The radius of a circle is 3 inches. What is the length of a 45° arc?

The Radius Of A Circle Is 3 Inches. What Is The Length Of A 45 Arc?

Answers

Answer 1

Answer:

[tex]\frac{3\pi}{4}\:\text{inches}[/tex]

Step-by-step explanation:

The length of an arc is a part of the circle's circumference.

The circumference of a circle is equal to [tex]2\pi r[/tex], where [tex]r[/tex] is the radius of the circle. Therefore, the circumference of the circle is [tex]2\pi(3)=6\pi[/tex].

Since there are 360 degrees in a circle, the length of a 45 degree arc is equal to [tex]\frac{45}{360}[/tex] of the circumference.

Thus, the length of the arc is equal to [tex]\frac{45}{360}\cdot6\pi =\boxed{\frac{3\pi}{4}\:\text{inches}}[/tex].


Related Questions

how do i do c? helppppppppppppppp

Answers

Answer:

Step-by-step explanation:

A pet store has 11 ​puppies, including 3 ​poodles, 4 ​terriers, and 4
retrievers. If Rebecka selects one puppy at​ random, the pet store replaces the puppy with a puppy of the same​ breed, then Aaron chooses a puppy at random. Find the probability that they both select a poodle.

Answers

Retrievers of baraka select 130 a random repair replacing the pump over the furnace and random reason



An automobile's velocity, starting from a complete stop, is v(t) =140t/5t - 6 where v is

measured in feet per second. After what elapsed time would the automobile reach a

velocity of 44 Feet per second?

Answers

Answer:

3.3 seconds

Step-by-step explanation:

v(t) =140t/5t - 6 where v is velocity

The time, t when, v = 44 ft/s

Put v = 44 ft/s in the equation :

44 = 140t / 5t - 6

44(5t - 6) = 140t

220t - 264 = 140t

-264 = 140t - 220t

-264 = - 80t

Divide both sides by 80

264 / 80 = 80t/80

3.3 = t

Hence, automobile will reach a velocity of 44 ft /s after 3.3 seconds

The elapsed time would the automobile reach a velocity of 44 Feet per second is 3.3 seconds

Calculation of the elasped time:

Since

An automobile's velocity, starting from a complete stop, is v(t) =140t/5t - 6 where v is measured in feet per second.

So, the time should be

[tex]44 = 140t \div 5t - 6[/tex]

44(5t - 6) = 140t

220t - 264 = 140t

-264 = 140t - 220t

-264 = - 80t

3.3 = t

Hence, The elapsed time would the automobile reach a velocity of 44 Feet per second is 3.3 seconds

learn more about time here: https://brainly.com/question/24308516

800 ÷ 30
SHEEEEEEEEEEEEEEEESH

Answers

Answer:

800 ÷ 30 = 26.66666666666667 or 26.

Step-by-step explanation:

help.
step by step please
no links i will report :)

Answers

Answer: 2 1/13

Step-by-step explanation: keep change flip. keep 9/13 and then change, so you multiply 9/13x3/1 which is equal to 27/13 which is 2 1/3

please and thank you , 10 points​

Answers

i don’t know the answer but pls do not click the link the other person sent!! it is a scam

What decision rules are the best/worst? Be able to rank the rules from worst-to-best or best-to-worst.

Answers

Answer:

NPV, IRR, payback.

Step-by-step explanation:

The best worst decision technique involves the choice modelling. In terms of the overall usefulness in the capital budgeting decisions,

-- the decision rule that is best is the NPV

-- the decision rule that is worst is payback period

The NPV capital budgeting tool provides accurate results and it also assumes cash flow can be reinvested at a discount rate.

The IRR is the second best budgeting tool where it assumes that the cash flows can be reinvested at IRR.

And the worst is the payback where it does not take into account its time value of the money and so it does not yield the correct as well as accurate results.

Therefore, ranking the rules from best to worst is : NPV, IRR, payback.

(MGSE9-12.G.SRT.8) Find the measure of the angle to the nearest degree. co 19 ? 38 A) 30° B) 27° C) 63° D) 60°​

Answers

Answer:

b

Step-by-step explanation:

*PLEASE HELP* A metal ornament is being designed such that its perimeter is created by four identical three-quarter circles as shown whose centers are connected to form a square. The ornament, both circular and square portions, made of wire that weighs 1.8 grams per inch. The square has sides that are 4 inches long.

Answers

Questions :

(a) Determine the total length of the circular portions in terms of

pi. Show the work that leads to your answer.

(b) Determine the total length of wire needed, both circular and

square portions, to the nearest tenth of an inch.

G

(c) Determine the total weight of the ornament to the nearest

gram.

