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In-s [12.5K]
3 years ago
11

The Circle with a center (10,1) and the radius 5 has equation

Mathematics
1 answer:
liberstina [14]3 years ago
5 0
<h3>Answer:  (x-10)^2 + (y-1)^2 = 25</h3>

============================================

Explanation:

The general template of a circle is

(x-h)^2 + (y-k)^2 = r^2

Where,

  • (h,k) is the center
  • r is the radius

We are given (10,1) as the center so (h,k) = (10,1) meaning that h = 10 and k = 1 pair up together.

r = 5 is the given radius.

-----

Plug the values h = 10, k = 1, r = 5 into the equation to get:

(x-h)^2 + (y-k)^2 = r^2

(x-10)^2 + (y-1)^2 = 5^2

(x-10)^2 + (y-1)^2 = 25

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Lindsay opened a lemonade stand on her street. It costs her $15.00 to buy the supplies each day, and she sells lemonade for $2.0
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3 years ago
If a cone with a diameter of 10 m has a surface area of 190.6m2, find its slant height. Round to the nearest tenth.
alukav5142 [94]

Answer:  The slant height of the cone is 65.6 m

Step-by-step explanation:

Given: The diameter of a cone = 10 m

Surface area of cone = 190.6 m²

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Diameter of cone = 10 m

Therefore Radius of cone = \dfrac{\text {Diameter }}{2} = \dfrac{10}{2} =5m

As we know that surface area of a cone is given by

S.A. = \pi r(l+r)

Where S.A. is surface area , r is the radius of cone and l is the slant height of the cone.

Let Slant height = l

So we have

190.6 = \dfrac{22}{7} \times 5 ( 5+l)\\\\\Rightarrow  5+l= \dfrac{190.6 \times 7}{22}\\\\\Rightarrow l=  \dfrac{1334.2}{22}+5\approx 60.64+5 = 65.64\approx65.6

Hence the slant height of the cone is 65.6 m

5 0
3 years ago
consider the gre scores for a random sample of 6 students out of a class of 25: name julia andrew jason cathy jessica robert sco
Thepotemich [5.8K]
Name  Score
Julia      650
Andrew 550
Jason    380
Cathy    720
Jessica 710
Robert   550

Point estimate for the mean score:
Sample mean = sum of all observations / number of observations

sample mean = (650+550+380+720+710+550) / 6
sample mean = 3560 / 6 
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The point estimate for the mean score is 593.33
6 0
3 years ago
13-8+3 evaluate using the Order of Operation
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You would just subtract/add like you normally would from left to right because its a subtract and add operation.

Hope that helps :)

6 0
3 years ago
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