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3 years ago

PLEASE HELP,, MARKING BRAINLIEST!!! Solve for the value of x.

Mathematics

1 answer:

iris [78.8K]3 years ago

3 0

Answer:

$\huge\boxed{\sf x = 37}$

Step-by-step explanation:

We know that,

The sum of interior angles of a triangle is 180 degrees.

So,

2x + 4 + 2x - 9 + x = 180

5x - 5 = 180

Add 5 to both sides

5x = 180 + 5

5x = 185

Divide both sides by 5

x = 185 / 5

x = 37

$\rule[225]{225}{2}$

Hope this helped!

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Your friend's swimming pool is in the shape of a rectangular prism, with a length of 25 feet, a width of 8 feet, and a height of

RUDIKE [14]

Answer:

Part a) $V=1,000\ ft^{3}$

Part b) $h=5\ ft$

Part c) $=718\ gal$

Step-by-step explanation:

Part a) What is the volume of your friend's swimming pool?

we know that

The volume of a rectangular prism is equal to

$V=LWH$

substitute the values

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Part b) Your swimming pool is in the shape of a cylinder with a diameter of 16 feet and has the same volume as your friend's pool. What is the height of your pool?

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$V=\pi r^{2} h$

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substitute and solve for h

$1,000=\pi (8)^{2} h$

$h=1,000/(64 \pi)$

$h=1,000/(64*3.14)=5\ ft$

Part c) While you were on vacation, 6 inches of water evaporated from your pool. About how many gallons of water evaporated from your pool?

remember that

$1\ ft=12\ in$

$6\ in=6/12=0.5\ ft$

Find the volume of water for $h=5-0.5=4.5\ ft$

$V=(3.14)(8)^{2}(4.5)=904.32\ ft^{3}$

the volume of water evaporated is equal to

$1,000\ ft^{3}-904.32\ ft^{3}=95.68\ ft^{3}$

convert to gallons

remember that

$1\ ft^{3}=7.5\ gal$

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