Consider circle C with angle ACB measuring StartFraction 3 pi Over 4 EndFraction radians.

Circle C is shown. Line segments A C and B C are radii. Angle A C B is StartFraction 3 pi Over 4 EndFraction radians.

If minor arc AB measures 9 inches, what is the length of the radius of circle C? If necessary, round your answer to the nearest inch.

6 inches
12 inches
18 inches
24 inches

Answers

Answer 1

Answer:

12 inches

Step-by-step explanation:

I just took the unit test review on edge

Answer 2

Since the minor arc AB measures 9π inches, the length of the radius of circle C is equal to: B. 12 inches.

Given the following data:

Arc length = 9π inches.Central angle = 3π/4 radians.

How to calculate the length of the arc?

Mathematically, the length of an arc formed by a circle is calculated by using this formula:

Arc length = rθ

Where:

r is the radius of a circle.is the angle measured in radians.

Substituting the given parameters into the formula, we have:

9π = r × 3π/4

36π = 3πr

36 = 3r

r = 36/3

Radius, r = 12 inches.

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Related Questions

What is the distance between (-3, 4) and (-3, 10)?

Answers

Answer:

6 is the the distance between the points

The required distance between coordinates (-3, 4) and (-3, 10) is 6 units.

Given that,
The distance between the coordinates (-3, 4) and (-3, 10) is to be determined.

What is coordinate?

Coordinate, is represented as the values on x - axis and y - axis of the graph. where the values of the x-coordinate are called abscissa and the values of y coordinate are called ordinate.

Let the distance between two points be C.
Tio determined the distance between two points [tex](x_1, y_1)[/tex] and ([tex]x_2,y_2[/tex]) is given by the distance formula
C = √(x_1-x_2)^2(y_1-y_2)^2}

Putting the given coordinate in the above formula.

C = (-3+3)^2+(4 -10)^2}
C = {(0)^2+(6)^2}
C = √36
C = 6

The required distance between points is 6 units.

Thus, the required distance between coordinates (-3, 4) and (-3, 10) is 6 units.

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1).He gastado 5/8 de mi dinero. Si en lugar de gastar los 5/8 hubiera gastado los 2/5 de mi dinero, tendria ahora 72 soles mas de lo que tengo¿cuanto NO gaste? 2). Si al año que cumpli 10 años le sumamos el año que cumpli 20 , y a este resultado le restas la suma del año en que naci con mi edad actual , obtendremos el año actual ¿cuanto resultara sumar mi edad con el año en que cumplire los 30 años y restarle el año en que cumplire los 40 años? AYUDA CON PROCEDIMIENTO PARA ESTOS DOS EJERCICIOS POR FAVOR

Answers

Answer:

1. The amount that was not spent is: 1080 soles

2. The answer is 5.

Step-by-step explanation:

Question 1. There are two situations:

If you spent 5/8 of the money then notice, that u did not spend 3/8.

If you spend 2/5 of the money, then you would have 72 more.

So think, this equation:

3/8x + 72 = 2/5x

2/5 of the money is the value for what you did not spend plus 72, the amount you would have, where x is the answer for the total of money.

72 = 2/5x - 3/8x

72 = 1/40x

x = 2880 soles

As you did not spend 3/8 of 2880, the answer is 1080 soles

Notice that if u spent 2/5 of 2880, you would have 1152 soles, so, the 1080 + 72, as the problem said.

Question 2.

We think letters for this excersise.

N = My born year

2020 (this year) - N = E (my age, now)

So N + 10 = when I get 10 years old

N + 20 = when I get 20 years old

N + 30 = when I get 30 years old

N + 40 = when I get 40 years old

The problem says:

(N+10) + (N+20) - (N+E) = 2020

((N+30)+E) - (N-40) = X  

So if 2020 - N = E, then notice that 2020 - E = N. Let's replace this in the equation form:

((2020-E)+10) + ((2020-E)+20) - ((2020-E)+E) = 2020

No minus in the first two terms, so we can break the ( )

