Answer:
That will be the Transitive Property
Step-by-step explanation:
In order to do this, you have to use the Pythagorean Theorem which is a^2 +b^2=c^2 It does not matter in what order a and b are, but c is always the hypotenuse or the side across from the right angle. First, you substitute 24 in for a and 45 in for b so your equation so far would look like 24^2 + 45^2 = c^2 Then, you square 24 and 45 and get 576+2025=c^2 Then you add the two to get 2601=c^2 Finally, you would square root both sides and get 51=c So the width of the recycling bin is 51 inches long
Answer:
2π feet
Step-by-step explanation:
9:30 PM to 1:30 AM is 4 hours.
It is 1/3 of a complete revolution.
A full 12 hours would be 2×r×π=2×3×π
1/3 of that is:
1/3×2×3×π=2π
≈6.283185307 feet
Answer:
114, and 115
Step-by-step explanation:
114+115 = 229
I'll do problem 1 to get you started.
The vertical sides are 3 and x for the left and right figures.
The horizontal sides are 15 and 60 for the left and right figures.
The corresponding sides form fractions which are equal (due to the nature of the similar polygons)
3/x = 15/60
3*60 = x*15 ... cross multiply
180 = 15x
15x = 180
x = 180/15 .... divide both sides by 15
x = 12
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Another way you can see this is note how the jump from 15 to 60 is "times 4", so the jump from 3 to x must also be "times 4" to keep the same proportion
3 ---> x = 3*4 = 12
Or you could set up the proportion
60/15 = x/3
4 = x/3
x/3 = 4
x = 3*4
x = 12
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<h3>Final Answer: 12</h3>