The length of an arc is 18cm and the radius of the circle is 6cm. What is the radian
measure of the central angle?

Answers

Answer 1

Answer:

3

Step-by-step explanation:

Radian= arc/radius

18/6=3

Answer 2

The Central angle was calculated to be 3 radians using the formula.

what is a central angle?

it is the angle subtended by radii and corresponding arc.

as we know that

length of an arc= central angle* radius

so, central angle = arc length/radius

it is given that

length of the arc=18cm

the radius of the circle=6cm

central angle= 18/6 = 3 radian.

therefore, the central angle was calculated to be 3 radians using the formula.

to get more about circles refer to the link,

https://brainly.com/question/24375372


Related Questions

A right prism has a square base and volume, V, of 576 cubic centimeters. The height, h, of the prism is 16 centimeters. Find the area of the base, B. A. B. C. D.

Answers

Answer:

36

Step-by-step explanation:

the volume of the prism is, the area of the base x height

.

b x 16 = 576

b = 36

so the answer is 36

Answer:

C) 36

Step-by-step explanation:

. The perimeter of a square is 8y – 12. The area of the square is 100 square units. What is the value of y?

Answers

Answer:

y = 6.5 units

Step-by-step explanation:

Let L be the length of sides of the square.

Given the following data;

Perimeter of square = 8y - 12

Area of square = 100 square units

To find the value of y;

Area of a square = L²

Substituting into the formula, we have;

100 = L²

L = √100

L = 10 units

Mathematically, the perimeter of a square is given by the formula;

Perimeter of a square = 4L

Substituting into the formula, we have;

8y - 12 = 4*10

8y - 12 = 40

8y = 40 + 12

8y = 52

y = 52/8

y = 6.5 units

please answer this question

Answers

3/8 because half of 8/8 is 4/8 and 4/8-1/8 equals 3/8

Answer:

0.3

Step-by-step explanation:

Just onve more question
same as the other one

Answers

multiply out the brackets 4(5-2x)
4*5=20
4*2x=8x
put this into the equation
20-8x+3=7
- which can also be written as 23-8x=7
by minusing 7 from both sides you get:
16-8x=0
minus 16 from both sides
-8x=-16
from this we can see that x=2

Answer:

x = 2

Step-by-step explanation:

4(5 - 2x) + 3 = 7

Distributive property ,    multiply (5-2x) by 4:

20 -8 x + 3 = 7

Combine like terms:

23 - 8x = 7

Inverse add and subtract:

23 - 7 - 8x + 8x = 7 - 7 + 8x

16 = 8x

Inverse divide:

16/8 = 8x/8

x = 2

Naomi plotted the graph below to show the relationship between the temperature of her city and the number of popsicles she sold daily:

A scatter plot is shown with the title Naomis Popsicle Stand. The x axis is labeled High Temperature, and the y-axis is labeled Number of Popsicles Sold. Data points are located at 90 and 20, 85 and 17, 70 and 14, 75 and 20, 60 and 16, 50 and 14, 60 and 12, 40 and 10, 50 and 12, 80 and 8.

Part A: In your own words, describe the relationship between the temperature of the city and the number of popsicles sold. (2 points)
Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate the slope and y-intercept. (3 points)

Answers

Answer:

Answer:

A.  The temperature of the city and the number of popsicles sold are positively correlated

B.

Slope: 0.1233

Y-Intercept: 6

Step-by-step explanation:

Being dead honest with you less people will answer if there isn;t a photo, But I can't be 100% sure of my answer being there isn't one.

(90,20)

(40,10)

40-90= -50

10-20= -10

-10/-50= 0.2

Thats the slope line I used 2 random numbers, I don't know the order so it might be wrong.

Well look at your graph are the lines going up or down as x increases?

From my assighment it is a increase.

Can someone really help me please!!

Answers

1. 125
2. 81
3. 343
4. 4
5. 8

2. Find the 6th term of each geometric sequence
9, 45, 225, 1125,...

Answers

Answer:

28125

Step-by-step explanation:

The [tex]n[/tex]th term of your geometric sequence is [tex]9\cdot5^{n-1}[/tex]. This means that the 6th term is [tex]9\cdot5^{6-1}=28125[/tex].

