8. Determine the area of a sector
with a central angle of 42° in a
circle with radius 3 inches.

NEED IT ASAP

Answers

Answer 1

Answer:

[tex]\boxed {\boxed {\sf A \approx 3.3 \ in^2}}[/tex]

Step-by-step explanation:

Since we are given the central angle in degrees, we should use the following formula for sector area.

[tex]A= \frac {\theta}{360}* \pi r^2[/tex]

The angle is 42 degrees and the radius is 3 inches. Therefore,

[tex]\theta= 42 \\r=3 \ in[/tex]

[tex]A=\frac {42}{360} * \pi (3 \ in)^2[/tex]

Solve the exponent.

(3 in)²= 3 in*3in = 9 in²

[tex]A=\frac {42}{360} * \pi (9 \ in^2)[/tex]

Multiply all three numbers together.

[tex]A= 0.116666666667* 3.14159265359 * 9 \ in^2[/tex]

[tex]A=3.29867228627 \ in^2[/tex]

Let's round to the tenth place. The 9 in the hundredth place tells us to round the 2 up to a 3.

[tex]A \approx 3.3 \ in^2[/tex]

The area of the sector is approximately 3.3 square inches.


Related Questions

What is the measure of the unknown angle?

Answers

Answer:

24

Step-by-step explanation:

x+120+36=180

x+156=180

x=180-156

x=24

I need help with this
Gsbevehehennsbsnacfwuwj

Answers

9514 1404 393

Answer:

  4

Step-by-step explanation:

The constant of proportionality is the ratio of y-values to corresponding x-values. We see that the y-value is 8 (at the top of the graph) when the corresponding x-value is 2.

  k = 8/2 = 4

The constant of proportionality is 4.

Find w. Round to the nearest tenth.

A. 4.4
B. 1.2
C. 39.5
D. 5.0

Answers

Answer:

Answer is A I believe

Step-by-step explanation:

The value of w from the given triangle VWX is 5 units. Therefore, option D is the correct answer.

What is sine rule?

Law of Sines In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.

The formula for sine rule is sinA/a=sinB/b=sinC/c

From the given triangle VWX, ∠X=51°, ∠W=16° and VW=x=14.

Here, sinX/x=sinW/w

sin51°/14=sin16°/w

0.7771/14=sin16°/w

0.7771/14=0.2756/w

0.0555=0.2756/w

w=0.2756/0.0555

w=4.965

w≈5

Therefore, option D is the correct answer.

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What is the median of this data set?

{13, 8, 12, 8, 12, 3}

Enter your answer in the box.

Answers

{13, 8, 12, 8, 12, 3}

3, 8, 8, 12, 12, 13

median — (8 + 12) : 2 = 20 : 2 = 10

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{The word \underline{median} means the number in the CENTER (the \bf middle}\\\large\text{number).}\\\\\\\large\text{To find your median you have to put your numbers from least}\\\large\text{(smallest) to greatest (biggest).}[/tex]

[tex]\large\text{Your data slot: \textsf{13, 8, 12, 8, 12, \& 3}}[/tex]

[tex]\large\text{Conversion: \textsf{3, 8, 8, 12, 12, \& 13}}[/tex]

[tex]\large\text{Finding your result: }\large\boxed{\rm{\dfrac{8+12}{2}}}\\\\\large\boxed{= \rm{\dfrac{20}{2}}}\\\\\\\large\boxed{= \rm{\dfrac{20\div2}{2\div2}}}\\\\\\\large\boxed{\rm{= \dfrac{10}{1}}}\\\\\\\large\boxed{= 10\div 1}\\\\\\\large\boxed{\rm{= 10}}[/tex]

[tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{10}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

A quantity who values do not change is called a

A) Variable
B) Pattern
C) Constant
D) Algebraic expression

Answers

Answer:

C)  constant

Step-by-step explanation:

it would be a constant ! you can remember this by thinking of the meaning of the word constant; consistent. it does not change, constantly. i hope that helped some :)

Stacia walked a total of 30,375 feet. If 2 miles is 10,560 feet, how far did Stacia walk in miles?

Answers

Answer:

62

Step-by-step explanation:

Answer:

I believe the answer is 5.8 miles

Step-by-step explanation:

I believe this is the correct answer, although it is possible I am wrong.

