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Ugo [173]
3 years ago
10

There is a cylinder with a height of 8 units and a volume of 72 cubic units. What is the radius of the cylinder?

Mathematics
1 answer:
svp [43]3 years ago
7 0

Answer:

Radius of the cylinder = 1.69 units

Step-by-step explanation:

Volume of a cylinder is given by the expression,

Volume = Area of the circular base × Height of the cylinder

Area of the circular base = πr²

Here, r = Radius of the circular base

Volume of the cylinder = πr²h

By substituting the values given in the question,

72 = π(r)²8

r² = \frac{9}{\pi }

r² = 2.865

r = 1.692

r = 1.69 units

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John spends 22% of his monthly budget on his car payment, which is $400. Which proportion can be used to calculate John’s total
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Answer:

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5 days ago — John spends 22% of his monthly budget on his car payment, which is $400. Which proportion can be used to calculate John's total monthly

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3 years ago
The temperature dropped 12F in 8 hours .if the final temperature was -7,what was the starting temperature
bekas [8.4K]
Just add 12 to -7, -7 -6 -5 -4 -3 -2 -1 0 1  2  3  4  5  6  7  8  9  10  11  12
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3 years ago
If f(x) = x2 - 1 and g(x) = 2x - 3, what is the domain of (fog)(x)?
ladessa [460]

Answer:

domain will be ( -∞, ∞)

Step-by-step explanation:

The given functions are f(x) = x² - 1 and g(x) = 2x - 3

We have to find domain of (fog)(x)

We will find the function (fg)(x) first.

(fog)(x) = f[g(x)]

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        = 4x² - 12x + 8

       = 4 (x² - 3x + 2)

The given function is defined for all values of x.

Therefore, domain will be ( -∞, ∞)

<u>brainly.com/question/2458431</u>

4 0
2 years ago
The first side of a triangle is 3 inches shorter than the second side, and 2 inches longer than the third side. How long is each
ziro4ka [17]

Answer:

the length of the first side of the triangle is \frac{28}{3}\ in

the length of the second side of the triangle is \frac{37}{3}\ in

the length of the third side of the triangle is \frac{19}{3}\ in

Step-by-step explanation:

Let

x-----> the length of the first side of a triangle

y----> the length of the second side of a triangle

z---> the length of the third side of a triangle

we know that

x=y-3

y=x+3 -----> equation A

x=z+3

z=x-3  -----> equation B

The perimeter of the triangle is equal to

P=x+y+z

P=28\ in

so

28=x+y+z -----> equation C

substitute equation A and equation B in equation C

28=x+(x+3)+(x-3)

solve for x

28=3x

x=\frac{28}{3}\ in

Find the value of each side

the first side of a triangle is x

x=\frac{28}{3}\ in

the second side of a triangle is y

y=\frac{28}{3}+3=\frac{37}{3}\ in

the third side of a triangle is z

z=\frac{28}{3}-3=\frac{19}{3}\ in

7 0
3 years ago
1) Simplify 5m - 13n - n + 4m.
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Answer is given above

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3 years ago
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