The circumference of a circular painting is 59.66 feet. What is the radius of the painting? Use 3.14 for π and do not round your answer.​

Answers

Answer 1

Answer:

9.5 feet

Step-by-step explanation:

So let's review the equations we need to know.

Circumference= π x d or π x 2r

Since we are solving for r, let's stick with the 2nd one.

Next, plug in the values.

59.66=3.14 x 2r

simplify.

59.66=6.28r

9.5=r

done!

the radius is 9.5 feet!


Related Questions



Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(3,−2), B(6, -2), C(6, 5) D(3,5). What is the area of this rectangle

Answers

Answer:

Step-by-step explanation:

[tex]Distance=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}} \\[/tex]

A(3,-2) ;  B(6,-2)

[tex]AB=\sqrt{(6-3)^{2}+(-2-[-2])^{2}}\\\\ =\sqrt{3^{2}+(-2+2)^{2}}\\\\=\sqrt{9+0}=\sqrt{9}\\\\[/tex]

AB = 3 units

B(6,-2) ;  C(6,5)

[tex]BC=\sqrt{(6-6)^{2}+(5-[-2])^{2}} \\\\=\sqrt{0+(5+2)^{2}}\\\\=\sqrt{(7)^{2}}\\[/tex]

BC = 7 units

Area of rectangle = length * width

                             = AB * BC

                             = 3 * 7

                             = 21 square units

The answer is 72,14 step by step answer and equation

This Venn diagram has three regions.

In which region does any rhombus belong?

A

B

C

Answers

Answer:

um idk- if I got this right but I got B or C...

Answer:

A

Step-by-step explanation:

A rhombus is made up of 4 sides of equal length.

Also my sis took the quiz and that was the answer.

HOPE THIS HELPS!

and sorry I'm late

Josiah takes a multiple-choice quiz that has three questions. Each question has five answer options. If he randomly chooses his answers, what is the probability that he will get all three correct? (Please explain how you got the answer.)

Answers

Answer:The answer would be A. 1 1/5

Step-by-step explanation:

The answer would be A. 1 1/5

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

Hope this helps!

The answer is 1/125

Hope it helps!                                                                      

Need Help!
Find the distance between the pair of points: (2,0) and (6,-3)

Answers

Answer:

The distance between the pair of points is 5 units.

Step-by-step explanation:

The first thing we must know in order to solve this problem is the distance formula.

[tex]Distance(d)=\sqrt{(x_{2}-x_{1} )^2+(y_{2}-y_{1})^2}[/tex]

We will use the coordinate point (2,0) for our (x₂,x₁) and the coordinate point (6,-3) for our (y₂,y₁). Now, let's plug in these numbers into our formula.

[tex]d=\sqrt{(6-2)^2+(-3-0)^2}[/tex]

[tex]d=\sqrt{(4)^2+(-3)^2}[/tex]

[tex]d=\sqrt{16+9}[/tex]

[tex]d=\sqrt{25}[/tex]

[tex]d=5[/tex]

So, the distance between the two given points is 5 units.

PLEASE HELP ME ON THIS !!!!!!!!!!!!!!!!!

Answers

Answer:

I don't know what the answer is but i'm going to try and work it out, hold on one min

Step-by-step explanation:

WILL MARK BRAINLIEST!!!!! ANSWER QUICK

What is the volume of the container below?

Answers

the answer to this question is the third one, 1,584in

Answer:

1,584in

Step-by-step explanation:

answer for me the question is in the pic

Answers

Step-by-step explanation:

This isn't a function. In the second quadrant there are two y-values for the x value of -2. Your answer is B.

Answer:

B


Parallelogram ABCD is rotated 45° counterclockwise using the origin as the center of rotation
-5
A
4
3
D
2 3
С
Which graph shows the image of ABCD?​

Answers

Graph A

I just took the quiz on edge

The graph that shows the image of ABCD is graph A. which shows that   On a coordinate plane, parallelogram A'B'C'D' has points (-2, 5), (0, 3), (0, -1.2), (-2, 1)

What is a parallelograms?