Answer:

12π

53.68 in

96.624g

Step-by-step explanation:

The total length of the circular portion :

Perimeter of circle = Circumference of the circle = 2πr ; r = radius = 2

Size of each circle is 3/4

Number of circles = 4

Number of complete circles :

4 × 3/4 = 3 complete circles

Perimeter of circle:

Number of circles * (2πr)

3 * 2 * π * 2 = 12π

Total wore needed :

Circular + Square

Perimeter of square = 4s

s=side length = 4

Total square 4 * 4 = 16

Perimeter of Square + perimeter of circle

16 + 12π = 16 + (12 * 3.14) = 53.68 in

Total weight of ornament :

1.8 g * perimeter

1.8 * 53.68 = 96.624g

Can someone help me with this question please

Answers

Answer:

c

Step-by-step explanation:

ASAPPP
-WILL MARK BRIANIST

Answers

Answer:

A. 2:1

Step-by-step explanation:

pretty sure larger numbers go first

Answer:

D)  1:2

Step-by-step explanation:

A hockey bag contains 5 red jerseys, 6 blue jerseys and 7 white jerseys.

What is the probability that Jack picks a white then a blue jersey if he puts the first one back.

Answers

Answer:

7/54

Step-by-step explanation:

A hockey bag contains 5 red jerseys, 6 blue jerseys and 7 white jerseys.

Let the total number of jerseys =

5 red jerseys + 6 blue jerseys 7 white jerseys.

= 18

P(White) = 7/18

P(Blue) = 6/18

Hence, the probability that Jack picks a white then a blue jersey if he puts the first one back.

This is probability with replacement, hence:

7/18 × 6/18

= 7/18 × 1/3

= 7/54

A factory makes 1,200 shirts every 6 hours. The factory makes shirts for 9 hours each workday. How many shirts does the factory make per hour? shirts per hour How many shirts does the factory make per workday (9 hours) ? shirts per workday How many workdays will it take to make 12,600 shirts? workdays

Answers

Answer:

they make 200 per hour and 1800 every 9 hours and it would take 7 workdays to make 12,600

Step-by-step explanation:

yep I'm smart

Question 3
A bucket contains 4 red marbles, 10 blue marbles, 7 yellow marbles, and 5 green marbles.
What is the probability that you will get a blue, then a yellow with replacement?
a: 17/52
b: 10.796
c: 35/388
d: 10/26

Answers

It looks like it could be c but I’m not sure

What is the scale factor?

Answers

Answer:

I send you a pic

Step-by-step explanation:

is that help?

Express the solution graphically of – }(2x + 1) < 3.

Answers

Answer:

The third one counting from the top.

Step-by-step explanation:

We have the inequality:

(-1/3)*(2x + 1) < 3

The first thing we need to do is isolate x on one side of the inequality.

First we can by -3 in both sides of the inequality, and remember, because we are multiplying by a negative number, the inequality sign changes its direction:

(-3)*(-1/3)*(2x + 1) > 3*(-3)

(2x + 1) > -9

Now we can subtract 1 in both sides:

2*x + 1 - 1 > -9 - 1

2*x > -10

Now we can divide by 2 in both sides:

2*x/2 > -10/2

x > -5

Then we should see a number line such that all the points at the right of -5 are colored.

The correct option is the third one, counting from the top.

What is the solution of the equation 56 = 2.8y?
A. y = 20
B. y = 156.8
C. y = 2
D. y = 58.8

Answers

the answer would be a:)

Please answer correctly I’ll mark you brainlist!

Answers

Answer: 5 cm

Step-by-step explanation:

since the last step in finding area of a triangle is divide by 2, multiply the area by 2 to get the original number

30 x 2 = 60

area/base = height

60/12 = 5

PLEASE HELP EASY MATH!!!

Answers

C.) 16

EXPLANATION:
The entire figure is 30 cm sq.

14 of it is in the triangle.

meaning the rest is in the square

30 - 14 = 16.

Hope this helps!
Answer:

C. 16

Explanation: have a good day!

Find the circumference of the circle. Use 3.14 for pi. Use the inches squared for the
answer. (circle is 9 inches)

Answers

Answer:

the answer is 30.975

Step-by-step explanation:

... i haven't learned this so i cannot give you an explanation. sorry but i hope this helps :))

What is the domain of f(x) = 5- 7?
O x | x>-7)
O {x | X <-7}
0 {x|x>0}
O x | x is a real number}

Answers

Answer:

c

Step-by-step explanation:

hi

The domain of f(x) = 5x - 7 is {x | x is a real number} and this can be denoted as (-∞, ∞) for all x ∈ R.

What is domain?

The domain is the set of all the input values given to a function.

Given is an expression f(x) = 5x - 7, we need to find the domain,

We know that,

The domain of any expression is set to all the real numbers, except where the expression is undefined.

Therefore, the domain is all real numbers.

Also,

The graph of the function will be a straight line without discontinuities.

Hence the domain of f(x) = 5x - 7 is {x | x is a real number} and this can be denoted as (-∞, ∞) for all x ∈ R.

Learn more about domain click;

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Find the number of degrees in the third angle of
the triangle
The figure is not drawn to scale.
The measure of the missing angle I'd 100 43

Answers

Answer:

37

Step-by-step explanation:

triangles' inside angles always equal 180. so 100+43=143. 180-143=37

ANSWER QUICK PLEASE

15 points

Answers

Answer:

B: b x 2 = c

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The answer is B bc b. is not equivalent to two and if you switch the variables either way the answer will be the same.

will give brainliest. no links please

Answers

hi my name is daniell with two ls my mom calls me fat boy and i hate it

HELP PLEASE ASAP!!!!!!

