I believe there is a 1/20 chance that Mrs. Galvan will pick a black pin. Since there are 20 pens, each pen has an equal chance of getting picked. For example, you have 2 pens and one of them is blue. The chance of me getting the blue pen is 1/2 or a 50% chance. So your answer will be 1/20 chance.
B + 24 + 7b + 4b = 180
12b + 24 = 180
12b = 156
b = 13
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.
Answer:
3 units
Step-by-step explanation:
Translating a segment does not change its length.
It is just moving the segment.
