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Sonbull [250]
3 years ago
12

How many centimeters long is a leg of an isosceles right triangle if its hypotenuse has a length of 8√2 centimeters?

Mathematics
1 answer:
andrew-mc [135]3 years ago
7 0

Answer:

The leg is 8 cm long

Step-by-step explanation:

An isosceles right triangle has the length of its hypotenuse and opposite equal

Let us call the length x

From Pythagoras’ , the square of the hypotenuse equals the sum of the squares of the two other sides

Thus, we have ;

x^2 + x^2 = (8 √2)^2

2x^2 = 128

x^2 = 128/2

x^2 = 64

x= √64

x = 8 cm

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( -3, -14 ) and ( 0, -9 )
expeople1 [14]

The slope of the line that passes through the points ( -3, -14 ) and ( 0, -9 ) is 5/3

<h3>How to calculate the slope of the line?</h3>

From the question, the points are given as

( -3, -14 ) and ( 0, -9 )

Rewrite the above points properly as ordered pairs

So, we have the following ordered pairs

(-3, -14) and (0, -9)

The slope of the line is then calculated using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (-3, -14) and (0, -9)

Substitute the known values of the ordered pairs in the equation Slope = (y₂ - y₁)/(x₂ - x₁)

So, we have the following equation

Slope = (-9 + 14)/(0 + 3)

Evaluate the sum in the above equation

So, we have the following representation

Slope = 5/3

Hence, the slope of the line is 5/3

Read more about slope at

brainly.com/question/3493733

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<u>Possible question</u>

Find the slope of ( -3, -14 ) and ( 0, -9 )

7 0
1 year ago
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Did I do the first question right? can anyone please help me with the 2nd question? Would really appreciate the Help​
IgorC [24]

Answer:

  8.  1483.33

  9.  21 months

Step-by-step explanation:

8. Morgan's income after taxes is 55000/12 = 4583.33 per month. The amount  available after expenses is 4583.33 -3100.00 = 1483.33 per month.

Morgan is able to put $1483.33 per month into savings.

__

9. If Morgan is able to save $1483.33 per month, it will take her ...

  $30,000/$1483.33 ≈ 20.2

months to save $30,000. After 20 months, she won't have quite enough, so it will take her one more month to save the desired amount.

It will take Morgan about 21 months to save $30,000.

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If you like, you can write an equation for "m", the number of months it will take Morgan to save 30,000:

  1483.33×m = 30,000

  m = 30,000/1483.33 ≈ 20.2 . . . . . . divide by the coefficient of m

7 0
3 years ago
tonya earned $5.00 she put half of the money into savings and kept the rest to spend.she bought a toy for $2.00.how much spendin
nalin [4]

Answer:

50 cents

Step-by-step explanation:

half of 5.00$ is 2.50$

6 0
3 years ago
-233.2 - 25.8<br> Please help.
Anon25 [30]

Answer:

-259

Step-by-step explanation:

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3 0
2 years ago
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How much interest would be earned on a $3,200 deposit at 3.5% for 1 year?
Fynjy0 [20]

Answer:

Hey there!

I=PRT

I=3200(0.035)(1)

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The interest is 112 dollars.

Hope this helps :)

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3 years ago
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