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viva [34]
2 years ago
10

Which of these choices is the length of the leg of a 45-45-90 triangle with a hypotenuse of 20?

Mathematics
2 answers:
Marta_Voda [28]2 years ago
8 0

Answer:  The correct choice is 10√2 units.

Step-by-step explanation:  We are given to select the correct choice that gives the length of the leg of a 45-45-90 triangle with a hypotenuse of 20.

Since the given triangle is an isosceles right-angled triangle, so let x units be the length of each of the legs.

Using the Pythagoras theorem, we get

x^2+x^2=20^2\\\\\Rightarrow 2x^2=400\\\\\Rightarrow x^2=\dfrac{400}{2}\\\\\Rightarrow x^2=200\\\\\Rightarrow x=\pm\sqrt{2\times100}\\\\\Rightarrow x=\pm10\sqrt2.

Since x is the length of the leg of the given triangle, so we get

x = 10√2 units.

Thus, the correct choice is 10√2 units.

Nuetrik [128]2 years ago
7 0
The answer would be b.20
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Answer:

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f(x)  =  | - 5 - 4x|

To solve for the following substitute the value of x in the brackets into the above formula and solve for the value of x

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So we have

f( - 10) =  | - 5 - 4( - 10)|  \\  =  | - 5 + 40|  = 35 \\  \\ f( - 11) =  | - 5 - 4( - 11)|  \\  =  | - 5 + 44|  = 39 \\  \\ f(12) =  | - 5 - 4(12)|  \\  =  | - 5 - 48|   \\  =  | - 53|  = 53 \\  \\ f(2) =  | - 5 - 4(2)|  \\  =  | - 5 - 8|  =  | - 13|  \\  = 13

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