Answer:
Step-by-step explanation:
f(x)=(x²+20x+100) -3 because : 97 = 100 - 3
f(x) = (x+10)² -3 ....vertex form
Answer:
314 ft²
Step-by-step explanation:
Data provided in the question:
Depth (height) of the pool =
of its radius
let the radius be 'r' ft
thus,
Depth (height) of the pool, h =
ft
Volume of the pool = 1570 ft³
also,
Volume of cylinder = πr²h
thus,
1570 ft³ = πr²h
or
1570 ft³ = 
or
3140 = 3.14 × r³ [ π = 3.14 ]
or
r³ = 1000 ft³
or
r = 10 ft
Thus,
Area of the bottom surface = πr²
= 3.14 × 10²
= 314 ft²
Sorry man, don’t know it, hopefully you get someone who knows
Answer:
C) 1/6
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
We have 8 + 10 + 4 + 2 = 24 coins
Of those, 4 are nickels. So

The correct option is given by option C.
Recall that the volume of a regular prism is given by the area of the base times the height.
Given that the base of the prism is a regular pentagon with an apothem of 2.8 centimeters.
The pentagon consist of 5 isosceles triangles with the apothem as the height and the side of the pentagon as the base.
Recall that the are of a triangle is given by 1/2 base times height.
Thus the area of of the pentagon base of the prism is given by

Therefore, the volume of the prism is given by