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2 years ago

Who is correct Emmitt or Emily

Mathematics

1 answer:

lianna [129]2 years ago

8 0

Answer:

I think Emily is

Step-by-step explanation:

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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

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

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

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

we have

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

$r=16/2=8\ ft$ ----> the radius is half the diameter

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

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

$95.68\ ft^{3}=95.68*7.5=718\ gal$

5 0

2 years ago

Find the product of (2x + 5y)(2x − 5y).

Nana76 [90]

The final answer for this is 4x^2-25y^2.

7 0

3 years ago

Read 2 more answers

Which expression represents the area of the garden in square feet?

Kisachek [45]

Answer:

C. 42x² - 3x - 9

Step-by-step explanation:

Area:

(7x + 3) (6x - 3)

7x(6x - 3) + 3(6x - 3)

42x² - 21x + 18x - 9

42x² - 3x - 9

8 0

2 years ago

What values for q (0 ≤q≤2π)<br> satisfy the equation?<br><br> 22√sin q + 2 = 0

Vesna [10]

Answer:
$\frac{3 \pi }{4}$ , $\frac{7 \pi }{4}$

Explanation:
2√2 sin(q) + 2 = 0
2√2 sin(q) = -2
sin(q) = $\frac{-2}{2 \sqrt{2} }$
sin(q) = $\frac{- \sqrt{2} }{2}$

Now, we know that:
sin (45) = $\frac{ \sqrt{2} }{2}$

From the ASTC rule, we know that the sine function is negative in the third and fourth quadrant.
This means that:
either q = 90 + 45 = 135° which is equivalent to $\frac{3 \pi }{4}$
or q = 270 + 45 = 315° which is equivalent to $\frac{7 \pi }{4}$

Hope this helps :)

6 0

3 years ago

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Lots of points plzzz help. What are m

lara31 [8.8K]

Answer:

???

Step-by-step explanation:

6 0

2 years ago