Use the below diagram to find the area of the shaded region if the radius of the circle is 92 inches and the measure of angle ABC is 7pi/15

Use The Below Diagram To Find The Area Of The Shaded Region If The Radius Of The Circle Is 92 Inches

Answers

Answer 1

The area of the shaded region of the circle is 10.972 square inches.

What is the Area of the Sector?

The formula for area of a circle sector is;

A = (θ/360) * πr²

We are given;

Radius of circle = 92 inches

Central angle = 7π/15

Thus;

Area of given sector = (7π/15)/360 * π * 92²

Area of given sector = 7π/15 * 1/360 * π * 92²

Area of given sector = 10.972 square inches

Thus, we can conclude that the area of the shaded region of the circle is 10.972 square inches.

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Related Questions

pls help shading inequalities

Answers

The three inequalities that satisfies all the points in the unshaded region of the graph of inequalities are;

The three inequalities that satisfies all the points in the unshaded region are;

x ≤ 5y ≤ 102•x + y ≥ 10

What are the inequality notation that can be used to represent the unshaded region.

1) The inequality that represents the unshaded region to the left of the vertical dashed line at x = 5 is found as follows;

A region to the left of a vertical dashed line in inequality is represented by the less than or equal to symbol, . The region to the right is represented by

The region to the left of the dashed line, x = 5 is therefore;

x ≤ 5.

2) The region located below the dashed line y = 10 is represented by the inequality;

y ≤ 10

3) The slope, m, of the dashed line that extends from point (0, 10) to point (5, 0) is given by the equation;

m = (0 - 10)/(5 - 0) = -2

The equation of the line is therefore;

y - 0 = -2 × (x - 5) = -2•x + 10

y = -2•x + 10

Which gives;

y + 2•x = 10

2•x + y = 10

The inequality that represents the region to the right of the line 2•x + y = 10 is therefore;

2•x + y ≥ 10

The compound inequality, that represents the unshaded region is therefore;

x ≤ 5y ≤ 102•x + y ≥ 10

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Given the equation of y-1=-9/2(x+7) what is the slope of any line parallel? M= blank

Answers

Answer:

Step-by-step explanation:

y - 1 = -9/2 (x + 7)

Distribute -9/2:

y - 1 = -9/2x - 63/2

Add 1 on both sides to isolate y:

(y - 1) + 1 = (-9/2x - 63/2) + 1

y = -9/2x -61/2

A line parallel to another has the same slope as that line so both slopes are -9/2.

M = -9/2

Important Please Help!!!!

Answers

Answer:

angle bisector

Step-by-step explanation:

the construction shows an angle bisector.

the line EG bisects ∠ FED

Fill in the missing amounts (do not use commas or decimal points.)

Answers

Here are the missing amounts :

A = $2100

B = $300

C =  $50

D =  $270

E = $945

F = $1,345

What are the missing amounts?

Receipts represents income to the company. It is a source of cash inflow. Expenses represents cash outflow. Net cash flow is the difference between receipts and expenses. Cumulate balance is the sum of the net cash flow of the previous periods and the net cash flow of the present period.

A = Net cash flow + expenses

1975 + 125 = 2100

B = Receipts - expense

$2225 - $1925 = $300

C =  Receipts - expense

$2050 - $2000 = $50

D = Net cash flow = $270

E = cumulative balance in April + net cash flow in May

$570 + $375 = $945

F = = cumulative balance in July + net cash flow in August

$1120 + $225 = $1,345

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At 9:00 AM the temperature was -15°C in Anchorage. The
proceeded to rise 4°C each hour. What was the
at 2:00PM.

CAN SOMEONE HELP ME WITH THIS QUESTION

Answers

Answer:

5°C

Step-by-step explanation:

(add 4 each hour)

9AM:-15°C

10AM:-11°C

11AM:-7°C

12AM:-3°C

1AM:1°C

2AM:5°C

If a={a,b,c,d,e,h}, b={b,c,d,f,g} and c {a,c,e,f,h,i}, then verify that
A) a-(b union c)=(a-b) intersection (a-c)
B) a intersection (b-c) =(a intersection b)-(a intersection c)

Answers

From given A={a,b,c,d,e,h}, B={b,c,d,f,g} and C= {a,c,e,f,h,i}

result related to union and intersection  of sets are verified

A).  A- (B∪C)=(A - B)∩ (A- C)