2020-E+10 + 2020-E+20 - ((2020-E)+E) = 2020

We apply the distributive property for the second term

2020-E+10 + 2020-E+20 - 2020+E-E = 2020

We can cancel two E, and the 2020, so the new form will be:

2020 - 2E + 30 = 2020

We can also cancel the 2020, so if we reorder the equation, we have:

-2E = -30

E = 15 That's my age, so my born's year is 2020 - 15 = 2005 (N)

Look:

(2005 + 10) + (2005+20) - (2005+15) = 2020

So now, the last part

((2005+30)+15) - (2005+40) = 5

The table below shows the numbers of students at 4 middle schools.
Middle school
Number of students
DuBois
Lakeside
Polk
D D
Woodbridge
Each n equals 100 students.
(a) How many students are at Woodbridge Middle School?
(b) How many more students are at Polk Middle School than at DuBois Middle School?

Answers

Answer:

(a) 300

(b)100

Step-by-step explanation:

(a) each figure is 100 student and there are 3 figures at Woodbridge so it's 3*100=300

(b) DuBois=3*100=300

Polk=4*100=400

400-300=100

??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????

Answers

Answer:

39 homes

Step-by-step explanation:

The fraction of homes is 13/20

We are checking 60 homes

13/20 * 60 = 39

39 homes

2 Points
What is the surface area of the cube below?
A. 96 units2
B. 64 units2
C. 80 units2
D. 120 units2

Answers

Answer:

A

Step-by-step explanation:

The cube has 6 surfaces with side lengths 4 by 4. Each of the faces has area 4*4=16 units, and multiplying this by 6 yields 96 units, or answer choice A. Hope this helps!

The surface area of the given cube is 96 square units, option A is correct.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The formula to find the surface area of cube is 6s²

Where s is the side length of cube

s=4 from the given cube

Plug in the value of s in surface area formula

surface area = 6(4)²

=6×16

=96 square units

Hence, the surface area of the given cube is 96 square units, option A is correct.

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tan(-20°) = _____. -tan 20° tan 20° tan (-160°) -tan 160°

Answers

Answer:

-tan 20

Step-by-step explanation:

They have the same answer when typed in a calculator

Do not do Number 3 or 2!Please help! I need them in complete sentences! I will award Brainliest and answer any questions you have just please help.

Answers

Answer:

2) Only solar because u are near the moon lool

3) i think the same

1-4)There is, however, one side of the moon that never faces Earth head-on. The moon completes a full, 360-degree orbit around our planet every 27.32 days . That's about as long as it takes the moon to finish a single rotation on its own axis. Taken together, those two factors explain why only one side of the moon is ever oriented toward us and about 41 percent of the lunar surface is never visible to Earth-bound stargazer.

Eevery lunar day lasts for 29.5 Earth day

How much water will it take to fill the aquarium?
Please anawer this question. Will put as brainliest if i get an answer

Answers

Answer:

4096

Step-by-step explanation:

You multiply 32 in. by 8 in. by 8 in.

Answer:

4096

Step-by-step explanation:

to find volume you can just multiply length, width, and height together :) Hope this helps!!! ❤

Which of the following measures of variability can be used to compare two data sets?

Answers

Answer:

I think they are the range, the interquartile range. Tell me if if wrong!

Step-by-step explanation:

Suppose you arrange 50 counters into rows. The first row has 4 counters. Each row after that has 3 more counters than the row before. How many rows do you need to make to use all 50​ counters? nothing rows

Answers

Answer:

20

Step-by-step explanation:

hope it right not the best with counting

Mr. Tuyen uses 3 4 of a tank of gas each week to drive to and from his job. How many tanks of gas does Mr. Tuyen use in 3 weeks? Enter your answer as a fraction and as a mixed number.

Answers

Answer:

[tex]\frac{9}{4}[/tex] or [tex]2\frac{1}{4}[/tex]

Step-by-step explanation:

If Mr. Tuyen used 3/4 of a tank in a week, then in three weeks, he would use that same amount times three.

So:  [tex]\frac{3}{4}[/tex] x 3 = [tex]\frac{9}{4}[/tex]

Hope this helps :)

Can anyone help with this math problem ?

