What is the arc length of ACB?

What Is The Arc Length Of ACB?

Answers

Answer 1

Answer:

C. 82.43

Step-by-step explanation:

acb's angle is 315 degrees because

360 - 45 = 315

arc length is in radians

arc length is radius times (angle times (pi÷180))

arc length is 15 times (315 times (pi÷180))

arc length is 82.43

cuemathcomgeometry


Related Questions

Can someone please find the coordinates for these shapes? pls I will mark them with Brainliest pls

Answers

Answer:

What shapes?!?! I can help you if you add an image of the shapes :)

Step-by-step explanation:

Complete a table for the equation

Answers

Answer:

Nothing provided

Step-by-step explanation:

Solve -2x + 7 < -41 how do you solve this

Answers

Answer:

x>21

Step-by-step explanation:

-2x + 7 < -41  Subtract 7 from both sides

-2x<-48 Divide by negative 2

x>21   When you divide by a negative you have to flip the sign

Answer:

x<28

Step-by-step explanation:

-2x+7<-41

-2x<-48      subtract 7 from both sides

x>24         divide by -2 to both sides

what least number should 27648 be divided so that the quotient will be a cube number​

Answers

Method A - write in prime factor form
27648 = 2^10 x 3^3 = 2 x 2^9 x 3^3 = 2x (2^3 x 3)^3 = 2 x 24^3
So if 27648 is divided by 2 the quotient is a cube number

Method B - test the list of cubic numbers to find the biggest factor of 27648
The cubic factors are 1, 8, 27, 64, 216, 512, 729, 1728, 4086, 5832, 13824

Method C - divide by factors starting with 1 until quotient is a cube
27648 / 1 = 27648 fail
27648 / 2 = 13824 = 24^3 correct

a) What percentage of 5³ is 5?
b) What percentage of 5³ is 5²?​

Answers

Step-by-step explanation:

a) 5³= 5*5*5 = 125

5/125*100%

4%

b) 5²=5*5=25

25/125*100%

20%

What is the area of triangle ABC?
C
12
60°
60°
A
D
B

Answers

Answer:

Area of the triangle is 36√3

Step-by-step explanation:    Hope this will help

The hypotenuse of each 30 - 60 - 90 triangle is 12

The base length is  6 + 6 =  12 because the triangle is equilateral and the

altitude of the triangle divides the base into two equal parts and the altitude (DC) is the height of the triangle.    

Now you have two 30 - 60 - 90 triangles with the hypotenuse of 12, the short leg = 6 and you need to find the length of DC.

Finding DC .

a² + b² = c²

6² + b² = 12²       0r  the long leg = short leg times √3

36 + b² = 144                                       6√3

   b² = 108

    b = 6√3

Area of a triangle = 1/2bh

                             = 1/2(12)(6√3)

                             = 6(6√3) = 36√3  

6 cm
6 cm
What is the area?

Answers

Answer:

= 18 [tex]cm^{2}[/tex]

Step-by-step explanation:

As the triangle is right angled:

formula  

       = [tex]\frac{1}{2}[/tex] base x height

         = [tex]\frac{1}{2}[/tex] 6 x 6

         =[tex]\frac{1}{2}[/tex] x 36

         =[tex]\frac{36}{2}[/tex]

           = 18 [tex]cm^{2}[/tex]

Joe has 7/8 yards of string. What is the maximum number of 1/16 yards of string Joe can be cut from the string? 11 points

Answers

Answer:

14

Step-by-step explanation:

7/8 = 14/16

Distribute to create an equivalent expression with the fewest symbols possible.
(1 - 25 +4h) - 5 =

Answers

Answer:

4h - 29

Step-by-step explanation:

[tex](1-25+4h)-5\\=(-24+4h)-5\\=(4h-24)-5\\=4h-24-5\\=4h-29[/tex]

You could also write this solution as [tex]-29+4h[/tex], but I just think [tex]4h-29[/tex] looks nicer :)

Keisha has two dogs. The larger dog weighs 1.2 pounds more than the smaller dog. The combined weight of the two dogs is 13.6 pounds. What is the weight, in pounds, of the smaller dog?

Answers

Answer:

x  = 6.2

Step-by-step explanation:

let ‘x’ denotes the weight of a smaller dog.

“1.2″ + x” be the weight of the larger dog

combined weight = 13.6

smaller dog weight =

x+x+1.2 = 13.6

2x + 1.2 = 13.6

2x = 13.6–1.2

2x = 12.4

x = 12.4/2

x = 6.2 pounds.

Hope you understood it, Happy Learning.

Alice and Amy decide to meet at a party. From a corner of the party hall, Amy spots Alice at the corner of the hall diagonally opposite her. If the party hall is a rectangle that measures 100 feet by 60 feet, what is the shortest distance Amy has to walk to reach Alice? Round your answer to the nearest foot.

A.
40 feet

B.
80 feet

C.
117 feet

D.
160 feet

Answers

Answer:

C) 117 Feet

Step-by-step explanation:

The question is ultimately asking for the hypotenuse of the rectangle. We can calculate that with a^2 + b^2 = c^2.

100^2+60^2=c^2

10000+3600=c^2

c^2=13600

c=116.6190379

Round --> 117

Thus the answer, C).

Triangle ABC represents a triangular garden with side lengths AB= 10cm ,BC= 8cm and AC=15cm .

What is the smallest and largest angle of the garden?

Answers

Answer:

Largest angle is "B" and smallest angle is "A".

Step-by-step explanation:

Given ∆ABC

AB = 10 cm , BC = 8 cm , AC = 15 cm

Angle opposite to side AB is "C"

Angle opposite to side BC is "A"

Angle opposite to side AC is "B"

we know that the angle opposite to largest side is largest angle and smallest side is smallest angle.

Here,∆ABC largest side is AC and smallest side is BC.

Hence,largest angle is "B" and smallest angle is "A".

Which sets of ordered pairs represent a function? Select all that apply.
A. (1,1), (1,2), (1,3), (1.4)
B. (1,1), (2,2), (3,3), (4,4)
C. (1,1), (2,1), (3,1), (4,1)
D. (1,4), (2,4), (1,3), (2,3)
E. (1,4), (2,2), (3,1), (4,3)

Answers

Answer:

B, C, and E

Step-by-step explanation:

In order for a function to be a function, an ordered pair cannot be on the same x coordinate

Juan bought 48 ounces of nuts at the store. How much is this in pounds?

Answers

Say you have a 48 ounce cantaloupe it would be equal to 3 pounds

Honorable Quinn with 6 children earns 613 200 naira per month. Calculate:
a. tax allowance
b. taxable income
c. amount of tax paid
d. income after tax is paid

Answers

I would say B or D is the right answers.

What is the value of x?

Answers

Answer:

14

Step-by-step explanation:

4x + 2x + 6 = 90

6x + 6 = 90

6x = 84

x = 14

HELP PLEASE, I'LL GIVE BRAINLIEST.


if x + yi = (1 + i)⁴ , then x + y = ......

a) 4
b) - 4
c) 2
d) - 2

an explanation for future reference would be greatly appreciated <333

Answers

x + yi = (1 + i)⁴

then -4 + 4 = x

Question 39 of 40
The circle below has a radius of 8 centimeters. What is the area of the shaded
region?
X
120°
8 cm
OA. 32 square centimeters
B. 8 square centimeters
64
3
square centimeters
square centimeters
O C.
O D.
16
3

Answers

Convert angle to radians

120=2π/3

So

Area

r²Ø/28²(2π/3)(1/2)64π/3cm²

Answer:

[tex]\textsf{C.} \quad \dfrac{64 \pi}{3} \: \sf square\:centimeters[/tex]

Step-by-step explanation:

Formula

[tex]\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]

[tex]\textsf{(where r is the radius and the angle }\theta \textsf{ is measured in degrees)}[/tex]

Given:

[tex]\theta[/tex] = 120°r = 8 cm

Substitute the given values into the formula and solve for Area:

[tex]\large \begin{aligned}\implies \textsf{Area} & =\left(\dfrac{120^{\circ}}{360^{\circ}}\right) \pi (8)^2\\\\& =\left(\dfrac{1}{3}\right) \pi (64)\\\\& =\dfrac{64}{3} \pi \: \sf cm^2\end{aligned}[/tex]

For this problem, a non-integer answer should be entered as a fraction in simplest form using / as the fraction bar. malik randomly picked two numbers from 1 to 9 (including 1 and 9). the same number could be picked more than once. the first of the two numbers he picks is odd and less than 5. what is the probability that the sum of the two numbers malik picks is less than 5, given that the first number is odd and less than 5?

Answers

Based on the numbers that Malik can pick and the condition of the sum being less than 5, the probability of this happening is 2/9.

What is the probability that Malik's number are less than 5 when added?

The first number that Malik picked is an odd number less than 5 which makes it with 1 or 3.

In order for the two number to be less than 5 when added, the numbers to be picked have to be:

1 and 21 and 33 and 11 and 1

These are 4 possibilities out of a total of 18 possibilities so the probability is:

= 4 / 18

= 2 / 9

Find out more on probabilities and picking numbers at https://brainly.com/question/251701.

