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Y = 3/4x - 5/2...subtract 3/4x from both sides
-3/4x + y = -5/2....multiply both sides by -4
3x - 4y = 10 <===
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x + 4y = 12....subtract x from both sides
4y = -x + 12...divide both sides by 4
y = 1/4x + 3 <==
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y = 1/2x.....this will be going thru the origin (0,0)....so start at (0,0)...and since it has a slope of 1/2, go up 1 space and to the right 2 spaces...plot that point...then up 1 and to the right 2...plot that point...keep doing this....and then just connect ur plotted points and u will have ur line
Answer:
length = 20 ft, width = 11 ft
Step-by-step explanation:
let w be width, then length = w + 9
The opposite sides of a rectangle are equal , then
2w + 2(w + 9) = 62
2w + 2w + 18 = 62
4w + 18 = 62 ( subtract 18 from both sides )
4w = 44 ( divide both sides by 4 )
w = 11
and w + 9 = 11 + 9 = 20
then width = 11 ft and length = 20 ft
Since the polyhedron is about 78.5 m², the radius of the sphere is 2.5 m
Since the sum of the faces of the polyhefron equals the surface area of the sphere, we find its surface area.
<h3>What is the surface area of sphere?</h3>
The surface area of sphere is given by A = 4πr² where r = radius of sphere
<h3>Radius of the sphere</h3>
Making r subject of the formula, we have
r = √(A/4π)
Given that he sum of all the faces of the polyhedron is about 78.5 square meters, this is equal to the surface area of the sphere.
So, A = 78.5 m²
Substituting this into the equation for r, we have
r = √(A/4π)
r = √(78.5 m²/4π)
r = √(19.625 m²/π)
= √(6.246 m²)
= 2.499 m
≅ 2.5 m
So, the radius of the sphere is 2.5 m
Learn more about radius of sphere here:
brainly.com/question/13458041
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