A sector of a circle has a central angle to 10° and arc length 28 pi units what is the radius of the circle

Answers

Answer 1

Answer:

Radius = 504units

Step-by-step explanation:

Angle = 10°

Length of arc = 28π units

L = ∅/360 × 2πr

28π = 10/360 × 2πr

28π = 1/36 × 2πr

2πr = 28π × 36

π cancelled off.......

2r = 28 × 36

r = (28 × 36)/2

r = 28 × 18

r = 504units

Answer 2

The radius of circle is 504 unit.

What is sector?

A sector is referred to as a component of a circle made up of the circle's arc and its two radii. It is a section of the circle made up of the arc's circumference and the radii of the circle at its ends. A slice of pizza or a pie can be used as an analogy for the form of a circle's sector.

We have,

arc length = 28π unit

Central angle = 10°

so, length of Arc

28 π= 2πr (10/360)

28 = 2r (1/36)

14 = r/36

r= 504 units

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Related Questions

HELP I REALLY NEED HELP The following is an incomplete paragraph proving that ∠WRS ≅ ∠VQT, given the information in the figure where segment UV is parallel to segment WZ. :

Segments UV and WZ are parallel with line ST intersecting both at points Q and R respectively

According to the given information, segment UV is parallel to segment WZ while angles SQU and VQT are vertical angles. Angle VQT is congruent to angle SQU by the Vertical Angles Theorem. Because angles SQU and WRS are corresponding angles, they are congruent according to the Corresponding Angles Postulate. Finally, angle VQT is congruent to angle WRS by the _____________________.

Which Property of Equality accurately completes the proof? (5 points)


Reflexive
Subtraction
Substitution
Transitive

Answers

Answer: the answer is transitive

we are given a line of thought trying to prove different entities proven to be congruent by different argument or proof. Evenutally, the two are associated using a property called transitivity. This property is used to associate A and C when A is equal to B and B is equal to C

i need help with my math pls someone

i need help with my math pls someone

Answers

Answer:17°

17° is the answer

i need help with my math pls someone

Answer:

\(x = 17\)

Step-by-step explanation:

Because of the Alternate Angle Theorem, the two parallel lines indicate that:

\((4x+7)^\circ = 75^\circ\)

Knowing this, we can solve for \(x\):

\(4x+7 = 75\\4x = 68\\x = \frac{68}{4}\\x = 17\)

The college of business was interested in comparing the attendance for three different class times for a business statistics class. The data follow. Day Monday Tuesday Wednesday Thursday Friday 8:00 a.m. Class 25 30 32 32 35 9:30 a.m. Class 30 32 35 40 33 11:00 a.m. Class 25 30 40 39 30 What are the block and treatment degrees of freedom? Multiple Choice a. 5 and 3b. 3 and 15 c. 4 and 2 d. 5 and 5

Answers

The block degrees of freedom are 2 and the treatment degrees of freedom are 2. Therefore, the correct answer is c. 4 and 2. The college of business is comparing the attendance for three different class times (8:00 a.m., 9:30 a.m., and 11:00 a.m.) across five days (Monday to Friday).

In this case, the class times represent treatments, and the days represent blocks.
To calculate the degrees of freedom for treatments and blocks, you can use the following formulas:
- Treatment degrees of freedom = (number of treatments - 1)
- Block degrees of freedom = (number of blocks - 1)
Applying these formulas:
- Treatment degrees of freedom = (3 - 1) = 2
- Block degrees of freedom = (5 - 1) = 4
Therefore, the correct answer is c. 4 and 2 (4 block degrees of freedom and 2 treatment degrees of freedom).

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work out 4 1/2×1 2/5 give your answer in its simplest form

Answers

the answer is 6. This is because if you change 1/2 and 2/5 to 5/10 and 4/10 and multiple it you get 20/10

if a lawyer charges $120 an hour (or any fraction of an hour), how much is a bill for 3 hours and 20 minutes? what is the equation for this problem?