This is how I solved this problem:

I divided 10,560 feet by 2, which equals 5280 feet in a mile

Then I divided 30,375 feet by 5280 feet to get 5.7528409

Since there is no way this is the correct simplification, you need to round to the nearest tenth.

5.7528409 is about 5.8 miles

What is the midpoint of the segment below? (-12, -3) (3, -8)

Answers

Your answer is: D.

(-9/2,-11/2) use the midpoint formula

At the end of day 1, a bacteria culture has a population of 5,252 bacteria. It is growing at a rate of 25% after each day
Is the population best modeled by a linear or an exponential function? Explain your answer

Answers

Exponential function, cause, the increment is incremented every day

PLEASE HELP!!!!!!!!!:(

Answers

Answer:

19 150 1 x 4 = 4 4 x 0 = 0 20 288 Commutative Property Associative Property Distributive Property   Identity Property Associative Property Associative Property

Brainlist Pls!

The average of Aaron's three test scores must be at least 93 to earn an A in the class. Aaron scored 89 on the first
test and 94 on the second test. What scores can Aaron get on his third test to guarantee an A in the class? (The
highest possible score is 100.)
15
Write an inequality that models this situation. Use the variable s to represent his score on his third test.

Answers

Answer:

Aaron must obtain a 96 or higher to achieve the desired score to earn an A in the class.

Step-by-step explanation:

Given that the average of Aaron's three test scores must be at least 93 to earn an A in the class, and Aaron scored 89 on the first test and 94 on the second test, to determine what scores can Aaron get on his third test to guarantee an A in the class, knowing that the highest possible score is 100, the following inequality must be written:

93 x 3 = 279

89 + 94 + S = 279

S = 279 - 89 - 94

S = 96

Thus, at a minimum, Aaron must obtain a 96 to achieve the desired score to earn an A in the class.

Aaron must score atleast 90 marks in third test.

Aaron scores in the first  test = 89

Aaron scores in the second test = 94

And the average of Aaron's three test scores must be at least 93 to earn an A.

Let Aaron scores in the third  test = s

Then,

Average = sum of terms divided by the number of terms.

[tex]\frac{89+94+s}{3} \leq 93\\89+94+s\leq 93\times3\\183+s\leq 279\\s\leq 279-189\\s\leq 90[/tex]

So, Aaron must score atleast 90 marks in third test.

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let: f(x)=x+1 and g(x)=x^2-2

find: f(x) • g(x)

Answers

Answer:

Use Photo Math!!! It will help you and explain everything

Answer:

x³ + x² - 2x -2

Step-by-step explanation:

wszystkie 5 zadań pls

Answers

Explanation is in the file

tinyurl.com/wpazsebu

Answer:

Musisz przejść do Brainly.ph, jedyny sposób, w jaki z tobą rozmawiam, to tłumacz. Brainly.com jest dla języka angielskiego

Step-by-step explanation:

In a tennis tournament, 25% of Sarah’s serves were aces. Design a simulation to predict how many aces you expect Sarah to serve out of 50 serves.

HELP PLEASE I'LL GIVE BRAINLIEST!!!!!!!!!

Answers

Answer:

12.5

Step-by-step explanation:

u put the decimal at the end of 25 then u times it by 50 and there u get ur answer

hope this helps :D

Yes 12.5 is right I did it up on my calculator

1. What is the solution to the equation 4(x+3)=24
x=5.25
x=3
x=6.75
x=6

Answers

Answer:

x = 3

Step-by-step explanation:

Your first step is to divide each side by 4. This would give you x + 3 = 6. Now, all you have to do is subtract 3 from the left side to move it to the right. This would give you the final answer of x = 3.

Answer:

x = 3

Step-by-step explanation:

4(x + 3) = 24

First we want to isolate the binomial x + 3 by dividing both sides by 4.

x + 3 = 6

Now, subtract 3 from both sides.

x = 3

This is your answer.

Check your answer by plugging x = 3 back into the equation.

4(x + 3) = 24

4(3 + 3) = 24

4(6) = 24

24 = 24

Your answer is correct.

