In circle D with m \angle CDE= 122m∠CDE=122 and CD=6CD=6 units, find the length of arc CE. Round to the nearest hundredth.

Answers

Answer 1

Answer:

12.78 units

Step-by-step explanation:

The formula for arc length =

2πr × θ/360

From the question:

θ = 122°

r = 6 units

Therefore, the arc length =

2 × π × 6 × (122/360)

= 12.775810125 units

Approximately to the nearest hundredth = 12.78 units

Therefore, the length of arc CE is 12.78 units


Related Questions

What value of x makes this statement true?
3.2 = 2x + 12

Answers

Answer:

-4.4

Step-by-step explanation:

Find the area of the regular nonagon

Answers

Answer:

267.3

Step-by-step explanation:

area of a regular polygon =

(perimeter * apothem)/2

perimeter: 9 * 6.6 = 59.4

area: 59.4 * 9 = 534.6

534.6/2 = 267.3

area = 267.3

Line p is parallel to line q. Which proof explains why the sum of the interior angles of the triangle must be 180⁰?

Answers

Answer:

See proof below

Step-by-step explanation:

Find the diagram attached.

From the diagram, sum of angle on the straight  line l is 180degrees that is:

<A' + <B' + <C' = 180° .... 1

Also note that

<A = <A' (corresponding angle) ...2

<B = <B' (corresponding angle) ... 3

<C = <C' (vertically  opposite angle) ...4

Substitute  2, 3 and 4 into 1, we will have:

A+B+C = 180°

This shows that the sum of the interior angles of the triangle A  B and C is 180°

Given: sintheta=5/13
Find sin: 2theta

Answers

Answer:

sin 2θ=120/169

Step-by-step explanation:

how is 4(x+3) equal to 12+4x

Answers

Answer:

When distributed, 4(x+3) = 12+4x

The sum of two consecutive even integers is 118. Find the smaller of the two integers.

Answers

Answer:

58 + 60

Step-by-step explanation:

Even integers are always seperated by 2.

What trig function do you use to find x

Answers

Answer: Sine

Step-by-step explanation:

From the point of the angle we can see that x is the opposite. Since x is the opposite and the hypotenus is given then from SOHCAHTOA the trigonometric function used I finding x is sine.

Answer:

sine

Step-by-step explanation:

have a great day and I hope helpful

Alexia surveyed 50 classmates about their favorite ice cream flavors. Each
classmate chose one flavor. The results are shown in the circle graph.
Favorite Ice Cream Flavors
Coffee
14%
Chocolate
42%
Vanilla
Strawberry
18%
How many more of Alexia's classmates chose chocolate than chose vanilla?

Answers

Answer:

8

Step-by-step explanation:


[tex] \sqrt{6 {}^{4} } [/tex]

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{6^4}[/tex][tex]6^2[/tex][tex]36[/tex]

[tex]---------[/tex]

hope it helps..

have a nice day/night!!

If the rectangle below is enlarged using a scale factor of 1.5, what will the perimeter of the new rectangle be?



Group of answer choices

24 in

54 in

16.5 in

33 in

Answers

Answer:

33 in

Step-by-step explanation:

hope this helps i think it's right

YA'LL LOOK

https://picrew.me/image_maker/678875/complete?cd=CoL7ZrEndz

whats the square root of 81

Answers

Answer:

Square root of 81 is 9

Step-by-step explanation:

Carla is solving a math problem. Which answer shows the equation and solution
to x times 3 plus 4 equals 16? *
3x + 16 = 4; x = -4
3x + 4 = 16; x = 4
3x = 4 + 16; x = 2/3
3(x + 4) = 16; x = 4/3

Answers

Last one 3(x+4) x=4/3

The deposit on one can is $0.05, what is the deposit on 23 cans?

Answers

Answer: $1.15

Step-by-step explanation:

Data 1 can(c)=0.05

23 cans(c)=x

Only step, multiply 23x0.05=1.15

Reason: Since 1 c=0.05, multiplying is by 23(number of cans) will get us the rate of 23 c

Answer: $1.15(Don't forget the dollar sign)

I hope this helps!

What is the perimeter of the kite?
a.44
b.140

Answers

Answer:

B.) 140 is your answer for your problem

Ciana Thomas drove her car 11,500 miles last year. Her fixed costs totaled $1,214 and her variable costs totaled $2,450. What was her cost per mile?

Answers

Answer:

11502

Step-by-step explanation:

URGENT!!

The length of a rectangle is five more than double the width. Find the dimensions if the
perimeter is 88m.

Answers

Answer:

13, 31

Step-by-step explanation:

Set the width as x.

Length: 2x + 5

Perimeter:

(x) + (2x + 5) + (x) + (2x + 5) = 88

Simplify.

6x + 10 = 88

Solve.

6x = 78

x = 13

Substitute this into the previous equations

Width: 13

Length: 31

Answer:

The length is 31m and the width is 13m.

Step-by-step explanation:

Start by translating the word problem into an equation. 5 more than double the width is written as 2w + 5. Then substitute that into the equation for the perimeter. It should look something like this:

88 = 2(2w +5) + 2w

Then simplify by combining like terms and solve for the width (w).

88 = 6w + 10

78 = 6w

13 = w

Now that we have the width, we can plug it back into the equation we made for the length.

l = 2w + 5

l = 2(13) + 5

l = 26 + 5

l = 31

I hope this could help!

please answer below :-)

Answers

Answer:

Ur answer is B!!!

