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2 years ago

What is the area of the figure?

Mathematics

1 answer:

morpeh [17]2 years ago

8 0

Answer:

80 square feet

Step-by-step explanation:

You can split it into a rectangle and a triangle. The area of the rectangle would be 2 * 16 = 32 square feet.

Next, you need to find the height of the triangle. To do this, you can split the triangle into two right triangles and use the pythagorean theorem to find the height. The dimensions of one of the right triangle is 8 for one of the legs and 10 for the hypotenuse. Using the pythagorean theorem, 8^2 + b^2 = 10^2, which is 64 + b^2 = 100, so b^2 = 36 and b = 6. This means that the height is 6. Now, you find the area of the triangle and you get 16 * 6 / 2 = 48.

Adding the area of the rectangle and the triangle: 32 + 48 = 80

Not sure why that's not an answer choice, I'm fairly confident it's right.

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ladessa [460]

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3 years ago

What is 245 and 7/50 in decimal form

kondaur [170]

Answer:

245=2.45

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Step-by-step explanation:

divide by 100

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3 years ago

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Solve the systems of equations through elimination, show work 3+2x-y=0 -3-7y=10x

Wittaler [7]

Answer: x=-1 y=1

Step-by-step explanation:

solve y in 3+2x-y=0

y=3+2x

sub y=3+2x into -3 -7y=10x

-14x- 24= 10x

solve x in -14x-24=10x

x= -1

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2 years ago

6. A pizza's original price is $11. It is on sale for $9.25. What percent off is it?

wolverine [178]

Solution:

We know that:

$Original \ price = \$11$

$Sale \ price = \$9.25$

$\frac{9.25}{11} + \frac{1.75}{11} =100\%$

Simplify the equation to find the percent off:

$\frac{9.25}{11} + \frac{1.75}{11} =100\%$

$84\% + \bold{16\%} = 100\% \space\ \space\ \space\ \ \ \ \ [Rounded]$

This means that the original price has decreased about 16%.

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2 years ago

One leg of a right triangle measures 6 inches. The remaining leg measures 6√3 inches. What is the measure of the angle opposite

Simora [160]

30°
Here's why:
Using the well-known Pythagorian theorem we can reckon how long the hypotenuse is:
c^2=6^2+36*3 -> c=12
Knowing that sin(a)=a/c=6/12=0.5 the measure of the angle in degrees is 30°
Hope could help :)

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3 years ago

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