The diagram shows a sector of a circle radius 11 cm.
Show that the perimeter of the sector
is greater than 47.5 cm.

135°
11 cm

Answers

Answer 1

Answer:

Perimeter of sector is 47.93 cm which is greater than 47.5 cm

Step-by-step explanation:

Mathematically, the perimeter of a sector is length of the arc plus 2 radii

The length of the arc is;

theta/360 * 2 * pi * r

where theta is the angle subtended by the arc at the center of the circle

Thus, we have

135/360 * 2 * 22/7 * 11 = 25.93

Add 2 radii = 25.93 + 2(11) = 47.93 cm

This is greater than what we are asked to calculate and thus we have shown what we are asked to show

Answer 2

Answer:

47.9cm>47.5cm

Step-by-step explanation:

135(angle) /360 x 2 pi r (to give arc of the sector)

135/360 x 2 x 3.142 x 11 = 25.92cm

add 11 + 11 (radius)

25.92 + 22= 47.9cm


Related Questions

Find the slope and the y-Intercept of the line in the graph.

Answers

Answer:

I'm pretty sure slope is 4/1 and y-intercept is 3

Answer:

Slope: 4/1

Y-Intercept: (0,3)

Step-by-step explanation:

This should be the correct answer if the graph is in increments of one.

A truck is carrying 102 bushels of sweet potatoes​, 101 bushels of tangerines​, and 103 bushels of spaghetti squash. What is the total weight of the​ crops?

Answers

Answer:

306

Step-by-step explanation:

Answer:

there are 305 bushels all together on the back of the truck

Step-by-step explanation:

I cannot give you the poundage of the bushels all together because you never said how much the bushels weighed

What is the equation of the line parallel to line l that passes through point (3,3)

Answers

Answer:

Step-by-step explanation:

Let the equation if the line be y = mx + c

since the line is parallel to y = (smt-your question isn't complete), their gradients/slope must be the same (aka m = __)

sub (3, 3):

3 = __(3) + c

c = __

therefore, the equation of the line is y = __x + __

This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

What is m<1

A. 130°
B. 70°
C. 60°
D. 120°

Answers

Answer:

120 degrees

Step-by-step explanation:

To find m<1 we must first find the other angles.

First, find m<CDB. To do this use the complementary angle 130. So m<CDB=180-130, which means m<CDB=50.

Then find m<2, to do this remember that all triangles equal 180. So to find m<2 solve the equation m<2=180-(70+50), which equals 60 degrees.

Finally find m<1 the same way you found m<CDB, using the complementary angle 2. m<2=180-60, therefore m<1=120.

Answer:

120

Step-by-step explanation:

what is 0.4 repeting as afraction

Answers

Answer:

2/5

Step-by-step explanation:

Answer:

4/9

Step-by-step explanation:

When you go to do a repeating decimal, put whatever repeats over 9. For example lets say we want .49494949 repeating it would be 49/99

however in this case we want 4 to repeat so it would be 4/9.

One factor of f(x) = x3 − 14x2 + 61x − 84 is (x − 7). What are the zeros of the function?

Answers

Answer:

-7

Step-by-step explanation:

Because zero is the x, so x=-7 then it's -7

The zeros of the polynomial function is x = 7, x = 3, and x = 4 if one factor of f(x) = x³ − 14x² + 61x − 84 is (x − 7).

What is a polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

It is given that:

f(x) = x³ − 14x² + 61x − 84

One factor is (x - 7)

The cubic polynomial can be written as:

f(x) = (x - 7)(x² - 8x + 12)

Or

f(x) = (x - 7)(x - 3)(x - 4)

To find the zeroes equate to zero:

f(x) = 0

(x - 7)(x - 3)(x - 4) = 0

x = 7, x = 3, and x = 4

Thus, the zeros of the polynomial function is x = 7, x = 3, and x = 4 if one factor of f(x) = x³ − 14x² + 61x − 84 is (x − 7).

Learn more about Polynomial here:

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it takes Louis 1 2/3 hours to write 5/6 of a short story how long will it take louis to complete the story?​

Answers

Answer:

2 hours to write the story.

1/3 of an hour remaining to complete the story.

20 minutes remaining.

(Read the explanation for further details.)

Step-by-step explanation:

1.Based on the given information, set up an equation;

(1 2/3) hours ; (5/6) story

Convert to improper fractions;

(1 2/3) ; (5/6)

(5/3) ; (5/6)

2. Solve;

(5/3) ; (5/6)

divide both sides by (5/6)

(5/3) ; (5/6)

/(5/6)   /(5/6)

Dividing a fraction is the same as multiplying by its reciprocal

(5/3)/(5/6) ; (5/3)/(5/3)

(5/3)*(6/5) ; (5/3)*(3/5)

2 ; 1

2 hours; 1 story

3. Solve for the time remaining;

Subtract the amount of time elapsed from that total amount of time

total time - time used

2 hours - 1 2/3 hours

Convert to improper fractions

2 - 5/3

1/3 hour

Convert to minutes

20 minutes

PLEASE ANSWER QUESTION ASAP BEFORE 6:30 p.m.
SHOW WORK PLEASE
WRITE IT ANSWER FRACTION PLEASE
As soon as a new car is purchased and driven away from the dealership, it begins to lose its value, or depreciate. Alonso bought a 1994 Plymouth Neon for $9559. One year later, the value of the car was $8500. What was the percent of decrease of the value of the car?