Q. You do lawn work for $13 an hour, but charge a $7.5 transportation cost. What rule
represents your business model?
answer choices
Cy=13x + 7.5
f y=13x - 7.5
By=20.5%
Dy=7.5x + 13

Answers

Answer:

Cy

Step-by-step explanation:

x is the number of hours

The answer to your question is Cy

pls help asap no wrong answer pls

Answers

Answer:

Answer in explanation

Step-by-step explanation:

Probability of Magic elf =

[tex]p(elf) \times p(magic) \\ = \frac{1}{3} \times \frac{1}{5} \\ = \frac{1}{15} or \: 0.66667[/tex]

Answer:

6.66%

Step-by-step explanation:

There is a 1/3 chance of getting the character you want and 1/5 chance of getting the weapon you want. So the probability is 1/3*1/5=1/15 or 6.66%.

Please find the area of this rectangle.

Answers

Answer: third choice  A=6x^2-7x-3 inches squared

Step-by-step explanation:

Area = (2x - 3)(3x + 1)

Multiple terms: first x first, first by second, second by first, second by second
Area = (2x • 3x) + (2x • 1) + (-3 • 3x) + (-3 • 1)

Simplify each term
Area = 6x^2 + 2x - 9x - 3

Combine like terms
Area = 6x^2 -7x -3 squared inches

Plzz help will mark brainliest don't do it for the points plzz!!!!

Answers

I think the answer is D. Sorry if I’m wrong

what is needed for a shape to be even

Answers

They need to be parallel and have equal sides.

You Spin The Spinner The Numbers on it are: 1,2,2,2,3,3,3,1, in how many ways can spinning 1 occur

Answers

Answer:

1/4

Step-by-step explanation:

Probability (spinning 1) = 2/8

= 1/4

Answer:

2 over 8

Step-by-step explanation:

so there are 8 numbers altogether. there are 2 1s in all so it would be 2 over 8

What is the equation of the line that passes through the point (4,2) and is
parallel to the line represented by
y - 4 = 1/2(x + 3)?

Answers

Answer:

Step-by-step explanation:

If they are parallel, that means the slope is the same. We can then use the slope point form: y - y1 = 1/2(x - x1) which is the form in the question as well.

Given that there is a point at (4,2), the equation of the line is then

y - 2 = 1/2(x-4)

Answer:

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

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula

[tex]y-y_{1} =m(x-x_{1} )[/tex]

to find the line parallel to

[tex]y-4=\frac{1}{2} (x+3)[/tex].

The radius of a circle is 6 inches. What is the area of the circle in square inches? Round your answer to the nearest tenth.

Answers

Answer:

I think 113.04

Step-by-step explanation:

The formula for the area of the circle is:

A=

[tex]\pi \times r { }^{2} [/tex]

Resolving:

[tex]\pi \times 6 {}^{2} = 113.097[/tex]

Evaluate each expression if a = 6, b = 3, and c = 2.

A | 6 + c
B | a - b
C | 2 c
D | a - 1
E | c + 4
F | a/b
G | b ÷ 3
H | ab

Answers

A: 9
B: 3
C: 4
D: 5
E: 6
F: 2
G: 1
H: 18

A motorcyclist leaves City A and rides at a constant speed towards City B, which is 225 km away. After 1.5 hours, the motorcyclist stops a half an hour lunch. To reach City B on time, the motorcyclist increases his speed after lunch by 10km/hour. Find the motorcyclists original speed

Answers

Answer:

50 km/hr

Step-by-step explanation:

OK, this is how I solved this problem.

Let r = original rate of speed

     t = time after the stop to finish the trip

Time for trip without stopping is 225/r

(1)     1.5 + .5 + t = 225/r      This is a time equation

(2)    1.5r + t(r + 10) = 225     This is a distance equation

(1)       2 + t = 225/r            (2)      1.5r + tr + 10t = 225

         2r + tr = 225

                tr = 225 - 2r                 1.5r + 225 - 2r + 10(225/r - 2) = 225

                t = 225/r - 2

                                                   -.5r + 225 + 2250/r - 20 = 225

                                                     -5r + 2250 + 22500/r - 200 = 2250

                                                     -5r^2 + 2250r + 22500 - 200r = 2250r

                                                       5r^2 + 200r - 22500 = 0

                                                       5(r^ + 40r - 4500) = 0

                                                           5(r - 50)(r + 90) = 0

                                                                 r = 50   or    r = -90

The rate cannot be negative, so the original speed 50 km/hr

This not an easy problem and I hope you were able to follow my work

Answer:50km hope that helped pls mark me brainliest :))

so i am hqving trouble with a particular question and hoping somebody could help me with it. this is the particular question 47 + 10x = -10x + 7​

