The area of a sector of an circle of a radius 5 cm, formed by an arc of length is 3.5cm. what is the answer

Answers

Answer 1

Answer:

8.75cm²

Step-by-step explanation:

First we need to find the angle subtended by the arc

L = theta/360 * 2pir

3.5 = theta/360 * 2*3.14(5)

3.5 = theta/360 * 31.4

theta/360 = 3.5/31.4

theta/360 = 0.11146

theta = 0.11146 * 360

theta = 40.13 degrees

Area of the sector = theta/360 * pir^2

Area of the sector = 40.13/360 * 3.14*25

Area of the sector = 40.13/360 * 78.5

Area of the sector  = 8.75cm

Hence the area of the sector is 8.75cm²


Related Questions

the area of the square is 25 inches what is the measure on one side of the square??

Answers

Answer:

5

Step-by-step explanation:

area of a square= side x side

[tex]\sqrt{25}[/tex] = 5

keiko has bought 36pounds of dog food, she feed the dog 3/4 pound of food each meal. how many meals would this last

Answers

Answer:

48 meals

Step-by-step explanation:

36lbs ÷ 3/4lbs = 48

There are 896 people at the school's basketball game. The
stands are divided into 16 equal sections. If each section
has the same number of people, how many people are in
each section?

Answers

There are 56 people in each section

How to determine the number of people?

The given parameters are:

Total = 896

Sections = 16

The number of people per section is

People = Total/Sections

This gives

People = 896/16

Evaluate

People = 56

Hence, there are 56 people in each section

Read more about quotient at:

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6
Solve the inequality. Graph the solution.
11.3 > b /4.3
The solution is

Answers

Step-by-step explanation:

Multiply to remove the fraction, then set equal to

0 and solve.

Inequality Form:

b<48.59

Interval Notation:

(−∞, 48.59)

The solution of the inequality 11.3 > b /4.3 is b< 48.59 along with the number line.

Given Inequality:

11.3 > b /4.3

To solve the inequality 11.3 > b / 4.3,

Multiply both sides of the inequality by 4.3 to eliminate the fraction:

11.3 * 4.3 > (b / 4.3) * 4.3

48.59 > b

The solution to the inequality is b < 48.59.

This means that any value of b that is less than 48.59 will satisfy the inequality.

To graph the solution, indicate that b is less than 48.59 by using an open circle at 48.59 and shading the line to the left of the open circle to represent all the values that satisfy the inequality.

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Emma is driving at a constant speed. She drives 4 miles in 5 minutes. If she continues to drive at the same speed, how many miles will she drive in 15 minutes? Use a proportion to solve.
A:3 miles B:12 miles C:20miles D:60miles

Answers

Answer:

D. 60 Miles

Step-by-step explanation:

Only answer if you know!!!- Which phrase is represented by the expression - 8n? (1 point)
negative 8 more than a number
8 less than a number
negative 8 times a number
O a number divided by negative 8

Answers

Answer:

negative 8 times a number is the desired answer to this mathematical problem about algebra.

A woman walks at a constant speed of 4.5 km per hr.How long will it take her to walk 10 km. using formula d=St how many hours and minutes​

Answers

Answer:

1 hour and about 15 minutes.

Step-by-step explanation:

because in an hour she walks 4.5 km. and 4.5•2=9 so just another km will be 10 so estimatly it'll be 1 hour and 15 minutes

2 hours 13 minutes 20 seconds

Somebody help me asap please giving brainliest

Answers

Perimeter is 68 and the area is 289

(THIS IS NOT A TEST OR AN ASSESSMENT QUESTION)
Hugo averages 32 home runs per season with a standard deviation of 2.5. Jacob averages 27 home runs per season with a standard deviation of 1.6. Last season Hugo hit 36 home runs and Jacob hit 31 home runs. Who had more home runs relative to their usual seasonal average? Explain.

