find the length of the arc intercepted by a central angle of 1.5 radians in a circle of radius 9 cm.

Answers

Answer 1

Answer:

13.5 cm

Step-by-step explanation:

The length of an arc depends on the radius of a circle and the central angle θ. We know that for the angle equal to 360 degrees (2π), and the arc length is equal to circumference. Hence, as the proportion between angle and arc length is constant, we can say that:

L/θ = C/2π (C = Circumference = 2πr)

L/θ = 2πr/2π,

L/θ = r,

L = r*θ = 9 cm * 1.5 = 13.5 cm


Related Questions

Select all the decimals that are greater than 715.148 and also less than 715.35.

A. 715.340
B. 715.4
C. 714.156
D. 715.075
E. 715.28

Answers

Greater than 715.148.
A
B
E

Answer:

A, and e

Step-by-step explanation:

Can someone please help me with this question

Answers

Answer:

5¹⁸

Step-by-step explanation:

(5³)⁶

5

3 x 6

5¹⁸

There is a bag with 50 popsicles inside. 5
are red, 15 are orange, 12 are blue, 8 are
yellow and 10 are purple. If you were to
grab one popsicle from the bag, what is
the probability that it is purple?

Answers

Answer:

25%

Step-by-step explanation:

We know that there are ten purple popsicles. Together without the purple popsicles, there are 40 popsicles in total. Therefore there is a 10/40 chance to get purple. We need to turn this into a percentage so we do (10 / 40) x 100. This would equal to 25%, therefore, there is a 25% probability to get a purple popsicle.

HELLPP this is due in 7 minutes

Answers

Answer:

a

Step-by-step explanation:

Answer:

option c

Step-by-step explanation:

Please help me with this homework

Answers

Answer:

See screenshot below

Step-by-step explanation:

Yes Bus Column:

We need to find an answer for the "no taxi" section. And we have the total and the "yes taxi" section. So, the "yes taxi" section + the "no taxi" section gives you the total. Another way of saying this is total - "yes taxi"  = "no taxi"125 - 30 = 95

No Bus Column:

We need to find the total of the "yes taxi" section and the "no taxi" section. So, if we add those two sections together, we'll get the total90 + 185 = 275

Total column:

So, this column is really simple to fill out. All we're doing it adding our answers above to get one answer in each section."Yes Taxi" section: 30 + 90 = 120"No Taxi" section: 280Total section: 125 + 275 = 400We could have also done the total section by adding together 120 and 280, but we would get the same answer, anyway.

I hope this helps!

Raju covers a certain distance in 1 hour and sham covers the same distance in 2 hours , who travels in a higher speed?

Answers

Answer: Raju travels at a higher speed.

Step-by-step explanation:

[tex]Speed =\dfrac{Distance}{Time}[/tex]

Speed inversely proportional to time.

As time taken to cover a particular distance decreases the speed will increase.

Raju covers a certain distance in 1 hour.

Sham covers the same distance in 2 hours.

1< 2

Thus Raju travels at a higher speed.

Megan's dog Sparky eats 4 1/4 cups of food each day. EXPLAIN how Megan can determine how much food to give Sparky if she needs to feed him only 2/3 as much. SOLVE the problem. (you need to solve AND explain, do not just solve) *

Answers

Answer:

If Megan is already feeding him 4 1/2 cups of food and she "needs to feed him only 2/3 as much" then you are looking for a smaller number. 6 3/8 cups would give the dog more food.

Step-by-step explanation:

need the answer now will make brainleist

Answers

A; as i’m assuming the question is which one is a function

Answer: lolbmfb and Dickerson’s testified ok if do add bcfgvdr

Step-by-step explanation:

WHAT IS 5.005 AS A MIX NUMBER!!! I will give you 100 points

Answers

Step-by-step explanation:

it would be like 500.5% or 1001/200

a recipe for sparking grape juice calls for 1 1/2 quarts of sparking water and 3/4 quarts of grape juice. how much sparking water would you need to mix with 9 quarts of grape juice?

Answers

Answer:

you would need 18 quarts of sparkling water to mix with 9 quarts of grape juice

Step-by-step explanation:

1 1/2 is double of 3/4 so you just need to double 9 quarts of grape juice

Answer:

18 quarts of sparkling water

Step-by-step explanation:

9÷0.75=12 to figure how many times the recipe is multiplied.

12x1.5=18 to figure out how much sparkling water

3/4 = 0.75

1 1/2 = 1.5

Solve the equation

x+4=3(3x-4)

Answers

Answer:

x = 2

Step-by-step explanation:

x+4=3(3x-4) the answer is

PLS SOMEONE HELP MEEE​

Answers

Answer:  20

Explanation:

Answer:20



Explanation:

using the parent function f(x) = 2^x, write the new function, g(x), that transforms f(x) by shifting 6 units up

Answers

Answer:

g(x) = 2^x + 6

Step-by-step explanation:

Parent function:

f(x) = 2^x

Translation 6 units up:

g(x) = f(x) + 6

or

g(x) = 2^x + 6

How many more marmosets are there than mandrills?

Answers

Answer:

3

Step-by-step explanation:

Find the area of the triangles put together.