B).  A∩(B-C) =(A∩B) - (A∩C)

As given,

A={a,b,c,d,e,h}

B={b,c,d,f,g}

C={a,c,e,f,h,i}

A). A- (B∪C)={a,b,c,d,e,h} - { a,b,c,d,e,f,g,h,i}

                    = { }

(A - B)∩ (A- C)={a,e,h} ∩ {b,d}

                       ={ }

⇒A- (B∪C)=(A - B)∩ (A- C)

B) A∩(B-C)={a,b,c,d,e,h} ∩{b,d,g}

                  ={b,d}

   (A∩B) - (A∩C)={b,c,d} -{a,c,e}

                           ={b,d}

⇒A∩(B-C)=(A∩B) -(A∩C)

Therefore, from given A={a,b,c,d,e,h}, B={b,c,d,f,g} and C= {a,c,e,f,h,i}

result related to union and intersection of sets are verified

A).  A- (B∪C) =(A - B)∩ (A- C)

B).  A∩(B-C)=(A∩B) - (A∩C)

The complete question is:

If A={a,b,c,d,e,h}, B={b,c,d,f,g} and C= {a,c,e,f,h,i}, then verify that

A). A- (B∪C) = (A - B)∩ (A- C)

B). A∩(B-C) = (A∩B) - (A∩C)

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on june 28, 2012 the u.s. supreme court upheld the much debated 2010 healthcare law, declaring it constitutional. a gallup poll released the day after this decision indicates that 46% of 1,012 americans agree with this decision. at a 95% confidence level, this sample has a 3% margin of error. based on this information, determine if the following statements are true or false, and explain your reasoning.

Answers

a. False. The sample is 46%. We are 95% that the proportion of the population is between 43% and 49%.

b. True, this is the correct interpretation of a confidence interval of proportions.

c. False. The confidence interval does not say anything about the proportion of samples, just about the population.

d. False. As the confidence level decreases, so does z, which means that the margin of error decreases.

In a sample with a number n of people surveyed with a probability of success of, and a confidence level of, we have the following confidence interval of proportions.

In which

z is the score that has a p-value of.

The margin of error is:

So the confidence interval can be written as:

Interpreting a confidence interval:

x% confidence interval between (a,b) means that we are 95% sure that the true proportion of the population is between a and b.

In this problem, we have that:

95% confidence interval between (43%, 49%).

a. We are 95% confident that between 43% and 49% of Americans in this sample support the decision of the U.S. Supreme Court on the 2010 healthcare law.

False. The sample is 46%. We are 95% that the proportion of the population is between 43% and 49%.

b. We are 95% confident that between 43% and 49% of Americans support the decision of the U.S. Supreme Court on the 2010 healthcare law.

True, this is the correct interpretation of a confidence interval of proportions.

c. If we considered many random samples of 1,012 Americans, and we calculated the sample proportions of those who support the decision of the U.S. Supreme Court, 95% of those sample proportions will be between 43% and 49%.

False. The confidence interval does not say anything about the proportion of samples, just about the population.

d. The margin of error at a 90% confidence level would be higher than 3%.

False

As the confidence level decreases, so does z, which means that the margin of error decreases.

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four points, a, b, c, and d, lie on a circle having a circumference of 17 units. b is 5 units counterclockwise from a. c is 3 units clockwise from a. d is 11 units clockwise from a and 6 units counterclockwise from a. what is the order of the points, starting with a and going clockwise around the circle?

Answers

The order of the points starting with a and going clockwise around the circle is;

a ⇒ c ⇒d ⇒b

Here,

Four points, a, b, c, and d, lie on a circle having a circumference of 17 units.

b is 5 units counterclockwise from a.

c is 3 units clockwise from a.

d is 11 units clockwise from a and 6 units counterclockwise from a.

We have to find, The order of the points starting with a and going clockwise around the circle.

What is Circumference of circle?

The circumference is the distance around a circle or any curved geometrical shape.

Now,

b is 5 units counterclockwise from a.

b ⇒ a

c is 3 units clockwise from a.

b ⇒ a ⇒ c

d is 11 units clockwise from a and 6 units counterclockwise from a.

d ⇒ b ⇒a ⇒ c ⇒d

So, when we draw all points on circle we get;

The order of the points starting with a and going clockwise around the circle is;

a ⇒ c ⇒d ⇒b

This is shown in figure.

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what is the answer for b?

