Answer:
-22y+27
Step-by-step explanation:
(4y-9)(2y-3)
<u>Distribute:</u>
8y-12y-18y+27
<u>Combine like terms:</u>
8y-12y-18y=-22y
-22y+27
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.
25 percent of people had pasta.
First add 450 and 150 (which equals 600)
Next divide 600 by 150 (which equals 4)
Which means 150 is a fourth of six hundred, and a fourth is 25 percent.
Which leads to my answer of 25 percent
Recall to always convert the mixed fractions to "improper" fractions first,
The answer is an equilateral triangle