a sector of a circle with radius 21cm has an area of 280cm², find the perimeter of the sector.​

Answers

Answer 1

Answer:

26.67 cm

Step-by-step explanation:

Area of a sector

A = πr² x θ/360°280 = 22/7 x 21 x 21 x θ/360°280 = 22 x 3 x 21 x θ/360°40 = 22 x 9 x θ/360°40 = 22 x θ/40°1600 = 22 x θθ = 1600/22 = 800/11 = 72.7°

Finding Perimeter (Arc Length)

2πr x θ/360°2 x 22/7 x 21 x 800/11 x 1/3602 x 22 x 3 x 800 x 1/11 x 1/360132/11 x 800/36012 x 20/912/9 x 204/3 x 2080/326.67 cm

Related Questions

please answer with all the steps and you’ll get brainliest

Answers

Answer:

x = -1

Step-by-step explanation:

You have:

[tex]\frac{3}{2x-1} =\frac{1}{x}[/tex]

Multiply both sides by 'x' to get:

[tex]\frac{3x}{2x-1} =1[/tex]

Multiply both sides by (2x-1) to get:

[tex]3x=2x-1[/tex]

Subtract 2x on both sides to get:

[tex]x=-1[/tex]

x to the second power - 5x + 6

Answers

Answer:

−5

Step-by-step explanation:

−5x+6

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax

n

 is nax

n−1

.

−5x

1−1

Subtract 1 from 1.

−5x

0

For any term t except 0, t

0

=1.

−5

Evaluate

6−5x

A company is replacing cables with fiber optic lines in rectangular casing bcde. if segment de = 3 cm and segment be = 3.5 cm, what is the smallest diameter of pipe that will fit the fiber optic line? round your answer to the nearest hundredth. quadrilateral bcde inscribed within circle a 3.91 cm 4.24 cm 4.61 cm 4.95 cm

Answers

Answer:

4.61

Step-by-step explanation:

I saw another question that had 3 and 3 and that question's answer was 4.24, so i multiplied the 0.5 and got 4.61

One of the legs of a right triangle measures 5 cm and the other leg measures 17 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Answers

⚠ANSWER♨

↪18cm

5^2 + 17^2 = a^2

25 + 289 = a^2

314 = a

√(314) = a

17 . 72 = a

The measure of hypotenuse is 17.72cm

it is equal to 18cm

...hope this helps...

_♡_mashi_♡_

HELP QUICK PLS ! A circle with radius of 2 cm sits inside a 7 cm x 11 cm rectangle. What is the area of the shaded region? Round your final answer to the nearest hundredth. 7 cm 2 cm 11 cm​

Answers

Answer:

77 - 8pi cm

Step-by-step explanation:

Area of Circle = 2pi*r^2 = 8pi cm

Area of rectangle = 7 X 11 = 77cm

Area of shaded region = 77cm - 8pi cm

Answer:

89.6^2 - hope this helped :)

Step-by-step explanation:

area of rectangle = 7 x 11 = 77 cm^2

area of circle = 2 x 2 x 3.14 = 12.56^ 2

all together = 89.56

rounded up = 89.6 cm^2

4,200 is deposited into a savings account that earns 4.5% simple interest for 6 years

Answers

Answer:

7620

Step-by-step explanation:

A = P(1 + rt)

A = 6000(1 + (0.045 × 6)) = 7620

calculatorsoup

We are on my trigonometry unit and I don’t understand this question. I need work shown if at all possible!

Answers

Answer:

I think this is the right answer.

Step-by-step explanation:

Ship A is 2.653 miles from the island and ship B is 2.981 miles away from the island.

please help to solve this ​

Answers

Step-by-step explanation:

I think it will help you.

The image above will help you

Using the net below, find the surface area
of the pyramid.
9\cm
13 cm
m 3 cm
.
Surface Area =
[?] cm2

Answers

Refer to attachment for your answer

Please help i will give brainliest

Answers

Answer:

c

Step-by-step explanation:

Answer:

okay so I think the answer is C the average size of the seventh grade class I'd larger and varies more than that of a kindergarten class

Can someone help me
Please

Answers

9z

hope it reall helps...!!!

