Answer:
Step-by-step explanation:
h = 4 m
d = 12 m
r = 12/2 = 6 m
Volume of cylinder = πr²h
= 3.14 * 6 * 6 * 4
= 452.16 m³
Answer:
.........................
Step-by-step explanation:
Answer: The salon charges $16 for a manicure and $25 for a pedicure.
Step-by-step explanation:
Let x represent the amount charged by the salon for a manicure.
Let y represent the amount charged by the salon for a pedicure.
Over the weekend, they performed 49 manicures and 16 pedicures, bringing in a total of $1,184 in receipts. It means that
49x + 16y = 1184- - - - - - - - - - 1
So far this week, they have administered 31 manicures and 33 pedicures, with receipts totalling $1,321. It means that
31x + 33y = 1321- - - - - - - - - - 2
Multiplying equation 1 by 31 and equation 2 by 49, it becomes
1519x + 496y = 36704
1519x + 1617y = 64729
Subtracting, it becomes
- 1121y = - 28025
y = - 28025/- 1121
y = $25
Substituting y = 25 into equation 1, it becomes
49x + 16 × 25 = 1184
49x + 400 = 1184
49x = 1184 - 400
49x = 784
x = 784/49
x = $16
There are 6 faces to the prism:
2 each of (Length x Width): 2(4 x 4) = 2(16) = 32 m²
2 each of (Length x Heighth): 2(4 x 8) = 2(32) = 64 m²
2 each of (Width x Heighth): 2(4 x 8) = 2(32) = 64 m²
The sum of the faces is the Surface Area (S.A.)
32 m² + 64 m² + 64 m² = S.A.
160 m² = S.A.
Answer:
500
Step-by-step explanation:
