What is the area of the figure below
2 answers:
Answer:
86 m²
Step-by-step explanation:
It can be convenient to think of the figure as an 8×12 rectangle with a 4×5 triangle cut off the corner.
The rectangle area is the product of its length and width:
(12 m)×(8 m) = 96 m²
The triangle area is half the product of its base and height:
(1/2)(4 m)(5 m) = 10 m²
Then the area of the figure is the difference of these:
96 m² -10 m² = 86 m²
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Answer:
C
Step-by-step explanation:
We know that the volume of a cylinder is given by the formula:
And we want to find the expression that represents the volume when the radius is (x+8) and the height is (2x+3).
So, let's substitute (x+8) for r and (2x+3) for h. This yields:
Let's expand.
Expand the square term first. We can use the perfect square trinomial pattern, which is:
Here, our a is x and b is 8. So:
Simplify:
Expand further. This time, we will use the distribute property. So:
Multiply:
Combine like terms:
Add:
Distribute the π:
So, our answer is C.
And we're done!