Step-by-step explanation:

I have no time to explain but trust me ive had this question

Oh the answer would be letter choice B,

Solve.
-7} + (-5) + 8 = 0
6
-21
-4.5
3

Answers

Answer: -4=0

Step-by-step explanation:

Find the volume of a drum with a radius of 7 inches and a height of 15 inches

Answers

Answer:

pi*15*7^2=735pi=2309 (to the nearest whole number)

use the scatter plot and the trend line to show answer a-c. Write an equation for the trend line. predict the value of y when x =21 Predict the value of x when y = 150

Answers

Answer:

See Explanation

Step-by-step explanation:

This question is incomplete, as the required scatter plot is not included in the question. I will answer your question with the attached plot.

Solving (a): The equation

Pick any [tex]two[/tex]  [tex]points[/tex]on the [tex]trend[/tex] line

[tex](x_1,y_1) = (30,40)[/tex]

[tex](x_2,y_2) = (80,70)[/tex]

[tex]y = 0.6x + 22[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

[tex]m = \frac{70 - 40}{80-30}[/tex]

[tex]m = \frac{30}{50}[/tex]

[tex]m = 0.6[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 0.6(x - 30) + 40[/tex]

[tex]y = 0.6x - 18 + 40[/tex]

[tex]y = 0.6x + 22[/tex]

Solving (b): y, when [tex]x = 21[/tex]

[tex]y = 0.6x + 22[/tex]

Substitute [tex]x = 21[/tex]

[tex]y = 0.6 * 21 + 22[/tex]

[tex]y = 12.6 + 22[/tex]

[tex]y = 34.6[/tex]

Solving (c): x when [tex]y=150[/tex]

[tex]y = 0.6x + 22[/tex]

Substitute [tex]y=150[/tex]

[tex]150 = 0.6x + 22[/tex]

Collect like terms

[tex]0.6x = 150 -22[/tex]

[tex]0.6x = 128[/tex]

Solve for x

[tex]x = \frac{128}{0.6}[/tex]

[tex]x = 213.3[/tex]

Naveen earns Rs 55,000 per month .He spends 3/5 of his income every month and saves the rest of the money .Find his monthly savings ?

Answers

Answer:

Rs.22000

Step-by-step explanation:

Given data

Naveen earns Rs 55,000 per month

He spends 3/5 of his income every month

Let us find the amount he spends

=3/5*55,000

=165000/5

=Rs.33000

Hence the savings is

= 55,000-33000

=Rs.22000

Factor the expression. 10y+15+25y

Answers

Answer:

25y+15

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

5(7y+3)

Step-by-step explanation:

The probability of getting a sum of 7 or 11 by rolling two dice is 2/9 True or false please answer my question​

Answers

Answer:

IT IS FALSE

Step-by-step explanation:

The numbers 360 and 400, written as the product of its prime factors, are
360 = 3 2 x 2 3 x 5 400 = 2 4 x5 2
a) Using the fact 400 = 2 4 x5 2 , find the square root of 400.

Answers

Answer:

20

Step-by-step explanation:

find the quotient of 45÷ 5

Answers

The quotient of 45 divided by 5 is 9

IF U ANSWER THIS U ARE SWAG
Is the triangle equilateral, isosceles, or scalene? Pls explain ur answer too

Answers

Equilateral: "equal"-lateral (lateral means side) so they have all equal sides. Isosceles: means "equal legs", and we have two legs, right? Also iSOSceles has two equal "Sides" joined by an "Odd" side. Scalene: means "uneven" or "odd", so no equal sides.

Use the diagram to answer the question.
35.6 m
23.4 m
15.2 m
23.4 m
What is the area of the triangle?
OA. 82.40 m²
B. 97 60 m2

Answers

Answer:

B97.60

Step-by-step explanation:

I got b bc if u add all the number up u get that answer.

What is Limit of h (x) as x approaches 10 plus? 12.5 13 18.5 19

Answers

Answer:

the answer is C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

A dog shelter had 19 puppies last month. This month, 38 puppies are at the shelter. What is the percent of change?

im in 7th grade

Answers

Answer:

I believe the answer MAY be 1.9%

yeah what notsosmartxo said

What were the dimensions of the original photo? 11 inches by 11 inches 5 inches by 5 inches 3 + 4 StartRoot 2 EndRoot inches by 3 + 4 StartRoot 2 EndRoot inches 3 4 StartRoot 2 EndRoot inches by 3 4 StartRoot 2 EndRoot inches

Answers

Answer:

11x11 inches

Step-by-step explanation:

You are missing the first part of the problem, which is the following:

"Miriam reduced a square photo by cutting 3 inches away from the length and the width so it will fit in her photo album. The area of the reduced photo is 64 square inches. In the equation (x – 3)2 = 64, x represents the side measure of the original photo. What were the dimensions of the original photo?"

With this in mind, we just need to solve the equation and determine the value of x. The equation is:

(x - 3)² = 64

Solving this, we have:

x - 3 = √64

x - 3 = 8

x = 8 + 3

x = 11

Therefore, we can conclude that the original dimensions of the photo are 11x11 inches.

Hope this helps

Answer:

11x11

Step-by-step explanation:

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