All categories

2 years ago

What is the area of the figure below

Mathematics

1 answer:

jek_recluse [69]2 years ago

3 0

Answer:

Option A

Step-by-step explanation:

Area of the composite figure = Area of ΔABH + Area of BCGH + Area of ΔDEF

Area of ΔABH = $\frac{1}{2}(\text{Base})(\text{Height})$

= $\frac{1}{2}(6)(8-5)$

= 9 in²

Area of the trapezoid = $\frac{1}{2}(CG+BH)(\text{Distance between these lines})$

= $\frac{1}{2}(6+4)(5)$

= 25 in²

Area of ΔDEF = $\frac{1}{2}(8)(6)$

= 24 in²

Therefore, area of the given figure = 9 + 25 + 24

= 58 in²

Option A will be the correct option.

You might be interested in

Jaiden has a prepaid phone plan plan (A) that charges 15 cents for each text sent and 10 cents per minute for calls. If jaiden h

lara [203]

Six divided by.15 is equal to 40

7 0

3 years ago

Find the value of tan(sin^-1(1/2))

suter [353]

If you know that $\sin\dfrac\pi3=\dfrac12$ , then you know right away

$\tan\left(\sin^{-1}\dfrac12\right)=\tan\dfrac\pi3=\dfrac1{\sqrt}3=\dfrac{\sqrt3}3$

###

Otherwise, you can derive the same result. Let $\theta=\sin^{-1}\dfrac12$ , so that $\sin\theta=\dfrac12$ . $\sin^{-1}$ is bounded, so we know $-\dfrac\pi2\le\theta\le\dfrac\pi2$ . For these values of $\theta$ , we always have $\cos\theta\ge0$ .

So, recalling the Pythagorean theorem, we find

$\cos^2\theta+\sin^2\theta=1\implies\cos\theta=\sqrt{1-\sin^2\theta}=\sqrt{1-\left(\dfrac12\right)^2}=\dfrac{\sqrt3}2$

Then

$\tan\theta=\tan\left(\sin^{-1}\dfrac12\right)=\dfrac{\sin\theta}{\cos\theta}=\dfrac{\frac12}{\frac{\sqrt3}2}=\dfrac1{\sqrt3}=\dfrac{\sqrt3}3$

as expected.

5 0

3 years ago

Read 2 more answers

Guy looks at his checking account balance and sees that it is less than −10 dollars.

alex41 [277]

Answer:

greater than

Step-by-step explanation:

5 0

3 years ago

Hey guys, I'm relearning some Algebra and was confused about this problem. In the equation, the problem was divided by 3. This m

spayn [35]

Answer and Step-by-step explanation:

The signs didn't really "swap". Instead, the whole function was divided by -1, or we could say the function was divided by -3. That would turn:

-18x² - 15x + 3 = 0

into

(-18 / -3)x² - (15 / -3)x + (3 / -3) = 0

6x² + 5x - 1 = 0

And that gives the "swapped signs".

4 0

3 years ago

Read 2 more answers

Which statement about the net is true?

Schach [20]

The net cannot be folded to form a pyramid because the faces that are not a base are not all triangles

If you fold this net up, you will get a triangular prism, NOT A PYRAMID.

A pyramid can have ANY polygon as its base, as long as all the other rest of the shapes are triangles.

Depending on the base, the number of triangles in a net of a pyramid must match the number of sides its particular base has.

For example, if you have a square pyramid turned into a net:
The base is a square (4 sides)
There should be 4 triangles on each side.

Because a pyramid is where all the triangles must meet up at a point.

Hope this helps!

3 0

3 years ago

What is the area of the figure below​

What is the area of the figure below