#SPJ4

Answer:

See image

Step-by-step explanation:

Plato

Solve: 4+1.8x = 8 (1+0.1x)
A. There are infinitely many solutions.
B. x = -3
C. x = -4
D. x = 4

Answers

[tex]4+1.8x=8+0.8x\\\\4+1.0x=8\\\\1.0x=4\\\\x=4\\[/tex]

the answer is x = 4.

In Exercises 3–8, use the box-and-whisker plot to find the given measure.

Answers

Answer:

3. The least value is 3.

4. The greatest value is 14.

5. The third quartile is 11

6. The first quartile is 6

7. The median is 8.

8. The range is 3-14.

Step-by-step explanation:

Find the volume of the composite solid. Round your answer to the nearest tenth.

A composite solid is shown with a cone placed atop a cylinder. The height of the cone is 6 feet and the diameter of its base is 16 feet. The diameter of the circular bases of the cylinder are the same as the diameter of the cone. The height of the cylinder is 4 feet.

The volume is about
cubic feet.

Answers

Answer:

  1206.4 ft³

Step-by-step explanation:

The volume of the composite figure is the sum of the volumes of its parts. Each part has its own volume formula.

__

formulas

The formula for the volume of a cone is ...

  V = 1/3Bh . . . . where B is the area of the base, and h is the height

The formula for the volume of a cylinder is ...

  V = Bh . . . . where B is the area of the base, and h is the height

The formula for the area of a circle is ...

  A = πr² = π(d/2)² = (π/4)d²

Combining the volume formulas for a figure with the same base area, we have ...

  V = B(cylinder height) + 1/3B(cone height)

  V = B(cylinder height + 1/3×cone height) . . . . where B is the base area

composite volume

Using 16 ft for the diameter, and 4 ft and 6 ft for the heights of the cylinder and cone, respectively, we have ...

  V = (π/4)(16 ft)²(4 ft + 1/3×6 ft) = 64π(4 +2) ft³ = 384π ft³

The volume is about ...

  384π ft³ ≈ 1206.4 ft³

Find the gradient of the graph shown

Answers

Gradient is a measure of how steep a slope is. Slope is the change in y/ change in x.
Points on graph (0,5) and (-5,0)
X is -5 - 0 = -5
Y is 0 - 5 = -5

Y/x = -5/-5

Slope is 1

A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 97m long and 76m wide. Find the area of the training field. Use the value 3.14 for pie , and do not round your answer. Be sure to include the correct unit in your answer.

Answers

If the radius of the semi-circle is 38 m. Then the area of the training field will be 11,908.459 square meters.

What is Geometry?

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

A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 97 m long and 76 m wide.

Then the radius of the semi-circle will be

2r = 76

 r = 38 m

Then the area of the training field will be

Area = area of rectangle + 2 x area of semi-circle

Area = 97 x 76 + 2 x (1/2) x π x 38²

Area = 7372 + 4536.459

Area = 11908.459 square m

More about the geometry link is given below.

https://brainly.com/question/7558603

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What is the area of the triangle given below?

Answers

Answer:

26

Step-by-step explanation:

A swimming pool in a certain resort is enjoyed by people because it has a floor measurement of 8 ft by 12 ft and a depth of 9 ft. How much water can it contain?

Answers

Answer:

864 ft3

Step-by-step explanation:

length = 12 ft

width = 8 ft

depth = 9 ft

Volume = ? = length * width * depth

Round to the nearest two decimal places

Answers

9.9^2 = 6.5^2 + b^2
98.01 = 42.25 + b^2
Sqrt of 55.76 = b
b = 7.46726
≈ 7.47
Hope this helps :)

I have been stuck on this math equation for 15 minutes. Someone please help me!

Write the equation in standard form for the circle 3x^2+3y^2-54x+129=51y

Answers

Answer:

(x−9)²+(y−[tex]\frac{17}{2}[/tex])²=[tex]\frac{441}{4}[/tex]

Step-by-step explanation:

How many people out of 100,000 will survive until age 90?

Answers

Answer:

21,526 people

Step-by-step explanation:

What is the constant of proportionality shown in the table?

Answers

The constant of proportionality shown in the table that shows the cost and the number of books is 3.

What is the constant of proportionality ?

When there is a direct proportional relationship, it means that as the value of one variable increases, the value of the other variable also increases. As the number of books increases, the cost increases.

Direct proportion: y = kx

Where:

y = dependent variable k = constant of proportionality x = independent variable

k = y/x

6/2 = 3

To learn more about constant of proportionality, please check: https://brainly.com/question/27573249

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Answer:3

Step-by-step explanation:

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