a pie chart is divided into four sectors in fig. 12.42. Each sector represents a percentage of the whole. The two larger sectors are equal and each represents x%. What is the angle subtended by one of those larger sectors ?​

A Pie Chart Is Divided Into Four Sectors In Fig. 12.42. Each Sector Represents A Percentage Of The Whole.

Answers

Answer 1

Answer:

Angle formed by the sector measuring x% will be 126°.

Step-by-step explanation:

Since, sum of all sectors formed in a circle is 100%.

By adding the measures of all the sectors,

x + x + 21 + 9 = 100

2x + 30 = 100

2x = 70

x = 35%

Now we know sum of all the central angles formed at the center of a circle = 360°

Therefore, angle formed by x% = 360° × 35%

                                                    = [tex]\frac{360\times 35}{100}[/tex]

                                                    = 126°


Related Questions

2/8
QUESTION 8.1 POINT
If $20,000 is invested at 8.3% compounded continuously, how long, to the nearest tenth of a year will it take before the
investment doubles?

Answers

9514 1404 393

Answer:

  8.4 years

Step-by-step explanation:

The value of P compounded continuously at rate r for t years is ...

  A = Pe^(rt)

Solving for t, we find ...

  t = ln(A/P)/r = ln(2)/0.083 ≈ 8.35117

It will take about 8.4 years for the investment to double.

About 10​% of 8900 commuters carpool to work. Find the number of commuters who carpool.

How many commuters​ carpool?

Answers

Answer: 890 commuters carpool

Step-by-step explanation:

10% of 8900 = 890

8900/10= 890

Note: 10% to decimal form is 10

Answer:

10% of 8900

10/100×8900

=890

hope this is helpful

A zookeeper published the following stem-and-leaf plot showing the number of lizards at each major zoo in the country:

0
1
2
3
4
5
6


0
6
8
8
8
0
2
6
6
7
8
1
2
6
6



















00
10
20
30
40
50
60




















0
0
0
0
1
0
0


6
2
2


8
6
6


8
6
6


8
7
0


0
8


0


Key:
2



0
=
20
2∣0=202, vertical bar, 0, equals, 20 lizards
How many zoos have more than 26 lizards

Answers

do you have a picture or something ? this isn’t helping me.

If (x^2−1)/(x+1) = 3x + 5, then x + 3 =
(A) -3
(B) -2
(C) 0
(D) 2
(E) 4

Answers

C) 0
Explanation yep

7,25 x (y+5,6)=58 vậy y =

Answers

Answer:

y=2,4

Step-by-step explanation:

7,25x( y+5,6)=58

7,25y+ 40,6=58

7,25y=58-40,6

y=17,4:7,25

y=2,4

x

356 miles in 5 days
is a:
Unit Rate
Unit Price
Ratio
Rate

Answers

9514 1404 393

Answer:

  Rate

Step-by-step explanation:

Since there are no currency units involved, it is not a price or unit price.

Since the denominator (days) is not 1, it is not a unit rate.

The usual wording for a ratio is "to" rather than "in", so we probably would not say this is a ratio. Though, the usual reason for expressing the numbers this way is to indicate we might be interested in their ratio.

There is time involved, so it is reasonable to call this a "rate," which is usually the ratio of some quantity to the time associated with that quantity.

Find the area of the parallelogram. Show all your work.

Answers

Answer:

30m^2

Step-by-step explanation:

area of parallelogram is b×h

Answer:

The area of the parallelogram is 30 square meters.

Step-by-step explanation:

The area of a parallelogram is given by the formula:

A = bh

Where b is base and h is height

The base of the parallelogram is:

6 + 4 = 10 m

The height perpendicular to the base is 3 m

Use the formula A = bh:

A = (10)(3)

= 30

So the area of the paralleogram is 30 m^2

Hope this helps!

Make a substitution to express the integrand as a rational function and then evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
2 sec^2(t)/tan^2(t) + 14 tan(t) + 48 dt

Answers

Complete the square in the denominator to get

tan²(t ) + 14 tan(t ) + 48 = tan²(t ) + 14 tan(t ) + 49 - 1

… = (tan(t ) + 7)² - 1

Substitute u = tan(t ) + 7 and du = sec²(t ) dt. Then the integral becomes

[tex]\displaystyle \int \frac{2\sec^2(t)}{\tan^2(t)+14\tan(t)+48} \,\mathrm dt = 2 \int \frac{\mathrm du}{u^2-1}[/tex]

Separate the integrand into partial fractions:

