1/1.1)^8)

which is 453.4687

Find the present value of the final ballon payment

1000*(1/1.1)^8

which is 466.507

take the sum

466.507+453.4678= 919.98

Answer:

the consecutive numbers are: 23, 25, 27, 29, 31.

Step-by-step explanation:

23+25+27 is 75

29+31 is 60

75-60 is 15

Answer:

Step-by-step explanation:

 40% + 35 % = 80 %    so 20% are dated after 1980

20% is .20 in decimal form

.20 (1600) = 320 coins dated after 1980

Answer:

2.88 miles

Step-by-step explanation:

because 3.6/.5 = 7.2

then 7.2 × .4 = 2.88

Answer: C is the answer bc it is asking what is more grader

Step-by-step explanation:

Answer:

0.30 you divided the total by the number of units which is 4

Answer:

£ 0.3

Step-by-step explanation:

Given that , a pack of 4 chocolates costs £1.20. We need to find cost of one chocolate .

=> 4 chocolates costs £1.20 .

=> 1 chocolate will cost £1.20/4 = £ 0.3

Answer:

12, because both dogs and birds only have 12 heads

Answer:

H  0

​ :μ=18.2  ∘  C

H  a

 :μ>18.2  ∘  C

​

Step-by-step explanation:

Khan............... The null hypothesis has a statement of equality, and the direction of alternative hypothesis (>)(>)left parenthesis, is greater than, right parenthesis matches her belief that last year was warmer.

The three conditions for hypothesis testing are approximately met, and the null hypothesis is that the population mean daily high temperature in Buenos Aires is 18.2∘C.

Hypothesis Testing is a type of statistical analysis in which you put your assumptions about a population parameter to the test. It is used to estimate the relationship between 2 statistical variables.

here, we have,

The three conditions for hypothesis testing are approximately met based on the information given.

Null hypothesis (H0) is that the population mean daily high temperature in Buenos Aires is 18.2∘C. Alternative hypothesis (Ha) is that the population mean daily high temperature in Buenos Aires is greater.

The test statistic is calculated as (sample mean - population mean) / (sample standard deviation / sqrt(sample size)).

The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed test statistic, assuming the null hypothesis is true. It can be calculated using a t-distribution with degrees of freedom equal to the sample size minus one.

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Answer:

320 kilometers

Step-by-step explanation:

1/2 -- (60 * 2) = 120 km

rest pf the trip -- 100 km per hour -- 2 hours left -- (100 * 2) = 200 km

Therefore, 120 + 200 = 320 km

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Answer:

second

Step-by-step explanation:

substitute y=6 and x=1 in the given relations and see if works

y=2x will be 6 = 2*1 false

y=x+5 will be 6 = 1+5 true

because this is true check all the other y and x and if all true is good

7=2+5 true, 8=3+5 true 9= 4+5 true, 10=5+5 true, so second is good

y=2x+1 will be 6=2*1+1 false

y=3x+1 will be 6=3*1+1 false

Answer:

4

Step-by-step explanation:

1/4 of 16 is the same as 16 divided by 4. 16 divided by four is 4.