Answers

Answer:

4

Step-by-step explanation:

2+2=4 dummy

The quotient of 24 and d

Answers

Answer:

The quotient of 24 and d would be [tex]\frac{24}{d}[/tex]

Step-by-step explanation:

Quotient is the answer of a division problem. So, you would divide 24 by d.

The function y = f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -2 ≤ x ≤ 3? -10 Go -8 -6 -4 -2 100 80 60 20 -20 -40 -60 -80 -100 2 8 10​

Answers

Answer:

1 + 1 = 2 a i esta la respjesta

Step-by-step explanation:jijiji

John weighs 145 pounds and is gaining 2 pounds per month. Jim weighs 210 pounds and is losing 3 pounds per month. In how many months will they weigh the same?

Answers

Answer:

I believe the answer is 13 months.

Step-by-step explanation:

First you make an equation.

* 145 + 2x = 210 - 3x

* After you solve it!

> 145 = 210 - 5x

> -65 = - 5x

> -65/-5 = x

> 13 = x

It's going take 13 months for both to be on the same weight.

I hope you get this right.

Watch help video
Adriel drove 216 miles in 8 hours. If he continued at the same rate, how far would he
travel in 3 hours?
Answer:
miles Submit Answer
SAMSUNG
attempt 1 out of 2

Answers

Answer:

bkjjb.l kkllkk kk. lkm j. km j. kk. k mgdv. nutdc

Type the correct answer in each box. Use numerals instead of words.

This graph represents a quadratic function. What is the function’s equation written in factored form and in vertex form?

Answers

The equation of the parabola in vertex form is y + 8 = 2 · (x - 2)². The factored form of the equation of the parabola is y = 2 · x · (x - 4).

What is the equation of the parabola seen in a graph?

Herein we find a representation of a quadratic function on a Cartesian plane, whose formula in vertex form is presented below:

y - k = C · (x - h)²

Where:

(h, k) - Vertex of the parabola.C - Vertex constant

By direct inspection we find that the equation of the parabola has a vertex at (h, k) = (2, - 8) and the point (x, y) = (4, 0). Then, the vertex constant is:

C = (y - k) / (x - h)²

C = (0 + 8) / (4 - 2)²

C = 8 / 4

C = 2

Then, the equation of the parabola in vertex form is y + 8 = 2 · (x - 2)². The factored form of the equation is determined by algebra:

y + 8 = 2 · (x - 2)²

y = 2 · (x - 2)² - 8

y = 2 · (x² - 4 · x + 4) - 8

y = 2 · x² - 8 · x + 8 - 8

y = 2 · x² - 8 · x

y = 2 · x · (x - 4)

The factored form of the equation of the parabola is y = 2 · x · (x - 4).

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PLEASE PLEASE PLEASE ANSWER CONFIDENTLY

Evaluate the expression when p = 5

-|-3p|

Answers

Answer:

-15

Step-by-step explanation:

p = 5

- | -3(5 |  =  - | -15 |  =  - | 15 |  =  -15

8. Mason read 12 books in 4 months. If he reads at a
constant rate, how many books did he read each month?
Give your answer as a whole number or a FRACTION in
simplest form.

Answers

12books/4months= 3 books/month. 3 books per month.

The diameter of a cylindrical container is 22cm. If the volume of the container is 1331cm³, calculate its height.

Answers

Answer:

3.5cm

Step-by-step explanation:

Vol=πr²h

Transposing for h,=vol÷πr²

where r=22/2=11cm and taking π=3.142

h=1331/(3.142×(11)²)=3.5cm

Answer is 3.5 cm

Step by step

For cylinders we know
Volume = pi x radius ^2 x height

We know volume is 1331
We know pi = 3.14
We know radius is 11 (diameter is 22, so radius is 1/2 of that, so r=11)
We are looking for height “H”

Fill in the numbers into the formula

1331 = 3.14 x 11^2 x H

1331 = 3.14 x 121 x H

1331 = 380 H

Divide both sides by 380 to solve for H

1331/ 380 = 380/ 380 H

3.5 = Height

Problem solved!


the teacher separated her class of fifty-eight students into two groups. one group has 6 more than thrice as many students as the other group. how many students are in each group?

