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3 years ago

The volume of the box is 60 cubic inches. What are the length, width, and height of the box?

Mathematics

1 answer:

Serggg [28]3 years ago

8 0

Answer: The volume is the product of the Length, Width, and Height: V = LWH.

Step-by-step explanation: We are given V = 240 in.3, and H = 6 in., and L = W + 3 in.

Thus 240 in.3 = (W+3 in.)*W*(6 in.) so W(W+3 in.) = 240 in.3 / 6 in. = 40 in.2

Using the distributive property and moving the constant to the left gives:

W2 + (3 in.)W - 40 in.2 = 0

This factors:

(W + 8 in.)(W - 5 in.) = 0

The first factor gives W = -8 in. which is nonsense because it is negative.

The second factor gives a valid answer of W = 5 in.

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Mila [183]

Answer:

32h^7

Step-by-step explanation:

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3 years ago

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3 years ago

An artist creates a cone-shaped sculpture for an art exhibit. If the sculpture is 55 feet tall and has a base with a circumfere

yulyashka [42]

Answer:

4164.69504π

Step-by-step explanation:

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3 years ago

A scuba diver returning to the surface swims to move up quickly, then waits a few meters below the surface to avoid pressure iss

Juliette [100K]

Given:

The function f represents the diver's distance from sea level over time, in seconds.

$f(x)=\begin{cases}3x+1 & \text{ if } -9$

To find:

The correct statement for the domain.

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Domain is the set of input values for which the function is defined.

Here, x values are the input values and they represent time intervals on which the function is defined

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$Domain=(-9,7)$

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3 years ago

Loretta and her family are going on vacation. Their destination is 610 miles from their home. Loretta is going to share some of

alexandr402 [8]

Loretta:
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Distance traveled = 55*4 = 220 miles

Dad:
Average driving speed = 65 mph
Let x = hours driven
Distance traveled = 65x miles

The length of the trip is 610 miles, therefore
65x + 220 = 610
65x = 390
x = 6 hours

Answer: Loretta's dad drove for 6 hours.

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3 years ago