Answers

It is 255/866 convert to decimal

A cylinder has a height of 14 inches and a radius of 5 inches. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

1099 inches

Step-by-step explanation:

We know that formula for volume of a cylinder is:

[tex]V=\pi r^2h[/tex]

[tex]V=\pi 5^2*14[/tex]

[tex]V=\pi 25*14[/tex]

[tex]V=\pi 350[/tex]

[tex]V=3.14*350[/tex]

[tex]V=1099[/tex]

Answer:

1099

Step-by-step explanation:

Maris put trim around a mirror that is the shape of a square. Each side is 24 inches long. Maria has 1 foot of trim left. What was the length of the trim when she started? Write your answer in yards

Answers

Answer:

16.028 yards

Step-by-step explanation:

1 inch=0.0833333 foot

24 inches=0.0833333×24

=1.9999992 foot

The mirror is square shaped and each side is 24 inches

If each 24 inches=1.9999992 foot

Then,

4 sides of 24 inches=1.9999992×24

=47.9999808 foot

Maria has 1 foot of trim left

Total Length of trim when she started=47.9999808+0.0833333

=48.0833141 foot

=16.02777136667 yards

Approximately,

16.028 yards


hello i attached a picture of a simple trigonometry question please help <3

Answers

Side CD has a length of 11.67

Can you please help with think im pointing on please is so hard i will give you a Brainiest

Answers

Answer:

40

Step-by-step explanation:

You need to take 30%of 40 to figure it out.

Hope this helps.

You and two friends go to eat pizza there are two deals 10% off of 1 pizza or 30% off of 3 pizzas. Do you want to each pay separately and get 10% off of your bill or do you want to spl it the bill 3 wa

Answers

Answer:

Step-by-step explanation:

Assuming the price of 1 pizza is $x. Total number of pizzas is 3.

Considering the first deal,

10% off your pizza is 10/100 × x = 0.1x. The amount that you will pay is x - 0.1x = 0.9x

The cost of the remaining two pizzas is 2 × x = 2x

The total amount to be paid is

2x + 0.9x = $2.9x

Considering the second deal, 30% off the bill would be

30/100 × 3x = 0.9x

The amount to be paid is

3x - 0.9x = $2.1x

Therefore, I prefer the second deal

Find the volume of a right circular cone that has a height of 9.6m and a base with a diameter of 2.9m. Round your answer to the nearest tenth of a cubic meter.

Answers

Answer:

[tex] r = \frac{D}{2}= \frac{2.9m}{2}= 1.45 m[/tex]

If we convert the height to meters like this:

[tex] h = 9.6 cm *\frac{1m}{100 cm}= 0.096m[/tex]

And we want to find the volume of the cone and is given by:

[tex] V = \pi r^2 h[/tex]

And replacing we got:

[tex] V = \pi (1.45m)^2 (0.096m) =0.634 m^3 \approx 0.6 m^3[/tex]

Step-by-step explanation:

For this case we have a right circular cone with a height of 9.6cm and a base with a diameter of 2.9m. We can find the radius like this:

[tex] r = \frac{D}{2}= \frac{2.9m}{2}= 1.45 m[/tex]

If we convert the height to meters like this:

[tex] h = 9.6 cm *\frac{1m}{100 cm}= 0.096m[/tex]

And we want to find the volume of the cone and is given by:

[tex] V = \pi r^2 h[/tex]

And replacing we got:

[tex] V = \pi (1.45m)^2 (0.096m) =0.634 m^3 \approx 0.6 m^3[/tex]

Two student fill the fish tank with.The fish hold 4gallon of water the-students each has a measuring cup.How many times do the student need to fill the one cup measured To get 4gallon?

Answers

64 cups
there are 16 cups in a gallon so 16 times 4

If I have 21 cone shaped hats with a diameter of 16in and height of 9in. How much paper do I need to cover the hats?

Answers

Answer:

10584 inches of paper

Step-by-step explanation:

to find the surface area of a cone the formula you use is A= πr(r+h2+r2)  *you need to divide 16 by two to find the radius 16 is the diameter*

and this subsituted is π8(8+9(2)+8(2)) and this equals 504 inches and you then multiply by 21 to get enough paper to cover all 21 cones and that equals 10584 inches

Four students do not come to school one day. This is of 1/6 the total number of students in the class. How many total students are there in the class?

