Find the area of the figure

Mathematics

1 answer:

Liula [17]3 years ago

6 0

Just multiply Base x Height and you'll get your answer

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Incline mats, or triangle mats, are offered with different levels of incline to help gymnasts learn basic moves. As the name may

nata0808 [166]

Answer:

The length of the mat is 30 inches.

Step-by-step explanation:

Let H be the hypotenuse of the incline mat, L its length and h its height.

It is given that H = L + 4 and h = L - 14. Now, using Pythagoras' theorem for right-angled triangles, H² = L² + h²

(L + 4)² = L² + (L - 14)²

Expanding, we have

L² + 8L + 16 = L² + L² -28L + 196

collecting all the terms to the right side, we have

L² + L² -28L + 196 - L² - 8L - 16 = 0

L² - 36L + 180 = 0

Using the quadratic formula, L =

L $\frac{-(-36) +/- \sqrt{(-36)^{2} -4X1X180} )}{2X1} = \frac{36 +/- \sqrt{1296 - 720} }{2} \\= \frac{36 +/- \sqrt{576} }{2} \\= \frac{36 +/- 24 )}{2}\\=\frac{36 + 24}{2} or \frac{36 - 24}{2} \\=\frac{60}{2} or \frac{12}{2} \\= 30 or 6$

We use the larger answer L = 30 inches since L = 6 would give h = L -14 = 6 - 14 = -8 .

So, the length of the mat is 30 inches.

3 0

3 years ago

1. All numbered streets runs parallel to each other. Both 3rd and 4th Streets are intersected by King Ave. as shown: A B AND C A

IceJOKER [234]

(a) Sorry. I don't know the answer.
(b) The angle will be 75 degrees. It is a corresponding angle to the 75 degree angle.
(c) The angle is 105 degrees. This angle along with the 75 degree angle make a straight line, 180 - 75 = 105 degrees.

6 0

3 years ago

how do you answer x + 102=4x + 6 and I'm talking about finding an exterior angle with a missing interior angle

Anna11 [10]

I hope this helps you