Hope this helps!

watching the weather channel, you can see the probability of it raining tomorrow. drag the term to the corresponding probability of it raining tomorrow. drag the term to the corresponding probability of it raining tomorrow.


terms:

• impossible

• likely

• unlikely

• certain


probability:

1. probability of rain < 1/2

2. probability of rain = 0

3. probability of rain = 1

4. probability of rain > 1/2

Answers

Answer:

Probability:

1. probability of rain < 1/2            -------- Unlikely

2. probability of rain = 0             --------  Impossible

3. probability of rain = 1               -------- Certain

4. probability of rain > 1/2           --------- Likely

Step-by-step explanation:

Given -

Terms:

• impossible

• likely

• unlikely

• certain

Probability:

1. probability of rain < 1/2

2. probability of rain = 0

3. probability of rain = 1

4. probability of rain > 1/2

To find - Watching the weather channel, you can see the probability of it raining tomorrow. drag the term to the corresponding probability of it raining tomorrow. drag the term to the corresponding probability of it raining tomorrow.

Proof -

Probability:

1. probability of rain < 1/2            -------- Unlikely

2. probability of rain = 0             --------  Impossible

3. probability of rain = 1               -------- Certain

4. probability of rain > 1/2           --------- Likely

Reason -

Probability is the chance that an event will occur. Weather predictions are based on  probability.The probability of an event occurring is represented by a ratio.

A ratio is a number that is  between 0 and 1 and can include 0 and 1.

An event is impossible if it has a probability of 0.

Having 13 months in a year has the  probability of 0.

An event is certain if it has the probability of 1.

The probability that the sun will rise  tomorrow morning is 1

Exercise 10.4.1: Bayes' Theorem - detecting a biased coin. About (a) Sally has two coins. The first coin is a fair coin and the second coin is biased. The biased coin comes up heads with probability .75 and tails with probability .25. She selects a coin at random and flips the coin ten times. The results of the coin flips are mutually independent. The result of the 10 flips is: T,T,H,T,H,T,T,T,H,T. What is the probability that she selected the biased coin

Answers

Answer:

0.026

Step-by-step explanation:

Given the result of 10 coin flips :

T,T,H,T,H,T,T,T,H,T

Number of Heads, H = 3

Number of tails, T = 7

Let :

B = biased coin

B' = non-biased coin

E = event

Probability that it is the biased coin:

P(E Given biased coin) / P(E Given biased coin) * P(E Given non-biased coin) * P(non-biased coin)

P(E|B)P(B) / (P(E|B)*P(B) + P(E|B')P(B')

([(0.75^3) * (0.25^7)] * 0.5) /([(0.75^3) * (0.25^7)] * 0.5) + (0.5^10) * 0.5

0.0000128746 / 0.00050115585

= 0.0263671875

Check all that apply?

Answers

Answer:

B AND D

Step-by-step explanation:

What is the area of the figure below? 4.5 m 14m 6m

Answers

Answer:63m^2

Whole quiz

36in^2

63m^2

26in^2

96m^2

Answer:

[tex]63m^{2}[/tex]

Step-by-step explanation:

The prism below is made of cubes that measure 1/2 of an inch on one side. What is the volume?

Answers

Answer:

the answer is C.  5 cubic in

Step-by-step explanation:

V = LWH

length is 2 (1/2 in)

width is 5 (1/2 in)

height is 4 (1/2 in)

V = (2/2) (5/2) (2)

V = 1 * 5/2 * 2

V = 5 cubic in

1. The figure below shows a triangle with a perimeter of 110 meters. Two sides measure 32.75 meters each.

left side 32.75 m, right side, 32.75 m, bottom ?

What is the length, in meters, of the third side?​

Answers

the length of the third side is 44.5 m

The second group of 20 squirrels of a different breed is placed on a different ranch. The population of squirrels triples each year. Write an equation to model this new situation.

Answers

Answer:    send group

Step-by-step explanation:

Vito Corleone has planned a grand outdoor summer wedding for his daughter in New York City. In the past couple of years, it has rained only 25 days out of the 92 days of summer. Unfortunately for Vito, the local meteorologist has predicted that it will rain on the day of the wedding. On a typical summer day: given it rains, the meteorologist predicted that it will rain correctly) 80% of the time On the other hand, given it did not rain, the meteorologist predicted it will rain (incorrectly 20% of the time.
A. What is the probability that the meteorologist predicts that it rains on a given summer day?
B. Given that the meteorologist predicted rain, what is the probability that it actually rains on the day of the wedding?