Answers

Answer:

There are 24 students in the class.

Step-by-step explanation:

If four students are 1/6 of the class, you need to multiply 4 times 6 to get 24.

Y = 3x -1 Y = 2x + 3

Answers

Answer:

x = 4

y = 11

Step-by-step explanation:

You can make the equations 3x - 1 = 2x + 3

x = 4

y = 11

mark has a friend named Chole how different are marks and chole DNA ?

Answers

Answer:

xx vrs. xy chromosomes in their genetics

I need help immediately with middle school

Answers

Answer:

5*7=35 square units

Step-by-step explanation:

area of parrelogram =B×h

plzz mark me brainliest

The circumference of a circle with a radius of 2 meters is approximate by the perimeter of an inscribed polygon with 10 sides. Which expression gives the described approximation of the circumference?

Answers

Answer: The correct answer is A

Step-by-step explanation:

Let a be a rational number and b be an irrational number. Is a + b rational or irrational?

Answers

Answer:

irrational

Step-by-step explanation:

because an irrational number goes on forever so no matter what number is added to it it will always be irrational.

Answer:

Rational

Step-by-step explanation:

Which set of angles can form a triangle?

A: 2 acute and 1 right

B: 1 acute and 2 obtuse

C: 1 acute and 2 right

D: 1 acute, 1 right and 1 obtuse

Answers

Answer:

A: 2 acute and 1 right

Step-by-step explanation:

A triangle is a polygon that has 3 sides as well as three angles

Triangles can be can be classified based on their three sides as well as their three angles.

Based on their sides, we have 3 types of triangles.

1. Equilateral triangle: This means they have 3 equal sides.

2. Isoceles triangle: They have only 2 equal sides.

3. Scalene triangle: The 3 sides are not equal

Based on their angles, we have 3 triangles.

a. Acute triangle

b. Obtuse triangle

c. Right angle triangle.

One of the way by which we can form a triangle, is by forming it with 2 acute angles and 1 right angle.

Answer:

The correct option is;

A: 2 acute and 1 right

Step-by-step explanation:

Here we have the definitions of the angles as follows;

The sum of angles in a triangle = 180°

An acute angle is an angle less than 90°

An obtuse angle is an angle more 90 ° but less 180°

A right angle triangle is an angle equal to 90°

∴ A right angle triangle is an angle = 90°

Therefore, we compare each of the options

A: 2 acute and 1 right = <90 +<90 +90 < 180 =180 or >180 Possible

B: 1 acute and 2 obtuse = 1<90 + > 90 +>90 > 180°

C: 1 acute and 2 right = <90 + 90 + 90 > 180

D: 1 acute + 1 right + 1 obtuse = <90 + 90 + >90 > 180

Therefore, the only possible correct option is A.

15 POINTS! will be selecting Brainliest!

How do I do this? Please give step-by-step answers + "work"- will be selecting Brainliest!

Answers

Just divide the bottom numbers then when you figure that out you multiply the top number by the number you divided at the bottom



Find the area of the composite figure.

a.) 364 sq ft
b.) 796 sq ft
c.) 800 sq ft
d.) 980 sq ft​

Answers

Answer:

B. 796 sq ft

Step-by-step explanation:

All of these shapes are rectangles.

The formula for the area of a triangle is length x width.

Dining Room

26 x 14 = 364

Bedroom

14 x 8 = 112

Enclosed Porch

20 x 16 = 320

Then you add all of the products.

364 + 112 = 476

476 + 320 = 796

What is the solution to
2x-y=1
Зу + 3 = 6x
Using system of equations

Answers

Answer:

infinitely many solutions

Step-by-step explanation:

Reduce the second equation by dividing all three terms by 3:  y + 1 = 2x.  Then compare this result to the first equation 2x - y = 1.  Noe that these two equations are identical.  Thus, the two lines coincide.  There are "infinitely many solutions."

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