5) The radius of a circle is 6mm. If the sector area is 14.14 mm2, what is the degree measure of the sector?

Answers

Answer 1

Answer:

Step-by-step explanation:

sector area = angle/360 * pi * r^2

14.14 = angle/360 * 22/7 * 6^2

14.14 = angle/360 * 22/7 * 36

(360 * 14.14 * 7)/(22 * 36) = angle

angle = 44.99 = 45 degrees


Related Questions

not good with these someone should help me:( picture included

Answers

Answer:

Volume=2/6cu.ft

Step-by-step explanation:

.........................

option B

write the equation of a line through the points (2,3) and (-1,-9)

Answers

Answer:

with the points (2,3) and (-1,-9) the answer is y=4x+10

Step-by-step explanation:

you have to do (x1,y1) (x2,y2) thats for each point

the equation to get the slope is y2-y1 divided by x2,x1

to get the y-intercept to plug in one of the points to the slope-intercept equation

y=4x+5

I picked the points (2,3) but you should get the same answer with the other points

3=4(2)=5

3=8+5

3=13

-3+-3

=10 thats your y intercept.

i need the missing blanks .

Answers

Answer:

K, (-3.5,-5), E, (3.5, 3)

Step-by-step explanation:

cathy uses 7.9 pints of blue paint and white paint to paint her bedroom walls 3/4 of this amount is blue paint and the rest is white paint how many pints of white paint did she use to paint her bedroom

Answers

Answer:

1.975 pints of white paint

Step-by-step explanation:

Let blue paint represents by 'b' and white paint represents by 'w'.

Then according to the question

b + w = 7.9 pints .......(1)

Amount of blue paint = [tex]\frac{3}{4}[/tex] of the total amount

                                   = [tex]\frac{3}{4}\times 7.9[/tex]

                                   = 5.925 pints

Hence the amount of blue paint is 5.925 pints.

Now putting the value of 'b' in equation (1)

5.925 + w = 7.9

w = 7.9 - 5.925

w = 1.975 pints

Cathy used 1.975 pints of white paint to paint her bedroom.

What is equivalent to -1/4y -2 1/4y + 1/2 (4-2y) a) -3y + 2 b) -3 1/2y + 2 c) -4y + 4
d) -4 1/2y + 2

Answers

Answer:

B. -3 1/2y + 2

Step-by-step explanation:

Our expression is: [tex]\frac{-1}{4} y-2\frac{1}{4} y+\frac{1}{2} (4-2y)[/tex].

Let's first distribute out that parentheses. Remember that distribution is simply taking the sum of the product of the outside term with each of the inside terms. Here, the outside term is 1/2 and the inside terms are 4 and -2y:

[tex]\frac{1}{2} (4-2y)=\frac{1}{2} *4+\frac{1}{2} *(-2y)=2-y[/tex]

Now, we have:

[tex]\frac{-1}{4} y-2\frac{1}{4} y+2-y[/tex]

We want to combine like terms, which means combining all the terms with y in them:

[tex]\frac{-1}{4} y-2\frac{1}{4} y-y+2=\frac{-1}{4} y-\frac{9}{4} y-\frac{4}{4} y+2=\frac{-1-9-4}{4} y+2=\frac{-14}{4} y+2=\frac{-7}{2} y+2[/tex]

Remember that -7/2 can be written as the mixed number -3 1/2, so our final answer is:

-3 1/2y + 2

The answer is thus B.

~ an aesthetics lover

Can y'all help my little sister i am workin right now so i can't answer but pleaseee.

Answers

number 1 is 4 and number 2 is 2

A bag has 4 blue buttons, 2 yellow buttons, and 5 brown buttons. What is the probability of pulling a brown button?

Answers

Answer: 5/11

Step-by-step explanation:

There are 11 options, and 5 of them give the outcome you want.

5/11

5/11

4+2+5= 11

5 out of 11 buttons pulled were brown, so the probability is 5/11

Find the hypotenuse of a right triangle with the side length of 7 and an angle of 64 degrees.

Answers

It’s 24 with equals than 37 plus 8

Answer:

16.0 (to 3 s.f.)

Step-by-step explanation:

Please see the attached picture for full solution.

A sample space consists of 80 separate events that are equally likely. What is the probability of each? A sample space consists of 80 separate events that are equally likely. What is the probability of each?