[tex]\dfrac1{u^2-1} = \dfrac12 \left(\dfrac1{u-1}-\dfrac1{u+1}\right)[/tex]

Then we get

[tex]\displaystyle \int \frac{2\sec^2(t)}{\tan^2(t)+14\tan(t)+48} \,\mathrm dt =  \int \left(\frac1{u-1}-\frac1{u+1}\right)\,\mathrm du \\\\ =\ln|u-1|-\ln|u+1| + C \\\\ = \ln\left|\frac{u-1}{u+1}\right|+C \\\\ = \boxed{\ln\left|\frac{\tan(t)+6}{\tan(t)+8}\right|+C}[/tex]

A store has x packages of 4 markers and y packages of 12 markers. The store has a total of 192 markers in
stock. If there are 21 packages of 4 markers in the store, how many packages of 12 markers are there?

Answers

Sh363gdbzej3yve truly urban urge Heydyeh hdye

Which numbers are 9 units from −5 on this number line?

Drag and drop all of the numbers that are 9 units from −5 to their correct position on the number line.

-14,-5 -4 4 5 9

Answers

Answer:

-14 and 4

Step-by-step explanation:

To find the values subtract 9 from -5, as well as add 9 to -5

-5-9= -14

-5+9= 4

A 5 ounce bottle of juice cost $1.35 and an 8 ounce bottle of juice cost $2.16 a what is the unit cost per ounce of juice and b what is the better buy

Answers

Answers:

First bottle's unit cost = 27 cents per oz

Second bottle's unit cost = 27 cents per oz

Both have the same unit cost.

----------------------------------------

Work Shown:

unit cost = price/(number of ounces)

1st bottle unit cost = (1.35)/(5) = 0.27 dollars per oz = 27 cents per oz

2nd bottle unit cost = (2.16)/(8) = 0.27 dollars per oz = 27 cents per oz

Both lead to the same unit cost. Therefore, you can pick either option and it doesn't matter.

I need help ASAP anyone?

Answers

Answer: Choice A

Explanation:

Each vertical asymptote is due to a division by zero error.

For instance, the vertical asymptote x = 3 is from the factor (x-3) in the denominator. If we plugged x = 3 into (x-3), then it turns into 0 and we cannot have 0 in the denominator.

Similarly, the factor (x+3) leads to x = -3

So overall, we have (x-3)(x+3) in the denominator.

does x represents Mount Everest height ?​

Answers

Answer:

Bro what do you mean to represent Mount Everest height by x but if you want to sove a maths sum than you can take any alphabet

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

A physical education class is running a mile. The teacher has set a goal of 12 minutes to complete the mile. Students
receive a score to show how close they are to the target of 12 minutes. For example, if students run the mile in 8
minutes, their scores will be 4. Complete the statements about the students' scores.
Anja ran the mile in Her score is -2.
Issac ran the mile in 13 minutes. His score is
Simon ran the mile in 12 minutes. His score is

Answers

Answer:

Isaac is 26

Simon is 24

if 8 is 4 I.e 8 divide by 4 is 2

therefore 1 minute is 2 scores

Isaac :13 x 2=26

(do the same to Simon to get his score)

Write each decimal as a fraction or mixed number in simplest form.
1 3/8

Answers

3/2

Step One: 1 3/8, transform the number into a improper fraction:

To have a mixed number in to a improper fraction, you need to use            addition and multiplication.  For 1 3/8, We first multiply the denominator (8, also know to be the bottom number of the fraction) to the whole number (1).  8x1= 8NOTE: The original denominator (8) will be use for are improper, again playing as the denominator, we only multiply the denominator for the numerator (which is the top number of a fraction).After multiplying, we'll add are product with the numerator (3) for the process. 8+3= 12 Now we have both numerator and denominator for 1 3/8, we can create the improper fraction. 12 as the numerator and 8 as the denominator. 12/8We still need to simplify the number. To that, we need the biggest whole number, or rather I call it the lowest number, that can be divide both in 12 and 8. 4 can be divide by both number so: 12/4= 3 and 8/4=2Now 3 is are simplify numerator and 2 is are simplify denominator.

The temperature in Kansas City varies greatly some days. One day in January, the temperature was 16 degrees but then the temperature decreased by 23 degrees by midnight. What was the temperature at midnight?

