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.
Here the my solutions,hope you understand
The quadrants the point (4.-8) is in is the fourth quadrants
Answer:
L = 29.6 cm
Step-by-step explanation:
Let Length be L and Breadth be B
<u><em>Condition 1:</em></u>
Where Perimeter = 296 cm
=> 2L + 2B = 296
=> 2(L+B) = 296
<em>Dividing both sides by 2</em>
=> L + B = 148 ------------------(1)
<u><em>Condition 2:</em></u>
=> B = 
-------------------------(2)
Putting Equation 2 in 1
=> L + = 148
Multiplying both sides by 3
=> 3L + 2L = 148
=> 5L = 148
=> L = 148/5
=> L = 29.6 cm
