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klio [65]
3 years ago
13

The radius of a circle is increased by 3 in., which increases the area by 100 in. Find the radius of the original circle. Round

to the nearest hundredth.
Mathematics
1 answer:
Licemer1 [7]3 years ago
6 0

Answer:

3.81 inches

Step-by-step explanation:

πr² + 100 = π(r+3)²

divide by π and simplify:

r² + (100/π) = r² + 6r + 9

100/π = r² + 6r + 9

31.8309886184 - 9 = r² +6r

r² = 6r - 22.8309886184

0 = 6r - 22.8309886184

22.8309886184 = 6r

divide by 6:

3.80516476973 ≈ 3.81 inches

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<img src="https://tex.z-dn.net/?f=25.643%20-%2018.21%20%3D%20" id="TexFormula1" title="25.643 - 18.21 = " alt="25.643 - 18.21 =
Aleksandr-060686 [28]

Answer:

The answer is 7.433

Step-by-step explanation:

Bc:

  25.643  the 5 turned to 15, and the 2 is a 1.

-   18.210

    7.433

Hope my answer has helped you, if not i'm sorry.

7 0
4 years ago
Read 2 more answers
Solve the equation <br> -2(2x+3)+11=11-3x
Nadusha1986 [10]

First, distribute -2 to all terms within the parenthesis

-2(2x) = -4x

-2(3) = -6

-4x - 6 + 11 = 11 - 3x

SImplify. Combine like terms

-4x (-6 + 11) = 11 - 3x

-4x + 5 = 11 - 3x

Isolate the x. Add 3x to both sides, and subtract 5 from both sides

-4x (+3x) + 5 (-5) = 11 (-5) - 3x (+ 3x)

-4x + 3x = 11 - 5

Simplify

-x = 6

Isolate the x. Divide -1 from both sides

-x/-1 = 6/-1

x = -6

-6 is your answer

hope this helps

7 0
3 years ago
Cans of regular Coke are labeled as containing 12 oz. Statistics students weighted the content of 5 randomly chosen cans, and fo
marishachu [46]

Answer: 0.0078

Step-by-step explanation:

We assume that cans of Coke are filled so that the actual amounts are normally distributed with a mean of 12.00 oz and a standard deviation of 0.12 oz.

As per given , we have

\mu=12.00\ oz  and \sigma=0.12\ oz

Sample size : n= 5

Let \overline{X} be the sample mean amount of coke in can.

Then, the  probability that a sample of 5 cans will have a mean amount of at least 12.13 oz will be :_

P(\overline{x}\geq12.13)=1-P(\overline{x}

=1-P(z

= 1-0.9922=0.0078  [By using z-table]

Hence, the required probability = 0.0078

6 0
3 years ago
Luke buys a certain brand of cereal that costs $11 per box. Luke changes to a super-saving brand of the same size. The equation
marishachu [46]
Y = 9x means each box of the new brand is $9. 

<span>So the old brand is $2 per box more. I know you </span>

<span>can do part B now!
 Hope that helps!!!!!!!!!</span>
8 0
3 years ago
Read 2 more answers
Identify how the graph is shifted from that of the parent function.
Semenov [28]

Answer:

4 units left

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
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