Answers

Answer:

-7 degrees

Step-by-step explanation:

the temperature was 16 degrees then was the decrease by 23 degrees so subtract 23 from 16 and the answer is -7

Of all the people applying for a certain job 75% are qualified and 25% are not. The personnel manager claims that she approves qualified people 80% of the time, she approves unqualified people 30% of the time. Find the probability that a person is qualified if he or she was approved by the manager The probability is:_______.
Type an integer or decimal rounded to four decimal places as needed)

Answers

Answer:

The probability is: 0.8889.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Approved

Event B: Qualified

Probability of a person being approved:

80% of 75%(qualified)

30% of 25%(not qualified). So

[tex]P(A) = 0.8*0.75 + 0.3*0.25 = 0.675[/tex]

Probability of a person being approved and being qualified:

80% of 75%, so:

[tex]P(A \cap B) = 0.8*0.75[/tex]

Find the probability that a person is qualified if he or she was approved by the manager.

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.8*0.75}{0.675} = 0.8889[/tex]

The probability is: 0.8889.

i would like some help please i am stuck ​

Answers

Answer: -2(d) is the answer.

Step-by-step explanation:

x1 = 3

y1 = -5

x2 = -2

y2 = 5

slope (m) = rise/run = (y2 - y1)/(x2-x1)

                                =(5-(-5))/(-2-3)

                                 =   10/-5

                                 = -2

Suppose that the probability that a person will develop hypertension over a life time is 60%. Of 13 graduating students from the same college are selected at random. find the mean number of the students who develop hypertension over a life time

Answers

Answer:

The mean number of the students who develop hypertension over a life time is 7.8.

Step-by-step explanation:

For each person, there are only two possible outcomes, either they will develop hypertension, or they will not. The probability of a person developing hypertension is independent of any other person, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

Suppose that the probability that a person will develop hypertension over a life time is 60%.

This means that [tex]p = 0.6[/tex]

13 graduating students from the same college are selected at random.

This means that [tex]n = 13[/tex]

Find the mean number of the students who develop hypertension over a life time

[tex]E(X) = np = 13*0.6 = 7.8[/tex]

The mean number of the students who develop hypertension over a life time is 7.8.

what is the square root of 24

Answers

Answer:

the square root of 24 is 4.89897948557

Answer:

4.89

Step-by-step explanation:

2root 6........***

Express the decimal 0.7 as a percentage.

Answers

Answer:

70% IS THE ANSWER

Step-by-step explanation:

Hope I helped.

Answer:

70%

Step-by-step explanation

0.7×100=70

The surface area of a cylinder?

Answers

Answer:

18. 84 ft² or 18.85 ft² when rounded to the nearest tenth

Step-by-step explanation:

2πrh+2πr²

2× 3.14 × 1 × 2= 12.56

2 × 3.14 × 1² = 6.28

12.56 + 6.28 = 18.84

Have a great day :)

Answer:

18.85 [tex]ft^2\\[/tex]

*You should run the numbers yourself as well. Sometimes different calculators will get marginally different numbers or use a different rounding for [tex]\pi[/tex] that gives a slightly different answer*

Step-by-step explanation:

Surface area of a cylinder: [tex]2\pi rh+2\pi r^2[/tex]

Where h is the height and r is the radius. Remember that the radius is half the diameter, and the diameter is a straight line that passes through a circle.

I could be wrong, but I think you had the correct equation but used the diameter in stead of the radius to get 50.36.

Radius: 1   Height: 2

Plug numbers into equation:

[tex]A=2\pi (1)(2)+2\pi (1)^2= 18.8495. . .[/tex]

I hope that helps!

Given that ƒ(x) = 3^x, identify the function g(x) shown in the figure. A) g(x) = −3^-x
B) g(x) = −(1∕3)^x
C) g(x) = 3^−x
D) g(x) = −3^x

Answers

Answer:

Option (D)

Step-by-step explanation:

From the graph attached,

Function 'f' is the reflected across x-axis to get the graph function 'g'.

Therefore, by definition of reflection across x-axis,

g(x) = -f(x)

g(x) = [tex]-3^x[/tex]

Option (D) will be the answer.

Find the greatest common factor of the
following monomials:
39c^2
9c^3'

Answers

Answer:

3c^2

Step-by-step explanation:

D. Rom has just given an insurance company $35,000. In return, he will receive an annuity of $3,700 for 20 years. At what
rate of return must the insurance company invest this $35,000 in order to make the annual payments?

