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Darya [45]
4 years ago
6

The legs of a right triangle have lengths 10 and 24. What is the length of the hypotenuse?

Mathematics
2 answers:
Alex4 years ago
6 0

Answer:

The hypotenuse is 26

Step-by-step explanation:

If the triangle is a right triangle, we can use the Pythagorean theorem

a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse

10^2 +24^2 = c^2

100 +576 = c^2

676 = c^2

Take the square root of each side

sqrt676 = c

26

N76 [4]4 years ago
4 0

Answer:

26 units

Step-by-step explanation:

Use the pythagorean theorem (a^2+b^2=c^2) to plug in the values and solve the equation.

24^2+10^2=c^2

576+100=c^2

(sqrt)676=c^2(sqrt)

26=c

c=26

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Answer: Slope: 3, Y-intercept: 3/2

Step-by-step explanation:

<u>x             y </u>

-1         -3/2

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Since we are given an x,y table, we can easily spot the y-intercept. The y-intercept has the x value of 0. Therefore, the y-intercept is 3/2.

Now, we can use the formula m=\frac{y_{2}-y_{1}  }{x_{2} -x_{1} } to find the slope.

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3 years ago
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The LCM of 4, 9, and 10 is _______.<br><br> 36<br><br> 180<br><br> 40<br><br> 90
Anna [14]

Answer:

180

Step-by-step explanation:

Multiples of 4:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, <em><u>180</u></em>, 184, 188

Multiples of 9:

9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, <em><u>180</u></em>, 189, 198

Multiples of 10:

10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, <em><u>180</u></em>, 190, 200

Stay safe and Merry Christmas! :)

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3 years ago
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