Answers

Answer:

Jacob had more home runs relative to his usual season average than Hugo did.

Step-by-step explanation:

The key solving this is to express their respective home runs in z-value forms.

Z = (x - ų)/óx

X = Current home runs

Ų = Mean

= Meanóx = Standard deviation

For Hugo,

X = Current home run = 31

Ų = Mean = 27

Óx = Stardard deviation = 1.6

Z = (x - ų)/óx

Z = (31 - 27)/1.6 = 2.5

Hope this helped!!!

The person who had more home runs relative to their usual seasonal average was Jacob.

Calculations and Parameters:

Representing their home runs in z-value forms.

Where

Z = (x - ų)/óxX = Current home runsŲ = Mean

= Meanóx = Standard deviation

To find the home run for Hugo,

X = Current home run = 31Ų = Mean = 27Óx = Stardard deviation = 1.6

Therefore,

Z = (x - ų)/óx

Z = (31 - 27)/1.6

= 2.5

Hence, Jacob had the most home runs relative to their usual seasonal average.

Read more about standard deviation here:

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Sarah is solving for X by the process of completing the square for the following problem..

2x^2+16x-12=0

She got to this point below - type the number that goes in the (?) spot

(x+?)^2=22

Answers

Answer:4

Step-by-step explanation: Since she did it by completing the square, then you must do the same thing to get the same form so you can see what that number is.

So first subtract the constant which is -12 so we need to add twelve to get the constant on the other side. So we now have 2x^2+16x=12

The constant of the x^2 must be 1 so we need to divide by 2 on every term to get x^2+8x=12

So to make it so to get a perfect factor we need to divide the x factor by 2 so we get 4.

So the answer is 4 cause it is a perfect factor so were going to get 4 on both factors.

Answer:

4

Step-by-step explanation:

x²+2(x)(?)+?²=22

multiply by 2 because the coefficient of the higher degree in the first equation is 2

2x²+2(2(x)(?))+2(?²)-2(22)=0

2x²+4x(?)+2?²-44=0

Comparison

4x(?)=16x

?=4

2?²-44=-12

So, 2?²=-12+44

2?²=32

?²=16

?=4

A tabletop in the shape of a trapizoid has an area 8607 square centimeters. its longer base measures 123 centimeters, and the shorter base is 105 centimeters what is the height?​

Answers

Answer:

286.94 cm

Step-by-step explanation:

Data:

             Area = 8,607

             b1 = 105

             b2 = 123

      Area = 1/2 * (b1 + b2) * h

      h = 2 * Area/b1 + b2

      h = 2 * 8,607/105 + 123

     h = 286.94 cm

I'm not sure if it's right but that's what my calculator gave me.

3(2x-6) = 18
What is the answer ? Pls I have 10 minutes to get this finished !!

Answers

Answer:

x = 6

Step-by-step explanation:

3(2x-6) = 18

6x - 18 = 18

6x = 36

x = 6

(-4.2)²×..........=-132.3​

Answers

Answer:

-7.5

Step-by-step explanation:

-4.2×-4.2 = 17.64

-132.3/17.64= -7.5

use the distributive to simplify: 3{4x - 10}

Answers

12x-30 would be the accurate answer

HELP MEEE!

Find the area and volume for both.

Answers

Answer:

Step-by-step explanation:

3.

area of one triangular face = ½×16×30 = 240 in²

area of base = 30×9 = 270 in²

area of diagonal face = 34×9 = 306 in²

area of vertical face = 16×9 = 144 in²

surface area = 2×240 + 270 + 306 + 144 = 1,200 in²

volume = 240×9 = 2,160 in³

:::::

4.

area of one triangular face = ½×10×10.5 = 52.5 ft²

area of base = 10.5×6 = 270 ft²

area of diagonal face = 14.5×6 = 87 ft²

area of vertical face = 10×6 = 60 ft²

surface area = 522 ft²

volume = 52.5×6 = 315 ft³

I NEED HELP NOW THE ASSIGNMENT IS TIMED AND I DON"T HAVE MUCH TIME LEFT HELP PLEASEEEE I WILL GIVE EXTRA POINTS

Thuy is substituting t = 3 and t = 8 to determine if the two expressions are equivalent.