P.S. This is a percent increase/decrrease
from: 9559
to: 8500

%/100 = differences of to and from/ from ( before the number )
( no negative difference, bigger number subtract smaller number)

Answers

Answer:

11%

Step-by-step explanation:

$9559-$8500=1059

1059/9559= .110786

.110786 x 100= 11.0786%

11.0786%= 11%

symplify the expression 3⁴÷3⁹. Select all that apply.​

Answers

Answer:

C and D

Step-by-step explanation:

When you divide exponents with the same base, you just subtract the exponents.

3^4 / 3^9

4-9 = -5

3^-5

That can be rewritten into 1/3^5 and 1/243.

what is the domain of (1,3) (2,5) (3,7) (4,9) ?

Answers

The domain is the set of all the values of xx. The range is the set of all the values of yy.
Domain: {1,2,3,4} I hope this helps.

Please help!!!!!!!!!​

Answers

Answer:

8/125

Step-by-step explanation:

room is 32 ft by 40 ft. She needs to make a scale of her room that is 8 in. by 10 in. What is the scale she needs to use? ​

Answers

Hvdgnjkncfhjinvgnbfg gfbjjygjk

Pls help ill give the brainliest anwser a brainliest

Answers

Answer:

D

Step-by-step explanation:

9.5 times the sum means you'd have to the addition first but the equation should but the same as the words. Order of operations states to do the parenthesis first. Therefore, the answer is D (10+5/4)x9.5

Answer:

A.

Step-by-step explanation:

If it's 9.5 times the sum of 10 and 5/4, the answer is A.

Its not b because its called 10 plus 9.5 times 5/4.

Its not c because it is called 9.5 PLUS the sum of 10 and 5/4.

Its not d because its called 10 plus 9.5 times 5/4.

Therefore, the word version fits with answer a.

50+ POINTS!!! DUE TODAY!! PLS HELP!!
1) Only do 10-29
2) choose 10 and make word problems for them
3) Get 50+ points and BRAINLIEST
DONT ANSWER IF U DONT KNOW

Answers

Answer:

10. 4+x=3

11. 1/2/x=24

12. 2(7+x)

13. X+5=21

14. 4-(3x)

15. 1/2x(11)

16. 2x/10=7

17. X^2+18=3

18. 13-x=9

19. 9(x-43)

20. 7x^2=2

21. 12+8x

22. 1/2x-1=10

23. 7x^3=10

24. 9-3x=4

25. 4x+8=1

26. 7-x^2=1

27. 5+10x=11

28. 2(x-6)=20

29. 8-x^2=24

Step-by-step explanation:

10) 4+x=3

11) 1/2/x=24

12) 2(7+x)

13) X+5=21

14) 4-(3x)

15) 1/2x(11)

16) 2x/10=7

17) X^2+18=3

18) 13-x=9

19) 9(x-43)

20) 7x^2=2

21) 12+8x

22) 1/2x-1=10

23) 7x^3=10

24) 9-3x=4

25) 4x+8=1

I'm a simp who watches the simpsons and lives a simplistic lifestyle.

1/4(4+x)=4/3

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

Answers

4+x=(4/3) x 4 — you multiply both sides by 4 to get rid of the fraction on the left.
4+x=16/3 — then simplify the fraction on the right
x = 1 1/3 — minus 4 from both sides to get x alone

What additional information is needed to show that ABC 2 ADEF by ASA?

A.AB≈DE
В.BC≈EF
с.AB ≈AC
D.AC≈DF

Answers

Answer:

AB≈DE

then, in triangle ABC&in triangle DEF

angle CAB =angle FDE

side AB= side DE

angle ABC= angle FED

So, triangle ATC≈ triangle DEF (A.S.A)

What is equivalent to (3-2i)^2

Answers

Answer:

13

Step-by-step explanation:

(3-2i)^2 =

9-4i^2 =

9-4(-1) =

9+4 = 13

Steve buys 21lbs of grapefruit and 3lbs of oranges for $7.20. Kennedy buys 4lbs of grapefruit and 2lbs or oranges for $8.80. How much was the price for a pound of grapefruit and oranges?

Answers

Answer:

19.6

Step-by-step explanation:

21+3=24

24-7.20=16.8

4+2=6

6-8.80=-2.8

19.6

Answer:

19.6

Step-by-step explanation:

21+3=24

24-7.20=16.8

4+2=6

6-8.80=-2.8

19.6

Figure PQRS is shown below.
(Figure P Q R S has 4 congruent sides. 2 angles are right angles.)
Which names accurately describe figure PQRS? Select three options.
- parallelogram
- pentagon
- rectangle
- rhombus
- trapezoid
Thanks! Will be awarding brainliest to the person who answers the quickest.

