Answer:
It is a right triangle.
So, using Pythagorean theorem: OS² = OR² - RS²
OR = r (radius) + 8
OS = r
RS = 16
=> r² = (r+8)² - 16²
r² = r² + 16r + 64 - 256
r² = r² + 16r - 192
16r = 192
r = 192 / 16 = 12cm²
a) 12 cm²
b) 12 + 8 = 20 cm²
Answer:
49
Step-by-step explanation:
The cost function is the sum of the costs as a function of the number of bins made.
C(x) = 4x + 18424
The profit function is the difference between the revenue and the cost functions.
P(x) = R(x) - C(x)
P(x) = -2x^2 + 478x - (4x + 18424)
P(x) = -2x^2 + 474x - 18424
The smallest break-even point is the smallest value of x at which profit is zero. Zero profit means there is no gain and no loss.
P(x) = -2x^2 + 474x - 18424 = 0
x^2 - 237x + 9212 = 0
9212 = 2^2 * 7^2 * 47
(x - 188)(x - 49) = 0
x - 188 = 0 or x - 49 = 0
x = 188 or x = 49
Answer: 49
Answer:
Yes.
Step-by-step explanation:
2/3 and 8/12 are equal because of a multiplying factor. To get from 2 to 8, you'd have to multiply by 4. And to get from 3 to 12 you would have to multiply by 4 as well. So that means they are equal because both the numerator and denominator are multiplied by 4.
9514 1404 393
Answer:
C. 60%
Step-by-step explanation:
Of the 5 bowls listed, bowls 2 and 4 are out of the allowed tolerance range. That leaves 3 of the 5 bowls that can be used.
3/5 × 100% = 60% . . . fraction of bowls that can be included
Answer:
20
Step-by-step explanation:
