1. The formula for calculate the perimeter of a rectangle, is:
P=2L+2W
P is the perimeter of the rectangle (P=320 feet).
L is the lenght of the rectangle.
W is the width of the rectangle.
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2. The problem says that the length of the rectangle is three times the width, so you have:
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L=3W
3. When you substitute L=3W and P=320, into P=2L+2W, you obtain:
P=2L+2W
320=2(3W)+2W
320=6W+2W
8W=320
W=320/8
W=40 feet
4. The barn forms one end of the rectangle. Therefore the linear feet of fence (x) is:
x=P-W
x=320 feet-40 feet
x=280 feet
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How many linear feet of fence must he buy?
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The answer is: 280 feet
Answer:
For the first city, the 95% confidence interval would be:
28,900 +/- 2300 x 3 = 28,900 +/-6900$
For the second city, the 95% confidence interval would be:
30,300 +/- 2100 x 3 = 30,300 +/- 6300$
Large sphere's radius = R,
small sphere's radius = r, R = 8r
surface area of a sphere (SA) = 4×pi×radius^2
So what we need is the SA of the larger in terms of the smaller sphere, so if:
SA (of R) = 4×pi×R^2, then plug in "8r" for "R"...
SA = 4×pi×(8r)^2 = 4×3.14×64r^2
SA = 12.57×64r^2 = 804 r^2
Therefore the SA of the larger sphere is 804 times the SA of the smaller sphere.
I hope that makes sense!
Answer:
Step-by-step explanation:
Before giving the exterior angles, find the third angle. A triangle (all triangles) measure 180 degrees.
35 + 80 + x = 180
115 + x = 180
x = 180 - 115
x = 65
Exterior angles are supplements of the interior angles.
So the exterior angle to 65 degrees is 180 - 65 = 115
And the exterior angle to 35 degrees is 180-35 = 145
The exterior angle to 80 degrees is 180 - 100 = 80
To prove two equations have infinite solutions, you have to prove that those two equations are the same equations, but in a different form.
For example: Prove the equations are infinite
5y=2x+7
10y=4x+14
If you multiply the first equation by 2, and substitiute any of the numbers, you will get 0=0
