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Viefleur [7K]
3 years ago
8

What is the length of the missing leg of a right triangle given a leg of length 8 and a hypotenuse of length 10. Leave your answ

er in simplest radical form?
Mathematics
1 answer:
bezimeni [28]3 years ago
7 0

Answer:

6

Step-by-step explanation:

The hypotenuse will always be equal to "c." You can put "a" or "b" as 8. This gives us a^2 + 8^2 = 10^2 which simplifies to a^2 + 64 = 100. From there, you simplify (subtract 64, giving you a^2 = 36, and then take the square root of a^2 & 36 to get a = 6 (because 6*6 = 36))

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Vesnalui [34]

Answer:

C I'm pretty sure

Step-by-step explanation:

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5 0
3 years ago
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Thats the question ​
elixir [45]

Answer:

160 in ^2

Step-by-step explanation:

First we need to find the area of each shape and add them together

1. Triangles:

The formula for a triangle is (base x height)/2, so we can replace them as (5 * 4)/2 * 2( Because there are two triangles), so therefore the two triangles will add up to 20 inches

2. The Rectangles

<u>The Big Rectangle:</u>

The big rectangle is just <em>l x w </em> or 5 * 20 which is 100

<u>The small rectangle:</u>

To find the width of the small rectangle you have to do 20 - (5 + 5) because we are not including the triangles. 20 - (5 +  5) = 10, so that would be 10 * 4 = 40.

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4 0
2 years ago
Driving to your friend's house, you travel at an average rate of 35 miles per hour. On your
Mamont248 [21]

Answer:

14 miles.

Step-by-step explanation:

Let the distance traveled from home to destination = x miles.

Speed while going to friend's house = 35 miles per hour.

Speed while coming back = 40 miles per hour.

Total Time taken for the journey = 45 minutes = 0.75 hours.

Let the time taken while going to friend's house = y hours.

Therefore, the time taken while going to friend's house = (0.75 - y) hours.

To find x and y, model the speeds of both the journeys.

Speed while going to friend's house = Distance/Time.

35 = x/y.

x = 35y (Equation 1).

Speed while coming back = Distance/Time.

40 = x/(0.75 - y).

x = 40(0.75 - y) (Equation 2).

Since x = x, therefore:

35y = 30 - 40y.

75y = 30.

y = 30/75.

y = 0.4 hours.

Put y = 0.4 hours in Equation 1:

x = 35y.

x = 35(0.4).

x = 14.

Therefore, the distance between my friend's house and my house is 14 miles!!!

4 0
3 years ago
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3 years ago
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soldi70 [24.7K]

Answer:

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Step-by-step explanation:

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