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notka56 [123]
3 years ago
12

When simplified ,

20" id="TexFormula1" title=" \frac{15x {}^{4} }{30x {}^{2} } " alt=" \frac{15x {}^{4} }{30x {}^{2} } " align="absmiddle" class="latex-formula">
is:
​
Mathematics
1 answer:
vlada-n [284]3 years ago
6 0

Answer:

\frac{x^{2} }{2}

Step-by-step explanation:

⇒ \frac{15x^{4} }{30x^{2} }

⇒ \frac{x^{2} }{2 }

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Use the Pythagorean Theorem to find the length of the leg in the triangle shown below.
Natali [406]
The answer to what the length of the leg would be is 15.

You would do this problem by first writing down your Pythagorean Theorem, which is a^2 + b^2 = c^2.

Since we have our hypotenuse which is c^2 in our equation, we would write or insert the number we have.

So our equation could be that a or b leg equals 20, it doesn’t matter which one.

So we could write, 20^2 + b^2 = 25^2. So we don’t know what b leg is.

First we should figure out what 20^2 is and what 25^2 is.

20^2 is 400 and 25^2 is 625.

Our equation now comes to 400 + b^2 = 625.

Now we take 400 and subtract it from
625 -> 400 + b^2 = 625
-400.

So 625 - 400 comes out to be 225.

Lastly instead of squaring or putting 225 to the second power, we do the opposite.

So instead of squaring 225 we must square root 225. √ 225 .

The square root of √ 225 comes out to be 15.

3 0
3 years ago
If AG + GH = 10, then may GH = AG + 10?
Natali [406]
Yes it will, they are the same value just in diff locations
7 0
3 years ago
Simplify <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B4%7D%5E%7B2%7D%20%7D%7B16%7D%20" id="TexFormula1" title=" \fra
babunello [35]

Answer: <em>1</em>

Step-by-step explanation:

\dfrac{ {4}^{2} }{16}=\dfrac{16}{16} =1

7 0
3 years ago
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Regular hexagon ABCDEF is inscribed in a circle with center H. What is the image of segment BC after a reflection over line FC?
AlladinOne [14]
Regular hexagon ABCDEF is inscribed in a circle with center H. What is the image of segment BC after a reflection over line FC?
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3 years ago
A magician asks two volunteers to each draw a card from a standard deck of cards. What is the probability that the first card is
mars1129 [50]

Answer:

6.37%

Step-by-step explanation:

A deck of cards have 52 cards.  There are 4 suits of 13 card each, those suits are Hearts, Clubs, Diamond and Spades.

The probability that the first card is a heart is:

P(Hearts) = \frac{13}{52}

Now, the probabily that the second card is a diamond is:

P(Diamond | First card is Heart) = \frac{13}{51}

The Probability that the first card is a heart and the second one a diamond is given by:

P(Hearts)×P(Diamond | First card is Heart)

= \frac{13}{52}\frac{13}{51}

= 6.37%

4 0
3 years ago
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