Help 15 points!!
A central angle of a circle of diameter 6 cm measures 86°. What is the length of the intercepted arc?
A)
2.8 cm
B)
4.5 cm
C)
5.1 cm
D)
9 cm

Answers

Answer 1

Answer:

B)

4.5 cm

Step-by-step explanation:

The formula for arc length when our central angle is in degrees =

2πr(θ/360)

θ = 86°

Diameter = 6cm Radius = Diameter /2

Radius = 6cm/2 = 3cm

Hence,

Intercepted arc length = 2 × π × 3 (86/360)

= 2 × π × 3 × 0.2388888889

= 4.5029494701 cm

Approximately = 4.5 cm

Option B is the correct answer


Related Questions

In October sally drove 560 miles in her car.
the car travelled 34.5 miles for each gallon of petrol used

Petrol cost £1.08 per litre.
1 gallon = 4.55 litres.

Work out the cost of the petrol the car used in October

Answers

The cost is £79.76. Since the car covers 560 miles and 34.5 miles is travelled by one gallon. So, dividing 560 by 34.5 we get 16.23. Since 1 gallon is 4.55 litres, 16.23 gallons is 73.8465. Now the cost of petrol is £1.08 per litre. So, multiplying 73.8465 by £1.08 we have £79.76

The cost of petrol the car used in October is;

Amount spent on fuel in October = £79.76

Distance sally drove in October = 560 miles

She used 1 gallon of petrol for every 34.5 miles she drove.

Thus, number of gallons of petrol she used for the month of October on the car = 560/34.5 gallons

Now, we are told that;

1 gallon = 4.55 litres

Thus; 560/34.5 gallons = (560/34.5) × 4.55/1

Quantity of petrol she used for the month in liters = 73.855 litres

Petrol costs £1.08 per liter.

Thus;

Amount spent on fuel in October = 1.08 × 73.855

Amount spent on fuel in October = £79.7634 ≈ £79.76

Read more at; https://brainly.com/question/22940138

PLZ HELP
Determine if the sequence is arithmetic or geometric, and find the common difference or ratio.


x 1 2 3 4
f(x) 81 72 63 54
Arithmetic, common difference = 9
Arithmetic, common difference = −9
Geometric, common ratio = 9
Geometric, common ratio = −9

Answers

Answer:

The second item is the correct one , i mean arithmetic , common difference = -9 .

Step-by-step explanation:

Hope this helps u , good luck ;)

Answer:

The correct option among the others is B

Step-by-step explanation:

ASAP PLASE GIVING BRAINLEST

Answers

Answer:

answer C

Step-by-step explanation:

A chord of a circle is a straight line segment whose endpoints both lie on a circular arc. The infinite line extension of a chord is a secant line, or just secant.

A diameter is also a chord.

What is the solution to 4|0.5x – 2.5| = 0?

x = 1.25
x = 5
x = –1.25 or x = 1.25
x = –5 or x = 5

Answers

Answer:

B. X=5

Step-by-step explanation:

To solve this problem, first, you have to isolate the value of x from one side of the equation.

[tex]\sf{4|0.5x-2.5|=0}[/tex]

First, divide by 4 from both sides of an equation.

[tex]\sf{\dfrac{4|0.5x-2.5|}{4}}=\dfrac{0}{4}[/tex]

Solve.

|0.5x-2.5|=0

0.5x-2.5=0

x=5

Therefore the correct answer is x=5.

Answer:x=5 nice day

Step-by-step explanation:I now did this

Please answer correctly! I will mark Brainliest!

Answers

Answer:

Mind Making A New So We Can Help?

Step-by-step explanation:

what is 3 13/20 as a decimal

Answers

Answer:

3.65

Step-by-step explanation:

pls help me in my trouble

Answers

Answer:

the probability of landing a 5 is unlikely

Step-by-step explanation:

Matilda needs at least $112 to buy a new dress. She has already saved $40. She earns $9 an hour babysitting. Write and solve an inequality to find how many hours she will need to babysit to buy the dress. Interpret the solution.

Answers

she will need two more hours to buy the dress

This is how many hours you will need 5 hours

complete the tables of values

Answers

Answer:

a=0

b=-8

c=-16

d=0

e=-3

f=-6

Step-by-step explanation:

Lena made a scale drawing of an arcade. She used the scale 1 inch : 4 feet. If an air hockey table is 2 inches long in the drawing, how long is the actual air hockey table?

Answers

Answer:

it's 8ft

Step-by-step explanation:

1=4 2=8just put 2and2 together

ILL BRAINLIEST IF YOU GET IT RIGHT

PLEASE HELP ME FIND THE VALUE OF X

Answers

Answer:

x=60°

Step-by-step explanation:

x=x(vertically opposite angles)

Now,

x+120°=180°

x=180°-120°

x=60°

Write each polynomial in standard form.
-2.x2 + x4 +3

Answers

Answer:

x^4 - 2x^2 + 3

Step-by-step explanation:

Rearrange the terms so that they are in descending order by powerss of x;

Highest power is 4:  x^4, followed by x^2 and then the constant, x:

-2x^2 + x^ 4+ 3 =  x^4 - 2x^2 + 3 (answer)

PLEASE HELP MEEE!!!!!

Answers

answer is A 400 x .45 is 180 plus 25 = 205

You can represent the measures of an angle and its complement as x° and (90 - x)°. Similarly, you can represent the measures of and angle and is supplement as x° and (180 - x)°. Use these expressions to find the measure of the angles described. The measure of the supplement of an angle is three times the measure of its complement. The measure of the angle is________ degrees, the measure of its complement is degrees, and the measure of its supplement is ________degrees.

