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tigry1 [53]
3 years ago
12

Solve for x. leave the answer in simplest radical form

Mathematics
1 answer:
WINSTONCH [101]3 years ago
8 0

Answer:

\sqrt{120}

Step-by-step explanation:

These are right triangles, remember<em> Pythagoras theorem?</em>

<em />

<em />a^{2}+ b^{2}= c^{2}<em />

<em />

"a" and "b" refer to the legs of the triangle, and "c" is the longest side, the one opposite to the right angle, the hypotenuse.

So, we need to find one leg, and we have a side and a hypotenuse.

Replace the values in the equation:

9^{2} +b^{2} =10^{2}

Simplify:

36+b^{2} =100

Take the 36 to the other side:

b^{2} =36+100

Simplify:

b^{2} = 136

To get rid of the square on the other side, put radicals on each side:

\sqrt{b^{2} }=\sqrt{136}

Simplify, the square and radical on the left cancel out:

b=\sqrt{136}

So that's the line in the center, not x, to find x, do the same.

x = \sqrt{120}

:)

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Solve for the brainlist
Sergio039 [100]

Answer:

x = 10.0

Step-by-step explanation:

Using the geometric mean formula:

       x                projection

-----------------  =  ---------------

entire base              x

Here, the projection is 5 and the entire base is (20 + 5). So:

       x                5

------------  =  ------------

      25              x

Cross multiply:

x² = 25 (5)

x² = 100

√x² = √100

x = 10

3 0
3 years ago
Rita and Tina each make $11 an hour working as cashiers at a supermarket. Last week, Rita worked r hours while Tina worked t hou
soldier1979 [14.2K]
The cost per hour is $11, at that point, the coefficient of the quantity of hours Rita and Tina had worked. With respect to Rita, she will get an additional $32 level wage for her extra hours. It wont be duplicated any further. Mathematically: 

Rita's Total Wages = 11r + 32

Tina's Total Wages = 11t
3 0
3 years ago
2x (y^2+3)-5 (3+y^2)
Irina18 [472]

Use distributive property a(b + c) = ab + ac.

2x(y^2+3)-5(3+y^2)=(2x)(y^2)+(2x)(3)+(-5)(3)+(-5)(y^2)\\\\=2xy^2+6x-15-5y^2

3 0
3 years ago
(Please need help )Cedrick traded his Halloween candy with his friends. He likes Snickers as his favorite
Vesna [10]

Answer:

87.5%

Step-by-step explanation:

28/32=0.875

0.875*100= 87.5

87.5% of 32 = 28

3 0
2 years ago
A family paid $26.400 as a down payment for a home. If this represents 16% of the price of the home, find the price of the home.
Vlada [557]
The correct answer is:

How to find X if P percent of it is Y. Use the percentage formula Y/P% = X

Convert the problem to an equation using the percentage formula: Y/P% = X
Y is 26,400, P% is 16%, so the equation is 26,400/16% = X
Convert the percentage to a decimal by dividing by 100.
Converting 16% to a decimal: 16/100 = 0.16
Substitute 0.16 for 16% in the equation: 26,400/0.16 = X
Do the math: 26,400/0.16 = X
X = 165,000
So $ 165,000 is the price of the home.

I hope this helps you!!
7 0
3 years ago
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