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Vlada [557]
3 years ago
15

given the height and the circumference of the base of a cylinder describe how to find the surface area of the entire cylinder

Mathematics
1 answer:
Dafna11 [192]3 years ago
7 0
The radius of the cylinder is related to its circumference by
.. C = 2πr
.. r = C/(2π)
The area of the cylinder base is given by
.. A = π*r^2 = π*(C/(2π))^2 = C^2/(4π)

The lateral area of the cylinder is given by
.. S = C*h

The total area of the cylinder is the lateral area plus the area of both bases.
.. total area = C*h +2*C^2/(4π)
.. total area = C*h +C^2/(2π) . . . . . . . . area from circumference and height
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What's the area of this rectangle?
Bess [88]

well, the assumption is that is a rectangle, namely it has two equal pairs, so we can just find the length of one of the pairs to get the dimensions.

hmmmm let's say let's get the length of the segment at (-1,-3), (1,3) for its length

and

the length of the segment at (-1, -3), (-4, -2) for its width

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{length}{L}=\sqrt{[1-(-1)]^2+[3-(-3)]^2}\implies L=\sqrt{(1+1)^2+(3+3)^2} \\\\\\ L=\sqrt{4+36}\implies L=\sqrt{40} \\\\[-0.35em] ~\dotfill

\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{width}{w}=\sqrt{[-4-(-1)]^2+[-2-(-3)]^2}\implies w=\sqrt{(-4+1)^2+(-2+3)^2} \\\\\\ w=\sqrt{9+1}\implies w=\sqrt{10} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the rectangle}}{A=Lw}\implies \sqrt{40}\cdot \sqrt{10}\implies \sqrt{400}\implies \boxed{20}

7 0
2 years ago
–8(x – 4) - (12x – 8)
nlexa [21]

Answer:

-20x+128

Step-by-step explanation:

–8(x – 4) - (12x – 8)

distribute: -8x+32-12x+96

combine like terms

-20x+128

5 0
3 years ago
The triangle are similar. what is the valie of x?​
Nadusha1986 [10]

Answer:

the answer is 6

Step-by-step explanation:

the little triangle is half the size but with the same degree

8 0
3 years ago
Read 2 more answers
Sara bought a 16-ounce jar of strawberry jam for $3.20 What is the unit price?
wolverine [178]

Answer:

$0.20

Step-by-step explanation:

so you have 16 ounces of jam. i personally like jelly, but that's besides the point lol

so for those 16 ounces, you paid $3.20 for them.

unit price is just a term for the price of 1 item or measurement. you can use this to find out what product you are purchasing has the better deal, because you always want more product, for less money.

you should take the amount of money you are spending, and divide it by how many total ounces it has.

$3.20 / 16 = 0.20

this means that 1 ounce of jam costs $0.20

you can check your work by multiplying the price of one ounce, by how many ounces the jar is.

.2 * 16 = 3.20

i hope this was helpful to you and i explained well enough!

stay safe!!

:)

7 0
2 years ago
-2x-y=-5 In slope intercept form please! :)
schepotkina [342]

Answer:

-2x - y = -5 in slop intercept form would be <u>y = -2x + 5 </u>

Step-by-step explanation:

-2x - y = -5

first add -2x to the left side to move it to the right side because whatever you do to one side u do to the other.

-y = -5 + 2x

divide by -1 on the whole equation

y = -2x + 5 is your answer.

8 0
3 years ago
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