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Anvisha [2.4K]
3 years ago
6

A rectangular sandbox is surrounded on all sides by a strip of grass that is feet wide on all sides. The length of the sandbox i

s 4 feet more than the width, and the total area for the sandbox and the grass is 189 square feet. Find the dimensions of the sandbox.
Mathematics
1 answer:
QveST [7]3 years ago
4 0

Answer:

  • 13.9 ft, 9.9 ft

Step-by-step explanation:

Sandbox has dimensions x and y.

<u>We have:</u>

  • x = y + 4
  • (x + 2)(y + 2) = 189, (one foot grass from both sides adds 2 ft)

<u>Substitute x and solve for y:</u>

  • (y + 4 + 2)(y + 2) = 189
  • (y + 6)(y + 2) = 189
  • y² + 8y + 12 = 189
  • y² + 8y + 16 = 193
  • (y + 4)² = 193
  • y + 4 = √193 (taken positive root only as distance can't be negative)
  • y + 4 ≈ 13.9
  • y = 9.9

<u>Find x:</u>

  • x = 9.9 + 4 = 13.9
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4 years ago
14. What is the rate if the distance traveled is 360 miles for 6 hours?
Mekhanik [1.2K]

Answer:

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3 years ago
A shipping company is loading cube shaped crates into a larger cube shaped container the smaller cubes have side lengths 21/2 fe
zheka24 [161]

Answer:

64 crates

Step-by-step explanation:

Smaller Cube Side Length = 2 1/2 feet, or, 2.5 feet

Larger Container (Cube) Side Length = 10 feet

We find volume of larger container and find volume of small crates. We divide the large volume by volume of each crate. This will give us number of crates we can fit.

Volume of Cube = x^3

Where x is the side length of the cube

Now,

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4 years ago
The value of y varies inversely as the cube of x and y=1 when x=6. Find the value of y when x =2.
ch4aika [34]

Answer:

y=27 when x=2

Step-by-step explanation:

y varies inversely as the cube of x

y=k(1/X^3)

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y=k(1/X^3)

1=k(1/6^3)

1=k(1/216)

k=1÷1/216

K=1×216/1

k=216

find y when x=2

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y=216(1/2^3)

y=216(1/8)

y=216/8

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