Answers

Answer:

1/80

Step-by-step explanation:

The probability of selecting each of the event in the sample space is; 1/80

How to Find the Probability?

We are given;

Sample Space = 80 separate events

Now, we are told that each event is equally likely to be selected.

Thus;

Probability of selecting each event = 1/80

Read more about Probability at; https://brainly.com/question/251701

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Sandy was given this function. f(x)=3x2−24+1/3 She used the method of completing the square to rewrite the function. In this second step of her process, r and s are real numbers. f(x)=3(x2−8x+r)+1/3+s What are the values of r and s? Enter your answers in the boxes.

Answers

Answer:

[tex]r = 16[/tex], [tex]s = -48[/tex]

Step-by-step explanation:

The values of [tex]r[/tex] and [tex]s[/tex] can be found with the help of algebraic manipulation on the second-order polynomial described on statement:

[tex]f(x) = 3\cdot x^{2} - 24\cdot x + \frac{1}{3}[/tex]

[tex]f(x) = 3\cdot (x^{2} - 8\cdot x) + \frac{1}{3}[/tex]

[tex]f(x) = 3\cdot (x^{2} - 8\cdot x + 16 - 16) + \frac{1}{3}[/tex]

[tex]f(x) = 3\cdot (x^{2}-8\cdot x + 16) + \frac{1}{3} - 48[/tex]

By comparing each expression, the results are presented below:

[tex]r = 16[/tex], [tex]s = -48[/tex]

What is the mean and median of 25,50,58,54,55

Answers

Answer:

median = 58

mean= 48.4

Step-by-step explanation:

to find the mean you add all of the numbers and divide it by 5 in this case

the mean is 48.2
the median is 54

Reduce the following mixed number 2 2/8

Answers

Answer:

2 1/4

Step-by-step explanation:

2 2/8

The top and bottom of the fraction can be divided by 2

2 1/4

Humberto deposited $50 in a new account at his bank. The bank pays 5.3% annual simple interest on this account. Humberto makes no additional deposits or withdrawals. How much money will be in his account at the end of 5.5 years?

Answers

Answer:

$58.415

Step-by-step explanation:

Initial value: 50 dollars

Independent variable: 5.3%

Dependent variable: Y

This equation can be written in slope intercept form:

[tex]y=mx+b[/tex]

[tex]y= 1.53x+50[/tex]

x= the number of years

[tex]y= 1.53(5.5)+50[/tex]

[tex]y=8.415+ 50[/tex]

[tex]y= 58.415[/tex]

100 POINTS!!!!!! the following stem and leaf plot shows the number of hours that mrs. dixon's students spent on their pre calc work last week. what is the mean absolute deviation for the data

Answers

Answer:

11.2467

Step-by-step explanation:

First we need to find the mean

Add up all the data and divide by number of points)

(6+7+8+10+12+13+14+17+17+17+18+19+21+23+24+24+25+27+31+31+32+36+36+39+41+45+45+46+49+50)/30

261/10

26.1

Then to find the mean absolute deviation take each value and find the absolute value from the mean and sum it and then divide by the number of points

((26.1 -6)+(26.1-7)+(26.1-8)+(26.1-10)+(26.1-12)+(26.1-13)+(26.1-14)+(26.1-17)+(26.1-17)+(26.1-17)+(26.1-18)+(26.1-19)+(26.1-21)+(26.1-23)+(26.1-24)+(26.1-24)+(26.1-25)+(27-26.1)+(31-26.1)+(31-26.1)+(32-26.1)+(36-26.1)+(36-26.1)+(39-26.1)+(41-26.1)+(45-26.1)+(45-26.1)+(46-26.1)+(49-26.1)+(50-26.1))/30

11.2467

Answer:

11 16/75

Step-by-step explanation:

Find the mean: sum/n

783/30

26.1

Find individual |x - 26.1| and add them:

|6-26.1| + |7-26.1| + ...... + |50-26.1|

= 20.1 + 19.1 + .... + 23.9

= 336.4

M.A.D = 336.4/30

11 16/75

two integers that multiply to 18 and add to -11

Answers

Answer:

-9 and 2

Step-by-step explanation:

Sarah is buying plants and soil for her garden! The soil Sarah wants costs $3.50 per bag, and the plants she wants are $8 each. Sarah can buy at most 20 items, as this is all she can fit in her car, and she cannot spend more than $150. Let x represents the number of bags of soil and y represents the number of plants:

Answers

Answer:

x+y ≤20

3.50 x +8 y ≤150

Step-by-step explanation:

Hi, the rest of the question is:

How do you write a system of linear inequalities to model the situation?

