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ki77a [65]
2 years ago
12

Find the altitude of this equilateral triangle - geometry

Mathematics
1 answer:
Bond [772]2 years ago
7 0

Answer:

4√3.

Step-by-step explanation:

If the height is h then

tan 60 = h / (1/2*8)

tan 60 = h/4

h = 4 tan 60

   = 4 * √3.

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A rectangle with a length of L and a width of W has a diagonal of 10 inches. Express the perimeter P of the rectangle as a funct
KatRina [158]
<h2>Answer:</h2>

The expression which represents the perimeter P of the rectangle as a function of L is:

          Perimeter=2(L+\sqrt{100-L^2})

<h2>Step-by-step explanation:</h2>

The length and width of a rectangle are denoted by L and W respectively.

Also the diagonal of a rectangle is: 10 inches.

We know that the diagonal of a rectangle in terms of L and W are given by:

10=\sqrt{L^2+W^2}

( Since, the diagonal of a rectangle act as a hypotenuse of the right angled triangle and we use the Pythagorean Theorem )

Hence, we have:

10^2=L^2+W^2\\\\i.e.\\\\W^2=100-L^2\\\\W=\pm \sqrt{100-L^2}

But we know that width can't be negative. It has to be greater than 0.

Hence, we have:

W=\sqrt{100-L^2}

Now, we know that the Perimeter of a rectangle is given by:

Perimeter=2(L+W)

Here we have:

Perimeter=2(L+\sqrt{100-L^2})

7 0
3 years ago
The regular price of a baseball hat is $14.45. If Carlos buys the baseball hat on sale for 20% off the regular price, how much c
Tanya [424]

Answer:

I believe it's $8.44 hope this helps

7 0
3 years ago
QUESTÃO 01
Korvikt [17]

Responder:

2³

5⁴

10³

a^6

Explicação passo a passo:

Quando um certo valor é multiplicado repetidamente,

Por exemplo,

a * a * a * a = a⁴ (a multiplicado 4 vezes)

Por isso,

2 x 2 x 2 = 2³

5 x 5 x 5 x 5 = 5⁴

10 x 10 x 10 = 10³

a x a x a x a x a x a = a^6

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3 years ago
Please help me out on this​
LenKa [72]

Answer:

D

Step-by-step explanation: since it is a open dot to the right it’s x>-3 open dot means less than or greater than going to right means greater than

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3 years ago
2. Find the missing side length.<br> 9<br> 37°<br> 6
svetoff [14.1K]

Answer:

I found it! It's over here!!

Now what do I do with it?

8 0
3 years ago
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