Question 78511: I am totally lost on the following 3 problems! Could you PLEASE Help me??? Thank you :)
#1 For a home that has a roof that is 7m from peak to eave and the attic space is 3m high at the peak, how long does each of the pieces of insulation need to be? Round to the nearest tenth.
#2Find the distance between each pair of roots.
(-3, 0) and (4, 0)
#3 Use the Pythagorean theorem to determine the length of each line segment. Where appropriate, round to the nearest hundredth.
(3,2) (1,-2)
Thanks again :)
Bev
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! 1 For a home that has a roof that is 7m from peak to eave and the attic space is 3m high at the peak, how long does each of the pieces of insulation need to be? Round to the nearest tenth.
:
If you look at a conventional roof you can see that it forms two back-to-back
right triangles. If we solve for the horizontal leg of one of these triangles,
we will have half the length of the required insulation, right?
:
With the help of Mr. Pythagoras; a^2 + b^2 = c^2, let the horizontal side = a
b = 3 and c = 7 (the hypotenuse)
a^2 + 3^2 = 7^2
a^2 + 9 = 49
a^2 = 49 - 9
a^2 = 40
a = Sqrt(40)
a = 6.32
Multiply this by 2 and we have 12.6 meters is the length of the insulation required.
:
:
#2Find the distance between each pair of roots.
(-3, 0) and (4, 0)
Since the y coordinate is 0 on both, it is a horizontal line:
4 - (-3) = 4 + 3 = 7 is the distance between them
:
:
#3 Use the Pythagorean theorem to determine the length of each line segment. Where appropriate, round to the nearest hundredth.
(3,2) (1,-2)
:
In this one, we use this distance formula which is based on Pythag theorem:
d = 
:
Let x1 = 3; y1 = 2; x2 = 1, y2 = -2
:
d = 
:
d = 
:
d = 
:
d = 
:
d = 4.47
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Has this helped you become a little more un-lost?
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