All categories

2 years ago

Use formulas to find the lateral area and surface area of the prism.

Mathematics

1 answer:

TiliK225 [7]2 years ago

8 0

Step-by-step explanation:

Finding surface area

To find the surface area of a prism, use the formula SA=2B+ph, where SA stands for surface area, B stands for area of the base of the prism, p stands for the perimeter of the base, and h stands for the height of the prism. Since this is a triangular prism, substitute the area formula of a triangle for B.

You might be interested in

Solve for g in the proportion. 3/g = 24/16

Nata [24]

Answer:

This is your answer ☺️☺️☺️

5 0

3 years ago

Read 2 more answers

How can a solution to a system of linear equations be determined exactly by graphing?

givi [52]

A solution something something and that’s the answer

5 0

3 years ago

You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estim

pogonyaev

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36$

And rounded up we have that n=656

Step-by-step explanation:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 80% of confidence, our significance level would be given by $\alpha=1-0.80=0.20$ and $\alpha/2 =0.10$ . And the critical value would be given by:

$z_{\alpha/2}=\pm 1.28$

Solution to the problem

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

Since we don't have prior info for the proportion of interest we can use $\hat p=0.5$ as estimator. And on this case we have that $ME =\pm 0.025$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36$

And rounded up we have that n=656

5 0

3 years ago

Chemical company makes two brands of antifreeze. The first brand is

Hatshy [7]

We have 60% and 85% antifreeze
We need 140 gallons of 70% antifreeze
x + y = 140
.60x + .85y = .70 * 140

X = 84 gallons 60%
Y = 56 gallons 85%

6 0

3 years ago

(2 + 3i) + (3 – 4i) (3 – 5i) – (–2 – i) (2 − 4i)(1+ 3i) 2i(−1+ 3i)

grandymaker [24]

Answer:

See below ~

Step-by-step explanation:

Question 1

(2 + 3i) + (3 - 4i)
5 - i

Question 2

(3 – 5i) – (–2 – i)
3 - 5i + 2 + i
5 - 4i

Question 3

(2 − 4i)(1+ 3i)
2 - 4i + 6i - 12i²
14 + 2i

Question 4

2i(-1 + 3i)
-2i + 6i²
-6 - 2i

6 0

2 years ago