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Scrat [10]
3 years ago
5

One leg of an isosceles right triangle measures 5 inches. Rounded to the nearest tenth, what is the approximate length of the hy

potenuse? 2.5 inches 5.0 inches 7.1 inches 9.8 inches
Mathematics
2 answers:
Zolol [24]3 years ago
7 0

Answer:  7.1 inches

Step-by-step explanation:

Given: One leg of isosceles right triangle = 5 inches

Since in isosceles right triangle , two sides have same side length , therefore the length of the other leg should be 5 inches.

Let H be the hypotenuse of the isosceles right triangle

Now, by Pythagoras Theorem , we have

H^2=5^2+5^2=25+25=50\\\\\Rightarrow\ H=\sqrt{50}=5\sqrt{2}\\\\\Rightarrow\ H==5\times(1.41421356237)\\\\\Rightarrow\ H==7.07106781187\approx7.1\ inches

Hence, the approximate length of the hypotenuse = 7.1 inches

PSYCHO15rus [73]3 years ago
6 0
The answer is 7.1 inches. hope this helped
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If you multiply a number by 3 and then subtract 5, you will get 40 what is the number
Paul [167]

Answer:

Number  = 15.

Step-by-step explanation:

Given : If you multiply a number by 3 and then subtract 5, you will get 40.

To find : what is the number.

Solution : We have given if you multiply a number by 3 and then subtract 5, you will get 40.

According to question :

Let the number =  x

Multiply is with 3 = 3x

Subtract 5 from it we get 40 .

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On adding both sides by 5

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On dividing both sides by 3

x =  15.

Therefore, Number  = 15.

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2 years ago
Read 2 more answers
If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(–2)?
Vedmedyk [2.9K]
F(x) = 8 - 10x

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Finding (fg)(-2).

First let us find fg(x),  this is the same as f(g(x))

f(g(x))

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Recall, f(x) = 8 - 10x, therefore f(5x + 4) would be such that anywhere we see x in the f(x), we replace it with 5x + 4

f(x) = 8 - 10x

f(5x +4) =  8 - 10(5x + 4)

             =  8 - 50x - 40

             = -50x + 8 - 40

             =  -50x - 32

f(g(x)) = fg(x) = -50x - 32

fg(-2) = -50*(-2) - 32 = 100 - 32 = 68

Therefore fg(-2) = 68

I hope this helped.
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Answer:

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Step-by-step explanation:

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