in a circle, a 60 degree sector has an area of 25 pi square feet. what is the radius of the circle?

Answers

Answer 1

Answer:

r = 5√6 feets

Step-by-step explanation:

Angle = 60°

Area of a sector = ∅/360 × πr²

Area = 25πfeet²

25π = 60/360 × πr²

25π = ⅙ × πr²

25π × 6 = πr²

150π = πr²

π cancelled off......

r² = 150

r = √150

r = √(25 × 6)

r = 5√6 feets

OR

r = 12.2474

r ≈ 12.25 feets


Related Questions

Ms. Pierce likes to shop online. She placed 3 pairs of pants in her shopping basket that came to a subtotal of $301. What is her total bill if sales tax is 8.25%?

Answers

Answer:

$276.17

Step-by-step explanation:

8.25% of 301 is about 24.83.

301 - 24.83 = 276.17

hope this helps :)

1. The change in the population of fruit flies can be modeled by the equation f(t) = 3(1.50), where
t is time in days. Which statement describes the change in population of fruit flies?
a. 1.50% decrease daily
c. 50% increase daily
b. 1.50% increase daily
d. 50% decrease daily

Answers

The answer is c they increase daily

Solve for x.

-7.8(x+6.5)=-25.74

Answers

Answer:

-7.8(x+6.5)=-25.74

x+6.5 = 3.3

x=-3.2

Let me know if this helps!

x = -16}/5}= -3{1/5} = -3.2 hope this helps!!

Mike went on a vacation to ohio.When he went home the odemeter read 7,219.4 miles.When he returned home the odemeter read 8,192.6 miles.How many miles did mike travel?

Answers

Answer:

973.2 miles

Step-by-step explanation:

miles travelled = miles on the odemeter after the trip - miles on the odemeter before the trip

8192.6 - 7219.4 = 973.2

Write an equation of the line with a slope of -2/7 and a y-intercept of 5.

Answers

the formula is y=mx+b

mx is the slope and b is the y-intercept

y=-2/7+5

---

hope it helps

Find the inverse of the function
g(x)=2x+5
algebraically.

Answers

*g(x) = y*
2x + 5 = y
2x = y - 5
x = (y - 5)/2

*Inverse*
g^-1(x) = (x-5)/2

Fill in the blank to make this a Perfect Square Trinomial.

x^2 + ____ x + 9

Answers

the answer is 6, x^2+6x+9. If you factor, (x+3)(x+3), multiply out, x^2+3x+3x+9=X^2+6x+9

6y+12=24 turn this equation into standard form “y=Mx+b” I WILL MAKR BRAINLIEST!! 17 POINTS!!!!

Answers

Answer:

[tex]y=2[/tex]

Step-by-step explanation:

Standard form is y=mx+b, where m=slope and b=y-intercept

I really hope this helps :-)

[tex]-noorati[/tex]

can someone please help me​

Answers

Answer:

i think just 2

Step-by-step explanation:

Answer:

-x²-12x+6 is your answer

Plz help
What decimal is equivalent to 21/25

Answers

It’s not step by step on how to figure it out but 0.84 is equivalent to 21/25

Complete the equation of the line whose slope is -5/3
and y-intercept is (0, -2).

Answers

Answer:

these are tough,   it takes a lot of practice to get used to these, sooo

Step-by-step explanation:

we know the slope, m= -5/3,   and we're given a point so use the point slope formula

y= mx + b

the point we are given is in this form  (x,y)

then plug the information into our point slope formula

y = (-5/3) x  + (-2)

y = -5x/3 -2

What is the equation for the line that passes through (2,2) with a slope of -1

Answers

Answer:

y = -1x

Step-by-step explanation:

The slope-intercept equation is written y = mx + b. "y" stays the same. "m" is the slope. "x" stays the same. "b" is the y-intercept.

Hope it helps!

A season has96 home games. If you purchase a season ticket in the bleacher section, what is the cost per game,in dollars, for this ticket

Answers

Answer:

$8.4375 per game

Step-by-step explanation:

From. The picture attached :

Season long Ticket cost for the bleachers sitting area is : $810

Given that the number of home games in a season is 96

The cost per unit of game could be calculated as :

Cost of season long Ticket / number of home games

= $810 / 96

= $8.4375

$8.4375 per game

Peter represents the living room and kitchen of his house using the scale model shown below. One inch in the scale model corresponds to a
length of 10 feet in the actual room.
3 in
Living Room
Narrow Section
Kitchen
15 in
-2 in
What are the dimensions of the actual kitchen?

Answers

Answer:

15x20

Step-by-step explanation:

If you look closely in the question, it says one inch is 10 feet in the actual room. So what you would do is take the measurements and multiple by 10. All sides of the room are 3 inches but what the trick is, it asks you for the dimensions of the kitchen. So you would multiple 2x10 and 1.5 x 10 :)!

HELP I NEED AN ANSWER

Answers

Answer:

=230.5

Step-by-step explanation:

78.54 + 150 = 230.54

=230.5

For what value of k does the equation 6(x + 1) + 2 = 3(k5x + 1) + 3 have no solution?