4 (6 t + 1) 24 t + 1

Which statement is true?
Both expressions are equivalent to 73 when t = 3.
Both expressions are equivalent to 76 when t = 3.
Both expressions are equivalent to 193 when t = 8.
The expressions are not equivalent.

Answers

the answer is B) both expressions are equivalent to 76 when t=3

Hope this helps :)

Answer:

D

Step-by-step explanation:

Hope i helped :)

xyz company's cost function for four months is c=500000+5q
find the break even dollar volume of sales if the selling price is 6 unit​

Answers

The break even of a company is when cost equals selling function. The break even of xyz company is 500000 units.

Given that:

[tex]c=500000+5q[/tex] --- cost function

[tex]s = 6q[/tex] --- selling function

The break even is when the functions are equal

i.e.

[tex]s = q[/tex]

So, we have:

[tex]6q=500000+5q[/tex]

Collect like terms

[tex]6q - 5q=500000[/tex]

[tex]q=500000[/tex]

The break even is at 500000 units

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2 1/5 + 1 2/3

explain please, I'm sorry if I'm asking a lot of questions!!

Answers

Answer:

2 1/5 = 11/5  x 3 = 33/ 15

1 2/3 = 5/3 x 5 =  25/ 15

= 33 + 25 = 58/ 15 = 3 13/ 15

:)

Answer: Fraction form: 3 13/15

plz mark me brainliest.

Step-by-step explanation: Fraction form: 3x5=15 so 2/3=10/15 and 1/5=3/15 so 13/15 and 2+1=3 so 3 13/15. plz mark me brainliest

How to mark brainliest:

Tap the crown, if there is no crown reload (there must be 2 answers)

Baby Zoe drinks a lot of milk. How many gallons are in 20 pints of milk? (1 gallon=4 quarts, 1 quart= 2 pints)

Answers

Answer:

there are 2.5 gallons in 20 pints of milk, or she drinks 2.5 gallons of milk

Step-by-step explanation:

If she drinks 20 pints of milk, you have to convert by dividing.

1 qt= 2 pints

20/2=10

20 pints = 10 quarts

Then, 1 gal = 4 qts

10/4= 2.5

So, there are 2.5 gallons in 20 pints of milk, or she drinks 2.5 gallons of milk.

Hope this helps!!

-Ketifa

(Can I get brainliest?)

Answer:

ehoif :)

Step-by-step explanation:

What is the slope of the line that passes through the points (-8,-1) and (-12,-2) ?

Answers

Answer:

1/3

Step-by-step explanation:

To find the slope subtract the second y-coordinate from the first y-coordinate and divide it by the result of the second x-coordinate from the first.

-2 - -1 = -1

-12 - -8= -3

-1/-3 = 1/3

Answer:

the answer is 4/1. Or just 4.

Step-by-step explanation:

-8-(-12) is -8+12=4. Then -1-(-2) is -1+2=1.

Use polar coordinates to find the volume of the given solid. Bounded by the paraboloid z = 6 + 2x2 + 2y2 and the plane z = 12 in the first octant

Answers

Answer:

[tex]\frac{9\pi }{4}[/tex]

Step-by-step explanation:

Paraboloid z = 6 + 2x^2 + 2y^2 ----- ( 1 )

plane z = 12

equation 1 becomes

12 = 6 + 2( x^2 + y^2 )

hence : ( x^2 + y^2 )  = 3

This shows that the solid lies under the parabolic and above the disk  0 : x^2 + y^2 ≤ 3

attached below is the remaining part of the solution

Suppose in this semester, our Exam 1 average was about 86 with an SD of about 10. Suppose the correlation between our Exam 1 and Exam 2 scores will be similar to what it has been in the past, about 0.6, and finally, suppose our Exam 2 scores will be similar to previous semesters' Exam 2 scores with an average of 76 and a SD of 8.2. Use this information to answer the following questions:
1. What is the slope of the regression equation for predicting our Exam 2 scores from Exam 1 scores? Round to 3 decimal places.
2. What is the y-intercept of the regression equation for predicting our Exam 2 scores from Exam 1 scores? Round to 3 decimal places.

