Convert 400° to radians.
O 40π/9
O 8π/3
O 20π/9
O 23π/6​

Find the area of the circle:

Area = PI x r^2

Area = 3.14 x 9^2

Area = 3.14 x 81

Area = 254.34 square cm

Now multiply the area of the circle by the shaded portion which is the fraction of the degree over 360 degrees:

254.34 x 80/360 = 20,347.2/360 = 56.52

The shaded area is 56.52 square cm.

Area of circle formula: A = πr²

A = π(9)²

A = 81π

A = 254.34cm²

The ratio of degrees in the shaded region to total degrees in a circle:

80/360 = 40/180 = 20/90 = 10/45 = 2/9

Multiply:

254.34/1 * 2/9

508.68/9

56.52

Therefore, the area of the shaded region is 56.52cm²

Best of Luck!

Answer:

b) 8/40 = 1/5

The probability of the relative frequency for females in the age group 60-69 is 0.625.

We know that the probability of a function is the ratio of favorable cases to the total number of cases possible.

here we have to find the probability that a resident is female.

[tex]Probability=\frac{Total \ numbers \ of \females}{Total \ number \of people}[/tex]

here the total number of females are=19+2+4

                                                              =25

and the total number of males=1+9+5

                                                   =15

Hence, the total number of people=25+15=40

So Probability=25/40

                      =0.625

Hence option D is correct.

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Answer:

6a   +13

Step-by-step explanation:

(2a + 8) + (4a + 5)

Combine like terms

2a+4a   +8+5

6a   +13

Answer:

6a + 13

Step-by-step explanation:

1. simplify

(2a + 8) + (4a + 5)

2. Reorder the terms

(8 + 2a) + (4a + 5)

3. Remove parentheses

8 + 2a + 4a + 5

4. Combine like terms

8 + 5 = 13

2a + 4a = 6a

So, 6a + 13 is your answer.

Answer:

Step-by-step explanation:

I believe is D because you actually change the measure of two angles as long as the sum of them are 90.

The correct question is;

The function f(x) = (7^x) + 1 is transformed to function g through a horizontal compression by a factor of 1/3.What is the equation of function g?

Substitute a numerical value for k into the function equation.

g(x) = 7^(kx)

Answer:

Value of k = 1/3 if the function is compressed by compression factor of 1/3.

Step-by-step explanation:

In transformations, the horizontal stretch or compression for a function f(x) is given by  g = f(bx) where:

b is a constant.

If b > 0, then the graph of function is compressed.

Now, from the question, we are told that the function is transformed by a compression factor of 1/3.

Function is;f(x) = (7^x) + 1

In transforming to g = f(bx), we have;

g = (7^(x/3)) + 1

Since, we want to find k from the format g = 7^(kx)

Comparing with g = (7^(x/3)) + 1, we cans see that ; k = 1/3

The function g(x) is,  [tex]g(x)=7(\frac{1}{3}x )+1[/tex]

The value of k is [tex]\frac{1}{3}[/tex]

To understand more, check below explanation.

The given function is,

                      [tex]f(x)=7x+1[/tex]

We have to find function g(x) from f(x) after compression by a factor of 1/3.

To find g(x), replace x by [tex]\frac{1}{3}x[/tex].

           [tex]g(x)=7(\frac{1}{3}x )+1\\\\g(x)=\frac{7}{3}x+1[/tex]

Thus, the value of k is [tex]\frac{1}{3}[/tex]

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Answer: A triangle is normally the base of a triangular prism. A rectangle is a lateral face of the prism.

Step-by-step explanation:

(D, G and c in the question are unclear.)

Answer:

polygon face - DFG ;; lateral face - DFBA

Step-by-step explanation:

got it right on edge

The line graph is bettee.

The better display for the survey of 18 students about the number of movies they watched this past summer is a circle graph.

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

Given that, Mrs. Harless surveyed 18 students about the number of movies they watched this past summer, she used a circle graph and a line graph.

Since, a line graph used to track changes over short and long periods of time, It represents the change in a quantity with respect to another quantity. It shows how the value of something changes over time, or compare how several things change.