Answers

Step-by-step explanation:

given 47 + 10x = -10x + 7

[tex]47 + 10x = - 10x + 7 \\ 47 + 10x + 10x = 7 \\ 47 + 20x = 7 \\ 20x = 7 - 47 \\ 20x = - 40 \\ x = - 40 \div 20 \\ = - 2[/tex]

I need help with this question

Answers

Answer:

[tex]\text{log}_a(1.5^{-1})=\frac{-9}{5}[/tex]

Step-by-step explanation:

Given;

[tex]\text{log}_a(2)=\frac{1}{2}[/tex]

[tex]\text{log}_a(3)=5[/tex]

By using logarithmic properties,

[tex]\text{log}_a(2)-\text{log}_a(3)=\frac{1}{2}-5[/tex]

[tex]\text{log}_a(\frac{2}{3})=\frac{1}{2}-5[/tex]

[tex]\text{log}_a(\frac{1}{\frac{3}{2}})=\frac{1}{2}-5[/tex]

[tex]\text{log}_a(\frac{1}{1.5})=\frac{1}{2}-5[/tex]

[tex]\text{log}_a(1.5^{-1})=\frac{1-10}{5}[/tex]

[tex]\text{log}_a(1.5^{-1})=\frac{-9}{5}[/tex]

Help me find measure of angle 1!

Answers

The answer for measure angle 1 is G 60

What is the result of −14⋅−1249?

Answers

Answer:

138

Step-by-step explanation:

Hope you have a wonderful day!

Please helpppp tyy :)

Answers

the second option because the key word is “product” which means multiplication:)

Answer:

5x + 3

Step-by-step explanation:

PLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!!

Answers

Answer:

B

Step-by-step explanation:

cause f ones have 5 lb and t ones have 2.5 lb

Answer:

B

Step-by-step explanation:

The correct answer is B!

Evaluate 8d, when d=12

Evaluate 75/d (75 divide by d), when d = 5

Evaluate 6p^2 + 8(6 times p to the second power plus 8), when p = 4

Answers

Answer:

9615104

Step-by-step explanation:

Given:

d = 12 find 8dd = 5 find 75/dp = 4 find 6p² + 8

Computation:

d = 12 find 8d

8(12)

96

d = 5 find 75/d

75 / 5

15

p = 4 find 6p² + 8

6(4)² + 8

6(16) + 8

96 + 8

104

Help QUICK! Pointless answers will be reported.
A model car is drawn at a scale of 21 to 1. If the model car is 9.2 in long, how long is the actual car in feet?

Answers

The actual car is 193.2ft long

A value of a car is $24,000. You pay it off by making payments of $6200 a year. Write and equation for when the car would be payed off

Answers

Answer: 24,000 / 6,200 = x years

Step-by-step explanation:

The car is valued at $24,000.

Yearly payments are $6,200.

The year that it will be paid off can be dtermined by calculating how long it would take $6,200 to get to $24,000.

You can do that by dividing $24,000 by $6,200.

Assume the number of years for the car to be paid off is x:

24,000 / 6,200 = x years

When solved:

= 24,000 / 6,200

= 3.87 years

NEED HELP ASAP
A car rental agency charges $50.00 per day plus $0.18 for each mile driven (x). The total cost for one day's rental can be calculated using the expression below.

$0.18x + $50.00

Using this expression, how much will it cost to rent a car for one day and drive 192 miles?

Answers

Answer:

I think it's $50.18 I'm not sure . hope that I helped you .

1000 chicken wings weighs 3000 g how many grams in one chicken wing weigh

Answers

Answer:

3 grams are in one chicken wing

Step-by-step explanation:

Set up an equation:

Variable x = grams per 1 chicken wing

1000/3000 = 1/x

Cross multiply

1000 × x = 3000 × 1

1000x = 3000

Divide both sides by 1000 to isolate the variable x

x = 3

Answer:

3

Step-by-step explanation:

3000/1000=3

The price of a scooter was Rs. 34000 last year. It has increased by 25% this year. Then the increase price is? Please in step by step answer method. I will mark you branliest.

Answers

Answer:

Rs. 42500

Step-by-step explanation:

100% + 25% = 125% ÷100 = 1.25

34000 x 1.25 = 42500

is my answer rightt!!

Answers

Answer:

Siiiiii

Step-by-step explanation:

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