I think its d! I am pretty sure

11 The two trapezoids shown below are
similar.
6 cm
120°
T
120°
10 cm
60°
W
80°
60°
16 cm
What is the length in centimeters of WT?
A 10 cm
B 3.8 cm
C 12 cm
D 9.6 cm

Answers

Answer:

9.6 (D)

Step-by-step explanation:

You know that when they are similar, they have a ratio. Assume that WT is x. 6:10 is the ratio, or 3:5.

So, what number is x when x:16=3:5?

(two ways)

1. You can cross multiply

x/16 = 3:5, 3x16=5x

48=5x

x=9.6

2. You can do it by looking at the answer choices and simplifying them.

10:16=5:8

NO

3.8:16=1.9:8

NO

12:16=3:4

NO

9.6:16=4.8:8=

2.4:4

0.6:1

6:10

YES

what is the soultion to the linear system y=2x and y=x+4

Answers

Answer:

x = 4; y = 8

Step-by-step explanation:

y=2x

y=x+4

2x = x + 4

x = 4

y = 2x = 2(4)

y = 8

Solution: x = 4; y = 8

what is the diameter of a sphere with a volume of 6329 ft^3 to the nearest tenth of a foot

Answers

Answer:

22.9

Step-by-step explanation:

( just look up "diameter of a sphere caculator")

PLEASE HELP, I'LL GIVE BRAINIEST!!!
What is b?

Answers

Answer:

B is 6

Step-by-step explanation:

When y is zero the x on the other side will represent B, because that would be the Y-intercept

Find the volume of a pyramid with a square base, where the area of the base is 7.5\text{ ft}^27.5 ft
2
and the height of the pyramid is 4.6\text{ ft}4.6 ft. Round your answer to the nearest tenth of a cubic foot.

Answers

Answer:

17.9 m^3

Step-by-step explanation:

I NEED HELP FAST OR ILL FAIL
Draw a graph of kinetic energy against mass using the table. To plot a point, use the circle tool. To draw a line between points, use the line tool. To move a point or line, use the select tool. Once you’ve finished drawing the line, describe its shape in a text box on the graph.



here is the table Mass of Student
(kilograms) Kinetic Energy
(joules) Constant Speed
(meters/second)
27 121.5 3
36 162.0 3
45 202.5 3
54 243.0 3
64 288.0 3
73 328.5 3

Answers

Answer:

Step-by-step explanation: I failed to get this right for yall XD

The equation of line is y = ( 1/2 ) mv² , where m is the mass of the student and y is the kinetic energy

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let y represent the kinetic energy and mass is m

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

The equation for kinetic energy is K = ( 1/2 )mv²

The constant speed v = 3 m/s

So , the linear equation is

y = { 121.5 , 162 , 202.5 , 243 , 288 , 328.5 }

x = { 27 , 36 , 45 , 54 , 64 , 73 }

The slope m = y / x

On simplifying , we get

m = 121.5 / 27 = 4.5

And , the equation of line is

y - 121.5 = 4.5 ( x - 27 )

Adding 121.5 on both sides , we get

y = 4.5x

Now , plotting the points on the graph , we get a straight line

Hence , the equation of line is solved and the graph is plotted

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ3

ABCD is not drawn to scale. Based on the angle measures given, ABCD
a parallelogram.
A. must be
B. must not be
C. may or may
not be

Answers

Answer:

C.

Explanation:

If we had the final value of C, we would be able to determine whether or not the ABCD is parallelogram. Hope this helps you out!!

Answer:

it must not be a parallelogram because it's angle is not supplementary

Shawheen puts the cost of a weekend trip⁠

Answers

Answer:

I need a problem

Step-by-step explanation:

Please fix your question

What is the area of this triangle:

Answers

Answer:
28 ft
Step-by-step explanation:
The equation is base × height ÷ 1/2
Therefore this would be your equation and solution -

7 × 8 = 56
56 ÷ 2 = 28

(3x + 5)(4x^2 + 8x + 40)

Answers

Step-by-step explanation:

= ( 3x + 5 ) ( 4x² + 8x + 40 )

= 3x ( 4x² + 8x + 40 ) + 5 ( 4x² + 8x + 40 )

= 12x³ + 24x²+ 120x + 20x² + 40x + 200

= 12x³ + 24x² + 20x² + 120x + 40x + 200

= 12x³ + 44x² + 160x + 200

Answer:

12x^3 +44x^2 +160x +200

Step-by-step explanation:

Distribute:

(3x+5)(4x^2 +8x+40)

3x(4x^2 +8x+40) +5(4x^2 +8x+40)

Then it would be:

(12x^3 +24x^2 +120x) + (20x^2 + 40x +200)

therefore the soloution is:

12x^3 +44x^2 +160x +200

A bouncy ball is dropped from a height of 16ft and always rebounds of the distance of the previous fall.
What distance does it rebound the 5th time?
What is the total distance the ball has travelled after this time?

