Calculate the area of a sector of a circle that subtends an angle of 45° at the center of the circle, radius 14cm
a) 11cm² b) 77cm²
c) 25cm² d) 56cm²​

Answers

Answer 1

Calculate the area of the full circle:

Area = PI x r^2

Area = 3.14 x 14^2  = 615.44 sq. cm

45 degrees is 1/8 of a circle, multiple the area of the circle by 1/8

615.44 x 1/8 = 76.93, round to 77 cm^2

The answer is B. 77 cm^2


Related Questions

You just had dinner at your favorite restaurant. The total bill is $63.50 not including tax. What would your total be if you left a 15% tip and the sales tax of 9.5%?

Answers

$79.06

15% of 63.50=9.525
9.5% of 63.50=6.0325
9.525+6.0325=15.5575
63.50+15.5575=79.0575
79.0575 rounds to 79.06
so $79.06
The total would be $79.05.
Because 63.5*0.15=9.525 and 63.5*0.095=6.0325. 9.525+6.0325=15.5575.
63.50+15.5575=79.0575 or $79.05

MARKING BRAINLIEST!!!!

Answers

Answer:

12

Step-by-step explanation

At a sale, dresses were sold for $24 each. This price was 12% of a dress's original price. How much did a dress originally cost?

Answers

Answer:

$200

Step-by-step explanation

24/0.12

=200

Sorry if its wrong :(

Pls help due ASAP ....

Answers

C because that’s where the lien is going

100 points! I will mark brainliest! Only answers if you know it. Random answers WILL be reported

Answers

Answer:

2sqrt5

Step-by-step explanation:

We know that the shortest distance would be with drawing a perpendicular line through BC and A.

BC is y = -2x+1

Therefore a perpendicular line should have slope 1/2

y = 1/2x + b

-3 = 1/2*-3 + b

b = -3/2

y = -2x+1

y = 1/2x - 3/2

-2x+1 = 1/2x - 3/2

-4x+2 = x - 3

5 = 5x

x = 1

y = 1

now of course the graph shows that already, but we're just proving that again

The x-difference is 4, the y difference is 2, so 16+4 = 18, sqrt20 = 2sqrt5

Answer:

Solution given:

AB=

[tex]AB = \sqrt{( - 3 +1 {)}^{2} + ( - 3 - 3 {)}^{2} } = 6.32units[/tex]

[tex]AC= \sqrt{( - 3 - 1) ^{2} + ( - 3 + 1) {}^{2} } = 4.5[/tex]units

[tex]AD= \sqrt{( - 3 - 0) {}^{2} + ( - 3 - 1) {}^{2} } = 5units[/tex]

so shortest distance=AC=4.5units

what's the answer to question c in the graph below

Answers

Answer:

3

Step-by-step explanation:

3is tha answer of pair of shoes..

am i rght

Answer:

3

Step-by-step explanation:

3 is right answer because it is largest pair of number


Help plsssss I will mark as brainlest if correct

Answers

Replace x with a couple of numbers, solve for Y them mark those points on the graph and connect with a line.

See picture:

What value of y makes the equation true -2y+3=-7y+19

Answers

Answer:

16/5

Step-by-step explanation:

-2+3=-7y+19

-2+7y+3=19

5y+3=19

5y=19-3

5y=16

y=16/5

if i have a dog and it barks what do I do

Answers

Answer:

reset the dog

Step-by-step explanation:

Answer:

Put it down, its probably autistic. Pls ark brainliest for the good answer! :)

Step-by-step explanation:

Triangle DAC is isosceles with congruent sides AD and AC. Which additional
given information is sufficient for showing that triangle DBC is isosceles?
Select all that apply.

Answers

Answer:

A, C, E

Step-by-step explanation:

Welcome :)

please help its urgent Proof
that
if A is a subset of B then AnB =A by contrapositive statement​

Answers

Answer:

yes because of a postulate or a theorem

Step-by-step explanation:

Cherie accepted a job through an employment agency. The job pays $1,100 a week. The agency charges 30% of her first 4 weeks pay. Find the amount she owes the agency

Answers

If this job pays 1100 a week, in four weeks Cherie would make 4400. If she’s giving a 30% cut to the agency for four weeks, she’d be giving 330 of every weeks paycheck. At the end of those four weeks, she’d end up giving $1,320 to the agency.