Answers

Answer:

k = (6/15)

Step-by-step explanation:

The equation is:

6*(x + 1) + 2 = 3*(k*5*x + 1) + 3

To have no solutions, we need to have something like:

x + 7 = x + 4

where we can remove x in both sides and end with

7 = 4

So this equation is false, meaning that there is no value of x such that this equation is true, then the equation has no solutions.

First, let's try to simplify our equation:

6*(x + 1) + 2 = 3*(k*5*x + 1) + 3

6*x + 6 + 2 = 3*k*5*x + 3*1 + 3

6*x + 8 = 15*k*x + 6

if 15*k = 6, then the system clerly has no solution.

then:

k = 6/15

then we get:

6*x + 8 = (6/15)*15*x + 6

6*x + 8 = 6*x + 6

8 = 6

The system has no solutions.

The movie screen at the cinema is 70 feet long and 30 feet wide. What is the perimeter of the screen? A 200 feet B 140 feet © 60 feet D 2100 feet​

Answers

Answer:

Step-by-step explanation:

Perimeter = L1 + W1 + L2 + W2          L1 = L2 = L  = 70 ft       W1 = W2 = W = 30 ft

                 = L + W + L + W        

                 = 2L + 2W          

                 = 2(70) + 2(30)

                 = 140  +  60

                 = 200

Perimeter the movie screen  is 200 ft

help please I will give brainiest​

Answers

Answer:

30ft for the first and the second is 8ft

30 ft and 8 ft hope this helps

These figures are congruent. What series of transformations moves pentagon
ABCDE onto pentagon A'B'C'D'E'?
Note: Rotations are clockwise. Reflections are over the x- or y-axis.

Answers

Answer:

Step-by-step explanation:

A

Mark opens a bank account with $20. He plans to put in $5 each week.

Complete the table below to show the total amount of money Mark has in his bank account from 0 to 10 weeks.

Time
(weeks)
0
1
2
3
4
5
6
7
8
9
10
Money ($)
$20

Answers

Answer:$60 per week

Step-by-step explanation:

120+90+0+30+0+150+30=420

420/7= 60

Justin has 50. Pictures in his album

Answers

Answer:

im sorry i cant read that

Step-by-step explanation:

its to far away :(

3. If four times a number, increased by 5, is the same as three times a
number increased by 12, find the number,

Answers

Answer:

7

Step-by-step explanation:

Write the equation

4x+5=3x+12

Solve for x

4x-3x=12-5

x=7

can someone please help me with this asap due today 6th grade work

Answers

Answer:

19

Step-by-step explanation:

133 divided by 7 = 19

area of a parallelogram is just L x W so just divide to get the base.

Which expression represents the greatest factorization of 32w - 56xy

Answers

Answer:

Factor 8 out of 32w - 56xy

8 ( 4w - 7xy )

GCF of 32 and 56 is 8.

So we have 4(8w)-7(8xy)

---

sry if i didn't help

PLEASE HELP!
Find the surface area of the cylinder with diameter 20 in. and height 2 in. Use 3.14 for
pi.

Answers

Answer:

[tex]\boxed {\boxed {\sf SA= 753.6 \ in^2}}[/tex]

Step-by-step explanation:

The surface area of a cylinder is found using this formula.

[tex]SA=2 \pi rh+ 2 \pi r^2[/tex]

We know the diameter is 20 inches and the height is 2 inches. We must find the radius.

The radius is half the diameter. r= d/2 r= 20 in /2= 10 in

Now we know that:

[tex]r= 10 \ in \\h= 2 \ in[/tex]

Substitute the values into the formula. Also, plug 3.14 in for pi.

[tex]SA=2 (3.14)(10 \ in)(2 \ in)+ 2 (3.14)(10 \ in)^2[/tex]

Solve according to PEMDAS: parentheses, exponents, multiplication, division, addition, and subtraction.

Solve the exponent.

(10 in)²= 10 in * 10 in= 100 in²

[tex]SA=2 (3.14)(10 \ in)(2 \ in)+ 2 (3.14)(100 \ in^2)[/tex]

Multiply all the numbers together.

[tex]SA=2 (3.14)(20 \ in^2)+ 2 (3.14)(100 \ in^2)[/tex]

[tex]SA=125.6 \ in^2+628 \ in^2[/tex]

Add.

[tex]SA= 753.6 \ in^2[/tex]

The surface of the cylinder is 753.6 square inches.

should i add, multiply, subtract, or divide n+16=9

Answers

Answer:

subtract

Step-by-step explanation:

16 from 9

n = 9 - 16

n = -7

Using the values from the graph, compute the values for the terms given in the problem.



Age of car = 2 years.

Original cost = $19,500.

The current market value is $

.

Answers

Answer:

$9,750.00

Step-by-step explanation:

please answer dis question

Answers

Answer:

1

Step-by-step explanation:

A = 4

B = 5

Theres a 1 number diffrence.

(sorry if its wring its 12am im tired-

the question is in the picture below ​

Answers

Answer:

6061/3 in exact form

2020.3 in decimal form

2020 1/3 as a mixed number

Step-by-step explanation:

Answer:

the answer to the equation is 96

hope this is the answer you are looking for

Step-by-step explanation:

Please help me, its due in a few minutes. There are multiple slides!
Not trying to be picky but please answer all if able to!

Answers

Answer:b

Step-by-step explanation:

Answer:

1- B

2- D

3- ?

4- B

5- ?

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