Answers

Answer:

parallelogram, rectangle, rhombus

Step-by-step explanation:

have a wonderful day

Parallelogram, rectangle, rhombus  names accurately describe figure PQRS.

What is Quadrilateral?

A quadrilateral is a four-sided polygon, having four edges and four corners.

The given figure PQRS is a quadrilateral.

A parallelogram is a two-dimensional geometrical shape whose sides are parallel to each other.

A rectangle is a special case of a parallelogram in which each pair of adjacent sides is perpendicular.

A rhombus is a quadrilateral whose four sides all have the same length.

The figure satisfies the properties of parallelogram, rectangle and rhombus.

Hence, parallelogram, rectangle, rhombus  names accurately describe figure PQRS.

To learn more on Quadrilateral click:

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solve for the variable
7x = 49
-4x= -40
x/2 = 6
x/9 = -2

Answers

Answer:

71012-18

Step-by-step explanation:

For 7x = 49 you need to divide 7 to both sides

For -4x=-40 you need to divide -4 to both sides

For x/2 = 6 you need to multiply 2/1 to both sides

For x/9 =- 2 you need to multiply 9/1 to both sides

When the equation 16/x = 4 is simplified, the value of x is??

Answers

The value of x is 4.

Answer: x=4

Step-by-step explanation:

multiply each side by the denominator to cancel out the fraction so the new equation is 16=4x then divide by 4 to eliminate the x and 16 divided by 4 is 4 which is the anwser.

the velocity of a falling body varies directly as the time of flight if the velocity of the falling body at the end of two seconds is 64.4ft/s find the velocity at the end of 5 seconds

Answers

Answer:

Step-by-step explanation:

If the velocity of a falling body varies directly as the time of flight, this is expressed as;

v α t

v = kt

k = v/t

If at t = 2secs, v = 64.4ft/s

k = 64/2

k = 32 ft

To get the velocity at the end of 5 secs, we will say;

at t = 5secs v = ?

From the formula;

v = kt

v = 32(5)

v = 160ft/s

Hence the required velocity is 160ft/s

​The perimeter of a triangle is 43 inches. The second side is 4 times as long as the first side. The third side is 1 inch longer than the first side. What is the length of each side

Answers

Answer:

First side=7

Second side =28

Third side =8

explanation:

Perimeter of a triangle is the sum of the length of the sides of the triangle. Given that the perimeter of the triangle = 43 inches

Second side is 4 times the first side

Third side is 1 inch longer the first

Let's call the first side x

Then equation for the perimeter of the triangle is given by

x+4x+x+1=43

We solve for x

6x+1=43

6x=43-1

6x=42

x=42/6

x=7

Therefore the first side x=7, the second side is 4x= 4*7=28, third side= 1+x= 1+7=8

The US spends on average 10,200 dollars on each student per year. There are about 77,000,000 students in the United States. How much money is spent on students each year? Write your answer in scientific notation first.

Answers

Answer:

10700 to the 7 power ould be your answer

Step-by-step explanation:

10700

Write the equation of a line that passes through the points (-2,-6) and (3, 19). I​

Answers

Answer:

y=5x+4

Step-by-step explanation:

You would have to look up how to do the hadn written way of figuring out this but I just used my calculator. To do this with your TI-84 or newer calculator, press "stat" and go into "edit". You will see some columns with the names "L1, L2, L3, etc." which stand for lists. put your x values in "L1" and their corresponding y values next to them in "L2". When you're done press stat again and move right to the heading "Calc". Go down to number 4 which should say "LinReg(ax+b)" next to it and press enter. now you should see "Xlist" and "Ylist" with "L1" and "L2" beside them respectively. Once that is set, go down to "Calculate" and press enter and it should give you slope intercpet form and what "a" and "b" are. You're welcome.~ ;P

WHAT HAPPENED ON THE DAY JUNE 6? PICK ANY YEAR

Answers

Answer:

D-Day in the year 1944.

Step-by-step explanation:

None, this is self explanatory! Check web sources for more ^^

Answer:

1944, that the invasion of Europe began behind the largest landing force the world had ever seen. Aka D-day.

Step-by-step explanation:

Look it up.

Two angels of a triangle measure 12 and 40.
What is the measure of the third angle of the triangle ?

Answers

Answer:

C) 128

Step-by-step explanation:

Sum of all three angles of triangle = 180

Let the third angle be 'x'

x + 12 + 40 = 180

     x + 52 = 180

             x = 180 - 52

            x = 128

Help I’m dumb and it’s due soon.

Answers

Answer:

Options A, C and D are correct ones.

Step-by-step explanation:

Options A, C and D are correct.

For the following triangle,

Answers

Answer:

3 angles?

Step-by-step explanation:

A ​$270 suit is marked down by 10​%. Find the sale price.

Answers

243 dollars
270(.1) = 27
270 -27 = 243
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