Error: they divided both sides by three.
correct: they should’ve first subtracted both sides by two then divided both sides by three.
Answer:
<em>$2,000</em>
<em></em>
Step-by-step explanation:
Let the amount of money they want to raise be $20,000.
We are going to look for 10% of $20000 as shown:
10% of 20,000 = 10/100 * 20,000
= 0.1 * 20,000
= 2,000
<em>Hence the 10% of the money they want to raise is $2,000</em>
<em></em>
<em>Note the the money the amount of money they want to raise was assumed.</em>
Answer:
arc EFC = 237°
Step-by-step explanation:
arc DEF = 140°
arc EF = 140° - 83° = 57°
arc DC = arc FG
arc DC = (360° - 140° - 140°)/2 = 40°
arc EFC = arc CG + arc FG = arc EF = 140° + 40° + 57° = 237°
Answer:
12π in³
Step-by-step explanation:
The right triangle formed by the radius (r), height (x), and slant height (y) is a 3-4-5 right triangle, with the dimension 4 inches being the perpendicular height from the base to the apex. That is, the Pythagorean theorem tells us ...
r² + x² = y²
x = √(y² -r²) = √(25 -9) = 4 . . . inches
The formula for the volume of a cone is ...
V = (1/3)πr²h . . . . . . . . h is the height, what you call x
Your cone has r = 3 in, h = 4 in. Filling in these numbers and simplifying, we get ...
V = (1/3)π(3 in)²(4 in) = 12π in³
The volume of the cone is 12π cubic inches.