Answers

Students in one group is 45

Students in another group is 13

teacher separated her class of fifty-eight students into two groups

Number of groups =2

one group has 6 more than thrice as many students as the other group

Let one group has x students

another group has y students

x+ y = 58  . . . . . 1

x= 6+3y  

Substitute x= 6+3y   in  . . . 1

6+3y +y = 58

4y=52

y=13

x=6+3y=6+3(13)

 = 6+39

 = 45

Students in one group is 45

Students in another group is 13

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The width of a rectangle measures (10p - 9q) centimeters, and its length measures
(7p+8q) centimeters. Which expression represents the perimeter, in centimeters,
of the rectangle?

Answers

The expression represents the perimeter, in centimeters, of the rectangle is P = 30q + 2p

Perimeter of a rectangle

The formula for calculating the perimeter of a rectangle is expressed as:

P = 2(l+w)

l = (7p+8q) cm

w =  (10p - 9q) cm

Substitute

P = 2(7p+8q+10p-9q)

P = 2(15q+p)

P = 30q + 2p

Hence the expression represents the perimeter, in centimeters, of the rectangle is P = 30q + 2p

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Do you think it would be better to use breaking apart in the distributive property or compensation to find the product of five times 328? explain why and show how to find the product.

Answers

Yes it would be better to use breaking apart in the distributive property or compensation to find the product of 5 x 328 .

what is distributive property?

This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding or substracting the results together .like in subtraction  A(B-C)= AB-AC

In other words, an equation of the type A (B+C) can be solved as A (B+C) AB+AC in accordance with the distributive property.

This characteristic also holds for subtraction.

5 x 328

= 5(300+28)

= 5 x 300 + 5 x 28

= 1500 + 140

= 1640

Hence, it would be better to use breaking apart in the distributive property or compensation to find the product of 5 x 328 .

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What is the remainder for 3,167 / 28


45 POINTS!!!

Answers

Answer:

113 with a remainder of 3

Step-by-step explanation:

Please help me it doesn't have to be quickly just help

Answers

Answer:

3 to the power of 3

Step-by-step explanation:

Answer:

1. 8x

2.4x^2

3.3^x

Step-by-step explanation:

I took the test

please help math look in image 50 points

Answers

Answer:

1740

Step-by-step explanation:

Since the 10 has an exponent of 3, we can move the decimal of 1.74 to the left 3 times, which gives us 1740.

Answer:1740

Step-by-step explanation:

10x10=100

100x10=1000

1.74x1000=1740

HOPE THIS HELLPPPSSS : )

HELP AGAIN PLEASE ITS DUE SOON

Answers

Answer: -8/45

Hope this helps

Which series of transformations shows that pentagon A is congruent to pentagon B?


A.
Reflect pentagon A over the y-axis, rotate it 180° clockwise about the origin, and translate it 3 units up.

B.
Rotate pentagon A 90° clockwise about the point (1, 1), reflect it over the x-axis, and translate it 3 units to the left.

C.
Rotate pentagon A 90° clockwise about the origin, reflect it over the x-axis, and translate it 6 units to the left.

D.
Reflect pentagon A over the y-axis and translate it 2 units to the left and 8 units up.

Answers

Using translation concepts, the series of transformations that shows that pentagon A is congruent to pentagon B is:

B. Rotate pentagon A 90° clockwise about the point (1, 1), reflect it over the x-axis, and translate it 3 units to the left.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

In this problem, we have that the Pentagons have different orientations, meaning that it was rotated, eliminating options A and D.

For the vertices to reach the position they reached in Pentagon B, there had to be a shift left, and before the shift left, the Pentagon must have been entirely at the fourth quadrant, meaning that it was reflected about the point (1,1), and option B is correct.

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find the absolute value |-2|

Answers

Answer:

2.

Step-by-step explanation:

The absolute value is the distance between a number and zero. The distance between −2 and 0 is 2.

Hope this helps.

Answer:

2

Step-by-step explanation:

Let's solve the equation step by step

|-2|

= 2

33/25 as a decimal rounded to the nearest tenth

Answers

Answer:1.3

Step-by-step explanation:

33/22=1.32

Round to nearest 10th

1.32=1.3

Convert 5.764764764 ... to a rational expression in the form of a over b , where b ≠ 0

Answers

If x = 5.764764764…, then 1000x = 5764.764764764…, so that

1000x - x = 5764.764764764… - 5.764764764…

999x = 5759

x = 5759/999

BE is the perpendicular bisector of AD. Find the value of each variable.
14. AC = 5x - 7 and DC = 8x - 28
15. m/ACB = (7y - 8)°

Answers

Answer:

ac =13x-35

m/abc = 7y-8

Step-by-step explanation:

in first to minus of same base

second it remain same because it can't be subracted with different base

ac =13x-35
m/abc = 7y-8

On a shopping trip, Jeffery buys 3 sweaters and 5 pairs of jeans for $160. Eric also purchases 6 sweaters and two pairs of jeans for the same price. What is the difference in price of a sweater and one pair of jeans?

