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Norma-Jean [14]
3 years ago
15

A container of oatmeal in the shape of a cylinder has a surface area of 47.5pi square centimeters. The height of the container i

s 7 centimeters. What is the radius of the base of the cylinder?
Mathematics
1 answer:
Llana [10]3 years ago
3 0

Answer:

  2.5 cm

Step-by-step explanation:

The total surface area of a cylinder is the sum of the two base areas and the lateral area.

 S = 2πr² +2πrh

Filling in the given information, we have ...

  47.5π = 2πr² +14πr

  23.75 = r² +7r . . . . . divide by 2π

  23.75 +12.25 = r² +7r +12.25 . . . . . . add the square of 7/2 to complete the square

  36 = (r +3.5)² . . . . simplify a bit

  6 = r +3.5 . . . . . . . take the positive square root

  2.5 = r . . . . . . . . . . subtract 3.5

The radius of the base of the cylinder is 2.5 cm.

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lidiya [134]
If you want the answer in point slope form then,

y-y1 = m(x-x1)
y-c = m(x-a)

---------------------------------------

If you want the answer in slope intercept form, then solve for y

y-c = m(x-a)
y-c = mx-ma
y-c+c = mx-ma+c
y = mx-ma+c
y = mx+c-ma
y = mx+(c-ma)

For this answer in slope intercept form the slope is m and the y intercept is c-ma

---------------------------------------

If you want the answer in standard form, then get the variable terms to the left side. Have the constant terms on the right side.

y = mx+c-ma
y-mx = mx+c-ma-mx
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Optionally you can multiply both sides by -1 to get mx-y = -c+ma but it will depend on your book if this step is carried out or not.

4 0
3 years ago
the system of equatuions 2y = 14 - 2x and y= -x+7 is graphed. what is the solution to the system of equations
Alex73 [517]

Answer:

the solution is the whole line y = -x + 7

Step-by-step explanation:

both equations are identical

2y = 14 - 2x

=> y = 7 - x

which is exactly the same information as y=-x+7

so, there is no single crossing point. they are exactly covering each other. what "remains" is simply the whole line.

4 0
3 years ago
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il63 [147K]

Answer:

41 1/7

Step-by-step explanation:

5 1/7 x 8

Convert 5 1/7 to improper fraction

5 1/7 = 36/7

Multiply.

36  x  8

----      --

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---

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A = bh 

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Answer:

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Step-by-step explanation:

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