Answer:
4.013 units
Step-by-step explanation:
We know that the volume of a cone is given by the following equation:
v = pi / 3 * r ^ 2 * h
we need to know the height, therefore we solve for h:
h = 3 * v / (pi * r ^ 2)
replacing v = 105 and r = 5
h = 3 * 105 / (3.14 * 5 ^ 2)
h = 4.013
Which means that the height measures 4.013 units
Add all of the students who like the ice creams and subtract from 147 :)
Answer: $7.6502
Step-by-step explanation:
Grape cost $1.19 per pound. 3.16 pounds are bought. The total amount paid for grape will be:
= $1.19 × 3.16
= $3.7604
Peaches cost $1.29 per pound. 1.35 pounds are bought. The total amount paid for peaches will be:
= $1.29 × 1.35
= $1.7415
Peers cost $0.99 per pound. 2.17 pounds are bought. The total amount paid for pears will be:
= $0.99 × 2.17
= $2.1483
Total bill paid will be:
= $3.7604 + $1.7415 + $2.1483
= $7.6502
Step-by-step explanation:
1.) Plug in one of the points.
y = 8x + b
6 = 8(4) + b
2.) Solve for b (or [?])
32 cancels out on the right side.
Subtract 32 from 6, which is -26
3.) -26 = b
4.) Check with other point:
-2 = 8(3) + b
-2 = 24 + b
Cancel out 24 on the right side: 24-24 = 0
-2 - 24 = -26
-26 = b
A
Working:
Tan(angle)=opposite/adjacent
Tan60 = x/7root3
x=7root3 x Tan60
Enter in calculator
x=21