Cherie owes the employment agency amount of $1,320.

What is the Multiplication operation?

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

To determine the amount Cherie owes the agency, we need to calculate 30% of her first 4 weeks of pay.

Since she earns $1,100 a week, the total pay for 4 weeks is $1,100 × 4 = $4,400.

Now that we have the total pay for 4 weeks, we can calculate 30% of that amount by multiplying $4,400 by 0.30.

So, 30% of her first 4 weeks' pay is $4,400 × 0.30 = $1,320.

Therefore, she owes the employment agency $1,320.

Learn more about Multiplication operations here:

brainly.com/question/25834626

#SPJ6

Some help please
Thank you

Answers

Answer:

Step-by-step explanation:

Using pythagoras theorem

AB²+BD²=AD²

5²+BD²=10²

25+BD²=100

BD²=100-25

BD²=75

BD=√75

BD=8.66

For triangle BDC,

Using pythagoras theorem

x²=DC²+BD²

x²=4²+75

x²= 16+75

x²=91

x=9.54

A triangle has sides with lengths of 5 yards, 12 yards, and 15 yards. Is it a right triangle? PLEASE HELP!

Answers

Answer:

The triangle is right angled

Step-by-step explanation:

Explanation:

As the largest side is  

15  yards and smaller sides are  9  yards and  12  yards

from Pythagoras theorem, if the triangle is right angled square of largest side should be equal to sum of the squares of smaller two sides.

Answer:

no its not

Step-by-step explanation:

i did the same question

Assess why Sunni Muslims do not believe in the
Imamate - Please help!!
(100 points and will give brainliest - putting this in maths so ppl will see it!)

Answers

Answer:

Sunni Muslims accept all four leaders, including Abu Bakr and Ali, as the rightful successors of Muhammad. Shi'a Muslims, also called 'the party of Ali', believe that Muhammad chose Ali as his successor rather than having a bloodline successor.

Imamate is the Shi'a belief that all modern imams should be spiritual descendants of the Prophet Muhammad. Shi’a Muslims believe that imams protect the religion and help to guide Muslims along the right path. Today, Shi'a Muslim communities are led by imams, who are seen as having been chosen by God. Shi’a Muslims believe that imams are exemplary individuals who obey all teachings. Shi’a Muslims believe that imams are inspired by God, are without sin and are infallible, which means that they can interpret the teachings of the Qur’an without making any errors.

Today, Shi’a Muslim communities are led by imams, who are seen as having been chosen by God. Imams should be exemplary individuals who obey all teachings.

Origins of Imamate

After the Prophet Muhammad died, the Muslim community had to choose a successor. Abu Bakr, who was Muhammad’s father-in-law and closest friend, became the leader of the Sunni Muslim community.

Sunni Muslims, who make up around 90 per cent of the global Muslim population, agree that the rightful successor to Muhammad was Abu Bakr, Muhammad’s father-in-law. They recognise two further leaders who came after Abu Bakr. They then recognise a fourth leader, Ali (Muhammad’s cousin). Sunni Muslims accept all four leaders, including Abu Bakr and Ali, as the rightful successors of Muhammad.

Shi’a Muslims, also called ‘the party of Ali’, believe that Muhammad chose Ali as his successor rather than having a bloodline successor. After Ali’s death, Shi’a Muslims were led by twelve imams, whom they believe were spiritual successors to the Prophet Muhammad rather than having any family connection to him. This was the beginning of the Imamate. Shi’a Muslims make up around 10 per cent of the global Muslim population.

Hope this helps..!

Step-by-step explanation:

please help me almost done

Answers

Answer:

x = -8

<XCE = 30

Step-by-step explanation:

Remark

In any question like this, there are 8 possible answers. Of the 8, 4 are acute angles and 4 are obtuse. So any pair are either equal to each other, or they are supplementary. In this case the two given angles are equal.

We have a little bit of both in this question.

Solution

3x + 174 = - 7x + 94                  Alternate exterior angles. Add 7x to both sides.

