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.
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The two options that are the possible first step to begin to simplify the equation are (c) Multiply both sides of the equation by –2. and (d). Distribute Negative one-half over (x + 4).
<h3>How to determine which two options are the possible first step to begin to simplify the equation?</h3>
The equation is given as:
Negative one-half (x + 4) = 6
Rewrite the above equation properly
So, we have
-1/2(x + 4) = 6
A possible first step is to multiply both sides of the equation -1/2(x + 4) = 6 by -2
So, we have
x + 4 = -12
Another possible first step is to distribute the expression -1/2(x + 4) in the equation
So, we have
-1/2x - 1/2 * 4 = 6
Hence, the two options that are the possible first step to begin to simplify the equation are (c) Multiply both sides of the equation by –2. and (d). Distribute Negative one-half over (x + 4).
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Answer:
1/6
Step-by-step explanation:
first of all find the LCD of 3 and 2. The LCD would be 6.
2/3(2/2) - 1/2(3/3)
4/6 and 3/6
then you will subtract 4 and 3 and you end up with 1/6
Answer:
(- 5, 1 )
Step-by-step explanation:
Given the translation rule
(x, y ) → (x - 2, y - 6 )
This means subtract 2 from the original x- coordinate and subtract 6 from the original y- coordinate, that is
(- 3, 7 ) → (- 3 - 2, 7 - 6 ) → (- 5, 1 )
