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3 years ago

Recall that the volume of a sphere is given by the formula V = 4/3pi to the 3rd

Mathematics

1 answer:

Kisachek [45]3 years ago

4 0

9514 1404 393

Answer:

1. (256/3)π ft³

2. 33.49 ft³

Step-by-step explanation:

1. Put 4 ft into the formula where r is, then simplify.

V = (4/3)π(4 ft)³ = (256/3)π ft³

2. The radius is half the diameter, so is 2 ft. Put that in the formula, along with the value for π, and do the arithmetic.

V = (4/3)(3.14)(2 ft)³ ≈ 33.49 ft³

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Which of the following expressions are equivalent to \left(9\dfrac{7}{8} + 2\dfrac{4}{5}\right)-\dfrac{1}{2}(9 87 +2 54 )− 21

lora16 [44]

Answer:

$12\dfrac{7}{40}$

Step-by-step explanation:

The given expression is

$\left(9\dfrac{7}{8} + 2\dfrac{4}{5}\right)-\dfrac{1}{2}$

We need to find the simplified form of the given expression.

It can be rewritten as

$\left(9+\dfrac{7}{8} + 2+\dfrac{4}{5}\right)-\dfrac{1}{2}$

Combine integers and fractions separately.

$(9+2)+(\dfrac{7}{8}+\dfrac{4}{5}-\dfrac{1}{2})$

Taking LCM we get

$11+\dfrac{35+32-20}{40}$

$11+\dfrac{47}{40}$

In can be written as

$11+\dfrac{40+7}{40}$

$11+1+\dfrac{7}{40}$

$12+\dfrac{7}{40}$

$12\dfrac{7}{40}$

Therefore, the expression $12\dfrac{7}{40}$ is equivalent to the given expression.

5 0

3 years ago

!!!!!!! Why isn't A the correct answer? I am having trouble to reason why A is wrong so please help if can!

docker41 [41]

Answer:

d. x = -3

Step-by-step explanation:

<u /> $\sqrt{(x + 3)}$ ÷ (x+8)(x-2) = 0

f(x) / g(x) = 0

Variable x cannot be equal to any of the values −8,2 since division by zero is not defined. Multiply both sides of the equation by (x−2)(x+8).

<u /> $\sqrt{(x + 3)}$ = 0 ------ square both sides

x + 3 = 0

solve for x:

x = -3

4 0

3 years ago

Please help me with this problem TwT. Triangles.

Yanka [14]

Answer:

X = 80°

Step-by-step explanation:

it's an isosceles triangle. you can tell because of the two sides being 14 and the bottom being 18

this means the two bottom angles are the same so the other would also be 50°

Since a triangle has 180° between the three sides, you would subtract 180-100 and get the last angle

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2 years ago

Suppose you have 8 coins and you have at least one each of a quarter, a dime, and a penny. What is the least amount of money you

Black_prince [1.1K]

41 cents one quarter one dime six pennies

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3 years ago

What is the slope of the line shown below?

lina2011 [118]

Answer:

m=4

Step-by-step explanation:

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3 years ago

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