(a) The radius of a circle is 5.6 cm. Find the angle in degrees subtended by an arc of 22 cm at the
centre of the circle.



DO NO A PLEASE​

(a) The Radius Of A Circle Is 5.6 Cm. Find The Angle In Degrees Subtended By An Arc Of 22 Cm At Thecentre

Answers

Answer 1

Answer:

225 degrees

Step-by-step explanation:

Given the following data;

Radius, r = 5.6 cmLength of arc = 22 cm

To find the angle in degrees subtended by an arc;

Mathematically, the length of the arc of a circle is given by the formula;

S = rA

Where;

S is the length of the arc.A is the angle measured in radians.

Substituting the values into the formula, we have;

22 = 5.6 * A

[tex] A = \frac {22}{5.6} [/tex]

A = 3.9286 radians.

Next, we would convert the value of the angle in radians to degrees;

Conversion:

[tex] 1 \; radian = \frac {180}{\pi} \; degrees [/tex]

[tex] 3.9286 \; radians = X \; degrees [/tex]

Cross-multiplying, we have;

[tex] X = \frac {180}{\frac {22}{7}} * 3.9286 [/tex]

[tex] X = \frac {180 * 7}{22} * 3.9286 [/tex]

[tex] X = \frac {1260}{22} * 3.9286 [/tex]

[tex] X = 57.2727 * 3.9286 [/tex]

X = 225.0015 ≈ 225 degrees


Related Questions

Using your knowledge of common Pythagorean triples , find the hypotenuse in a triangle with shorter side lengths 25 units and 60
units.
The triple is a multiple of a common primitive Pythagorean triple. Which one?
A. (5,12,13)
B. (8,15,17)
C. (3,4,5)
D. (7,24,25)

Answers

Answer: A

Step-by-step explanation:

20
f(x)
g(x)
The tables given are for the linear functions f(x) and
g(x). What is the input value for which f(x) = g(x) is true?
x -2
-2
X=
3
4
-1
3
-1
3
0
3
0
2.
1
3
1
1
N
3
N
0
3
3
3
-1

Answers

Answer:

1 is the wrong answer i dont know the answer plz help him

Which parabola(s) have an axis of symmetry of x = -1



Answers

Answer:

b,c

Step-by-step explanation:

The axis of symmetry is along the vertex

a has a vertex at x=1

b has a vertex at x = -1

c has a vertex at x=-1

d has a vertex at x =2

2 Answers: Choice B and C

Explanation:

Notice how the vertical line through the center of these parabolas is at x = -1. In other words, the vertical line cuts through -1 on the x axis. Reflecting one half of the parabola over this line will result in the other half.

(2/3)^x-1=27/8, Find x. Please, a step-by-step explanation.​

Answers

Answer:

x=-2

Step-by-step explanation:

(2/3)^x-1=27/8

Rewriting the right hand side

(2/3)^x-1=(3/2)^3

We know that a^-b = 1/a^b  Hint: { 1/(3/2) = 2/3}

(2/3)^x-1=(2/3) ^-3

The bases are the same, so the exponents are the same

x-1 = -3

x -1+1 = -3+1

x = -2

Please help……………………….

Answers

Let’s start with the easy part: half of the base is 3.

Therefore, 3 x h + 1 = 18

3 x h = 3h and 3 x 1 = 3

3h + 3 = 18

To solve these equations, you have to do the inverse. First you would need to minus 3:

3h = 15

3h is a simpler way of saying 3 x h, so the inverse would be a divide.

h = 5

Find the circumference


please help :)

Answers

Answer:

Step-by-step explanation:

circumference = [tex]\pi[/tex]* diameter

circ = 3 * 32

circ = 96

a triangle with 2 equal sides is called​

Answers

Answer:

isosceles triangle.

Step-by-step explanation:

Answer:

Isosceles triangle

Step-by-step explanation:

In isosceles triangle, two sides are equal and the angles opposite to these equal angles are also equal. The third side of the triangle is called base

Solve for x.
x - 42 = 98 – 9x
x = [?]

Answers

Answer:

x = 14

Step-by-step explanation:

x - 42 = 98 – 9x

Add 9x to each side

x - 42+9x = 98 – 9x+9x

10x-42 = 98

Add 42 to each sid

10x-42+42 = 98+42

10x = 140

Divide by 10

10x/10 =140/10

x = 14

can i get some help please

Answers

Answer:

(1,-5)

Step-by-step explanation:

4x + 2y = -6

-3x -2y = 7

in this case you can just add the two items together

x = 1

4(1) + 2y = -6

2 y = -10

y = -5

find the midpoint between this pair of points (-4,10) and (14,0)

Answers

Answer:   (5, 5)

Explanation:

The x coordinates are -4 and 14. They add up to -4+14 = 10. Then this cuts in half to get 10/2 = 5. This is the x coordinate of the midpoint.

