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Zinaida [17]
3 years ago
9

What is the relationship between the length of one leg and the length of the hypotenuse of an isosceles right triangles?

Mathematics
2 answers:
atroni [7]3 years ago
6 0

Answer:

progably B) Hypotenuse = Leg ∙ √2

Step-by-step explanation:

Ipatiy [6.2K]3 years ago
3 0

Answer:

B) Hypotenuse = Leg ∙ √2

Step-by-step explanation:

This is a well-known ratio in the 45-45-90 right triangle, but we can derive it.

An isosceles right triangle has two congruent legs forming the right angle and the hypotenuse opposite the right angle. The Pythagorean theorem works since it is a right angle.

Normally, the legs are a and b, and the hypotenuse is c, and we have

a^2 + b^2 = c^2

Here the legs are congruent, so we have a = b.

Substituting a for b, we have

a^2 + a^2 = c^2

2a^2 = c^2

c^2 = 2a^2

c = a√2

Answer: B) Hypotenuse = Leg ∙ √2

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andrey2020 [161]

Answer: (-infinity,10]

Step-by-step explanation: 50n is less than or equal to 500. So, treat the less than or equal to sign as an equal sign. Then do like regular and divide 500 by 50 to get ten on the right while N stays on the left. To get n is greater than or equal to 10!

3 0
3 years ago
the ratio of oil to vinegar in a certain salad dressing is 8:5. how much oil must be blended with 7 liters of vinegar for that r
tia_tia [17]
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5x=8*7
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8 0
4 years ago
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tiny-mole [99]
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7 0
3 years ago
Determine whether the following equation defines y as a function of x.
Aleks04 [339]

Answer:

The equation can define y as a function of x and it also can define x as a function of y.

Step-by-step explanation:

A relation is a function if and only if each value in the domain is mapped into only one value in the range.

So, if we have:

f(x₀) = A

and, for the same input x₀:

f(x₀) = B

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Now we want to see it:

x + y = 27

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if we isolate y, we get:

y = f(x) = 27 - x

Now, this is a linear equation, so for each value of x we will find an unique correspondent value of y, so yes, this is a function.

Now we also want to check if:

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So now we need to isolate x to get:

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3 0
3 years ago
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BlackZzzverrR [31]
Answer is A. 35/12

Step by step.
Quotient is division.
5/6 divided by 2/7 = x
To divide fractions, flip one and multiply.
5/6 x 7/2 = 35/12
So your answer is A. 35/12.
4 0
2 years ago
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