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.

Answers

Answer 1

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


Related Questions

Samantha bought a refrigerator that is 3 1/2 feet wide, 5 1/2 feet tall, and 2 1/2 feet deep. How much space will the new refrigerator occupy?

Answers

Answer:

48.125 ft³

Step-by-step explanation:

The space occupied by the new generator is the product of it's dimension:

The space occupied = Length * width * height

Space occupied = 3 1/2 * 5 1/2 * 2 1/2

Space occupied = 7/2 * 11/2 * 5/2

Space occupied = (7*11*5) / (2*2*2) = 385 / 8

Space occupied = 48.125 ft³

If the digit in the unit place of a number is either 2 or 8, the digit in unit place of its square will be??

Answers

Answer: the digit in unit place of its square will be 4

Step-by-step explanation: Reason: 2 squared is 4, and 8 squared is 64 and both of those end in 4.

the length of AC to the nearest hundredth is ____

Answers

4.5000000 I think this the answer

Answer:

5.41

Step-by-step explanation:

Find the number of sides of a regular polygon if one interior angle is 120 degrees A3 B4 C5 D6​

Answers

Answer:

n = 6

Step-by-step explanation

Number of sides = 360/Measure of exterior

Measure of exterior = 180 - interior angle

Exterior angle = 180 - 120

Exterior angle  = 60 degrees

Substitute into the formula

number of sides = 360/60

number of sides = 6

Hence the number of sides required is 6

. Find f(3) for the following function


[tex]f(x)=3(2)^x+6[/tex]

a.f(3) = 222
b.f(3) = 9
c.f(3) = 24
d.f(3) = 30

Answers

Answer:

[tex]\boxed {\boxed {\sf D. \ f(3)= 30}}[/tex]

Step-by-step explanation:

We are given the function:

[tex]f(x)= 3(2)^x+6[/tex]

We want to find f(3), so we must substitute 3 in for x.

[tex]f(3)= 3(2)^3+6[/tex]

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

Solve the exponent first.

2³= 2*2*2= 4*2= 8

[tex]f(3)= 3(8)+6[/tex]

Multiply 8 and 3.

[tex]f(3)= 24+6[/tex]

Add.

[tex]f(3)=30[/tex]

For the function given, f(3) is 30.

D is the correct answer

Please answer! You’ll get brainliest:)) please show your evidence! :)

Answers

. . . . . . . . . . .
. . . , . L , . . ?

Please help me , im so bad at this loll

Answers

Answer:

1st: 8

3rd:0.25

4th:19

5th:1

Step-by-step explanation:

25. Multi-A carpenter is making a tray to fit between two circular pillars in the shape of the shaded area as shown. She is using a jigsaw to cut along the edge of the tray. What is the length of the cut encompassing the tray? Round to the nearest half foot.

Answers

Answer:

21.5 feet.

Step-by-step explanation:

Calculate the length of a curved edge.

s =  

m

360

  · 2πr Use the formula for arc length.

=  

90

360

  · 2π(3) Substitute 3 for r and 90 for m.

= 1.5π Simplify.

Let t be the length of the cut encompassing the tray.

t = 2 · 1.5π + 2 · 6

= 3π + 12 Simplify.

≈ 21.5 ft Use a calculator to evaluate. Then round your answer to the nearest half foot.

The length of the cut encompassing the tray is 21.5 feet.

What is the leading coefficient of the polynomial?
5z^3 - 2z^4 -9z^2 + z

Answers

Answer:

- 2

Step-by-step explanation:

The polynomial expressed in standard form is

- 2[tex]z^{4}[/tex] + 5z³ - 9z² + z

The leading coefficient is the coefficient of the first term of the polynomial in standard form, that is

leading coefficient is - 2

3. How much money do you save when you buy a 340 video game that is on sale for 25%
off?

Answers

£/$340
25% is 1 over 4 and that gives us divide by 4
So what you want to do here is divide 340 by 4 which gives us £/$85
You save around 85 if I’m correct please tell me if I’m wrong :)

Answer:

$85 that's all or any other video game

Use the figure to complete the proportion.

Answers

Answer:

Pretty sure it's SQ.

Step-by-step explanation:

A curve along a highway is to be designed for cars moving at 100 kilometers per hour. Find the angle of banking if the radius of the curve is 200 m.​​

Answers

Answer:

hope this will help you

Step-by-step explanation:

.........

Given that p =5, q = 2, r=4
What is the value of 7r

Answers

Answer:

28

Step-by-step explanation:

if r=4 that means that 7r= 7×r is 28

Which expression is the factorization of x^2+10x+21?

Answers

Answer:

To factor a trinomial in the form Ax^2 + Bx + C when the A = 1.  You need to find the factors of C that when added or subtracted will give you B.  

Factors of 21 are either 1,21 or 3,7.  Since +3 and +7 will give you 10 then those will be the two factors you will use.

Factoring x^2+10x+21 will give you (x+3)(x+7)

Step-by-step explanation:

Answer:

(x+3)(x+7)

Step-by-step explanation:

To factor a trinomial in the form Ax^2 + Bx + C when the A = 1.  You need to find the factors of C that when added or subtracted will give you B.  

Factors of 21 are either 1,21 or 3,7.  Since +3 and +7 will give you 10 then those will be the two factors you will use.

Factoring x^2+10x+21 will give you (x+3)(x+7)

Help plssssssssssssssss question 13!!!!