We'll follow this same idea for the y coordinates as well.

10+0 = 10 which cuts in half to 10/2 = 5, and this is the y coordinate of the midpoint.

Therefore, the midpoint is (5,5).

Coincidentally, the x and y coordinates are the same for the midpoint (both are 5). This won't always happen.

Find the value of x. Round the length to the nearest tenth.

Answers

Answer:

5.1

Step-by-step explanation:

[tex]tan \ 25 = \frac{opposite \ side}{adjacen \ side}\\\\tan \ 25 =\frac{x}{11}\\\\0.4663 =\frac{x}{11}[/tex]

0.4663 * 11 = x

x = 5.1293

x = 5.1

justificantion for x=8/15

Answers

Answer:

15x=8

as according to law if a number is multiplied at one side then it will be divide to other side

so

x=8/15

Step-by-step explanation:

plz mark me asbrain liest

A triangle has an area of 10 square feet. The height is 10 feet. What is the length of the base (in feet)?

Answers

Answer:

2 feet

Step-by-step explanation:

for area of a triangle it's (height times width) divided by 2, and 10 times 2 divided by 2 is 10

Answer:

Length of base of triangle = 2 feet

Step-by-step explanation:

Given:

Area of triangle = 10 square feet

Height of triangle = 10 feet

FInd

Length of base of triangle

Computation:

⇒ Area of triangle = (1/2)(Base)(Height)

⇒ 10 = (1/2)(Base)(10)

⇒ 10 = Base(5)

⇒ Length of base of triangle = 10 / 5

Length of base of triangle = 2 feet

8y-(-9.3z+9) how do i do this

Answers

The answer is 8y+9.3z-9
8y+9.3z-9.0
I hope this helps?

At the end of a game, Fran had 14 points and Calvin had -22 points. How many points did Fran win? A: -36 B: 8 C: -8 D: 36

Answers

Answer:

36

Step-by-step explanation:

Number of points Fran won = points Fran had - points Calvin had

14 - (-22)

= 14 + 22

= 36

please help!! 10 points! Need 2 and 5 answered!

Answers

Answer:

2. given

5. substitution

Step-by-step explanation:

that the perimeter is 12 is simply a given fact. in the same way as the shape of the object is defined as square.

nothing was calculated, this information is simply there at the beginning, is "given" to us.

step 5 simply takes step 3 and substitutes all sides by the same side, as (per definition) all sides in a square are equal. so, every side can stand in for every other side.

What is the slope of the line that contains these points? x- 31, 36,41,46 y- 10,8,6,4

Answers

[tex] - \frac{2}{5} [/tex]

NEED THIS ASAP HELPPP

Answers

Answer:

Step-by-step explanation:

The answer is D 28 degrees

What is the surface area of the cylinder with height 4 km and radius 2 km? Round
your answer to the nearest thousandth.

Answers

Answer:

75.398

Step-by-step explanation:

Surface area,

2πr²+2πrh

= 2π×2²+2π×2×4

= 75.3982237..

= 75.398 (rounded to the nearest hundredth)

please help me and show work on a piece of paper​

Answers

Let's start with proving that side AB is parallel to side CD

First off, let's find the slope of line AB. So we'll use the slope formula.

[tex]A = (x_1,y_1) = (2,-1)\\\\B = (x_2,y_2) = (1,3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{3 - (-1)}{1 - 2}\\\\m = \frac{3 + 1}{1 - 2}\\\\m = \frac{4}{-1}\\\\m = -4\\\\[/tex]

The slope of AB is -4.

Now let's find the slope of line CD.

[tex]C = (x_1,y_1) = (6,5)\\\\D = (x_2,y_2) = (7,1)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{1 - 5}{7 - 6}\\\\m = \frac{-4}{1}\\\\m = -4\\\\[/tex]

The slope of CD is also -4.

Recall that parallel lines always have equal slope (but different y intercepts).

This proves that AB is parallel to CD.

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

We'll follow the same steps to show that AD is parallel to BC.

Find the slope of AD

[tex]A = (x_1,y_1) = (2,-1)\\\\D = (x_2,y_2) = (7,1)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{1 - (-1)}{7 - 2}\\\\m = \frac{1 + 1}{7 - 2}\\\\m = \frac{2}{5}\\\\[/tex]

Now find the slope of BC

[tex]B = (x_1,y_1) = (1,3)\\\\C = (x_2,y_2) = (6,5)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{5 - 3}{6 - 1}\\\\m = \frac{2}{5}\\\\[/tex]

We get 2/5 each time, so these lines are parallel as well.

