A sector with arc measure 72º has an
area of 80 square feet. Determine
the radius of the circle.
A 18 ft
C 12 ft
B 20 ft
D 16ft

Answers

Answer 1

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's find the Radius ~

[tex]\qquad \sf  \dashrightarrow \: area = \frac{ \theta}{360} \times \pi {r}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 80= \frac{ 72}{360} \times \pi {r}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: {r}^{2} = \frac{80 \times 360}{72 \times \pi} [/tex]

[tex]\qquad \sf  \dashrightarrow \: {r}^{2} = \frac{80 \times 5}{ \pi} [/tex]

[tex]\qquad \sf  \dashrightarrow \: {r}^{} = \sqrt\frac{400}{ \pi} [/tex]

[tex]\qquad \sf  \dashrightarrow \:r = \frac{20}{ \sqrt{\pi} } [/tex]

or

[tex]\qquad \sf  \dashrightarrow \:r \approx 11.28 \: ft[/tex]

I hope you understood the whole procedure, let me know if you have doubts ~

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖


Related Questions

All right answers = 20 points
Pls help

Answers

1. y= 5x -10
2. y= -5x + 10
3. y= -7x +4
4. y= 0x + 4
5. y= 9x + 0
6. y= 0x + 8
7. y= 7x -2
8. y= 0x + 7
9. y= 0x - 6
10. y= -6x +0

What is the following sum? 4 (RootIndex 5 StartRoot x squared y EndRoot) 3 (RootIndex 5 StartRoot x squared y EndRoot).

Answers

The sum of the given data will be 7 ⁵√x²y. The result or answer we obtain when we count two or more digits or terms is known as a sum.

What is the sum?

The result or response we obtain when we add two or more numbers or terms is known as a sum.

The given terms will be

[tex]\rm x= 4\sqrt[5]{x^2y} \\\\ \rm y= 3\sqrt[5]{x^2y}[/tex]

The sum is found as;

S= x+y

[tex]\rm S=\rm 4\sqrt[5]{x^2y} + 3\sqrt[5]{x^2y} \\\\ \rm S=\sqrt[5]{x^2y} (4+3) \\\\ \rm S=7\sqrt[5]{x^2y}[/tex]

Hence the sum of the given data will be 7 ⁵√x²y.

To learn more about the sum refer to the link;

https://brainly.com/question/13013054

Answer:

Its C

Step-by-step explanation:

TRUST>>>

Write the name of the multiplication property that is being represented 8x(9-4) = (8x9)-(8x4) pleasee help

Answers

Answer:

The distributive property

Step-by-step explanation:

passes through (-2, 1) and (2, -5)
I need to find the y=mx+b

Answers

Answer:

[tex]y = (-3/2)\, x + (-2)[/tex].

Step-by-step explanation:

If [tex](x_{0},\, y_{0})[/tex] is on the equation of the line [tex]y = m\, x + b[/tex], then substituting [tex]x = x_{0}[/tex] and [tex]y = y_{0}[/tex] into the equation would still give an equality: [tex]y_{0} = m\, x_{0} + b[/tex].

In this question, since [tex](-2,\, 1)[/tex] is a point on the line [tex]y = m\, x + b[/tex], equality shall still hold after substituting in [tex]x = (-2)[/tex] and [tex]y = 1[/tex]:

[tex]1 = m\times (-2) + b[/tex].

Similarly, since [tex](2,\, -5)[/tex] is a point on this line, equality shall still hold after substituting in [tex]x = 2[/tex] and [tex]y = (-5)[/tex]:

[tex](-5) = m\times 2 + b[/tex].

The unknowns of both equations are [tex]m[/tex] and [tex]b[/tex].

Solve this system of two equations and two unknowns:

[tex]\left\lbrace\begin{aligned}& (-2)\, m + b = 1\\ & 2\, m + b = (-5)\end{aligned}\right.[/tex].

[tex]\left\lbrace\begin{aligned}& m = -\frac{3}{2} \\ & b = -2\end{aligned}\right.[/tex].

Therefore, the equation of this line would be:

[tex]y = (-3/2)\, x + (-2)[/tex].

