I need help on this ​

Answer:

Step-by-step explanation:

Perimeter of a sector

The circumference of a circle is 2 pi r.

pi = 3.14

r = 21 cm

The angle of this particular sector is 60 degrees.

So the formula for this sector is P = 2*r + 60/360 * 2* pi * r

Now all you need do is plug the numbers in.

P = 2 * 21 + 1/6 * 2 * 3.14 * 21

P = 42 + 21.98

P = 63.98

Area of the sector

Area of a circle = pi * r^2

Area of a sector = theta / 360 * pi * r^2

theta = 60 degrees

area of this sector = (60/360) * 3.14 * 21^2

Area of this sector = (1/6) * 3.14 * 441

Area of this sector = 230.79

[tex]\bold{\huge{\pink{\underline{ Solution }}}}[/tex]

We have ,

We know that,

[ Perimeter of sector = Arc length + radius + radius ]

[tex]\bold{\blue{ Perimeter \: of \: Sector = }}{\bold{\blue{\dfrac{\theta}{360°}}}}{\bold{\blue{× 2πr + r + r }}}[/tex]

Subsitute the required values in the above formula :-

Length of the arc of OAB

[tex]\sf{=}{\sf{\dfrac{ 60°}{360°}}}{\sf{×2πr + 2r }}[/tex]

[tex]\sf{=}{\sf{\dfrac{ 6}{36}}}{\sf{×2×21π + 2 × 21 }}[/tex]

[tex]\sf{= }{\sf{\dfrac{1}{6}}}{\sf{ × }}{\sf{\dfrac{22}{7}}}{\sf{× 42 + 42 }}[/tex]

[tex]\sf{= }{\sf{\dfrac{1}{3}}}{\sf{ × }}{\sf{\dfrac{11}{7}}}{\sf{ × 42 + 42 }}[/tex]

[tex]\sf{= }{\sf{\dfrac{1}{3}}}{\sf{× 11×6 + 42 }}[/tex]

[tex]\sf{ = 11 × 2 + 42 }[/tex]

[tex]\sf{= 22 + 42 }[/tex]

[tex]\bold{\red{= 64 \: cm}}[/tex]

Thus, The perimeter of the sector OAB is 64 cm

We have to find the area of sector OAB

We know that,

[tex]\bold{\blue{ Area \: of \: sector = }}{\bold{\blue{\dfrac{\theta}{360°}}}}{\bold{\blue{× πr² }}}[/tex]

Subsitute the required values in the above formula :-

Area of sector OAB

[tex]\sf{=}{\sf{\dfrac{60°}{360°}}}{\sf{× πr² }}[/tex]

[tex]\sf{=}{\sf{\dfrac{6}{36}}}{\sf{× π × 21 × 21 }}[/tex]

[tex]\sf{=}{\sf{\dfrac{1}{6}}}{\sf{× π × 21 × 21 }}[/tex]

[tex]\sf{=}{\sf{\dfrac{1 }{6}}}{\sf{× 441π}}[/tex]

[tex]\sf{=}{\sf{\dfrac{1}{6}}}{\sf{× 441 × }}{\sf{\dfrac{22}{7}}}[/tex]

[tex]\sf{=}{\sf{\dfrac{1}{6}}}{\sf{ × 63 × 22}}[/tex]

[tex]\sf{=}{\sf{\dfrac{1}{6}}}{\sf{× 1386 }}[/tex]

[tex]\bold{\red{= 231 \: cm²}}[/tex]

Hence, The area and perimeter of the sector OAB is 64 cm and 231cm²

Answer:

No solution

Step-by-step explanation:

(√(2x+3))^2 =(√(2x+33))^2

2x+3 = 2x+33

Answer: 14i-5

Step-by-step explanation:

Add the imaginary numbers first and then the natural numbers

Answer:

[tex]4^8[/tex]

Step-by-step explanation:

Formula: [tex](a^b)^c = a^{bc}[/tex]

Solve:

-Chetan K

Answer:

4

Step-by-step explanation:

ㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇ

Answer:

hi it -2 3

Step-by-step explanation:

Answer:

1/18 there you go

Step-by-step explanation:

Answer:

We generally know consecutive even integer numbers are 2 , 4 , 6, 8, 10 ............

So we can see there is difference of 2 in consecutive even integer.

So if we let first even integer as 2n.

So we will let three consecutive even integer as 2n , 2n+2 , 2n+4

Their sum is 54.

So we can write











So n = 8

The expression f(n) = 13 - 2n represents a arithmetic progression with {a} = 13 and {d} = - 2.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Given is the expression as follows -

13 - 2n

We can write the expression as a function of (n) as -

f(n) = 13 - 2n

for {n} = 1, we can write - f(1) = 13 - 2 = 11

for {n} = 2, we can write - f(1) = 13 - 4 = 9

for {n} = 3, we can write - f(1) = 13 - 6 = 7

In the similar way we can continue further. We get the sequence as -

13, 11, 9, 7, .....