So, for the first inequality:

The sum of the number of soil bags (x) and plants(y) bought must be less or equal to 20.

x+y ≤20

For the second inequality:

The product of the number of soil bags (x) and the price of each bag (3.50) ; plus the number of plants bought(y) and the price of each plant (8) must be less or equal to 150.

3.50 x +8 y ≤150

In conclusion, the system is:

x+y ≤20

3.50 x +8 y ≤150

A circle has a center at (4, -7) and a radius of 4 units.
Write the equation of the circle.
Which one is the right answer below-

Answers

Answer:

The third one

Step-by-step explanation:

The equation for a circle is [tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]

(h, k) is the center

if anyone know probability stuff pls help w this!!

Answers

Answer:

A - 9/34

B - 7/34

Step-by-step explanation:

A girl grabs a lollipop - 9/34 (Event A)

A boy grabs a fruit chew - 7/34 (Event B)

Because there are 34 possibilities in total....

Thanks!

The probability that Shruti succeeds at any given free-throw is 80%, percent. She was curious how many free-throws she can expect to succeed in a sample of 12 free-throws.


She simulated 25 samples of 12 free-throws where each free-throw had a 0.8, point, 8 probability of being a success.


Shruti counted how many free-throws were successes in each simulated sample. Here are her results:


Use her results to estimate the probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.

Give your answer as either a fraction or a decimal.

Answers

Answer:

0.5584 probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either she makes it, or she does not. The probability of making a free throw is independent of other free throws. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The probability that Shruti succeeds at any given free-throw is 80%, percent.

This means that [tex]p = 0.8[/tex]

Sample of 12 free throws:

This means that [tex]n = 12[/tex]

Use her results to estimate the probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.

[tex]P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 10) = C_{12,10}.(0.8)^{10}.(0.2)^{2} = 0.2835[/tex]

[tex]P(X = 11) = C_{12,11}.(0.8)^{11}.(0.2)^{1} = 0.2062[/tex]

[tex]P(X = 12) = C_{12,12}.(0.8)^{12}.(0.2)^{0} = 0.0687[/tex]

[tex]P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) = 0.2835 + 0.2062 + 0.0687 = 0.5584[/tex]

0.5584 probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.

Answer:0.8

Step-by-step explanation:in 5 of the 25 stimulated trials, scrutiny continued federal than 10 successes

Find the surface area of a right cone that has a diameter of 11.2 feet and a height of 9.2 feet. Round your answer to the nearest hundredth.

Answers

Answer:

S=288ft^2

Step-by-step explanation:

d=11.2ft, h=9.2ft

r=d/2=11.2/2=5.6

e=√r^2+h^2=√5.6^2+9.2^2

e=10.77ft

s=πr^2+πre

s=π(5.6)^2+π(5.6) (10.77)

s=91.67π

s≈288ft^2

If the slant height of the cone is 10.77 feet and the radius of the base circle is 5.6 feet. Then the surface area of the cone is 189.48 square feet.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The height of the cone is 9.2 feet and the diameter is 11.2 feet. Then the radius will be

r = d/2

r = 11.2/2

r = 5.6

Then the slant height of the cone will be

[tex]l = \sqrt{5.6^2 + 9.2}\\\\l = 10.77 \ \rm ft[/tex]

Then the surface area of the cone will be

[tex]\rm Surface \ area = \pi rl\\\\Surface \ area = \pi \times 5.6 \times 10.77\\\\Surface \ area = 189.48 \ ft^2[/tex]

More about the geometry link is given below.

https://brainly.com/question/7558603

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Which is the correct way to model the equation-+8 = 7x+(-8) using algebra tiles?
1 positive x-tile and 8 positive unit tiles on the left side; 7 positive x-tiles and 8 positive unit tiles on the right side
8 positive unit tiles on the left side; 7 positive x-tiles and 8 negative unit tiles on the right side
1 negative x-tile and 8 positive unit tiles on the left side; 7 positive x-tiles and 8 negative unit tiles on the right side
8 positive x-tiles and 1 negative unit tile on the left side; 8 negative X-tiles and 7 positive unit tiles on the right side
VX

Answers

Answer:

Step-by-step explanation:

1 negative x-tile and 8 positive unit tiles on the left side; 7 positive x-tiles and 8 negative unit tiles on the right side

Answer:

the answer is c

Step-by-step explanation:

For a field trip 27 students rode in cars and the rest filled three buses. How many students were in each bus if 147 students were on the trip?