Answers

Answer:

a) 0.3630 = 36.30% probability that the meteorologist predicts that it rains on a given summer day.

b) 0.5989 = 59.89% probability that it actually rains on the day of the wedding

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.

A. What is the probability that the meteorologist predicts that it rains on a given summer day?

80% of 25/92(prediction of rain, and rained).

20% of 67/92(prediction of rain, did not rain). So

[tex]P = \frac{0.8*25}{92} + \frac{0.2*67}{92} = 0.3630[/tex]

0.3630 = 36.30% probability that the meteorologist predicts that it rains on a given summer day.

B. Given that the meteorologist predicted rain, what is the probability that it actually rains on the day of the wedding?

Conditional Probability, in which:

Event A: prediction of rain

Event B: rain

0.3630 = 36.30% probability that the meteorologist predicts that it rains on a given summer day, which means that [tex]P(A) = 0.3630[/tex]

Rain and prediction of rain:

80% of 25/92. So

[tex]P(A \cap B) = \frac{0.8*25}{92} = 0.2174[/tex]

The desired probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2174}{0.3630} = 0.5989[/tex]

0.5989 = 59.89% probability that it actually rains on the day of the wedding

a train leaves a station at 18:20 and arrives its destination at 02:28.How long did it take?​

Answers

Answer:

8 hours and 8 minutes

Step-by-step explanation:

there are 24 hours on the clock so if you add 6 to the 24 it would make you be at 0:00 so then you would add 2 hours and since 28 is 8 more than 20 it would be 8 hours and 8 minutes.

Volume of a sphere -
where r is the radius.
A cylinder has radius x and height h.
3x
A hemisphere has radius
2
r: h= 4:9
Prove that the cylinder and the hemisphere have the same volume.
[4marks]

Answers

The volume of hemisphere is equal to the volume of the cylinder and the volume is equal to the 9/4× π×x³.

From the given, the volume of the sphere with radius r,

Volume of sphere = (4/3)πr³

The volume of the cylinder with radius x and height h,

Volume of cylinder = π×r²×h

                                = π×x²×h

The ratio of the radius and height (x:h) = (4:9)

the height of the cylinder is h= (9x/4)

Volume of the cylinder = π×x²×(9x/4)

                                      = π×x³×(9/4)

The hemisphere radius, r = (3x/2)

Volume of hemisphere = 1/2 (Volume of sphere)

                                      = 1/2 (4/3 × π×r³)

                                      = 1/2 (4/3 × π ×(3x/2)³) (where r= (3x/2))

                                     = (9/4×π×x³)

Thus, the volume of cylinder and the volume of hemisphere is same and is equal to 9/4×π×x³.

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use the map for exercises 13 to 15​

Answers

Answer:

yes he is correct for 13

peyton hikes.  6  1/80

no it would not be a greater distance because if you do 9/10 times 3  and turn  the answer into a decimal the red trail is a greater distance.

Step-by-step explanation:

yes he is correct for 13

peyton hikes.  6  1/80

no it would not be a greater distance because if you do 9/10 times 3  and turn  the answer into a decimal the red trail is a greater distance.

What is the volume of a rectangular prism with a height of 6 m, a length of 4 m, and a width of 2 m?

28 m3
38 m3
44 m3
48 m3

Answers

Answer:

48m

Step-by-step explanation:

Formula: lwh

4*2*6=48m

Answer:

48

Step-by-step explanation:

14. A helicopter descends 82 meters to an altitude of 45 meters.
The equation a -- 82 = 45 can be used to find the helicopter's
starting altitude a in meters. What is the starting altitude of
the helicopter? (CC.6.EE.7)
A 37 meters

43 meters
© 127 meters
D 161 meters
A helicopter descends 82 meters to an altitude of 45 meters. The equation a-82=45 can be used to find the helicopters starting altitude a in meters. What is the starting altitude of the helicopter?

Answers

Answer:

C. 127 metres

Step-by-step explanation:

a - 82 = 45

-82 moves to the right of the "=" sign = +82

a = 45 + 82

a = 127 metres (option C)

_________________

#StayPositive - kexcvi

Answer:

c. 127

Step-by-step explanation:

a - 82 = 45

+82 +82 add 82 to both sides

a = 127

i got used for points like 4- times already 5 time is a charm someone would help ?