Answers

Answer:

0.53%

Step-by-step explanation:

hope it is well understood

The length of a rectangle is five times the width if the area of the rectangle is 180 in.² then find the length and the width

Answers

Let breadth be x

Length=5x

ATQ

[tex]\\ \sf \longmapsto Area=Length\times breadth[/tex]

[tex]\\ \sf \longmapsto 5x(x)=180[/tex]

[tex]\\ \sf \longmapsto 5x^2=180[/tex]

[tex]\\ \sf \longmapsto x^2=\dfrac{180}{5}[/tex]

[tex]\\ \sf \longmapsto x^2=36[/tex]

[tex]\\ \sf \longmapsto x=\sqrt{36}[/tex]

[tex]\\ \sf \longmapsto x=6in[/tex]

Width=6inLength=6×5=30in

what is the answer of
445+584-85

Answers

Answer:

944 is the correct answer

Answer:

the answer it's 944

445+558=1,029

1,029-85=. [944]✓

If x+y=8 and xy =15 find the value of x³+y³.​

Answers

Answer:

152

Step-by-step explanation:

let x= 5 and y= 3x + y = 85 + 3 = 8xy = 155 × 3 = 15x³ + y³ = ?5³ + 3³ = ?125 + 27 = 152

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

The amount of soda a dispensing machine pours into a 12 ounce can of soda follows a normal distribution with a standard deviation of 0.08 ounce. Every car that has more than 12.20 ounces of soda poured into it causes a spill and the can needs to go through a special cleaning process before it can be sold. What is the mean amount of soda the machine should dispense if the company wants to limit the percentage that need to be cleaned because of spillage to 3%

Answers

Answer:

x = 12.15 oz

Step-by-step explanation:

z = 1.8808

 1.8808 = (x - 12)/.08

Ilang litro ng tubig ang kailangang isalin sa timba na naglalaman ng 10 000 mililitro

Answers

Answer

nghiệmTrảingu       từng bước:

Other Questions
Ms. Day informed all students that theyneed to make their submissions by nextweek.informa or formal? I WILL MARK BRAINLIEST:)) Please translate this expression into a verbal expression 4(5j+2+j). (5 points) if$3=2 and Rs. 325=$3, how many pound() will be equal to Rs. 39000 Reggie and three of his friends decide to play a game of doubles tennis. Which of the basic rules in the game are modified because of the additional players? (2 points) Height of the net Number of strokes per volleyScoring Size of the court30 POINTS!! If a person was climbing near the tops of the Rocky Mountains, what kind of vegetation would he or she find? A population of birds lives on a small island. Another population of the same species lives on the mainland. Thedistance between the island and the mainland is too great for birds to fly back and forth. Recently, a series ofsandbars and tiny islands have formed between the island and the mainland. What is the HCF of 1280 and 630 Find the mean and the MAD. [Note: Type your answers as decimal numbers, rounded to the nearest tenth.] 135, 160, 145, 155, 170, 150, 142 Kandy Kane Corporation has income before taxes of $400,000 and a loss from discontinued operations pretax of $100,000. If the income tax rate is 25% on all items, the income statement should show income tax expense of helpppTrue or false: f(x) represents a function. the Main differences between sociology and social psychology is that sociology focuses on ____, whereas social psychology focuses on.A. The group,the individual B. Clnica applications, practical applications C. The justice system, the welfare system D. Functions, needs Given the graph of f '(x), the derivative of f(x), which of the following statements are true about the graph of f(x)? (4 points)2. Given the graph of f '(x), the derivative of f(x), which of the following statements are true about the graph of f(x)?Graph is parabola with x intercepts at x equals 0 and 3 and vertex at x = 1 I.The graph of f is decreasing on the interval (0, 2). II. The graph of f is increasing on the interval (1, infinity). III. The graph of f has point of inflection at x = 0.a I only b II onlyc III onlyd None of these are true English b please help Write an informative essay on a Greek mythical character Cell replication is important for reproduction of body cells and reproduction of gametes. Which type of reproduction occurs only in gametes If the fixed cost is 9000 per year. Variable costs are estimated to be Tk. 60.75 / item. The firm wants to break even if 80 items are sold per year. What should be the unit price of the item? An ammeter with a resistance of 5.0 ohm is connected in series with a 3.0V cell and a lamp rated at 300 mA, 3V. Calculate the current that the ammeter will measure.plz solve this, I'll mark you as brainliest Which of the following contains foreshadowing? B. julie remember her first day of school with great Which statement isNOTa source of threats?a.Poor management decisions, accidents and natural disasters.b.Data recoveryc.financial mistakesd.loss of customers Triangle ABC has perimeter 20 cm.AB = 7 cm.BC = 4 cm.By calculation, deduce whether triangle ABC is a right-angled triangle