Answers

Answer:

The angle is equal to 45°, its complementary is equal to (90-45)°=45°, and its supplementar is equal to (180-45)°=135°

Step-by-step explanation:

Let the angle be equal to x°. We know that

[tex](180 - x) = 3(90- x)[/tex]

Therefore, solving for x, we have

[tex]180 - x = 270 - 3x \\ 2x = 90 \\ x = 45[/tex]

So the angle is equal to 45°, its complementary is equal to (90-45)°=45°, and its supplementar is equal to (180-45)°=135°

ANSWER ASAP WILL GIVE BRAINLIEST

Answers

I think it’s the first one because if you look at the shape it lines up to make the same shape Srry if this is wrong

Ana planted a garden with equal of roses daffodils and tulips. if she randomly selects a flower what is the probability that it is a lilly

Answers

Answer:

33.3%

Step-by-step explanation:

If all of them are equal out of 100%

that means Roses are 33.3 daffodils are 33.3 and lilly's are 33.3

How to find the area of each trapezoid step by estep

Answers

Area of a trapezoid is the picture below:
With that being said you just plug the numbers into the formula. I recommend using a calculator.

1. A = 1.5 + 3.3 / 2 x 2.9 = 6.96in^2

2. A = 0.6 + 2 / 2 x 2 = 2.6in^2

3. A = 1.4 + 4 / 2 x 3 = 8.1in^2

4. A = 1.6 + 4 / 2 x 2 = 5.6m^2

Hope this helped!

2\0.1 x 10\10 = it would help me a lot

Answers

Answer:

The answer is1 thank you

Milo is volunteering at a food pantry. In the first hour, he packs 3 boxes every
5 minutes. In the second hour, he packs 5 boxes every 6 minutes. What is the
difference of his packing rates during each hour of his volunteer shift, in boxes
per hour?

Answers

14 boxes per hour
60/5=12
12*3=36
60/6=10
10*5=50
50-36=14

Suppose you have $20 in your bank account. You start saving five dollars each week. Your phone has $170 and removes $10 each week. When will you and your friend have the same amount in your account?

Answers

How many weeks are there

Please help me to do this question with steps

Answers

Answer:

x = 71°

Step-by-step explanation:

Segments of tangents from the same external point are congruent, that is

AT = BT

Then Δ ABT is isosceles with base angles congruent , so

x = [tex]\frac{180-38}{2}[/tex] = [tex]\frac{142}{2}[/tex] = 71°

help help help help

Answers

Answer:

15π cubic units

Step-by-step explanation:

the formula for the volume of a cone is:

V = (base area x height) / 3

In this case we have

(5π x 9)/3 = 15π cubic units

Answer:

235.5 Cubic Units

Step-by-step explanation:

V=1/3B*H

=1/3(π5^2)9

=1/3(3.14*25)9

=3(3.14*25)

=75*3.14=235.5 Cubic Units

Find the perimeter of the figure.​

Answers

Just add up all the sides

Answer:

97

Step-by-step explanation:

The perimeter is adding each side together, the equation is 3+33+15+33+3+10

A rectangular banner covers an area of 2 7/8ft2. The length of the banner is 3/4ft. What is the width of the banner in ft?

Answers

Answer:

Width of the rectangular banner is [tex]3\frac{5}{6}[/tex] ft.

Step-by-step explanation:

Area of the rectangular banner = [tex]2\frac{7}{8}[/tex] square feet

                                                    = [tex]\frac{23}{8}[/tex] square feet

Area of rectangle is given by,

Area = Length × Width

Length of the banner = [tex]\frac{3}{4}[/tex] feet

From the formula,

[tex]\frac{23}{8}=\frac{3}{4}\times W[/tex]

W = [tex]\frac{\frac{23}{8} }{\frac{3}{4} }[/tex]

    = [tex]\frac{23}{8}\times \frac{4}{3}[/tex]

    = [tex]\frac{23}{6}[/tex]

     = [tex]3\frac{5}{6}[/tex] ft

Therefore, width of the rectangular banner is [tex]3\frac{5}{6}[/tex] ft

The value of an irrigational number expression is estimated to be between 18 and 19. Which could be the expression

Answers

the answer is A because 2 multiplied by 9 is 18

HELP ME IN NUMBER 1 AND 2

Answers

Answer:

Number is is A Number 2 is 77 trust ik math

Guys help me on this which is the correct answer:((

Answers

Answer:

A

Step-by-step explanation:

find x.

1. subtract 7 from 23 to get 16. then you dived 16 by -2 which gets you -8 so x is less than -8 :))

answer is D

remember to flip inequality sign when dividing by a negative

What is the volume of this solid figure made with cubes

Answers

Answer:

15

Step-by-step explanation:

three times five = fifteen and height is 1

Answer:

15

Step-by-step explanation:

multiply the length x width x height

Answer ASAP PLS -

Angle PQR and angle TQV are vertical angles. The measures of the two angles have a sum of 100°. Write and solve an equation to find x, the measures of angle TQV.​

Answers

TQV: 50
good luck :’)

Does the mean or median best describe a typical value in the data set shown?19, 18, 19, 18, 19, 19, 1, 19, 18, 19, 18

Answers

Answer:

Probably mean.

Step-by-step explanation:

The median is the middle number (in this case, 19) and the mean is the average of all the numbers

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