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3 years ago

Find the perimeter of the triangle to the nearest unit A(-2,3) B(2,1) C(-2,1)

Mathematics

1 answer:

siniylev [52]3 years ago

7 0

Answer:

10 units

Step-by-step explanation:

We can find the length of the hypotenuse of this right triangle using the Pythagorean theorem.

AB² = AC² +BC²

AB² = 2² +4² = 20

AB = √20 ≈ 4.47

Then the perimeter is ...

P = AB +BC +CA = 4.47 +4 +2 = 10.47

P ≈ 10 units

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Find the exact volume of the cylinder.

Verizon [17]

Answer:

$\boxed {\boxed {\sf C. \ 200 \pi \ ft^3}}$

Step-by-step explanation:

We are asked to find the volume of the cylinder. The formula for calculating a cylinder's volume is:

$v= \pi r^2 h$

We know the height of the cylinder is 8 feet. We are given the diameter, the distance from edge to edge through the center. We want to find the radius, the distance from the edge to the center.

The radius is half the diameter.

r = d/2
r= 10 ft/2
r=5 ft

We know both variables (h= 8ft and r=5 ft) and can substitute them into the formula.

$v= \pi (5 \ ft)^2 * (8 \ ft)$

Solve the exponent.

5 ft * 5ft = 25 ft²

$v= \pi (25 \ ft^2)(8 \ft)$

Multiply the numbers in parentheses.

$v= \pi (200 \ ft^3)$

$v= 200 \pi \ ft^3$

The volume of the cylinder is <u>200π cubic feet and choice C is correct.</u>

5 0

3 years ago

A triangle has a perimeter of 31. The longest side is equal to 12. The difference of the other two is 3. What is length of the s

xenn [34]

Answer:

Step-by-step explanation:

The perimeter is the sum of the 3 sides of the triangle.

let the other 2 sides be x and x - 3 , then

12 + x + x - 3 = 31

2x + 9 = 31 ( subtract 9 from both sides )

2x = 22 ( divide both sides by 2 )

x = 11 and x - 3 = 11 - 3 = 8

The 3 sides are 12, 11, 8

with shortest side 8

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2 years ago

The ___ uses cash flows and the cost of raising capital as inputs to valuing a company's stock.

Vlad [161]

I think its camp. would be the answer

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4 years ago

I need help with this question

san4es73 [151]

Hello!

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I hope this helps!

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3 years ago

When f(n)=17, what is the value of n?

Scilla [17]

N is the same as 17, so it equals 17.

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3 years ago

Find the perimeter of the triangle to the nearest unit A(-2,3) B(2,1) C(-2,1)​

Find the perimeter of the triangle to the nearest unit A(-2,3) B(2,1) C(-2,1)