Answers

Answer: If a lawyer charges $120 an hour (or any fraction of an hour), how much is a bill for 3 hours and 20 minutes? What is the equation for this problem? answer choices l (x) = 120x l (x) = 120 [x-1] l (x) = 120 [x] l (x) = 120 [x+1]

Thank me later.

Can someone explain how to do it.

Can someone explain how to do it.

Answers

Answer:

31.4 ft

Step-by-step explanation:

Arc length = θ/360 × 2πr

= 150/360 ×2π×12

= 31.4 ft

5/7 divided by 1/7?? Plez help

Answers

The answer will be 14/5

Answer:5

Step-by-step explanation:When we divide two fractions, such as 5/7 ÷ 1/7, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.

Divide 13 apples among 4 friends

Answers

Answer:

Each friend gets 3 1/4 apple

Step-by-step explanation:

13 divided by 4 simplified is 12 divided by 4 is 3 and 1 divided by 4 is .25 or 1/4

Answer:

3.25

Step-by-step explanation:

Name 4 collinear points

Name 4 collinear points

Answers

Answer:

B) H, N, K, I

Step-by-step explanation:

Collinear points are points that are on the same line. Therefore, the answer is B.

The points H, N, K, and I are collinear which is the correct answer that would be an option (B).  

What are the collinear points and the coplanar?

Collinear points are defined as points that are along a straight line represented by a collinear. Because a straight line may be drawn continuously between any two points, they are always collinear. There can be a collinear relationship from three or more points, although it is not necessary.

A group of points that are coplanar, or a planar surface that extends endlessly in all directions, are all located on the same plane. Four or more points may or may not be coplanar, however, any two or three points are always coplanar.

We have given a line and a planar surface with points H, N, K, I, M, N, O, J, K, and L.

At the line, points H, N, K, and I are collinear.  

Hence, the points H, N, K, and I are collinear which is the correct answer that would be an option (B).  

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The first line has a y-intercept of −6 and a slope of 3. The second line has a y-intercept of 8 and a slope of −1/2.

How would you graph this???

Answers

Answer:

Graph points where the first line passes through (2,0) and (0,-6)

For the second line graph points when the line passes through (0,8) and (16,0)

Step-by-step explanation:

Use the double integral of a cross product to find the surface area of x = z² + y that lies between the planes y = 0, y = 2, z = 0, and z = 2.

Answers

To find the surface area of the given surface, x = z² + y, lying between the planes y = 0, y = 2, z = 0, and z = 2, we can use a double integral of a cross product.

In detail, we can express the surface as a parameterized form: r(u, v) = (v, u, u² + v), where u represents the variable for y and v represents the variable for z. The partial derivatives with respect to u and v are found to be ∂r/∂u = (0, 1, 1) and ∂r/∂v = (1, 0, 1).

Next, we calculate the cross product of these partial derivatives: ∂r/∂u × ∂r/∂v = (-1, -1, 1). The magnitude of this cross product gives us the surface area element.
Now, we set up the double integral to integrate the magnitude of the cross product over the given region: ∫∫D ∥∂r/∂u × ∂r/∂v∥ dudv, where D represents the region defined by the given planes y = 0, y = 2, z = 0, and z = 2.

By evaluating this double inteintegralal, we obtain the surface area of the given surface within the specified region.

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By evaluating this double inteintegralal, we obtain the surface area of the given surface within the specified region.

To find the surface area of the given surface, x = z² + y, lying between the planes y = 0, y = 2, z = 0, and z = 2, we can use a double integral of a cross product.

In detail, we can express the surface as a parameterized form: r(u, v) = (v, u, u² + v), where u represents the variable for y and v represents the variable for z. The partial derivatives with respect to u and v are found to be ∂r/∂u = (0, 1, 1) and ∂r/∂v = (1, 0, 1).

Next, we calculate the cross product of these partial derivatives: ∂r/∂u × ∂r/∂v = (-1, -1, 1). The magnitude of this cross product gives us the surface area element.

