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Alexxandr [17]
3 years ago
5

A cylinder has radius r and height h. a. How many times greater is the surface area of a cylinder when both dimensions are multi

plied by a factor of 2? 3? 5? 10? b. Describe the pattern in part (a). How many times greater is the surface area of a cylinder when both dimensions are multiplied by a factor of 20?
Mathematics
1 answer:
kondor19780726 [428]3 years ago
3 0
To find it directly

A = 2 pi r h

A is proportional to rh

factor 2

A is multiplied by 2 * 2 = 4

factor 3

3 * 3 =9

factor 5

5 * 5 = 25

factor 10 

10 * 10 = 100

(b) the increase in A by factor x is x^2

c(20)^2 = 400 
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What is the axis of symmetry of the function f(x) = –(x + 9)(x – 21)?
ludmilkaskok [199]
First, we have to realize that this is factored form, so we have to put this in standard quadratic form using FOIL, which is a rule mandating how we multiply the numbers here. F stands for First, which means the first number inside the parentheses for both of them, then O means the first number in the first quantity(fancy word for parentheses) multiplied by the last number of the second quantity, and so forth. When you are done, you combine like terms

anyway, you end up with x²-12x-189, but you have to inverse all numbers because of the parentheses in front, so it becomes -x²+12x+189.

Now you can find the axis of symmetry uisng the equation -b=2a (oh yeah, I forgot to mention: the standard quadratic form is a(x)²+b(x)+c already). So you do -12 / -2, which then becomes 6.

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3 0
3 years ago
Be confident and be paitent to help people tahnky ou
Aleksandr [31]
12!!!! Hope this helped and good encouragement
4 0
3 years ago
Help !!! please show work so i know how to do it :)))
satela [25.4K]

Answer:

70

Step-by-step explanation:

the red lines mean the two sides are equal

so its an isosceles triangle meaning the two angles other than the 40° one are equal

the inner angles of a triangle must add up to 180

so 180-40 = 2x

140 = 2x

x = 140/2 = 70

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A person standing 20 feet from a street light casts a 10 foot shadow. How many times taller is the streetlight than the person?
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Check the picture below.

they're at a 3:1 ratio, thus, 3 times.

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