Whereas, a circle graph helps organize and show data as a percentage of a whole, it is divided into slices to illustrate numerical proportion.

Therefore, if Mrs Harless used a circle graph, it would be better to understand the data of the students.

Hence, the better display for the survey of 18 students about the number of movies they watched this past summer is a circle graph.

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Answer:

A) Dilation  C)Reflections or B) Rotations

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Answer:54

Step-by-step explanation:

-2(3)(5+3 - 8 -3(3)=54

Hope I helped:D

Answer:

c=13

Step-by-step explanation:

a^2 +b^2= c^2

12^2+ 5^2= 144+25=

169= c^2

c=13

So the right answer is 78.57 in^2.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

The first x is 10 the second is 100

Step-by-step explanation:

Under the first x it is 5

Answer:

theoretical is first then experimental

Step-by-step explanation:

Answer:

Experimental , Theoretical

Answer:

A - 29%

Step-by-step explanation:

Bianca's 1/5 would be converted to 20%

Chelsea's .26 would be 26%

Darnell's is 25%

Adding these together you get 71. To find the remaining votes that Francisco received you would..

Subtract

100 - 71 = 29%

Therefor, your answer is A.

If Darell earned 25% of the vote and Francisco received the remaining votes, Chelsea would have garnered 0.26 percent of the vote. 29% of the votes were cast in favor of Francisco. Option A is correct.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

Given that there were four candidates running for office in the school election, Bianca won 1/5 of the vote, Chelsea got 0.26, Darell got 25%, and Francisco got the remaining votes.

Bianca's 1/5 would be converted to 20% and Chelsea's .26 would be 26%, Darnell's is 25%

Adding these together you get 71. To find the remaining votes that Francisco received you would be applying the subtraction operations,

100 - 71 = 29%

Thus, if Darell earned 25% of the vote and Francisco received the remaining votes, Chelsea would have garnered 0.26 percent of the vote. 29% of the votes were cast in favor of Francisco. Option A is correct.

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Answer:

24 pens are blue

Step-by-step explanation:

32 pens in total and 3/4 of it are blue.

32 ÷ 4 = 8

8 × 3 = 24

24 of the 32 pens are blue pens

Answer:

Lena has 24 blue pens!

Step-by-step explanation:

In this type of problem, you simply have to multiply 3/4 by 32. And you will get the correct answer:

1). 3/4 * 32 = 24

Hope this Helps))) ^‿^

Answer:

the answer is 7 7/8

Step-by-step explanation:

1.  you will need to change the fractions into an improper fraction.

2. you need to then multiply the numerator and denominator to get a 63/8

3. change 63/8 into a mixed fraction leaving you with 7 7/8

Answer:ones

Step-by-step explanation:

Answer:

D?

Step-by-step explanation:

As per probability, the fair way to pick one of three students is to roll a number cube. If 1 or 6 comes up, pick Bella. If 2 or 5 comes up, pick Chrissie. If any other number comes up, pick Destiny.

Probability indicates the chance of happening an event or incident.

For option-A, the probability to pick any one student is not equal for all of them.

For option-B, the probability of the tallest student is more to be picked.

For option-C, the probability for all the students to be picked are equal.

For option-D, the probability to pick any one student is not equal for all of them.

Therefore, option-C is the fair way to do.

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Answer:

g=1.25

Step-by-step explanation:

Divide 4 into 3.2

4/3.2=1.25

Try to use inverse operations to solve this problem.

First multiply both sides by g to get the g out from under the 4 The equation is now:

4=3.2g

From here then you divide both sides by 3.2.

