All categories

3 years ago

Help, please explain in detail how you answer number 2

Mathematics

2 answers:

timurjin [86]3 years ago

7 0

Answer:

Step-by-step explanation:

height=√(4^2-2^2)=√(16-4)=√12=2√3

area of base=1/2×base×height=1/2×4×2√3=4√3

volume of prism=base area×height=4√3×8=32√3 cm³

TEA [102]3 years ago

4 0

Answer:

Correct answer: V = 55.36 cm³

Step-by-step explanation:

Given:

a = 4 cm edge of the bases

H = 8 cm the height of the prism

Area of the base is equilateral triangle which area is:

B = a² · √3 / 4 = 4² · 1.73 / 4 = 16 · 1.73 / 4 = 6.92 cm²

Volume of the prism is:

V = B · H = 6.92 · 8 = 55.36 cm³

V = 55.36 cm³

God is with you!!!

You might be interested in

1. Katie buys a bag of cat food that contains 8 cups of dry food. She feeds her cat, Elmer, of a cup of food

Makovka662 [10]

Answer:

Step-by-step explanation:

For the points lol

5 0

3 years ago

Rita's family is moving to Grand Junction to Dallas. The moving van averages 60 miles each hour. About how many hours does the v

Eddi Din [679]

Answer:

16 hours and 20 minutes.

Step-by-step explanation:

Please consider the complete question.

Rita's family is moving to Grand Junction to Dallas, which is 980 miles. The moving van averages 60 miles each hour. About how many hours does the van take to reach Dallas?

To find the time taken by van to reach Dallas, we will divide total distance by speed.

$\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

$\text{Time taken to reach Dallas}=\frac{980\text{ Miles}}{60\frac{\text{ Miles}}{\text{Hour}}}$

$\text{Time taken to reach Dallas}=\frac{980\text{ Miles}}{60}\times \frac{\text{ Hour}}{\text{Miles}}$

$\text{Time taken to reach Dallas}=\frac{98}{6}\text{ Hour}$

$\text{Time taken to reach Dallas}=16.3333\text{ Hour}$

Let us convert 0.3333 hours into minutes by multiplying 0.3333 by 60.

$0.3333\times 60=19.998\approx 20$

Therefore, it will take 16 hours and 20 minutes for the van to reach Dallas.

5 0

3 years ago

This table shows values represented by an exponential function.

krok68 [10]

Answer:

C. 12

Step-by-step explanation:

Average rate of change = $\frac{f(b) - f(a)}{b - a}$

Where,

a = 1, f(a) = 3

b = 3, f(b) = 27

Average rate of change = $\frac{27 - 3}{3 - 1}$

Average rate of change = $\frac{24}{2} = 12$

Average rate of change for the interval from x = 1 to x = 3 is 12

4 0

3 years ago

Someone please answer this lol xx

Tamiku [17]

The answer is 4 lol

3 0

3 years ago

Which expressions have exactly two factors? Choose ALL that apply.

marishachu [46]

Answer: The answer is F.

Step-by-step explanation: It’s F because the number would be multiplied equally because all of the number are multiplied by 2. The rest of them either have variables or variables with numbers in them, which looks kind of funky, so F is the answer. I hope you get it right :). Sorry, if I was late for the reply and if you already figured it out… :(.

4 0

3 years ago