Answers

It is 6
9-8=1+11=12-6=6

Answer:

13) 60

Step-by-step explanation:

13)

7*9 - 8 + 11 - 6               (Multiply 1st)

63 - 8 + 11 - 6                (Solve from left to right since it's addition/subtraction)

60

2. What is the rule for the function table?

Answers

Answer:

Subtract 2 from the term number

Step-by-step explanation:

Answer:

Add 2 to the term number

Step-by-step explanation:

Hope this helps :)

Please help me!!!!!

Answers

Step-by-step explanation:

ksjsnndnxjJaknsndjxnnskakxx

Which of the following expressions are equivalent to -4/7 - 8/9 + 4/7 + 9/8?

Answers

Answer:

C and D

Step-by-step explanation:

I'm too braindead to explain this, read comments

Answer:

-2 1/72

Step-by-step explanation:

Start by combining -4/7 and 4/7 to make 0, shortening your equation. Then continue by making the fractions remaining, 8/9 and -9/8, have a common denominator. To do this, we multiply -8/9 by 8, and -9/8 by 9. Then, we have -64/72 and -81/72. Then, we can combine the numerators of the fractions, as they have common denominators, and we get the fraction -145/72. We can then simplify this to -2 1/72.

Hope this helps!

10x - 12y = 22
5x - 6y = 11 elimanation

Answers

Answer:

This is an identity or infinite solutions

Step-by-step explanation:

10x - 12y = 22

5x - 6y = 11

-2(5x - 6y = 11 )

-10x + 12y = -22

10x - 12y = 22

0=0

Identity solution

Answer:

2(5x - 6y = 11)= 10x - 12y = 22 so they are the same equation

Step-by-step explanation:

Which measurements are less than 5 yards?

Answers

A. 178 inches
B. 14 feet

base = 5 ft Height= 3.5 ft what is the area

Answers

Answer:

the area is 17.5 ft if the shape is a square/rectangle

the area is 8.75 ft if the shape is a triangle

Step-by-step explanation:

The area would be 17.5ft because 5*3.5 is 17.5ft.

can someone pls help i’ll mark you brainliest pls pls pls it’s due in 10 min

Answers

Answer:

Step-by-step explanation:

1) r = 5mm; d = 10 mm

2) r = 6 cm; d = 12 cm

3) r = 9 m; d = 18 m

4) r = 8 km; d = 16 km

5) r = 11 m; d = 22 m

6) r = 15 mm; d = 30 mm

7) r = 13 km; d = 26 km

8) r = 7 cm; 14 cm

Someone help and plz make sure it’s right plz!!!!!

Answers

Answer:

its 5.1

Step-by-step explanation:

Jerry played with 333 friends today, all at different times. He played with Tommy for 1\dfrac{7}{8}1 8 7 ​ 1, start fraction, 7, divided by, 8, end fraction hours, then Nathan for 1\dfrac{3}{4}1 4 3 ​ 1, start fraction, 3, divided by, 4, end fraction hours, then Chris for \dfrac{3}{2} 2 3 ​ start fraction, 3, divided by, 2, end fraction hours. How many hours did Jerry play with his 333 friends today?

Answers

Answer:

8 1/8 hours

Step-by-step explanation:

Jerry played with 3 friends today, all at different times.

Tommy = 1 7/8 hours

Nathan = 1 3/4 hours

Chris = 3 3/2 hours

How many hours did Jerry play with his 3 friends today?

Number of hours Jerry play with his 3 friends today = 1 7/8 + 1 3/4 + 3 3/2

= 15/8 + 7/4 + 9/2

= (15+14+36)/8

= 65/8

= 8 1/8 hours

WILL GIVE BRAINLIEST!!! (look at photo if confused)

Match each pair of equivalent expressions on the left with the appropriate property on the right.

3(x multiplied 4) = (3x) x 4

4(x + 5) = 4x + 20

2 + 7x = 7x + 2

Properties

A. Commutative property
B. Associative property
C. Distributive property

Answers

Answer:

4(x + 5) = 4x + 20 is C

2 + 7x = 7x + 2 is A

3(x multiplied 4) = (3x) x 4 is B

Step-by-step explanation:

Answer:

give other person brainliest!!! this is his alt

Step-by-step explanation:


Someone help me plz what is the slope of the line?

Answers

The slope of this line is 2/1

Answer:

7/4

Step-by-step explanation:

I will use points (3, 4) and (-1, -3).

[tex]\frac{-3-4}{-1-3}=\frac{-7}{-4}= \boxed{\frac{7}{4}}[/tex]

Hope this helps.

6. What is the 40th term of the sequence
where the terms 1 through 3 are
12, 9, 6, ... ?
Use the formula, an = a1 + d(n-1).
1) 129
2) - 111
3) - 105
4) - 108

Answers

Answer:

3:-5

12+(-3)X39

12-117

-105

try to zoom in the picture if you can’t see the numbers , but can someone please help me with this ?

Answers

Step-by-step explanation:

This is my answer, if you need it

How does Naomi's solution compare with Peter's solution? Complete the statement.

Answers

Answer: first one is subtract by 7 and the second step is to divide by 10.

Step-by-step explanation:

hope it helped

Answer:

WHat he said ;D

GL <3

(it was correct if u wanna kno!)

GL AGAIN XD :D

divide 63 in the ratio 2:5​

Answers

Answer:

11.45 : 28.63

Step-by-step explanation:

6 + 5 = 11

63/11 = 5.72

x2=11.45

x5=28.63

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