The answer is 13 because a quarter is 25 cents so subtract 90 by 25 to get 65. Then you would divide 65 by 5 cents for the nickels and get 13.
You already have the base area, so to work out the volume, you just multiply 140 by 6.
Therefore, the answer is B. 840 ft³ :)
Answer:
- <u>The zero is x = 5, and it represents that the diver will enter the pool's surface 5 feet in front of the diving board.</u>
Explanation:
The function is f(x) = - x² - 5x + 50.
Where:
- f(x) is the vertical distance of a diver from a pool's surface, and
- x is the horizontal distance of a diver from the diving board.
A zero of f(x) represents a point where the diver is at the surface of the pool. There might be two possible zeros.
Solve the equation to determine the zeros:
- Multiply both sides by - 1: x² + 5x - 50
- Factor: (x + 10) (x - 5) = 0
- Use zero product property: x + 10 = 0 or x - 5 = 0
- From x + 10 = 0 you get x = - 10
- From x - 5 = 0 you get x = 5.
- The negative zero is not valid as it would be a point behind the diving board, so the meaningful zero is when x = 5, meaning that the diver will touch the surface of the pool at 5 feet in front of the diving board.
Volume of a Pentagonal Pyramid 5/6 <span>abh
Given,
a = 3 m
b = 5 m
h = 8 m
Volume of a pentagonal pyramid
<span>= </span><span><span>5/6 </span></span><span> 3 m </span><span>×</span><span> 5 m </span><span>×</span><span> 8 m</span>
= 100 m</span>³<span>
</span>
Solve for x:
x/3 + 2/5 = -4
x/3 + 2/5 - 2/5 = -4 - 2/5
x/3 = -22/5
x/3 * 3 = -22/5 * 3
x = -66/5 or -13 1/5