3x+7x +174 = 94                       Combine

10x + 174 = 94                          Subtract 174 from both sides

10x = 94 - 174

10x = - 80                                 Divide by 10

x = - 80/10

x = - 8

===================

Check

3x + 174 = -24 + 174 = 150

-7x + 94 = -7*-8 + 94

-7x + 94 = 56 + 94 = 150

<XCE

<XCE = 180 - (3x + 174)

<XCE = 180 - (-24 + 174)

<XCE = 180 - (150)

<XCE = 30

$18 for 3 bracelets; $30 for 5 bracelets

Answers

Answer: oooo those seem like a good deal

Step-by-step explanation:

if I buy 52 packs of cookies and 16 cookies are in each pack how many cookies do I have all together .

Answers

Answer:

68 cookies

Step-by-step explanation:

Drag each equation and coordinate to the correct location on the table. Not all equations or coordinates will be used. In the table below, quadratic equations are given in standard form. Rewrite each equation in the form that reveals the maximum or minimum value, and then identify the coordinate point of that extreme value.

Answers

Answer:

Standard Form           Equivalent Form            Extreme Values

y=x^2-6x+17                   (x-3)^2+8                        (3,8)

y=x^2+8x+21                  (x+4)^2+5                        (-4,5)

y=x^2-16x+60                 (x-8)^2-4                         (8,-4)

Step-by-step explanation:

1) Standard form:

y=x^2-6x+17

Equivalent Form:

Can be found using completing the square method.

[tex]y=x^2-6x+17\\y=x^2-2(x)(3)+(3)^2-(3)^2+17\\y=(x-3)^2-9+17\\y=(x-3)^2+8[/tex]

So, Equivalent form is: (x-3)^2+8

Extreme value:

Extreme values are basically the minimum and maximum value of the function.

Minimum Value will be found by finding derivative of the function:

The derivate is: 2x-6

Now, put the derivate equal to zero: 2x-6 = 0

[tex]2x=6\\x=6/3 \\x=3[/tex]

Maximum value can be found by putting minimum value in the given function:

Put x = 3 and solve:

[tex](3)^2-6(3)+17\\9-18+17\\9-1\\=8\\[/tex]

So, the extreme values is: (3,8)

2) Standard form:

y=x^2+8x+21

Equivalent Form:

Can be found using completing the square method.

[tex]y=x^2+8x+21\\y=x^2+2(x)(4)+(4)^2-(4)^2+21\\y=(x+4)^2-16+21\\y=(x+4)^2+5[/tex]

So, Equivalent form is: (x+4)^2+5

Extreme value:

Extreme values are basically the minimum and maximum value of the function.

Minimum Value will be found by finding derivative of the function:

The derivate of x^2+8x+21 is: 2x+8

Now, put the derivate equal to zero:

[tex]2x+8 = 0\\2x=-8\\x=-8/2 \\x=-4[/tex]

So, minimum value is: -4

Maximum value can be found by putting minimum value in the given function:

Put x = -4 and solve:

[tex]x^2+8x+21\\=(-4)^2+8(-4)+21\\=16-32+21\\=5[/tex]

So, Maximum value is: 5

So, the extreme values is: (-4,5)

3) Standard form:

y=x^2-16x+60

Equivalent Form:

Can be found using completing the square method.

[tex]y=x^2-16x+60\\y=x^2-2(x)(8)+(8)^2-(8)^2+60\\y=(x-8)^2-64+60\\y=(x-8)^2-4[/tex]

So, Equivalent form is: (x-8)^2-4

Extreme value:

Extreme values are basically the minimum and maximum value of the function.

Minimum Value will be found by finding derivative of the function:

The derivate of x^2-16x+60 is: 2x-16

Now, put the derivate equal to zero:

[tex]2x-16 = 0\\2x=16\\x=16/2 \\x=8[/tex]

So, minimum value is: 8

Maximum value can be found by putting minimum value in the given function:

Put x = 8 and solve:

[tex]x^2-16x+60\\=(8)^2-16(8)+60\\=64-128+60\\=-4[/tex]

So, Maximum value is: -4

So, the extreme values is: (8,-4)

Answer:

the dude above me i right i got i right on the test in edmentum

Step-by-step explanation:

Mark was thinking of a number. Mark doubles it, then adds 11 to get an answer of 52.6. What was the original number?