Answers

16x5=80 cause if it bounces 16 times 5 times then

I NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1. x² - 16x = -12

2. x² - 16x + 64 = -12 + 64

3. (x - 8)² = 52

4. x - 8 = ± √52

5. x = 8 ± √52

6. x = 8 ± 2√13

Step-by-step explanation:

1. Move the constant to the other side of the equation:

x² - 16x +12-12 = 0-12

x² - 16x = -12

2. Find the new value of c by using the formula [tex](\frac{b}{2} )^{2}[/tex]

[tex](\frac{-16}{2} )^{2}\\\\(-8)^{2} \\\\c =64[/tex]

3. Plug the new value of c into the equation. Make sure to add it to both sides of the equation, because if you do something to one side, you must do it to the other:

x² - 16x + 64 = -12 + 64

x² - 16x + 64 = 52

4. Form a perfect sqaure by factoring -16 and 64 by figuring out two numbers that have a sum of -16 and a product of 64:

-8 + (-8) = -16
-8 · (-8) = 64

(x - 8)²

Plugging this into the equation:

(x - 8)² = 52

5. Take the square root of both sides:

√(x - 8)² = √52

x - 8 = √52

6. Isolate x:

x - 8+8 = 2√52+8

x = 8 ± 2√52

52 can be squared, so:

x = 8 ± 2√13

hope this helps!

Select the graph that represents h = -16t^2+ 80.

Answers

Answer:

None

Step-by-step explanation:

the slope has t to second power. So, the graph needs to be a parabola. Means second one is wrong.The slope is negative so the parabola is downward facing, so third one is wrong. When you plug in 0 for t, y becomes 80, so (0,80) point needs to be along the line. So first and second are wrong.

If first one was shifted letward so the vortex was at (0.80), that would be the correct option, but not how it is not.

is 11/2 greater, less or equal to 6/1

Answers

Answer:

6/1>11/2

Step-by-step explanation:

11/2=5.5

6/1=6

Find the surface area of the cylinder

Answers

[tex]\bold{FULL ANSWERS:}[/tex]

If f(x)=6x+1 and g(x)=2x^2-5x, what is f+g

Answers

Answer:

2x²+x+1

Step-by-step explanation:

you are adding the functions  together so it is collecting like terms

        6x+1

+ 2x²-5x      

 2x²+x+1

please help with this math problem. ​

Answers

Answer: C

Step-by-step explanation:

find the values of a and b such that x squared-4x+9= (x+a) squared+b

Answers

Answer:

a = - 2, b = 5

Step-by-step explanation:

expand the right side using FOIL and compare the coefficients of like terms on both sides.

(x + a)² + b

= x² + 2ax + a² + b

compare terms with x² - 4x + 9

coefficients of x- term

- 2a = 4 ( divide both sides by - 2 )

a = - 2

compare constant terms

a² + b = 9

(- 2)² + b = 9

4 + b = 9 ( subtract 4 from both sides )

b = 5

Saritza will find the area of the rectangle by tiling it with unit squares. The sides: 5/6 and 2/3. The question: Which is the appropriate side length for the unit square to tile Saritza’s rectangle to find the area? The answers: 1/9 yard
1/6 yard
1/3 yard
1/2 yard.

Answers

A rectangle is a 2-dimensional shape with equal opposite sides. The appropriate side length for the unit square to tile Saritza’s rectangle to find the area will be 1/9 yard

How to find the area of a rectangle

A rectangle is a 2-dimensional shape with equal opposite sides.

Area of a rectangle = Length * width

Given the following parameters:

length = 5/6  yard

width = 2/3

Find the area

Area = 5/6 * 2/3
Area = 5/9 square units

The appropriate side length for the unit square to tile Saritza’s rectangle to find the area will be 1/9 yard

Learn more on area of rectangle here: https://brainly.com/question/2607596

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