Answers

Answer:

a. d(x) = x

b. yes

Step-by-step explanation:

a. since c(x) = [tex]x^{2}[/tex] + 1

c(d(x)) = (d(x))^2 + 1 (replace x with d(x))

that means d(x) has to be x for c(d(x)) to equal [tex]x^{2}[/tex] + 1

b. for example if you use 2 as x, c(d(x)) will equal 5 since d(x) = 2 and [tex]2^{2}[/tex] + 1 = 5

d(c(x)) will also equal 5 because c(x) = [tex]2^{2}[/tex] + 1 = 5 and d(c(x)) = c(x) = 5

PLEASE HELP 35 POINTS
Find the value of x in the triangle shown below.

Answers

Answer:

B sqrt(17)

Step-by-step explanation:

Using pythagoras theorem

step and justification of root√3.5​

Answers

[tex] \large \boxed{ \boxed{ \sqrt{3.5} }}[/tex]

In this case, we are going to use the 'Babylonian method to get the square root of any positive number.We must define an error for the final result.Say, less than 0.01. In other words, we will try to find the value of the square root to at least 1 correct decimal places.

Step 1:

Divide the number (3.5) by 2 to get the first guess for the square root. first guess = 3.5 / 2 = 1.75.

Step 2:

Divide 3.5 by the result obtained in stepprevious. d = 3.5 / 1.75 = 2.Roll the arithmetic mean of (d) and the obtained valuein step 1: (2 +1.75) / 2 = 1.875 (new

approach).

Error = new guess - previous value = 1.75 1.875 = 0.125.0.125 0.01. As the error> accuracy, please repeat thist happened one more time.

Step 3:

Divide 3.5 by the result obtained in the previous step. d = 3.5 / 1.875 = 1.8666666667.Roll the arithmetic mean of (d) and the value obtained in step 2: (1.8666666667 + 1.875) / 2 =1.8708333334 (new approximation).Error = new guess - previous value = 1.875 -1.8708333334 = 0.0041666666

0.0041666666 <0.01. Once the error <accuracy, stop the process and use 1.8708333334 as the final value for the square root.Then we can say that the square root of 3.5 is 1.87 with an error less than 0.01 (actually the error is 0.0041666666). This means that the first 2 decimal places are correct. Just for comparison, the returned value using the javascript function Math.sqrt (3.5) 'is 1.8708286933869707.

Note: There are other ways to calculate square root. This is just one of them.

[tex] \bold{brainlymentalmente}[/tex]

Jack wants to find out which can of pineapples is the best buy. He has a choice of four
different-sized cans. Which can has the lowest unit price per ounce?

A. 8 ounces for $1.44
B. 18 ounces for $2.88
C. 10 ounces for $1.62
D. 6 ounces for $1.14

HURRY PLEASE

Answers

18 ounces for 2.88

2.88 divided by 18 is .16 which is 16 cents per ounce which is the cheapest of all the options.

PLEASE HELP DUDE. I JUST NEED THE ANSWER .A scuba diver is 356 feet below the surface of the water. The angle of depression the diver makes with her boat is 39degrees

To the nearest foot, how far is the diver from the boat?

A
566 ft

B
176 ft

C
161 ft

Answers

The answer is A......

The diver is approximately 276.5 feet away from the boat to the nearest foot.

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

We can use the tangent function to solve this problem.

Let x be the distance from the boat to the point directly below the scuba diver on the water's surface.

Then we have:

tan(39°) = x/356

Multiplying both sides by 356, we get:

x = 356 tan(39°)

x = 276.5

Therefore,

The diver is approximately 276.5 feet away from the boat to the nearest foot.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

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The power generated by an electrical circuit (in watts) as a function of its current ccc (in amperes) is modeled by: P(c)=-20(c-3)^2+180P(c)=−20(c−3) 2 +180

Answers

Answer:

The current that produces maximum power is 3A

Step-by-step explanation:

Given

[tex]P(c) = 20(c - 3)^2[/tex]

Required [Missing from the question]

The current that produces maximum power

First, we represent the function in standard form

[tex]P(c) = 20(c - 3)^2[/tex]

[tex]P(c) = 20(c - 3)(c - 3)[/tex]

Open bracket

[tex]P(c) = 20(c^2 -6c+ 9)[/tex]

[tex]P(c) = 20c^2 -120c+ 180[/tex]

The maximum value of c is:

[tex]Max(c) = \frac{-b}{2a}[/tex]

Where:

[tex]f(x) = ax^2 + b^2 + c[/tex]

By comparison: [tex]P(c) = 20c^2 -120c+ 180[/tex]

[tex]a = 20[/tex]

[tex]b = -120[/tex]

[tex]c = 180[/tex]

So, we have:

[tex]Max(c) = \frac{-b}{2a}[/tex]

[tex]Max(c) = \frac{-(-120)}{2 * 20}[/tex]

[tex]Max(c) = \frac{120}{40}[/tex]

[tex]Max(c) = 3[/tex]

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