Answers

Answer:

B

Step-by-step explanation:

Because i said it is

Answer:

The answer for A is (3,5) so plot that into the graph. Those are the coordinates for F

The answer for B is "F  and C are 5 units away from the x-axis

The answer for C is "The distance between F and C is 10 units"

Step-by-step explanation:

What’s the answer to this question need help !!!!!!!!!!!

Answers

Answer:

A.Yes, [tex]6^{2} + 8^{2} = 10^{2}[/tex]

Step-by-step explanation:

Simplify 4(5x + 8) show work please

Answers

Answer:

20x+32

Step-by-step explanation:

4(5x+8)

4*5x + 4*8

20x+32

Other Questions
Find the value of x to the nearest tenth! HELP ME!!!!!!!!!!!!! (PICTURE IS BELOW) Please answer this question:1.) [tex] {3}^{n + 2} + \: ({3}^{n + 3} - \: {3}^{n + 1})[/tex]2.) [tex] \frac{( {25}^{ - 1} + ( {25}^{ - 2})}{( {625}^{0} + ( {25}^{ - 2} )}[/tex]hope you can help me. thank you in advance. I'll give the brainliest. Evaluate the following:81 Identify each number that is greater than 2 5/7A: 300%B:2.58C: 19/7D: 5.6 Please help with this question 3. How large was the Ming Dynasty compared to the Mongols? What issues might arise from this difference? pls help immediately!!!! Select all expressions that are greater than 4.ANSWERS1.67+ 3.4562.97+ 1.06784.12 - 0.055.503 - 1.52 Let3.agesThe sum of the ages of Roshan and Ravi is 55 years and the ratio of theiris 5:6. Find their ages. Characteristics nucleus cell wall Kingdom A absent (prokaryote) present autotrophs or heterotrophs Kingdom B present (eukaryote) absent mode of nutrition heterotrophs cellular organization unicellular multicellular Which student scenario correctly matches the Kingdoms based on the characteristics given in the chart? O A. Student 1 believes Kingdom A ilmbacteria because it is unicellular and prokaryotic. Student 2 believes that kingdom B is plant because it is missing a cell wall and is multicellular. O B. Student 1 believes Kingdom A is fungi because it is autotrophic and unicellular. Student 2 believes that kingdom B is animal because it is eukaryotic and heterotrophic. C. Student 1 believes Kingdom A is animal because it is prokaryotic and unicellular. Student 2 believes that kingdom B is bacteria because it is unicellular and prokaryotic. O D. Student 1 believes Kingdom A is bacteria because it is unicellular and prokaryotic. Student 2 believes that Kingdom B is animal because it is eukaryotic and heterotrophic. Why did President Jimmy Carter win the Nobel Peace Prize after negotiating the Camp David Accords?O He helped to secure the first peace between Israel and a large Arab state.O He maintained peaceful relations with Iran despite the hostage crisis.He was able to defeat global terrorism without any resort to forceO He was able to resolve the conflict between Israelis and Palestinians. Combine like terms to simplify the expression: 5y - 8x - 7- y + 12 x + 3Simplified Expression: The figure can be composed of different shapes.What shape can be composed to find the area of the figure? What is the area? A. square; 140 square inches B. rectangle; 151.2 square inches C. square; 151.2 square inches D. rectangle; 140 square inches What is the equation of the line in slope-intercept form?Write your answer using integers, proper fractions, and improper fractions in simplest form. The map shows rainfall levels during the 1934 droughts.Which area of the US was affected the least by the droughts of 1934?New Englandthe SoutheastGreat Plainsthe Southwest Mark is interested in becoming a biomedical engineer or a journalist. Based on his research, he chose to pursue biomedical engineering. What was most likely his reason for making this choice? What is the value of the expression: 3y + 6 divided by 2x, if y = 4 and x = 3? * 5. A cable is attached 32.0 m from the base of a flagpole that is about tobe raised. The raising of the pole is temporarily halted when the pole isat an angle of 60.0 with respect to the ground. If the cable exerts a ver-tical force of 1.233 x 104 N downward and a horizontal force of 1.233 x104 N to the left, what is the length of the flagpole? '5. Make sentences using each of these words as adjectives and adverbs.a. weekly b. leisurelyc. longd. righte. sharpf. shortg.straighth.tighti.fortnightlyj.slow _____ means way of the warrior.a.Samuraic.Bushidob.Shogund.KamakaziePlease select the best answer from the choices providedABCD