Answers

Answer:

i might be compltely wrong but i am geting 24

Step-by-step explanation:i probply am wrong

This is a Linear equation type question... what is n+5/2 = 13

Answers

Answer:

n = 10.5

Step-by-step explanation:

i used a calculator ( hope this helps)

The awnser for this should be 10.5

Use the information to find an equation (y=mx+b) for the amount of Sponsorship money (Y) you an make for each day of the trip. Show your work and explain your steps below. Coca Cola 5 days - $134 10 days - $164 15 days - $194 20 days - $224

Answers

Answer:

y = 6x + 104

Step-by-step explanation:

Given the equation in the form:

y = mx + b

m = slope ; b = intercept

Given the data:

5 days - $134 10 days - $164 15 days - $194 20 days - $224

To obtain the slope, Pick the points :

(5, 134) and (20, 224)

Slope = y2 - y1 / x2 - x1

Slope, m = (224 - 134) / (20 - 5) = 90 / 15 = 6

Plugging into the equation :

We have ;

y = 6x + b

Picking any point from the data and plugging in to solve for b:

(10, 164)

164 = 6(10) + b

164 = 60 + b

b = 164 - 60

b = 104

Equation finally becomes ;

y = 6x + 104

PLZ HELP ONLY WANT ANSWER IF 1,000% SURE

For each value of x, determine whether it is a solution to 5x<35 .
9: yes or no
5: yes or no
11: yes or no
3: yes or no

Answers

Answer:

Step-by-step explanation:

The alligator eats the bigger number, < is a less than sign

5(9) = 45. Is 45 less than 35? No.

5(5) = 25. Is 25 less than 35? Yes.

5(11) = 55. Is 55 less than 35? No.

5(3) = 15. Is 15 less than 35? Yes.

Answer:

the correct answer is c

Step-by-step explanation:

have a nice day (btw can give me brainliest)

Use the relationship between the angles to find the value of x.

X - 5°
4x
2x + 10°

Answers

Answer:

sorry I don't know the answer I have a test tomorrow and I need the points to ask my questions

What is the solution to this equation? -6x + 3 = 21 A. X= 4 B. X = -8 C. X = 3 D. X= -4​

Answers

Answer:x+-3

Step-by-step explanation:

-6x+21-3

-6x=18

Help!!
Find the measure of angle 1

Answers

Answer:

112 degrees

Step-by-step explanation:

Since the two sides opposite of angle 1 and 2 are congruent, as shown by the double tic marks, the angles are conguent. The total sum of all angles must be 360 degrees, so we know 90 degrees was given, as well as 46 degrees. That's 136 degrees together, subtract that from 360 and you get 224. Angles 1 and 2 are congruent so both add to 224, therefore each angle is 112 degrees.

Tiffany earns an annual income of $ 55 , 000 . After she pays taxes, her take-home pay is $ 41 , 800 . Tiffany gives 5 % of her take-home pay to a stock broker to invest into the stock market. At the end of the year, her investment earned 8 % . How much money did Tiffany's investment earn in the stock market?

Answers

Answer:

1678.95

Step-by-step explanation:

Tell whether the ratios form a proportion. 30/75, 24/60

Answers

Given:

The ratios are  [tex]\dfrac{30}{75}[/tex] and [tex]\dfrac{24}{60}[/tex].

To find:

Whether the ratios form a proportion or not.

Solution:

If two ratios represent the same relationship then they form a proportion.

We have,

[tex]\dfrac{30}{75}[/tex] and [tex]\dfrac{24}{60}[/tex]

Write the given ratios in the simplified forms.

[tex]\dfrac{30}{75}=\dfrac{15\times 2}{15\times 5}[/tex]

[tex]\dfrac{30}{75}=\dfrac{2}{5}[/tex]

And,

[tex]\dfrac{24}{60}=\dfrac{12\times 2}{12\times 5}[/tex]

[tex]\dfrac{24}{60}=\dfrac{2}{5}[/tex]

Since [tex]\dfrac{30}{75}=\dfrac{24}{60}=\dfrac{2}{5}[/tex], therefore the ratios form a proportion.

9, 18, 36... Find the 6th term. The first three terms of a sequence are given. Round to the nearest thousand (if necessary).

Answers

288
9 times 2 is 18 18 times 2 is 36 keep multiplying

Tamara says she used the GCF to factor the expression 21x + 56xy as 7(3x + 8xy). Is she correct? Explain.
please write the correct answer

Answers

Answer:

Tamara incorrectly factored the whole expression.

Step-by-step explanation:

Note that

•21x=3·7·x;

•56xy=2·2·2·7·x·y.

Mark in bold all common factors, then GCF(21x,56xy)=7·x=7x.

Thus,

21x+56xy=7x(3+8y).

Hence, Tamara correctly found the GCF of numbers 21 and 56, but incorrectly factored the whole expression.

a lesson ends at 2:30 it lasts for 55 minutes. when does the lesson starts

Answers

Answer: 1:35

Step-by-step explanation:

Just go and hour back from 2:30 and add 5 minutes

Answer:

1:35

i subtracted at a 1 back from 2:30 -5 minutes which would be 1:35 sorry if i confused you

Which of the following has the steepest graph ?

Answers

Answer:

D also if you input these equations into Desmos it can graph it for you :)

Step-by-step explanation:

Sale! 60% OFF of the original price! Samuel wants to buy a model airplane. The original price is $40. How much will Samuel pay if he buys it during the sale?​

Answers

Answer:

$16

Step-by-step explanation:

1-.6=.4

.4 x 40 = 16

Answer:

60% of 40.00 is 24

Step-by-step explanation:

I hope this helps! Have a wonderful day!

Can anyone please help me out? I have to find the Greatest Common Factor for each, thank you!​

Answers

Answer:

1= 4x^2

2= 5b^4

3= 3u^2v^2w

4= 7

5= bc^3d^6

Note: ^ stands for exponents

*PLEASE ANSWER!!, I DONT GET IT*

Susie earns $9.00 per hour. She worked 37 hours from Monday to Friday. What were her total wages?

a.) $450

b.) $333

c.) $324

Answers

Answer:

b

Step-by-step explanation:

9 x 37 = 333

Answer:

$333

Step-by-step explanation:

As, the total hours Eleanor works = 37

And per hour he gets = $9

So the total wage her gets = $9 x 37

= $333

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