This is a arithmetic progression with {a} = 13 and {d} = - 2.

Therefore, the expression f(n) = 13 - 2n represents a arithmetic progression with {a} = 13 and {d} = - 2.

To solve more questions on expressions, visit the link below -

brainly.com/question/14591508

#SPJ2

Answer:

16. 40°

17. 40°

18. 50°

19. 45°

20. 135°

Step-by-step explanation:

16. angles opposite to each other are equal

17. 180 - 140 = 40

18. 90 - 40 = 50

19. 65 + 70 = 135

180 - 135 = 45

20. 145 + 80 = 225

360 - 225 = 135

hope this helps :)

Answer:

7/6 or 1 1/6

Step-by-step explanation:

when you add or subtract fractions, you have to have a common denominator. in this case, your common denominator is 6

1/2=3/6

2/3=4/6

add the numerators and keep the denominator 6

4+3=7

7/6 or 1 1/6

Answer:

(x,y)=(19/5,-6/5) I'm not sure it's right, but hopefully it is

The quadrilateral is a trapezoid because it presents two parallel sides with different lengths.

For solving this question, first you need to plot the coordinate points given on the Cartesian graph. After that, you should connect the plotted points with a line. With this, you can see an image of a parallelogram, but you need to inform your specific name.

The image plotted from the coordinate points shows a quadrilateral with two parallel sides and different lengths. Therefore, this quadrilateral is a trapezoid.

Learn more about the trapezoid here:

https://brainly.com/question/24768934

Answer:

266

Step-by-step explanation:

26*12*12/14

sounds

Answer:

[tex]276m^{2}[/tex] total area. 78m breadth.

Step-by-step explanation:

First, do 4 multiplied by 3 to find the area of one carpet. The answer is 12m. Then, do 12m multiplied by 23 to get the total area. The answer will be 276m squared. If you want to find width then do 3m multipled by 26 which is 78m.

Answer:

Correct Statements:

1. The graph of A(t) decreases exponentially

4. The graph of A(t) has a y-intercept at (0,1200)

5. Every year, the cell phone loses 8% of its value.

Step-by-step explanation:

Exponential functions are in the form [tex]y=a(b)^x[/tex], meaning this is a exponential function, so it cannot be linear

a on the exponential function form represents the initial value, otherwise known as the y-intercept, and 1200 is a for the given equation

To find the multiplier, you do 1 -r, and since its 0.92, we do 1-0.92 = 0.08 value per year.

Answer:

Step-by-step explanation:

First find the slope(m) between (0,-5) and (-5,-6)

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{-6-(-5)}{-5-0}[/tex] = [tex]\frac{-1}{-5}[/tex] =    [tex]\frac{1}{5}[/tex]

y = [tex]\frac{1}{5}[/tex]x -5

I attached the graph. I used desmos.

Hope that helps!

Answer:

Y =mx/10+c/80

Point(8x, 80y) lies on Y =mx +c

Answer:

look at the pictures

Step-by-step explanation:

Answer: I think it helps with the square units that both squares have.

Step-by-step explanation:

Area of the smaller frame=9in^2

Area of the larger area

[tex]\\ \rm\hookrightarrow 9(14)=126in^2[/tex]

Answer: B

Step-by-step explanation:

Answer:

u lookn hot tonight baby

Step-by-step explanation:

Answer:

10x

Step-by-step explanation:

Answer:

360°

Step-by-step explanation:

The sum of the exterior angles of any polygon is 360°

sum of exterior angles of decagon = 360°

Answer:

124 miles

Step-by-step explanation:

$14.99 + ($0.80 x m) = $114.19 (where m is miles driven)

$0.80m = $99.20

m = 124

Answer:

sum the previous two terms and then multiply

Answer:

78 ft²

Step-by-step explanation:

The formula for area is:

[tex]Area=length*width[/tex]

A 13 ft by 6ft rectangle means that the length is 13 ft and the width is 6 ft. We can use this information to solve for the area...

[tex]Area=length*width\\Area=13ft*6ft\\Area=78 ft^2[/tex]

Answer:

78 sq feet

Step-by-step explanation:

Area = length × width

If you know two of the sides of the rectangle (that aren't directly across from each other) MULTIPLY the numbers together.

Area = l × w

Area = 13 × 6

Area = 78 sq feet

Answer:

19$

Step-by-step explanation:

Because 19$ 20% off=15.20 and you added taxes]

Have a great day :}

Answer:

I'd say around 95% or 94.737%

Step-by-step explanation:

4750 - 250 = 4500

4750/250 = 1/19

1/19 = 0.052 or close to 5%

4750 x 94.737% = 4500.0075

I hope this helps!