Answer: Steps 4 and 5
Step-by-step explanation:
Answer:
First triangle
Step-by-step explanation:
First triangle is the obtuse triangle.
we have

Step 1
Eliminate the parenthesis

Step 2
Group terms that contain the same variable

Step 3
Combine like terms

therefore
the answer is

In order to answer this, it would be useful to calculate the area of the cardboard and the circles. We do as follows:
Total area of cardboard = <span> 8.0 in. x 11.0 in = 88 in^2
Area of one circle = pi(r^2) = pi(0.5)^2 = 0.7854 in^2
Number of full circles = 88 / 0.7854 = 112.0451
Therefore, there will be 112 number of full circles. The percentage of waste is equal to:
% waste = (88 - 0.7854(112) / 88) x 100= 0.04%</span>
9514 1404 393
Answer:
309.33π yd³
Step-by-step explanation:
We can subtract the volume of the sphere from the volume of the cone, but we'd like to point out that said difference is irrelevant to the problem. The sphere does not fit into the cone. We cannot tell exactly how the composite figure is constructed.
__
Cone volume is ...
V = 1/3πr²h
V = 1/3π(10 yd)²(23 yd) = 2300π/3 yd³
Sphere volume is ...
V = 4/3πr³ = 4/3π(7 yd)³ = 1372π/3 yd³
The difference between the cone volume and the sphere volume is ...
(2300 -1372)π/3 yd³ ≈ 309.33π yd³