Sue is touring San Francisco with her family. They want to visit the Golden Gate Bridge, Alcatraz, and Chinatown before their dinner reservations at 7:30 P.M. They want to spend 45 minutes at the Golden Gate Bridge, 2 hours and 30 minutes on the tour of Alcatraz, and 1 hour and 15 minutes in Chinatown. What is the latest time Sue's family can start their tour of San Francisco and still make it to dinner on time?
please help n explain ily

Answers

Answer:

3pm

Step-by-step explanation:

so for this you want to work backwards, starting at 7:30pm because that's when they have dinner.

how i would solve this is I would add up all the amount of time they want to tour around San francisco

so 45 + 1hr15mins = 2hrs

2hrs +2hrs30mins= 4hrs30mins

so starting at 7:30 take away 4hrs 30mins

7:30 - 4hrs = 3:30pm

3:30 - 30 minutes = 3pm

They must start their tour at 3pm.

hope that helps :)

Answer:

The latest time Sue's family can start their tour but still make it home for dinner would be:
3:00 p.m




Step-by-step explanation:

Starting at 7:30pm because that's when they have dinner:
45min. + 1hr & 15mins = 2hours

2hours + 2hours & 30mins= 4hours & 30mins



Starting at 7:30 take away 4hrs 30mins:

7:30p.m - 4hrs = 3:30p.m

3:30 - 30 minutes = 3:00p.m

In conclusion, they must start their tour at 3:00 p.m to be able to reach dinner by 7:30 p.m (which is the latest time).




Have a great rest of your day
#TheWizzer

In exercises, 4 and 5, find the unknown or marked angles. ​

Answers

Answer:

alternate angle and counter

which expression is a perfect cube?

Answers

Answer:

it is option b

Step-by-step explanation:

Pls do let me know in the comments for complete explanation

Find the area of the figure two red triangles

Answers

I need to see some picture or whatever the problem is

somebody help me with this!


i haven't done this in a while, so i forgot how to do it

Answers

Step-by-step explanation:

x+48=180

x=180-48

x=132

have a good day

Answer:

x = 132°

Step-by-step explanation:

The exterior angle is equal to the sum of two opposite interior angles.

d = a + b, where d is the exterior angle, a and b are the two opposite interior angles.

d = 60 + 72

d = 132°

1 > -1/2x + 5 solve for x

Answers

Answer:

x is greater than 8

Step-by-step explanation:

What quantative measures describe a variation in a set

Answers

Answer:

This would be the range, the interquartile range, the variance, and finally the standard deviation.

Step-by-step explanation:

Hope this helps you, please mark as brainlest.

A pet store has 5 tanks of fish. Each tank has 30 fish. How many fish does the store have?

Answers

Answer:

30 fish

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

5 tanks with 30 fish each so 5x30

5x30=150

Lukas plotted these points on the number line.

Point A: −12
3

Point B: −2
3

Point C: −11
3

Point D: −22
3

Which point did he plot incorrectly?

Point
Please mark BRAINLIEST

Answers

Answer: Point A: −12 3

explanation: I hope that helps

HELPPPP URGNT!!!!!!!

Answers

The answer is x:8

Solution

Kite formula : 1/2(d1 x d2)

D1=15
D2=x

60=1/2 x15 x x
X=60x2/15
X= 4 x2
X=8

Do you have any doubt?

Find the solution to the equation:
f(x)=x^2-4x+3
Please show work!

Answers

Answer:

two solutions

x = 1, 3

Explanation:

[tex]\sf f(x)=x^2-4x+3[/tex]

[tex]\rightarrow \sf x^2-4x+3=0[/tex]

[tex]\rightarrow \sf x^2-3x-x+3=0[/tex]

[tex]\rightarrow \sf x(x-3)-1(x-3)=0[/tex]

[tex]\rightarrow \sf (x-1)(x-3)=0[/tex]

[tex]\rightarrow \sf x-1=0, \ x-3=0[/tex]

[tex]\rightarrow \sf x=1, \ x=3[/tex]

Thus, there are two solutions and the values are 1 and 3

Let's see

[tex]\\ \rm\rightarrowtail f(x)=0[/tex]

[tex]\\ \rm\rightarrowtail x^2-4x+3=0[/tex]

[tex]\\ \rm\rightarrowtail x^2-3x-x+3=0[/tex]

[tex]\\ \rm\rightarrowtail x(x-3)-1(x-3)=0[/tex]

[tex]\\ \rm\rightarrowtail (x-1)(x-3)=0[/tex]

[tex]\\ \rm\rightarrowtail x=1,3[/tex]

10 points !!!!!!!!!!!!

