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posledela
2 years ago
6

A triangle has a perimeter of 10a + 3b + 12 and has sides of length 3a + 8 and 5a + b what is the length of the third side ?

Mathematics
1 answer:
RideAnS [48]2 years ago
5 0

Answer:

  2a +2b +4

Step-by-step explanation:

The perimeter is the sum of the lengths of the three sides. If x represents the length of the third side, then ...

  (3a +8) +(5a +b) +x = (10a +3b +12)

Subtracting from the equation everything on the left side that is not x, we get ...

  x = (10a +3b +12) -(3a +8) -(5a +b)

  = a(10 -3 -5) +b(3 -1) +(12 -8)

  = 2a +2b +4

The length of the third side is 2a +2b +4.

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The hypotenuse of a 45 45 90 triangle measures 24 inches. what is the length of one leg of the triangle?
frosja888 [35]

Answer:

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Step-by-step explanation:

we know that

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Let

x-----> the length side of the leg of the triangle

y------> the length side of the hypotenuse

sin(45\°)=cos(45\°)=\frac{\sqrt{2}}{2}

cos(45\°)=\frac{x}{y}

so

\frac{x}{y}=\frac{\sqrt{2}}{2}

in this problem we have

y=24\ in

substitute the value of y and solve for x

\frac{x}{24}=\frac{\sqrt{2}}{2}

x=24\frac{\sqrt{2}}{2}

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3 years ago
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zhenek [66]

Answer:

(5/6)

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3 years ago
What is the value of x in the equation <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7Dx%20-%5Cfrac%7B2%7D%7B3%7D" id="Te
SVEN [57.7K]

Answer:

x= 200

Step-by-step explanation:

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Put the value of y in the given equation:

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Move the denominator to the R.H.S

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3 years ago
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Strike441 [17]

Answer:

10

Step-by-step explanation:

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2 years ago
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