Mathematics, 03.03.2020 00:51 priceb17

What is the area of this figure?

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inÂ²

A parallelogram with a right triangle created inside it with a short leg length of 16 inches and a long leg length of 20 inches. A triangle attached to the top of the parallelogram has a short leg measurement of 8 inches.

What is the area of this figure? Enter your answer in the box. inÂ² A parallelogram with a right tri

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Answer from: andrejr0330jr

Check the picture below.

so the area of that figure is simply the area of that triangle and parallelogram added up.

$\bf \stackrel{\textit{triangle's area}}{\cfrac{1}{2}(20)(8)}~~ + ~~\stackrel{\textit{parallelogram's area}}{(20)(16)}\implies 80+320\implies 400$

What is the area of this figure? Enter your answer in the box. inÂ² A parallelogram with a right tri

Answer from: oopfloop2

The area of the figure is 400 square inches

Step-by-step explanation: Please refer to the diagram attached.

The diagram in the question shows a parallelogram ABCD attached to a right angled triangle EBC.

In order to compute the total area of the entire figure, the area of both detachments would have to be calculated separately and then summed up.

To calculate the area of a parallelogram ABCD, the formula is

Area = b x h

where b = base and h = perpendicular height.

The base is 20 inches while the height is 16 inches.

Therefore,

Area = 20 x 16

Area = 320 in^2

Next we calculate the area of triangle EBC. Area of a triangle is given as

Area = 1/2 base x height

Where the base = 20 (line AD is equal to line BC = 20) and height = 8. Therefore,

Area = 1/2 (20) x 8

Area = 10 x 8

Area = 80 in^2

Having calculated the area of the two parts of the entire figure, the area of the entire figure is given as

Area of parallelogram ABCD + Area of triangle EBC

We now have 320 + 80 = 400

Hence, area of the figure = 400 square inches

Answer from: Quest

b. the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

f(-2) = -3f(1) = 6 . . . estimated from f(x) = (x+2)^2-3, which matches points on the graph (-1,-2) and (0, 1)

so the change in y-value for function f is (6 )) = 9.

the table tells us

g(-2) = 1g(1) = 31

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

Answer from: Quest

step-by-step explanation:

Due in 30 minutes will give brainiest which statement fills in the blank #4 choices: segment bc &a

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