Answer:
-15
Step-by-step explanation:
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Answer:
Step-by-step explanation:
For the right triangular prism, the base is a right triangle with sides of lengths 3 in, 4 in, and 5 in. If the prism has a height of 6 inches
Answer:
Perimeter = 65.12 in
Area = 292.48 in^2
which agrees with the second answer choice
Step-by-step explanation:
The perimeter is going to be the addition of the sides of the rectangle external to the composite figure ( 12 + 16 + 12 = 40) PLUS the length of half of the circumference or radius 8 inches (which is pi * radius = 3.14 * 8 = 25.12 in)
Then the total perimeter is:
Perimeter = 40 in + 25.12 in = 65.12 in
The are is going to be the area of the rectangle (12 * 16 = 192 square inches) PLUS the area of the semicircle of radius 8 in (pi *radius^2 /2 = 100.48 square inches).
Therefore the total area is:
Area = 192 + 100.48 = 292.48 in^2
Answer:
58 yards^2
Step-by-step explanation:
You want to break this irregular shape into simple shapes. You can make a rectangle with the sides of 4 and 6 yards, whose are is 24 yards^2.
Then you can do the rectangle on the opposite side, whose sides are 4 and 6 yards, whose are is 24 yards^2 again.
Then the final rectangle has the sides of 5 and 2 yards, whose area is 10 yards^2.
If you add it all up, you will get 58 yards^2.
We need to find out how much 17 percent of 2,500 is, and then subtract that amount by 2,500. We can use proportions to use this. We can set up a fraction with x/2500 and another fraction with 17/100. Then, we need to cross multiply. This gives us 42,500. Next, we can divide by 100. This gives us 425. We know that they will save $425 if they decrease their energy use by 17%. We now need to subtract $425 from $2,500. This gives us $2,075. If the company is successful in decreasing their energy use by 17%, their bill would be $2,075.