A parallelogram is known to be a kind of quadrilateral angles that is known to have two pairs of parallel sides.

When you look at the options, None of them are not good matches to the real coordinates. When you round up to tenths, they should be:

 A'(-2.1, 5.0), B'(0, 2.8), C'(0, -1.4), D'(-2.1, 0.7)

Therefore, the  closest match is graph A.

See full question below

Parallelogram ABCD is rotated 45° counterclockwise using the origin as the center of rotation. On a coordinate plane, parallelogram A B C D has points (2, 5), (2, 2), (negative 1, negative 1), (negative 1, 2). Which graph shows the image of ABCD? On a coordinate plane, parallelogram A prime B prime C prime D prime has points (negative 2, 5), (0, 3), (0, negative 1.2), (negative 2, 1). On a coordinate plane, parallelogram A prime B prime C prime D prime has points (negative 2, 5), (negative 2, 1), (0, negative 1), (0, 3). On a coordinate plane, parallelogram A prime B prime C prime D prime has points (5, 2), (3, 0), (negative 1.5, 0), (0.5, 2). On a coordinate plane, parallelogram A prime B prime C prime D prime has points (5, 2), (1, 2), (negative 1.5, 0), (2.8, 0).

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A student timed his drive to work each day for three days. The times are shown below:
20 minutes
22 minutes
18 minutes
What was his mean time?

Answers

Answer:

20 minutes

Step-by-step explanation:

The mean, or average of a data set can be found by adding all the values together, and dividing by the number of values.

The data set is: 20 minutes, 22 minutes and 18 minutes

1. Add the values together

Add all the numbers in the set together.

Data set: 20, 22, 18

Add them: 20+22+18

60

2. Divide by the number of values

Count how many numbers are in the set.

In this set, there are 3 numbers.

Divide 60 by 3

60/3 =20

20 minutes

His mean time is 20 minutes.

Answer:

30 minutes

Step-by-step explanation:

Mean means the average so the average equals (20+22+18)/2

= 30

A carbon nanotube is a thin cylinder of carbon atoms that, pound by pound, is stronger than steel and may one day be used in clothing. With a diameter of 4.0×10^-10 in., a fiber can be made 300yd long. Find the volume of such a fiber.

Answers

Answer:

Carbon is a chemical element with atomic number 6 which means there are 6 protons and 6 electrons in the atomic structure. The chemical symbol for Carbon is C. It is nonmetallic and tetravalent—making four electrons available to form covalent chemical bonds. Carbon is one of the few elements known since antiquity.

Step-by-step explanation:

See attachment below.
Step - by - step work!

Answers

Answer:

j=c+7

Step-by-step explanation:

If we observe the table we can see that whatever Chris's age is, Jerry's age is 7 years more than that.

we can put c as Chris's age and j as Jerry's age

with this the equation we would get would be

j=c+7

hope i helped!

What he said j = c + 7

What is the perimeter of triangle PQR?

Answers

Answer:

Perimeter ⇒ 33 ( units )

Step-by-step explanation:

As you can see, the points share a common y - value, so that they should be positioned with a horizontal distance among them;

[tex]Distance Among Points ( - 9, - 2 ), and ( - 2, - 2 ) , 9 + 2 = 11 units difference,\\[/tex]

Now if the difference is 11 units, we can determine the perimeter of this equilateral Δ assuming the sides are of equal length ( ≅ ) knowing that they do ∈ to an equilateral Δ;

[tex]Side 1 Length - 11 units,\\Side 2 Length - 11 units,\\Side 3 Length - 11 units,\\\\Perimeter = 11 * 3 = 33 units,\\\\Perimeter of Triangle PQR = 33 ( units )[/tex]

Solution; Perimeter ⇒ 33 ( units )

Answer:

33

Step-by-step explanation:

The tens digit is three less than the units digit. If the digits are reversed, the sum of the reversed number and the original number is 121. Find the original number.
help!!!!!