Answers

Answer:

Step-by-step explanation:

It would most likely be 0, but I am not sure.

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Solve . -9 2/7 - (10 3/7)A. -1 1/7B. 1 1/7C. 19 1/7D. 19 5/7 What is scientific learning 8 less than twice a number is the same as 4 more than that same number Please help - thanks Insert parentheses in the appropriate places:8+ 3-2 9 =1728 4+3 4+3 =285 3+2 6 3 =506 9-4 +3-3 4=305 3+2 63 =195 3+26 3 =25 an electron and a proton are fixed at a separation distance of 897 nm. find the magnitude ???? and the direction of the electric field at their midpoint. Horizontales1. A greeting4. The letter "j"5. The letter "s"6. Mucho9. Lowercase letter10. A lotVerticales2. Hasta3. Capital (uppercase) letter7. A farewell8. Me Lily's limos charges $150 to rent a limo plus $40 an hour. ron's luxury rides charges $200 to rent a limo plus $30 an hour. at how many hours do the companies charge the same price? write and solve a single equation to prove and show at how many hours the companies charge the same price. When defining its market segments, abc, inc. Identifies groups based on characteristics such as age, gender, income, and education. What type of market segmentation is this?. How do you evaluate c^2 + 7c - 6 when c = 6? (NEED ANSWER QUICKLY)Write a response to Pablo structured as an email. To get full points make sure to include A saludo (greeting) and a despedida (farewell) Answers to all the questions from the email. At least 3 adjectives that describe some of the things in or about your school. You should use different adjectives, not the same one over and over. Remember that adjectives need to agree in gender and number with what they describe. PABLOS EMAIL: ?Como estas me llamo pablo. Quiero saber como es tu escuela. ?Cuantas clases tienes? ?Que hay en tu salon? En mi escuela hay muchos libros rojos. tengo tres clases interesantes y una clase aburrida. Mi escritorio es pequeno y tengo todo en mi mochila negra x=7 y=4 HELP I WILL GIVE BRAINLIEST.362x+836y+918334 what is the significance of rahim khans call to amir? how is this event a turning point in the plot? Physical property of red color I need help with how to do the vertical line test on a graph, I forgot. Can someone please help mee (20 pointsbrainliest!!!) a student conducts an experiment to determine how the temperature of water affects the time for salt to dissolve in 100 ml of water. the student makes one measurement for each temperature.what is one way that the student could improve the experiment?perform multiple trials for each measurement instead of just oneperform multiple trials for each measurement instead of just oneuse a different type of salt for each temperature of wateruse a different type of salt for each temperature of waterperform one trial for each measurement but use a different volume of water for each testperform one trial for each measurement but use a different volume of water for each testuse a different timer for each temperature of water A long, straight wire is surrounded by a hollow metal cylinder whose axis coincides with that of the wire. The wire has a charge per unit length of , and the cylinder has a net charge per unit length of 2 . From this information, use Gauss's law to find (a) the charge per unit length on the inner surface of the cyli Twice a number is added to the number and the answer is 87. What is the number? Standing at a crosswalk, you hear a frequency of 560 Hz from the siren of an approaching ambulance. After the ambulance passes, the observed frequency of the siren is 480 Hz . Determine the ambulance's speed from these observations. Suppose the elevator starts from rest and maintains a constant upward acceleration of 2.90 m/s2 . A bolt in the elevator ceiling 3.00 m above the elevator floor works loose and falls. It falls out the instant the elevator begins to move. a.)How long does it take for the bolt to reach the floor of the elevator? b.)Just as it reaches the floor, how fast is the bolt moving according to an observer in the elevator? c.)Just as it reaches the floor, how fast is the bolt moving according to an observer standing on the floor landings of the building? d.)According to an observer in the elevator, how far has the bolt traveled between the ceiling and floor of the elevator? e.)According to an observer standing on the floor landings of the building, how far has the bolt traveled between the ceiling and floor of the elevator?