Now, we set up the double integral to integrate the magnitude of the cross product over the given region: ∫∫D ∥∂r/∂u × ∂r/∂v∥ dudv, where D represents the region defined by the given planes y = 0, y = 2, z = 0, and z = 2.

By evaluating this double inteintegralal, we obtain the surface area of the given surface within the specified region.

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.Which of the following cases would most likely result in a team member engaging in social loafing?
A. When the group is excessively large
B. When individual contributions to a group are identifiable
C. When valuable contributions of individual members are emphasized
D. When rewards are linked to individual performance
E. When the group size is at an appropriate level

Answers

When the group is excessively large is the case that would most likely result in a team member engaging in social loafing. Social loafing is a phenomenon where individuals in a group tend to reduce their effort and contribution when working collectively. This happens when individuals feel that their contribution is not identifiable, and the group is too large for them to feel accountable for their actions. Therefore, in larger groups, individuals may feel less responsible for the overall outcome, leading to decreased motivation and effort.
Your answer: A. When the group is excessively large.

In this case, a team member is more likely to engage in social loafing because their individual contributions may not be easily identifiable, making it easier for them to "hide" within the group without actively participating. In contrast, options B, C, D, and E emphasize individual contributions, rewards, and optimal group size, which would discourage loafing and promote engaging behavior.

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 Shelby baked 48 cookies with 6 scoops of flower. how many scoops of flour does Shelby need in order to bake 64 cookies? Solve using unit rates.

Answers

Answer:

8 scoops of flour

Step-by-step explanation:

It asks for you to solve using unit rates so we need to find out the rate of how much flour you need to bake a single cookie since the question is about how many scoops of flour Shelby needs to bake 64 cookies.

So first, do 6/48, which is 1/8.

It takes 1/8 scoop of flour to bake one cookie.

Unit rate: 1/8 scoop of flour per cookies.

Now, we can multiply 1/8 by 64 since 64 is the number of cookies Shelby needs and 1/8 is the amount of flour for one single cookies. 1/8 * 64 = 8.

Shelby needs 8 scoops of flour to bake 64 cookies

HELPPP I forgot to correct these so I have to correct them REALLY quickly

HELPPP I forgot to correct these so I have to correct them REALLY quickly
HELPPP I forgot to correct these so I have to correct them REALLY quickly
HELPPP I forgot to correct these so I have to correct them REALLY quickly

Answers

Answer:

q12 B. q17 D.

Step-by-step explanation:

q12

since the side of cubes are the same,

cube root 216 = 6.

q17.

substitute x = 2 5/8 into the equation

4(2 5/8) + 9(2(2 5/8) +1)

= 66 3/4

how far from the base of a building must a 15-ft ladder be placed so that it reaches 12 ft up the wall?

Answers

The base of the ladder must be placed 3 ft from the base of the building. The total length of the ladder is 15 ft.

1. The ladder must reach 12 ft up the wall, so we need to calculate the distance from the base of the building to 12 ft.

2. The total length of the ladder is 15 ft.

3. Subtract the length of the ladder (15 ft) fromthe desired height (12 ft) to get the distance from the base of the building.

4. 12 ft - 15 ft = -3 ft

5. Since the distance cannot be negative, the base of the ladder must be placed 3 ft away from the base of the building.

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In a supermarket, bottles of lemonade are on a buy one get one half price offer.
The normal price of lemonade is 76p.
How much would it cost to get exactly three bottles of lemonade using this offer?

Answers

Answer:

114p

Step-by-step explanation:

I did the math, I really hope it's correct

The cost to get exactly three bottles of lemonade using the offer will be \(190p\) .

What is expression ?

Expressions is a finite combination of symbols that is well-formed according to rules that depend on the context.

We have,

Normal price of bottle \(=76p\)

And,

Offer is buy one get one half price.

