Answer:
a. 61.92 in²
b. 21.396 ≈ 21.4%
c. $4.71
Step-by-step explanation:
a. Amount of waste = area of rectangular piece of stock - area of two identical circles cut out
Area of rectangular piece of stock = 24 in × 12 in = 288 in²
Area of the two circles = 2(πr²)
Use 3.14 as π
radius = ½*12 = 6
Area of two circles = 2(3.14*6²) = 226.08 in²
Amount of waste = 288 - 226.08 = 61.92 in²
b. % of the original stock wasted = amount of waste ÷ original stock × 100
= 61.92/288 × 100 = 6,162/288 = 21.396 ≈ 21.4%
c. 288 in² of the piece of stock costs $12.00,
Each cut-out circle of 113.04 in² (226.08/2) will cost = (12*113.04)/288
= 1,356.48/288 = $4.71.
Answer:
x^7 + 9x^2 + x + 8
Step-by-step explanation:
Combine like terms
Answer:
a) The probability is 1/5
bi) The probability each ball is even will be 2/5
bii) The probability the sum of the numbers on the ball is not more than 10 is 16/25
(that's what I think it is)
Answer:
-12
Step-by-step explanation:
8x - 2(6 - x)
Substitute 0 for each x
8*0 - 2(6 - 0)
Solve.
0 - 2*6
0 - 12
-12
Answer:
lcm for cuberoot
that is 2*2*2*5*5*5*3*3*3
make pairs of three common numbers and write them as one.
2*5*3=30
ans =30
check 30*30*30=27000
cube
multiply 27000 three times with itself
27000*27000*27000
=19683000000000.0