Answers

Answer: 47, 74

Step-by-step explanation:

Let x = units digit

x – 3 = tens digit

Then the number is 10(x – 3) + x and the reversed number is 10(x) + (x – 3)

Equation

The reversed number plus the original number equal 121.

10(x) + (x – 3) + 10(x – 3) + x = 154

10x + x – 3 + 10x -30 + x = 121

22x – 33 = 121

22x = 154

x = 7 (units digit)

x – 3 = 4 (tens digit)

Answer

The number is (4 X 10) +7 or 47.

A coin is tossed 12 times. What is the probability of getting heads exactly 7 times?

Answers

Answer:

17% maybe

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINLIEST !!!!!!! 28 pts


The price of the box of 10 markers is $7. The price of the box of 24 markers is $14. All prices without tax and the price of the boxes are the same.


Part A:

Write an equation that tells the price Y for the number of markers X.


Part B:

How much would a box of 64 markers cost?

Answers

Answer:

It costs $34 to buy a box of 64 markers.

Step-by-step explanation:

Check whether we are working with a direct proportion, in which case the comparison between the price and the number of markers would be the same.

$ 14  ÷  24  =  $0.58   and   $ 7 ÷  10  =  $ 0.70

The prices differ, so they are not directly proportional.

The reason is that both prices include the price of the box, which is the same. This can be thought of as the constant.

If you were to draw a graph of price (on the  y -axis) and number of markers (on the  x -axis) you would get a straight line where the  

y -intercept would be the price of the box and the slope would be the price of a marker. (rate of change of price)

Let's find the slope.

m = (y _2 − y _1 /x _2 − x _1)

m  =  ($14 −$ 7 /24− 10)  =  ($ 7 /14  markers)  =  $ 0.50 / marker

Therefore each marker costs  

$ 0.50  or  50 c

the price of  64  markers is:

64  ×  0.5 =  $ 32.00  ←  this is just the markers,

How much does the box cost? Consider  

$ 7  for  10  markers at  $ 0.50  each

$ 7  −  10  ×  $ 0.50  =  $ 7 −  $ 5  =  $ 2

The box itself costs  $2

The total cost of  64 markers in a box would be:

$ 2  +  $ 32 =  34#

Peter's bank offered him a 4.85% interest rate for his mortgage. If he
purchases 3 points, what will be his new rate?
A. 0.375%
B. 1.75%
C. 4.475%
D. 4.575%

Answers

Answer:

C

Step-by-step explanation:

The new rate would be 3.75% when Peter's bank offered him a 4.85% interest rate for his mortgage. If he purchases 3 points.

What is mortgage?

A mortgage is an agreement between you and a lender that gives the lender the right to take your property if you fail to repay the money you've borrowed plus interest.

Mortgage loans are used to buy a home or to borrow money against the value of a home you already own.

Purchasing a point simply implies negotiating for a lower rate of interest, which involves paying 1% of the loan in lieu of 1% interest reduction.

A point implies a reduction in interest rate by 0.25% while 3 points would reduce the interest rate by 0.75%(0.25%*3)

New interest rate=4.5%-0.75%=3.75%

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Donna opens a savings account with an initial balance of $50. She then deposits $25 each month. Use an equation, a table, and a graph to explain the relationship between the amount of money in the account, a, and the number of months since Donna opened the account, m. Part A Write an equation to represent the problem. Explain how the value of a changes as m increases. Part B Make a table to show the relationship between m and a. Find 5 ordered pairs. Part C Use your table from Part B to draw a graph to represent the situation.

Answers

Answer:

Below :)

Step-by-step explanation:

Part A) 50+25m=a

You start with 50 dollars in the account, so, that means 50+25m (m being the amount of months) would you should you how much money you have, a.

