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2 years ago

Solve the following equation algebraically:

Mathematics

1 answer:

Genrish500 [490]2 years ago

8 0

Answer:

the correct option is b. +5

Step-by-step explanation:

here's the solution : -

=》

$4 {x}^{2} = 100$

=》

${x}^{2} = \frac{100}{4}$

=》

${x}^{2} = 25$

=》

$x = \sqrt{25}$

=》

$x = 5$

hence, value of x = 5

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Read 2 more answers

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

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substitute the values

$V=(25)(8)(5)=1,000\ ft^{3}$

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?

we know that

The volume of a cylinder is equal to

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we have

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

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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

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

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