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

In short, the first section shows that AB is parallel to CD. The second section proved that AD is parallel to BC.

Because we have two pairs of parallel opposite sides, we can say that ABCD is a parallelogram.

Edit: I have attached the diagram below.

Choose the scatter plot that shows a negative correlation.




Click on the graph until the correct graph appears.

Answers

The middle one:) because the slope is negative , the first one is positive while the 3rd one has no correlation

Which of the following best describes the pattern in the diagram as you move
from the top to the bottom row?
1
2
3
A. Row 7 will contain 10 circles.
ООО
B. Each row increases by 1 circle.
O C. Each row increases by 2 circles.
o
D. Row 9 will contain 12 circles.

Answers

Answer:

B

Step-by-step explanation:

The result of dividing (x3 + x2 – 22x – 40) by
(x – 5) is x2 + 6x + 8. Select all of the factor(s) of x2 + 6x + 8.

(x – 4)

(x + 4)

(x – 2)

(x + 2)

Answers

Answer:

(x + 2) (x + 4)

Step-by-step explanation:

Before looking at my explanation make sure next time you are going to ask another question write the numbers that include exponents like this: x^2 instead of x2

Factor out x^2:

x + x

Factor out 6x:

Since it is in the bx form we’ll need two numbers be add so it can be equivalent to 6x

Answer: 4 and 2

Factor out 8:

4 x 2

Now start with the 8 and 6x

(? + 4) + (? + 2)

Then finish it off with x

(x + 4) (x + 2)




Answer: b and d

Step-by-step explanation:

edge21/22

One way to test for one to one functions is to...

Group of answer choices :

restrict the function's domain.

put the equation into the quadratic formula.

perform a horizontal line test.

perform a vertical line test.

Answers

Answer:

Perform a horizontal line test

Solve for 2. Round to the nearest tenth of a degree, if necessary.
D
to
64
с
37
B
PLS HEP

Answers

Step-by-step explanation:

sin X = 37/64

sin X = .578

X = sin ^-1 (.578)

X = 35.3°

hope it's correct

Select the correct answer.
y
4
8
6
4
2
X
-8
-
- 2
6
8
2
4
-6-
-8
What is the domain of the function graphed above?
OA.
S71
12]
OB.00 < < 0
OC. 2 OD. -10 < x < 10

Answers

Answer:

The answer is B because it's all real numbers since it won't stop

Step-by-step explanation:

The domain of the function shown is -∞ ≤ x ≤ +∞

What is the domain of a function?

The domain and range are the main characters of a function. The domain of a function is the inputs of the given function on the other hand the range signifies the possible outputs we can have.

Given is a graph we need to determine its domain,

We know,

The domain of a function represents the set of coordinates in the x-axis that belongs to the curve of the function itself. After a brief inspection, we see that function has an horizontal asymptote at y = 1, and no vertical asymptotes. Therefore, the domain of the function shown is -∞ ≤ x ≤ +∞.

Hence, the domain of the function shown is -∞ ≤ x ≤ +∞

Learn more about domain click;

https://brainly.com/question/28135761

#SPJ7

A model is an estimate or approximation of a data set. In the real world, there are too many variables to know exactly what will happen. However, if a model is a good fit, then it can be used to make predictions about what will happen. With a useful model, a predicted value should be a good estimate of an observed value. What did you include in your response? Check all that apply. A model is an estimate of a data set. A useful model can be used to make predictions. Predictions should be a good estimate of what will actually happen.

Answers

Answer:

A model is an estimate of a data set.

A useful model can be used to make predictions.

Step-by-step explanation:

There are various models used in mathematics which are used to predict variables. The regression model is used to predict the relation between two variables. There are various other models which help to predict the future events and outcome of these events.

Find questions attached.
Show workings.
You can skip question (a)​

Answers

The value of x is 40°

Answer:

Solution given:

In triangle BCE

<C+<B+<E=180°[sum of interior angle of a triangle]

<C+60°+x°=180°

<C=180°-60°-x°

<C=120°-x°

again

<A=<C[exterior angle of a cyclic quadrilateral is equal to the opposite interior angle]

2x=120-x

2x+x=120°

3x°=120°

x°=120°/3°

x°=40°

Now we have to,

find the required value of x.

Then in ∆ BCE,

By sum of interior angle of a triangle.

→ <C+<B+<E = 180°

→ <C+60°+x = 180°

→ <C = 180-60-x

→ <C = 120-x

Now by the exterior angle of,

A cyclic quadrilateral is equal to the opposite interior angle.