So,

According to the question,

Normal price of one bottle \(=76p\)

Half price of one bottle \(=\frac{76p}{2}=38p\)

So,

Price of three bottles  \(=76*2+38\)

                                    \(=190p\)

So, Price of three bottles is \(190p\) .

Hence, we can say that the cost to get exactly three bottles of lemonade using the offer will be \(190p\) .

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I need help plsssssss

I need help plsssssss

Answers

Answer:

C. y= 7x

Step-by-step explanation:

John is 5 feet 9 inches tall, which is 4.6 inches taller than Kara. How tall is Kara?​

Answers

kara is 5 foot 4.4, or 64.4 inches

Answer:

5 feet 4.4 inches tall

Step-by-step explanation:

Suppose bob's exam score was at the 80th percentile on an exam whose mean was 90. what was bob's exam score?

Answers

The mean score of 90, and percentile of Bob's score of 80, gives Bob's exam score as approximately 92.5%

What is the formula that gives the exam score from the percentile?

The Z-Score of the 80th percentile is 0.8416

The formula for Z-Score is presented as follows;

\(z = \frac{x - \mu}{ \sigma} \)

Where;

\( \sigma = The \: standard \: deviation\)

\( \mu = The \: mean = 90\%\)

x = The given score

Taking the mean as a proportion, we have;

\( \sigma = \sqrt{\frac{\mu \cdot (1-\mu)}{n}}\)

Which gives;

\( \sigma = \sqrt{\frac{0.9 \times (1-0.9)}{100}}= 0.03\)

Therefore, when z = 0.8416, gives;

\(0.8416 = \frac{x - 0.9}{ 0.03} \)

x = 0.8416 × 0.03 + 0.9 ≈ 0.925

Therefore;

Bob's exam score is approximately 92.5%

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the given set is a basis for a subspace w. use the​ gram-schmidt process to produce an orthogonal basis for w.

Answers

y₁ =  [1  -4  0  1] and y₂ = [5  1  -6  -1] is the orthogonal basis for w using Gram-Schmidt process.

Given,

The set;

x₁ = [1  -4  0  1]

x₂ = [7  -7  -6  1]

We have to produce the orthogonal basis for w using the Gram-Schmidt process;

Here,

y₁ = x₁ =  [1  -4  0  1]

Now,

Solve for y₂

y₂ = x₂ - [x₂y₁ / y₁y₁] y₁

That is,

y₂ = [7  -7  -6  1] - ( [7  -7  -6  1] [1  -4  0  1] / [1  -4  0  1] [1  -4  0  1] ) × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - (7 + 28 - 0 + 1) / (1 + 16 + 0 + 1) × [1  -4  0  1]

y₂ = [7  -7  -6  1]  - 36/18 × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - 2  × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - [2  8  0  2]

y₂ = [5  1  -6  -1]

That is,

The orthogonal basis for w using Gram-Schmidt process is,

y₁ =  [1  -4  0  1] and y₂ = [5  1  -6  -1]

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what proportion of customers need an oil change who wait 9 minutes or less?

Answers

The proportion of customers who require an oil change and wait for nine minutes or less is 0.07.

The information provided by the question can be used to calculate the percentage of customers who wait for nine minutes or less, and the percentage of customers who wait for nine minutes or less and require an oil change. This information can be used to find out the ratio between these two percentages, which is the percentage of customers who wait for nine minutes or less and require an oil change.

The proportion of customers who require an oil change and wait for nine minutes or less can be calculated using the following formula:

Proportion of customers who require an oil change and wait for nine minutes or less = (Number of customers who require an oil change and wait for nine minutes or less) / (Total number of customers who wait for nine minutes or less)

The number of customers who wait for nine minutes or less and require an oil change is 35. The total number of customers who wait for nine minutes or less is 500. Thus, the proportion of customers who require an oil change and wait for nine minutes or less is:

Proportion of customers who require an oil change and wait for nine minutes or less = 35/500 = 0.07 or 7%.

Thus, 7% of customers who wait for nine minutes or less require an oil change.