Answers

Answer:

the slope of the regression equation for predicting our Exam 2 scores from Exam 1 scores is 0.492

And the y-intercept of the regression equation for predicting our Exam 2 scores from Exam 1 is 33.688

Step-by-step explanation:

Given the data in the question;  

mean X" = 86

SD σx = 10

Y" = 76

SD σy = 8.2

r = 0.6

Here, Exam 2 is dependent and Exam 1 is independent.

The Regression equation is

y - Y" = r × σy/σx  ( x - x" )

we substitute

y - 76 = 0.6 × 8.2/10  ( x - 86 )

y  - 76 = 0.492( x - 86 )

y  - 76 = 0.492x - 42.312

y = 0.492x - 42.312 + 76

y = 0.492x + 33.688

Hence, the slope of the regression equation for predicting our Exam 2 scores from Exam 1 scores is 0.492

And the y-intercept of the regression equation for predicting our Exam 2 scores from Exam 1 is 33.688

PLEASE PLEASE PLEASE HELP

Complete this table by entering the addictive inverse of each number.

Answers

Answer:

66. 4/8

Step-by-step explanation:

Answer:

-27 -> 27,  - 8/3 -> 8/3

Step-by-step explanation:

-27 + 27 = 0

-3/8 + 3/8 = 0

Please find the area

Answers

Answer:

b

Step-by-step explanation:

Area of parallelogram = Area of 2 small triangles

Therefore,

[tex]2( \frac{1}{2} \times 15.1 \times 7) = 105.7 {ft}^{2} [/tex]

you have an ant farm with 34 ants. the population of your ants will double every 3 months. the table shows the population growth of the ants over 9 months. decide whether the table represents a linear function or a nonlinear function. after one year how many ants will there be on the farm?​

Answers

If you multiply 272 by 2 u’ll get 544 Nd if u multiply 544 by 2 u’ll get 1,088 that’s after a year

Please solve! (best bet is to use paper)

Answers

1^2=1
6^2=36

So we get 1/36

Hope this helps

What is the range of the following data set?
{2, 9,5, 4, 7, 8}

Answers

Answer:

7

Step-by-step explanation:

The range is the distance between the largest and smallest number. So 9-2=7

Hope this helped!

Answer: 9-2=7

Step-by-step explanation:Range is the highest value minus the lowest value in the data set.

Find the slope of the coordinates plane points

Answers

Answer:

-2

Step-by-step explanation:

When they give you 2 points use the formula so y2-y1/x2-x1

So -2-8/1 - -4

-10/1+4 so -10/5 = -2


Amath class has a total of 45 students. The number of males is 13 more than the number of females. How many males and
how many females are in the class
Number of males:
Number of females

Answers

Answer:

Males: 29

Females: 16

Step-by-step explanation:

2x+ 13 = 45

2x = 45 - 13

2x = 32

x = 16

16 + 13 = 29

29 +16 = 45

Andre and Elena knew that after 28 days they would have 228 coins, but they wanted to find out how many coins that actually is. Andre wrote:
228=2⋅28=56
Elena said, “No, exponents mean repeated multiplication. It should be 28⋅28, which works out to be 784.” Do you agree with either of them? Explain your reasoning.

Answers

Answer:

no, exponents are how many times the base is used, it would be 2x2x2... so on until there are 28 2s

Step-by-step explanation:

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