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2 years ago

The YMCA lap pool is a right rectangular prism

Mathematics

2 answers:

serg [7]2 years ago

7 0

Answer:

<u>2 Meters deep.</u>

Step-by-step explanation:

If you multiply 36.8 m by 20m, you would get the base area of 736 m^2. If you divide that by 1472, you would get 2 meters deep.

Rasek [7]2 years ago

6 0

To find the depth (aka "height") you must use the volume formula

Volume = length x width x height

In this case:

The amount of water the pool can contain will equal to the volume

Volume = 1,472 m

length = 36.8 m

width = 20 m

height = unknown (let's make this h)

^^^Plug these numbers into the formula given above

1,472 = 36.8 x 20 x h

1,472 = 736h

Isolate h by dividing 736 to both sides

1,472/736 = 736h/736

This pool is 2 meters deep

Hope this helped!

~Just a girl in love with Shawn Mendes

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Solve ABC <br>c=10, B=35°, C=65%

NISA [10]

Answer:

Part 1) The measure of angle A is $A=80\°$

Part 2) The length side of a is equal to $a=10.9\ units$

Part 3) The length side of b is equal to $b=6.3\ units$

Step-by-step explanation:

step 1

Find the measure of angle A

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

$A+B+C=180\°$

substitute the given values

$A+35\°+65\°=180\°$

$A+100\°=180\°$

$A=180\°-100\°=80\°$

step 2

Find the length of side a

Applying the law of sines

$\frac{a}{sin(A)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{a}{sin(80\°)}=\frac{10}{sin(65\°)}$

$a=\frac{10}{sin(65\°)}(sin(80\°))$

$a=10.9\ units$

step 3

Find the length of side b

Applying the law of sines

$\frac{b}{sin(B)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{b}{sin(35\°)}=\frac{10}{sin(65\°)}$

$b=\frac{10}{sin(65\°)}(sin(35\°))$

$b=6.3\ units$

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