The answer is g=1.25

I hope this helps

Answer:

5h(7g - 3)

Step-by-step explanation:

35gh-15h

Factor 5h out

5*7*g*h - 3*5*h

5h(7g - 3)

Answer:

[tex]Z_{1} Z_{2} = 3 i[/tex]

Step-by-step explanation:

Step(i):-

Given z 1 = 3(cos 37° + i sin 37°)

          z 2 = (cos 53° + i sin 53°)

by using complex numbers

      [tex]Z_{1} = r_{1} ( cos\alpha_{1} + isin\alpha_{1} ) = r_{1} cis\alpha _{1}[/tex]

      [tex]Z_{2} = r_{2} ( cos\alpha_{2} + isin\alpha_{2} ) = r_{2} cis\alpha _{2}[/tex]

step(ii):-

now

   [tex]Z_{1} Z_{2} = r_{1} r_{2} cis (\alpha _{1} + \alpha _{2})[/tex]

       z ₁ = 3(cos 37° + i sin 37°) = 3 c i s 37°

       z ₂ = (cos 53° + i sin 53°) = c i s 53°

we will use formula

     [tex]Z_{1} Z_{2} = r_{1} r_{2} cis (\alpha _{1} + \alpha _{2})[/tex]

     [tex]Z_{1} Z_{2} = 3 X 1 cis (37 + 53) = 3cis (90) = 3 cis(\frac{\pi }{2} )[/tex]

    [tex]Z_{1} Z_{2} = 3(cos(\frac{\pi }{2} ) + isin(\frac{\pi }{2}))[/tex]

    [tex]Z_{1} Z_{2} = 3(0 + i (1)) = 3 i[/tex]

Conclusion:-

       [tex]Z_{1} Z_{2} = 3 i[/tex]

Answer:

2i

Step-by-step explanation:

z 2 = 2/3(cos53° + isin53°

I got it right on odyssey ware

Answer:

Sampling of convenience

Step-by-step explanation:

A sampling of convenience is being employed by the newspaper reporter that wants to know what the people of Georgia think about the latest trades.

This refers to the non-probability sampling method that relies on data collection from population members who are conveniently available to participate in study.

Hence, the sampling of convenience is being employed by the newspaper reporter that wants to know what the people of Georgia think about the latest trades.

Therefore, the Option B is correct.

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Answer:

It is not possible to determine, because there is not enough information.

Step-by-step explanation:

Answer:

Answer is option b)

[tex] {(x - 3)}^{2} + {(y - 4)}^{2} = 400[/tex]

Your guess was right.

Step-by-step explanation:

[tex]the \: question \: states \: that \: \\ distance \: between \: two \: points \: is \: 20 \: units \: \\ and \: the \: two \: points \: are \: (x,y) \: \: and \: \: (3 ,- 4) \\ distance \: formula \\ = \sqrt{ {(x1 - x2) }^{2} + {(y1 - y2)}^{2} } \\ on \: substituting \: the \: values \: in \: formula \\ 20 = \sqrt{ {(x - 3)}^{2} + {(y - ( - 4))}^{2} } \\ 20 = \sqrt{ {(x - 3)}^{2} + {(y + 4)}^{2} } \\ now \: squaring \: on \: both \: sides \\ 400 = {(x - 3)}^{2} + {(y + 4)}^{2} \\ hence \: the \: answer \: is \: option \: b)[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

x=5

y=25

Step-by-step explanation:

You can start by finding the value of x. Since opposite angles in a parallelogram are equal, 11x=55 and x=5. Since adjacent angles are supplementary, 5y+55=180, 5y=125 and y=25. Hope this helps!

Answer:

question 7: 280 and question 8: 86

Step-by-step explanation:

Answer:

1) 70

2) 82

Step-by-step explanation:

There are 4 people who only like apples, and 6 people who do not like any fruit.

Since in a survey of 80 people it was found that 60 liked oranges only and 10 liked both oranges and apples, and the number of people who liked oranges is five times the number of people who liked apples, to determine the number of people who liked apples only and the number of people who didn't like any of these fruits, the following calculations must be performed:

First, the number of people who like apples must be determined, knowing that it is 5 times less than the number of people who like oranges.

Thus, 14 people like apples, of which 10 of them also like oranges. So there are 4 people who only prefer apples, added to 60 people who prefer oranges and 10 who like both fruits. This gives a total of 74 people, which implies that 6 people do not like any fruit.

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Answer:

f(x) = -1

Step-by-step explanation:

2/x when x = -2

2/-2 = -1

Answer:

f(x) = -1

Step-by-step explanation:

If you plug in -2 for x then it is 2/-2