Answer:
37.2
Step-by-step explanation:
when you turn the small triangle LMN to its right angle to cover the right angle of KLM, you find that they are similar triangles.
therefore the corresponding side lengths are at the same ratio.
LM/KM = MN/LN
LM = 24
MN = 13
we can get LN via Pythagoras of the small triangle
LN² + MN² = LM²
LN² + 13² = 24²
LN² = 24² - 13² = 576 - 169 = 407
LN = sqrt(407) = 20.174241
now back to our main problem
24/KM = 13/sqrt(407)
24×sqrt(407)/13 = KM = 37.2
Volume is a three-dimensional scalar quantity. The depth of the YMCA lap pool is 2 meters.
<h3>What is volume?</h3>
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given that the following details about the YMCA lap pool:
- The volume of the pool = 1472m³
- The length of the pool = 36.8m
- The width of the pool = 20 m
Since the pool is in the space of a right rectangular prism, therefore, the volume of the prism will be the product of length, width and depth. Therefore, the volume of the pool can be written as,
The volume of the pool = Length × width × depth
1472m³ = 36.8m × 20 m × depth of the pool
Depth of the pool = (1472m³ ) / (36.8m × 20m)
= 2 meter
Hence, the depth of the YMCA lap pool is 2 meters.
Learn more about Volume here:
brainly.com/question/13338592
#SPJ1
Given:
1/2 loaf of bread
3 friends
1/2 ÷ 3 ⇒ 1/2 * 1/3 = 1*1 / 2*3 = 1/6
In dividing fractions, get the reciprocal of the divisor and multiply it to the dividend
Looks correct. :)...........
