Answer:
The volume of the prism is 
Step-by-step explanation:
we know that
The volume of the prism is equal to

where
B is the area of the triangular base
L is the length of the prism
we have

<em>Find the area of the base B</em>
The area of a equilateral triangle is equal to


substitute

Answer:
2p+2q
Step-by-step explanation:
Obtuse, accute, obtuse, acute, A.
Answer:
90 hours
Step-by-step explanation:
The rate at which water enters the pool is
75 gallons
-------------------
1 hour
This is equivalent to
1 hour per 75 gallons, leading to:
1 hour
-------------------- * 6,750 gallons = 90 hours
75 gallons
Answer:
The equation of the function: y = mx + b
- m = slope = (y₂ - y₁)/(x₂ - x₁) = [5 - (-3)]/(4 - 0) = (5 + 3)/4 = 8/4 = 2
- b = y-intercept = -3
Therefore, the equation is <u>f(x) = 2x - 3</u>
When x = 0, f(x) = 2(0) - 3 = <u>-3</u>
When x increases by 1, f(x) increases by <u>2</u> (slope = the rate of change)