Answers

Answer:

40 students per bus

Step-by-step explanation:

147 (Og #)-27(Number riding cars, irrelevant)=120

120/3 (# of buses)= 40 students per bus

Answer:

40 students

Step-by-step explanation:

First, let’s find how many students rode the buses.

There was a total of 147 students on the trip, and 27 rode in cars. The rest rode in buses.

The difference between 147 and 27 will be how many took buses.

Subtract 27 from 147

147-27=120

120 students rode the buses. There were 3 buses, and the students were evenly divided between each bus. Divide 120 by 3.

120/3=40

Therefore, 40 students were on each bus.

3x-2y=2 in slope intercept form

Answers

Answer:

y= - 3/2x + 1

2x² - x-6=0 resuelve

Answers

Answer:

x = -3/2          x=2

Step-by-step explanation:

2x² - x-6=0

Factor

(2x     ) (x      ) =0

6 = 2*3

2*-2 +3 = -1

(2x  +3   ) (x  -2    ) =0

2x+3 =0      x-2 =0

2x = -3            x=2

x = -3/2          x=2

You start with a penny which doubles each day for 30 days. How much money would you have after 30 days?



Answers

Answer:

$5,368,709.12

Step-by-step explanation:

Kono Dio Da!!

Answer:

5368709.12

Step-by-step explanation:

i just did this earlier

The function f(x)=200/x + 10 models the cost per student of a field trip when x students go on the trip. How is the parent function f(x)=1/x transformed to create the function f(x)=200/x + 10

Answers

Answer:

Step-by-step explanation:

We need to explain the transformations applied to 1/x to get f(x). We get f by following the following steps.

1. Multiply 1/x by 200 to get the function 200/x. This represents taking the graph of 1/x and expanding it vertically by a factor of 200.

2. Sum 10 units to 200/x. This represents a vertical shift of 10 units to the graph of 200/x.

Construct a histogram to display for each given data set.

The data for the circumferences of the pumpkins in the Jeffiers' family pumpkin crop are 22.1, 35.6, 15.8, 36.9, 40.0, 28.5, 38.4, 20.4, 25.8, 34.1, 39.9, 42.2, 24.3, 22.7, 19.8, 27.9, 22.2, 34.3, 40.4, 20.6, 38.2, and 18.1. Use 10 sx < 20 as the first interval.

Answers

Answer:

See attachement

Step-by-step explanation:

The interval 0-20 on vertical axis will be skipped on paper graph and graph will start from 20.

Prove that DJKL~ DJMN using SAS Similarity Theorem. Plot the points J (1,1), K(2,3), L(4,1) and J (1,1), M(3,5), N(7,1). Draw DJKL and DJMN.

Answers

Answer and Step-by-step explanation: The triangles are plotted and shown in the attachment.

SAS Similarity Theorem is by definition: if two sides in one triangle are proportional to two sides of another triangle and the angles formed by those sides in each triangle is congruent, the triangles are similar.

For the triangles on the grid, we know that ΔJKL and ΔJMN have a congruent angle in J as shown in the image. To prove they are similar, we find the slope of sides KL and MN:

Slope of KL:

slope = [tex]\frac{y_{K} - y_{L} }{x_{K} - x_{L} }[/tex]

slope = [tex]\frac{3-1}{2-4}[/tex]

slope = -1

Slope of MN:

slope = [tex]\frac{y_{N} - y_{M} }{x_{N} - x_{M} }[/tex]

slope = [tex]\frac{1-5}{7-3}[/tex]

slope = -1

Since the slopes of KL and MN are the same and the angle is congruent, we can conclude that ΔJKL~ΔJMN.

I need answers asap​

Answers

Answer:

22/24

Step-by-step explanation:

what is the answer to 10% of 90?

Answers

Answer:

9

Step-by-step explanation:

Answer:

10% of 90 is 9

Step-by-step explanation:

10% of a number is like taking 1/10 of the original number.

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