Answers

Step-by-step explanation:

the numbers are a bit cut off at the top.

do I understand it correctly that the question is when the balloon loses 6/8 of a cubic foot of air ?

if so, I need to point out that the balloon loses 1/8 of a cubic foot per day.

so, how many days until it loses 6/8 if a cubic foot ?

well, 6 times that of 1/8 of a cubic foot = 6 days.

Select the correct answer. Sharla wanted to know how many minutes per hour a radio station typically plays music. She collected the following data from seven radio stations. 30 , 31 , 37 , 36 , 31 , 35 , 34 By how many minutes would her median time change if she added another radio station playing 37 minutes? A. the median did not change B. 0.5 C. 0.4 D. 0.45

Answers

Answer:

D. 0.45

Step-by-step explanation:

Median is everything added up, then divide by the amount of numbers you have.

30+31+37+36+31+35+34=234

then divide by 7 and you get 33.42

30+31+37+36+31+35+34+37=271

then divide by 8 and you get 33.87

33.87 and 33.42 have a difference of 0.45

If the sequence 2, 4, 6, 10, 16, ... were to follow the same pattern as the Fibonacci sequence, what are the next three terms?

A. 18, 22, 24
B. 26, 30, 36
C. 26, 42, 68
D. 26, 42, 66

Answers

Answer:

10 + 16 = 26

16 + 26 = 42

26 + 42 = 68

(C) the next three terms are 26, 42, 68

Sam had some money in his pocket, and he found another $6.50 in his dresser drawer. he then had a total of $19.75. let p represent the amount of money sam had in his pocket. which equation can you use to find the amount of money sam had in his pocket? how much money did sam have in his pocket?

Answers

Answer:

13.25$

Step-by-step explanation:

p+6.50=19.75

substract 6.50 on both side : p=13.25$

The total amount of money sam had in his pocket is $13.25.

What is a linear equation?

A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form Ax + B = 0.

Sam had some money in his pocket, and he found another $6.50 in his dresser drawer. The total amount sam had was $19.75.

Here, let p represent the amount of money sam had in his pocket.

The equation formed

p + $6.50 = $19.75

p = $19.75 - $6.50

p = $13.25

Therefore, the total amount of money sam had in his pocket is $13.25.

Learn more about linear equations here:

https://brainly.com/question/11897796

Is my answer correct?

Answers

Answer: yes there are just delete the last one and replace it with the sixth one start from the start also does this happen to be K12 7th grade?

Step-by-step explanation:

If it is now two o'clock, how many hours later will be the first hour between the arrows of the clock is 90 degrees

Answers

Answer: 4 o clock

Step-by-step explanation:

Answer:

5 o' clock

Step-by-step explanation:

The angle between the hands of a clock on an hourly basis is 30°

thus for the hands to be 90° apart would be 3 hours

then 2 o' clock + 3 hours = 5 o' clock

Kyle has a storage box that is 2 ft. Long, 3 ft. High, and has a volume of 12 ft. 3. Myla has a storage box that is 4 ft. High, 2 ft. Long, and has a volume of 16 ft. 3. What are the widths of Kyle and Myla's boxes? Explain how you know.

Answers

The widths of Kyle's and Myla's boxes for the considered case are obtained as: width of Kyle's box = 2 ft, width of Myle's box = 2 ft

How to find the volume of a right rectangular prism?

Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:

[tex]V = a\times b \times c \: \: unit^3[/tex]

A storage box oftenly has the shape of a right rectangular prism.

