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.
The set of all possible events Ω
Ω = 24 ( 4*7 = 28 stick)
<span>set of events favorable A
A = 7 ( </span><span>sticks of green is 7)
</span><span>Probability P
P(A) = A/</span>Ω = 7/28 = 1/4 = 0,25
Answer A
<span>The first person has the ability to draw seven green sticks of twenty-four </span>
<em>Answer:</em>
Here is the answer ...... Check out it
<em>Step-by-step explanation:</em>
<em>An inconsistent system of equations is a system of equations with no solution. We can determine if our system is inconsistent in three ways: graphing, algebra, and logic. Graphs of an inconsistent system will have no points of intersection.</em>
<em> </em><em> </em><em>Hop</em><em>e</em><em> </em><em>it</em><em> </em><em>helps</em><em> ☺️</em><em /><em> </em><em> </em><em> </em><em> </em><em>CL</em><em>ICK</em><em> </em><em>on</em><em> </em><em>♥️</em>
Answer: A and B
Step-by-step explanation:
The shape is moving from right to left and down
Answer:
0.7941 miles
Step-by-step explanation:
I would think of this situation as a giant ruler.
The 18 trash cans can be thought of as endpoints on intervals in this giant ruler.
1--------2 --------3 --------4-----------5
If you notice the numbers that I wrote, there are five of them, but there are 4 intervals.
So we need to minus one from 18 to get 17 equal length intervals so that the trash cans are equally spaced.
Interval length = 13.5 miles / 17 intervals = 0.7941 miles