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Complete Question:

Using classes of 0-4, 5-9, and so on, show the proportion of customers needing an oil change who wait 9 minutes or less.

The owner of an automobile repair shop studied the waiting times for customers who arrive at the shop for an oil change. The following data with waiting times in minutes were collected over a 1-month period:

2 5 10 12 4 4 5 17 11 8 9 8 12 21 6 8 7 13 18 3

Can somebody help me

Can somebody help me

Answers

Answer:

15,000

Step-by-step explanation:

15×1000

Answer:

Look at the solution I gave properly. Not only the answer.

Can somebody help me

Given the diagram below, what is the length of segment EF?

A. 4
B. 4.4
C. 5
D. 4.8

Given the diagram below, what is the length of segment EF?A. 4B. 4.4C. 5D. 4.8

Answers

The calculated length of the segment EF is (c) 5

How to determine the length of segment EF?

from the question, we have the following parameters that can be used in our computation:

The trapezoid

The length of segment EF can be calculated using

EF = 1/2 * Sum of BC and AD

using the above as a guide, we have the following:

EF = 1/2 * (3.3 + 6.7)

Evaluate

EF = 5

Hence, the length of segment EF is (c) 5

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How many groups of 10 in 100?

Answers

Answer:

10.

Step-by-step explanation:

You get this answer by doing 10 x 10, which is 100.

10 groups of 10 in 100.

There are 10 groups of 10 In the number 100

Use the distributive property to expand (simplify): 4(x + 7)​

Answers

this is the simplest form 4x+28

Answer:

4x+28

Step-by-step explanation:

Hi there! :)

The Distributive property is here to help us simplify!

Let's remember what this useful property states.

It states that

a(b+c)=ab+ac

Now, let's use this property to simplify the given expression:

4(x+7)

4x+28

Hope it helps!

Enjoy your day!

\(\bf{-Misty ~Sparkles-\)

Give the gradients and the intercepts on the y-axis of the lines with the following equations. Sketch each line.

Give the gradients and the intercepts on the y-axis of the lines with the following equations. Sketch

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The gradient is the x-coefficient. The y-intercept is the constant. These are listed in the table in the first attachment. The graphs are shown in the second attachment.

Give the gradients and the intercepts on the y-axis of the lines with the following equations. Sketch
Give the gradients and the intercepts on the y-axis of the lines with the following equations. Sketch

Answer:

9514 1404 393

Step-by-step explanation:

eeeeeeeeeeeeeeeeeeeeeeeeeeeeee pokimain soo howt :)

A line passes through (-3, -2) and is perpendicular to 3x - 2y = 7.

What is theFind the image of A(6, -4) after it is reflected over the line y = - 2, then reflected over the line x = 1.

(-4, -4)
(-4, 0)
(6, 2)
(-4, 6)

Answers

I think is it (-4,6) is the answer

0.7006652 / ____________ = 0.1234 Which of the following goes in the blank to make the second equation true?​

Answers

Answer: 0.08646208568

Step-by-step explanation:

Division and Multipulication are the invesre of eachother . So when we do the inverse of division, we will get an equation of 0.7006652 ×0.1234.

Fit for Family offers a membership fee of $450 for the year or the option to pay $41 per month. How much more do you save each month by choosing the annual membership fee?

Answers

Answer:

$42

Step-by-step explanation:

The yearly membership is $450.

The monthly membership is $41. This means that in a year, the membership fee will be:

41 * 12 = $492

We have to subtract the yearly fee from this.

That means that if you choose the yearly membership over the monthly membership, you'll save:

492 - 459 = $42

Answer:

The correct answer is $42.

The equation t= 13p + 108 can be used to estimate the cooking time t in
minutes for a stuffed turkey that weighs p pounds. Solve the equation for p.
Then find the weight of a turkey that requires 285 minutes to cook.

Answers

Answer:

Step-by-step explanation:

(285)=13p+108

177=13p

p= 13.62 lbs

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