Answers

Answer:

20.8

Step-by-step explanation:

The first step you need to do is to subtract 11:

52.6 - 11 = 41.6

The second step is to divide it by 2:

41.6 / 2 = 20.8

Mark was thinking of 20.8

Answer:

the original number is 20.8  

Step-by-step explanation:

because  2x  +  11  = 52.6

2x = 41.6  -->x = 20.8

Gloria is an artist and is making paintings for a show 6 months from now. She made a purchase of items she would need in order to create her paintings. The paints and brushes she purchased were enough for all of her paintings for a 6 month period. She also need canvas' to paint on and planned to purchase them as needed over the 6 month period. The equation to represent her total cost is given by T = $38.40c + $2,472.00 where T is the total cost and c is the number of canvas' Gloria purchased. Choose 3 answers to answer the 3 questions. a) How much did Gloria pay for the brushes and the paints? b) How much will Gloria pay for each canvas? c) If Gloria makes a total of 35 paintings, what is her total cost?

Answers

Answer:

$2,472 ; 38.40 ; $3816

Step-by-step explanation:

Given the equation to represent Gloria's cost of painting :

T = $38.40c + $2,472.00 ;

T = total cost ; c = number of canvas' Gloria purchased

General form of a slope-intercept equation :

y = mx + c

m = gradient ; c = intercept

Cost of brushes and paint corresponds to the intercept of the equation : since she has already gotten them on ground.

Hence, Cost of brushes and paint is $2472

B.) cost of each canvas is denoted by the slope of the model = $38.40

C.) if number of painting made = 35

Number of canvas, c = 35

Total cost :

T = 38.40(35) + 2,472.00

Total cost = $3816

What is x in the similar triangles? Please help:)

Answers

Answer:

x = 18

Step-by-step explanation:

Since both right triangles are similar, therefore:

[tex] \frac{2x - 6}{20} = \frac{39}{x + 8} [/tex]

Cross multiply

[tex] (2x - 6)(x + 8) = 39*20 [/tex]

[tex] 2x(x + 8) -6(x + 8) = 780 [/tex]

[tex] 2x^2 + 16x - 6x - 48 = 780 [/tex]

[tex] 2x^2 + 10x - 48 = 780 [/tex]

Subtract 780 from both sides

[tex] 2x^2 + 10x - 48 - 780 = 0 [/tex]

[tex] 2x^2 + 10x - 828 = 0 [/tex]

[tex] 2x^2 + 46x - 36x - 828 = 0 [/tex]

[tex] 2x(x + 23) - 36(x + 23) = 0 [/tex]

[tex] (x + 23)(2x - 36) = 0 [/tex]

x + 23 = 0

x = -23

Or

2x - 36 = 0

2x = 36

x = 18

HELP HELP LOOK BELOW

Answers

Answer:

y= 1/4x - 1

Step-by-step explanation:

it passes through the points (-4,-2) and it is parallel to the line 1/4x+3

after a year how much did nadia make?

Answers

Answer:

Hey!

Step-by-step explanation:

We need to know all of the info on nadia, can you report this question with all the info?

What is x in the equation 5^{3-2x} = 5^{-x}
A) x = 3
B) x = 1
C) x = -1
D) x = -3

Answers

Answer:

The answer is A) x equals 3

The department of transportation was doing a study and found thint at the intersection in front of the school
that an average of 19 cars per minute go through the intersection. Based on this statistic, how many cars
would you estimate go through that intersection in a year?

Answers

there would be about 27663 cars going through a year

−5 − 5/3 =
solve this right and get points!

Answers

Answer:

-6.66666666667

Step-by-step explanation:

Answer:

[tex]=\frac{-20}{3}[/tex]

Step-by-step explanation:

[tex]\frac{-5}{1} -\frac{5}{3} =\frac{-20}{3}[/tex]

8g+7+3g+12 can be written as?​

Answers

Answer:

11g + 19

Hope this helps

Step-by-step explanation:

Answer:

It can be also written as  11g+19.

Step-by-step explanation:

First, you would add the numbers with the 'g'

11g+7+12

then you would add the regular numbers.

11g+19

Yun is curious what proportion of users will click an advertisement that appears on his website. He takes a
random sample of 200 users and finds that 34 of them clicked the advertisement. He's willing to assume
independence between users in the sample.
Based on this sample, which of the following is a 99% confidence interval for the proportion of users that click
the ad?

Answers

Answer:

Step-by-step explanation:

PLEASE HELP URGENT!!!!!
Need to know cos(G), sin(G), and tan(G)
WILL GIVE BRAINLIST

Answers

cos(G) = 8/17

sin(G) = 15/17

tan(G) = 15/8
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