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3 years ago

The base of a square prism has an area of 16 in. The

Mathematics

2 answers:

Inessa05 [86]3 years ago

7 0

Surface Area of square prism = 896 inches^2

Step-by-step explanation:

Base of a square prism has an area = 16 in

Height of prism = 6 in

Surface Area of square prism = ?

The formula used to calculate the Surface Area of square prism is:

$Surface\,\,Area=2a^2+4ah$

where a is base area and h is height.

Putting Values to find Surface area:

$Surface\,\,Area=2a^2+4ah\\Surface\,\,Area=2(16)^2+4(16)(6)\\Surface\,\,Area=2(256)+4(96)\\Surface\,\,Area=512+384\\Surface\,\,Area=896$

So, Surface Area of square prism = 896 inches^2

Keywords: Surface Area of square prism

Learn more about Surface Area of square prism at:

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MAVERICK [17]3 years ago

5 0

Answer:

i think it's c

Step-by-step explanation:

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Pls help me I give brainliest

Aleksandr-060686 [28]

The answer would be 20 books
4x5=20

4 0

2 years ago

Read 2 more answers

What is the value of x? 45° 2 (2x - 5) > n

Vladimir [108]

Answer:

70 degrees

Step-by-step explanation:

Find the diagram attached

The sum of the angles is supplementary that is

45 + 2x- 5 = 180

2x + 40 = 180

2x = 180 - 40

2x = 140

x = 140/2

x = 70

Hence the value of x is 70 degrees

4 0

3 years ago

PLZZZZ HELP ME

Alecsey [184]

Answer:

D $1.50

Step-by-step explanation:

240/8 = 30p or 30 cents in America

30 x 5 = 150 cents = $1.50

5 0

3 years ago

PLEASE ANSWER QUICKLY ITS TIMED!!! Which is the correct calculation for the volume of the prism

IgorLugansk [536]

Answer:

$=49.5cm^3$

so B is the answer $49\frac{1}{2} cm^3$

Step-by-step explanation:

$V=whl=2.75*6*3=49.5cm^3$

5 0

3 years ago

A college requires applicants to have an ACT score in the top 12% of all test scores. The ACT scores are normally distributed, w

DochEvi [55]

Answer:

a) The lowest test score that a student could get and still meet the colleges requirement is 27.0225.

b) 156 would be expected to have a test score that would meet the colleges requirement

c) The lowest score that would meet the colleges requirement would be decreased to 26.388.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 21.5, \sigma = 4.7$

a. Find the lowest test score that a student could get and still meet the colleges requirement.

This is the value of X when Z has a pvalue of 1 - 0.12 = 0.88. So it is X when Z = 1.175.

$Z = \frac{X - \mu}{\sigma}$

$1.175 = \frac{X - 21.5}{4.7}$

$X - 21.5 = 1.175*4.7$

$X = 27.0225$

The lowest test score that a student could get and still meet the colleges requirement is 27.0225.

b. If 1300 students are randomly selected, how many would be expected to have a test score that would meet the colleges requirement?

Top 12%, so 12% of them.

0.12*1300 = 156

156 would be expected to have a test score that would meet the colleges requirement

c. How does the answer to part (a) change if the college decided to accept the top 15% of all test scores?

It would decrease to the value of X when Z has a pvalue of 1-0.15 = 0.85. So X when Z = 1.04.

$Z = \frac{X - \mu}{\sigma}$

$1.04 = \frac{X - 21.5}{4.7}$

$X - 21.5 = 1.04*4.7$

$X = 26.388$

The lowest score that would meet the colleges requirement would be decreased to 26.388.

6 0

4 years ago