We're specified that:

For Kyle's box:

Volume of the box = 12 cubic ftLength of the box = 2 ftHeight of the box = 3 ftWidth of the box = x ft (suppose)

For Myla's box:

Volume of the box = 16 cubic ftLength of the box = 4 ftHeight of the box = 2 ftWidth of the box = y ft (suppose)

Using the formula for volume of right rectangular prism to find the missing widths:

Case 1: For Kyle's box:

[tex]12 = 2 \times 3 \times x\\12 = 6 \times x\\\text{Dividing both the sides by 6}\\2= x\\x = 2 \: \rm ft[/tex]

Case 2: For Myla's box:

[tex]16 = 4 \times 2 \times y\\16 = 8 \times x\\\text{Dividing both the sides by 8}\\2= y\\y = 2 \: \rm ft[/tex]

Thus, the widths of Kyle's and Myla's boxes for the considered case are obtained as: width of Kyle's box = 2 ft, width of Myle's box = 2 ft

Learn more about volume of a right rectangular prism here:

https://brainly.com/question/21308574

How much longer is a 1in button then a 3/4in button

Answers

Answer:

1/4

Step-by-step explanation:

4/4-3/4=1/4

If ∠QSR≅∠QST and QT=65, what is QR?

Answers

Answer:

it would also be 65 degrees because the angles match up and because the statement says that both angles are congruent.

Answer:

QR would equal 65

Step-by-step explanation:

It is 65 because if you look at QSR = QST, this tells you that QT and QR are equal to eachother. :)

Hope this helps!!

Have a wonderful day!!

Please rate and mark brainliest!!

A line segment has endpoints at (2, 10) and (18, -18). What is the approximate length of the segment?

Answers

Answer:

  32.2 units

Step-by-step explanation:

The length of a line segment can be found from its endpoint coordinates using the distance formula.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((18 -2)² +(-18 -10)²) = √(16² +(-28)²) = √1040

  d ≈ 32.2

The line segment is about 32.2 units long.

The approximate length of the segment is 32.25 units if the line segment has endpoints at (2, 10) and (18, -18).

What is a distance formula?

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

We have two points (2, 10) and (18, -18)

From the distance formula:

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

[tex]\rm d= \sqrt{(18-2)^2+(-18-10)^2}[/tex]

[tex]\rm d= \sqrt{(16)^2+(-28)^2} \\\\\rm d= \sqrt{(256+784)\\[/tex]

[tex]\rm d =\sqrt{1040} \\\\d = 32.249[/tex] units  or

d = 32.25 units

Thus, the approximate length of the segment is 32.25 units if the line segment has endpoints at (2, 10) and (18, -18).

Learn more about the distance formula here:

brainly.com/question/18296211

#SPJ4

what is the median of the data set below? 45 57 41 67 33 43 A.41 B.44 C.54 D.67

Answers

Answer:

41

Step-by-step explanation:

The middle number is the median

you answer is 44 because you have to put all the numbers in order from least to greatest then cross off the same amount from each side until you get to the middle number.

What is 7 / 27 as a decimal rounded to 3 decimal places?

Answers

0.259 is the answer:)

Answer:

0.259

Step-by-step explanation:

7/27 = 0.25925926

Rounded to 3 decimal places = 0.259

hope this helps!! p.s. i really need brainliest :)

Given similar terms, solve for the missing variables (x)

Answers

Answer:

x=10

Step-by-step explanation:

the image above shows the work to solve the equation

Help!!!!! This is i-ready !!! Will mark brainiest please help!!!!

Answers

Answer:

I think answer C

Step-by-step explanation:

You can display how many toothbrushes were distributed each month on the dot plot :)

Have an amazing day!!

Please rate and mark brainliest!!

Given the following geometric sequence, find the 12th term: {2, -4, 8, ...}.

-4096
2048
4096
-2048

Answers

A geometric sequence has a common ratio.

The formula for the nth term is

[tex]\sf{a_n =ar^{n-1} }[/tex]

where,

an = nth term of the sequence,a = first term of the sequence and r = common ratio

Given -

A geometric sequence 2, -4, 8, ...

To find -

the 12th term of the given geometric sequence

Solution -

A.T.Q, a = 2 and r = -2

[tex]\rightarrow\sf{a_{12} =2(-2)^{12-1} }[/tex]

[tex]\rightarrow\sf{a_{12 }=2(-2)^{11} }[/tex]

[tex]\rightarrow\sf{a_{12} =2×(-2048) }[/tex]

[tex]\rightarrow\bf{a_{12 }=-4096 }[/tex]

Hence, the 12th term is -4096.

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