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Over [174]
3 years ago
5

The hypotenuse of a 45°-45°-90° triangle measures 24 inches. What is the length of the one leg of the triangle?

Mathematics
1 answer:
o-na [289]3 years ago
7 0

Answer: 12\sqrt{2}\ in

Step-by-step explanation:

By definition a 45°, 45° and 90° is known as "Isosceles right triangle". This is an special type of triangle that has two  congruent legs (which means that it has two legs that have equal length).

Then, for this case you need to use the following formula:

L=\frac{1}{2}H\sqrt{2}

Where "L" is the length of any leg and "H" is the hypotenuse of the triangles.

In this case you know that:

H=24\ in

Then, knowing the value of "H", you can substitute it into the formula and then you must evaluate in order to find the value of "L".

Therefore, you get the following result:

L=\frac{1}{2}(24\ in)\sqrt{2}\\\\L=12\sqrt{2}\ in

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Answer:

B. 90 degrees

Step-by-step explanation:

The definition of supplementary is that they add up to 180 degrees.  If the measure of angle A is 90 degrees, then angle B is 180-90 = 90 degrees.

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3 years ago
To make a specific hair dye, a hair stylist uses a ratio of 1 oz of red tone, oz of gray
Paul [167]
Answer:

30 oz of grey
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5 0
2 years ago
Read 2 more answers
Find the measure of the central angle.
MrRissso [65]
To start with we have to write down what we know. pi=3.14, r=9, arc length is 1. x is the angle we are trying to find. Saying that the radius is 9

There is an equation that states that the arc length is equal to x/360 (the fraction of the circle) multiplied by the circumference or 2 times pi times the radius.
L= \frac{x}{360} * 2 \pi r
where * means multiply.
1= \frac{x}{360} * 3.14 * 9
Simplify
1= \frac{x}{360} *28.26
Take the 28.26 over to the other side of the equation, where it then it divides the 1.
\frac{1}{28.26} =  \frac{x}{360}
This becomes: 0.035= \frac{x}{360}
Then the 360 is brought over to the other side and multiplies the 0.035:
360*0.035=x
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7 0
3 years ago
Leanne has a gas card that has $150 on it. She spends $25 a week on gas. Write and recursive rule that represents the amount of
Tems11 [23]

In this question, it is given that

Leanne has a gas card that has $150 on it. She spends $25 a week on gas.

And we have to Write a recursive rule that represents the amount of money she has on her gas card after the first week  .

Recursive rule shows the relationship between previous value and the current value .

And here, the recursive rule is

a_{n} = a_{n-1}-25n

Where a(n-1) is the initial amount which is $150 . And a(n) is the amount after n week .

So for n=1, that is amount in the card after 1 week, we will get

a_{1} = a_{1-1} -25(1)
\\
a_{1} = a_{0} -25
\\
a_{1} = 150 -25
\\
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And that's the amount remaining in the card after 1 week .

5 0
4 years ago
Y+6-2-4y^3-5y+2y^3-2y^3 combine like terms
MAXImum [283]

Answer:

-4y^3 - 4y + 4

Step-by-step explanation:

<u>Step 1:  Combine like terms</u>

y + 6 - 2 - 4y^3 - 5y + 2y^3 - 2y^3

y + 4 - 4y^3 - 5y

-4y + 4 - 4y^3

<em>-4y^3 - 4y + 4</em>

<em />

Answer:  -4y^3 - 4y + 4

8 0
3 years ago
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