→ <A = <C

→ 2x = 120-x

→ 2x+x = 120

→ 3x = 120

→ x = 120/3

→ x = 40°

Hence, 40° is the value of x.

Estimate the answer to
(5.9 x 10^4) x (9.8 x 10^5)
Give your answer in standard form.​

Answers

Answer:

5•782×10^-5

Step-by-step explanation:

(5•9×10^4((9•8×10^5)

(59×10^-1×10^4)×(98×10^-1×10^5)

(59×98) (10^-1×10×4×10-1×10^5)

5782×10^-1+^4+^-1+^5

578×10^7

5•782×10^7-^2

5•782×10^-5

Thanks Hope It Help

Melissa asked 10 students how many courses they have taken so far at her college. Here is the list of answers.
10, 26, 8, 22, 16, 23, 20, 8, 13, 18
What is the percentage of these students who have taken fewer than 15 courses?

Answers

Answer:

Step-by-step explanation:

The question has asked who has taken fewer than 15 courses

There are 4 options that are fewer than 15: 10, 8, 8, 13

4/10  (10 is total number of options/students)

To find the percentage you...

Other Questions
how do i find upper and lower quartileplease help will give brainliest Jack can build 1/5 of a shed in the same time Kyle build 5/8 of a shed. How much of a shed will jack have built when Kyle has finished building 1 shed. SOMEONE PLEASE HELP ME, ILL GIVE BRAINLIESTActivity 11: Making InferencesDirections: As explained earlier in this chapter, an inference is something a reader learns from a text through information that was never directly given, stated, or explained by the author. Review the information about inferences and the story if necessary, and then answer the question below.Incorrect Answer1.Remember that an inference is information given in a story that is not directly stated by the author, but it is still very important in order to understand a story. Place a checkmark next to each inference the reader needed to make in order to understand "The Cask of Amontillado":Montresor and Fortunato are wearing costumes because it is carnival time.One reason Montresor is wearing a costume is to be sure no one recognizes him when he is walking back to his house with Fortunato.Fortunato was a competitive person because he got jealous when he thought Luchesi was going to taste the Amontillado.Montresor leads Fortunato down into the catacombs where many people were buried.Montresor and Fortunato were down in the catacombs until midnight.Montresor was upset because Fortunato had seriously offended him and wanted revenge.No one ever found Fortunato, who Montresor buried alive down in the catacombs.Montresor kept giving Fortunato wine because he knew he could not resist it and wanted Fortunato to keep following him. Describe genetic______ and gene_________ as mechanisms of evolution. CName the painting displayed above. Describe its artistic characteristics and the subject matter.Mark this and retumSave and ExitNenSubmit Explain the difference between macro-sociology and micro-sociology. Identify one macro-level theory and one micro-level theory. Explain how each theory views society. Who was responsible for establishing the League of Nations, an organization that would settle disagreements betweennations? Marion is a great manager and he has a number of special skills. In particular, Marion has the ability to get his subordinates to do more than would be normally expected. Which of the following terms best describes Marion?a. Transactional leaderb. Supportive leaderc. Charismatic leaderd. People-oriented leader Your customer calls you in the morning and tells you to lock the interest rate at the 5.5% you initially disclosed. You commit to lock the rate, but your day becomes busy and you aren't able to lock it until later in the day. When you go to lock the rate, you notice that the pricing has changed since this morning and the rate of 5.5% is now going to cost an additional $500.00. What is the most appropriate course of action? A 0.40-kg mass attached to the end of a string swings in a vertical circle having a radius of 1.8 m. At an instant when the string makes an angle of 40 degrees below the horizontal, the speed of the mass is 5.0 m/s. What is the magnitude of the tension in the string at this instant Which of the following is a solution to 2sin2x+sinx-1=0? Based on the excerpt, the conclusion that personal mood seems to affect honesty" is best supported by which of thefollowing statements?O Relaxing summer and fall holidays generally cause payment rates to drop.O Stressful fall and winter holidays generally cause payment rates to drop.O Relaxing summer and fall holidays generally cause theft rates to increase.Stressful fall and winter holidays generally cause theft rates to remain steady. a. The amount of each lease payment will be increased by the option price. b. The lessee must decrease the present value of the lease payments by the present value of the option price. c. There is no impact as the option does not enter into the transaction until the end of the lease term. d. The lessee must increase the present value of the lease payments by the present value of the option price. how do you correct series in a sentence Building A is 170 feet shorter than building B. The total height of the two building is 1490 feet. Find the height of each building. Which of the following scatterplots would have a trend line with a negative slope? please give me truth answer1) who is ja Na ?2) who love oh ja Na ??? IdiomsSalad Days what does that mean Why did the Prince go down on one knee? binod said tome,"you have done your work.( change into indirect speech)