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.
Move the x's to the same side
2x + x = 8 +6
then simplify
3x = 14
make x stand on its own
(3x)/3 = 14/3
the 3's on the x side cancel
x = 14/3
Answer:
2x + 4 = 7
Step-by-step explanation:
If X is the unknown number, then twice that would be 2x, and you add 4, wich would be equal to 7: 2x + 4 = 7
Answer:
its 10...
Step-by-step explanation:
Answer:
n = 13
Step-by-step explanation:
1. (9n-8) and (6n-7) combined equal 180 degrees, and we can translate that into an equation and then solve it:
2. (Solving)
Step 1: Simplify both sides of the equation.
Step 2: Add 15 to both sides.
Step 3: Divide both sides by 15.
Therefore, n = 13.