Part B)

See picture

In triangle ABC, ∠C is a right angle and BC=7. If ∠b=30 degrees, find AC.
A. 7/2
B. 7√3/3
C. 7√3/2
D. √3/7

Answers

Answer B

One thing that gave it away was that we are dealing with a 30-60-90 triangle so in the final equation we should have (x=Any number) [tex]x\sqrt{3}[/tex] not square root two

The triangle ABC with ∠C as right angle , BC = 7 and ∠b = 30 degrees has AC as 7√3 / 3

What is a right angle triangle?

A right angle triangle is a triangle that has one of its angle as 90 degrees. Therefore, the sides can be found using trigonometric ratios.

BC = 7 units

∠b = 30°

Hence, AC can be found as follows;

tan 30° = opposite / adjacent

tan 30 = AC / 7

cross multiply

AC = 7 tan 30

AC = 7 × 1 / √3

AC = 7 / √3

AC = 7√3 / 3

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Omar's credit card has an APR of 26% calculated on the previous monthly
balance. His credit card record for the last 7 months is shown in the table
below.
1
End of Previous
Month Balance
$0.00
2 $301.23
3 $254.41
4 $169.46
$191.45
6 $121.58
7 $195.55
New
Charges
$301.23
$266.65
$89.54
$198.32
$165.98
$211.34
$397.54
Payment
Received
$0.00
$320.00
$180.00
$180.00
$240.00
$140.00
$340.00
Finance
Charges
$0.00
$6.53
$5.51
$3.67
$4.15
$2.63
$4.24
Principal
Paid
$0.00
$313.47
$174.49
$176.33
$235.85
$137.37
$335.76
New
Balance
$301.23
$254.41
$169.46
$191.45
$121.58
$195.55
$257.33
On what amount of money will Omar be charged interest for month 8?
A. $257.33
B. S340.00
C. $195.55
D. $397. 54

Answers

Answer:

D. $397. 54

Step-by-step explanation:

Answer:

257.33

Step-by-step explanation:

Which type of statement has the form "If A, then B'?
O A. True
O B. Conditional
C. Deductive
O D. False

Answers

Answer:

B) Conditional

because it is a " if... then"

For a given rectangle the length equal 3x + 2 and the width equal 5 what is the area of the rectangle

Answers

Answer:

15x + 10.

Step-by-step explanation:

To find the area of a rectangle, recall the formula is A = l × w. Therefore:

A = (3x + 2) (5)

Distribute the '5':

A = 15x + 10

Therefore, the area of the rectangle of 15x + 10.

Answer:

15x+10 units ^2

Step-by-step explanation:

The area of a rectangle can be found using:

A = l * w

The length of the rectangle is 3x+2 and the width is 5.

l=3x+2

w=5

Substitute these values into the formula.

A= 3x+2 *5

This can be rewritten as: (Commutative property of Multiplication)

A= 5* 3x+2

A= 5(3x+2)

Distribute the 5. Multiply each term inside the parentheses by the number outside the parentheses.

A= (5*3x) + (5*2)

A= 15x +10

A= 15x+10 units^2

The area of the rectangle is 15x+10 square units.

Convert the angle \theta=\dfrac{8\pi}{9}θ=
9


theta, equals, start fraction, 8, pi, divided by, 9, end fraction radians to degrees.

Answers

Answer:

[tex]160^\circ[/tex] is the degrees value of [tex]\theta = \dfrac{8 \pi}{9}[/tex].

Step-by-step explanation:

We are given the following details about the angle [tex]\theta[/tex]:

[tex]\theta =\dfrac{8\pi}{9}\text{ radians}[/tex]

It is know that the relation between radians and degree units is as follows:

[tex]\pi \text{ radians} = 180 ^\circ[/tex]

We can use simply use unitary method to convert radian value of [tex]\theta[/tex] to degrees.

[tex]\pi \text{ radians} = 180 ^\circ[/tex]

[tex]\Rightarrow 1 \text { radian}= \dfrac{\pi}{180} ^\circ[/tex]

[tex]\Rightarrow \dfrac{8\pi}{9} \text{ radians} = \dfrac{180}{\pi} \times \dfrac{8\pi}{9} ^\circ\\\Rightarrow \dfrac{180 \times 8}{9}^\circ\\\Rightarrow 20 \times 8^\circ\\\Rightarrow 160 ^\circ[/tex]

Hence, [tex]\theta = 160^\circ[/tex]

PLEASE HELP ME THIS IS URGENT I AM BEING TIMED, IF YOU ANSWER THESE TWO QUESTIONS CORRECT I WILL MARK YOU BRAINLIEST!!!

Find the mean, median, and mode for each list of data. Write the mean, then the median, and then the mode. Separate your answers with a comma and a space.
Example: 1, 2, 3
The mean is 1, the median is 2, and the mode is 3.

1. 10, 17, 12, 10, 11

2. 8, 13, 17, 17, 19, 19, 19

Answers

Answer:

1. 10, 17, 12, 10, 11

The mean is 12, the median is 11, and the mode is 10.

2. 8, 13, 17, 17, 19, 19, 19

The mean is 16, the median is 17, and the mode is 19.

Plz help asap, dhhdudhdhd

Answers

Answer:

x=15°

Step-by-step explanation:

Angles ∠2 and ∠4 are supplementary, so ∠2+∠4=180°

That equals to 2x+10+4x+80=180.

You can solve that equation to find what x is equal to.

2x+10+4x+80=180

6x+90=180

6x=90

x=15°

The answer is not c​

Answers

Answer:

the answer is a. hope this working helps

The table shows the number of visitors y (in thousands of people) an amusement park has had each year over x years. Use a graphing calculator to find an equation of the line of best fit. Round the slope and y-intercept to the nearest hundredth. Then identify and interpret the correlation coefficient.

Answers

Answer:

The equation of the line of best fit is: y = -2.33x + 591.78

The correlation coefficient is: -0.99

There is a strong negative correlation

Step-by-step explanation:

The negative correlation is seen in the sign of the correlation coefficient, which is negative.

The correlation is strong because the absolute value of the correlation coefficient (0.99) is near to one

What is the Slope of the line through (-1,2) & (-3,-2)

I promise this isn't a test .-.​

Answers

Answer:

2

Step-by-step explanation:

We can find the slope of the line using

m = (y2-y1)/(x2-x1)

    = (-2-2)/(-3- -1)

   = -4/(-3+1)

    = -4/(-2)

     =2

What is the scale factor of the dilation?
2
3
1/2
1/3

Answers

I’m not sure of the answer but check Socratic


Find the center, radius, and intercepts of the circle given below and then sketch the graph of the circle.
x²+(y-1)^2=1

Answers

Answer:

Center (0, 1)

Radius 1

x-intercept (0, 0)

y-intercept (0, 0), (0, 2)

Step-by-step explanation:

(1) A circle that has center (a, b) and radius r can have the equation as below:

(x - a)^2 + (y - b)^2 = r^2

Re-write the original equation: x^2 + (y - 1)^2 = 1, we have:

(x - 0)^2 + (y - 1)^2 = 1^2

=> The center of this circle: (a, b) = (0, 1) and the radius r = 1

(2) To find out the x-intercept, we substitute y = 0 into original equation.

=> x^2 + (0 - 1)^2 = 1

=> x^2 + 1 = 1

=> x^2 = 0

=> x = 0

=> x-intercept (0, 0)

(3) To find out the y-intercept, we substitute x = 0 into original equation.

=> 0^2 + (y - 1)^2 = 1

=> (y - 1)^2 = 1

=> y - 1 = -1 or y - 1 = 1

=> y = 0 or y = 2

=> y-intercept (0, 0) and (0, 2)

Hope this helps!

An orchard has 672 pear trees. The number of rows exceeds the number of trees per row by 4. How many trees are there in each row?

Answers

There would be 168 rows
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