Circle O has a radius of 5 centimeters and central angle AOB with a measure of 60°. Describe in complete sentences how to find the length, in terms of a radian measure, of AB.

Answers

Answer 1

Answer:

We can use the formula for finding arc length given ccx central angle and radius.(insert formula below) We then substitute 5 in for r and and 60 for x. We multiply 2 pi times 5 which gives us 10. We then reduce the fraction of 60/360 to 1/6. We multiply 10 pi by 1/6 and that gives us

10 pi/6 or 5 pi/3

Step-by-step explanation:

We can use the formula

[tex]2\pi \times r( \frac{x}{360} )[/tex]

to find the arc length where r is the radius.

and x is the arc measure.

Plug it in for the numbers

[tex]2\pi \times 5( \frac{60}{360} )[/tex]

Multiply 2 pi times 5=10 pi

[tex]10\pi( \frac{60}{360} )[/tex]

Simplify 60/360 to 1/6

[tex]10\pi \times \frac{1}{6} = \frac{10\pi}{6} [/tex]

Reduce it to

[tex] \frac{5\pi}{3} [/tex]

Related Questions

11 1 1 point Find the circumference of the circle. Do NOT round your answer. 16.8 m

Answers

Step-by-step explanation:

22/7*1111=3491

this is the ams

Solve for c 4(3+c)+c=c+4

Answers

Answer:

c= -2

Step-by-step explanation:

In city W, the average cost for a gym membership is given by the equation y = 34.99x +49, where y is the total cost, in dollars, for x months of membership. What is the meaning of the y-value when x = 1? *

Answers

The fee at the beginning of the membership.

If x = 1,
34.99(1) + 49 = y
34.99 + 49 = y
83.99 = y

what is 1.0×10 to the power of 14 in scientific notation

Answers

Answer: 100,000,000,000,000

Step-by-step explanation:

1.0 x 10^14

since the exponent is positive that means we move the decimal to the right 14 times and you should get 100000000000000.0

40000+10000n= how do i find the answer

Answers

Answer:

50000. easy

Step-by-step explanation:

Answer:

50000

Step-by-step explanation:

Plz help plzzzzzzzzz

Answers

Answer:

4th option OR last option

Step-by-step explanation:

Ok so I think it means hexagon not heptagon since I have never heard of heptagon. Just confirm that with your teacher if it is hexagon or heptagon.

Hexagon = 6 sides

This means that it is not second option. Nor it is the third option since it said that it should be more than 6 sides. Now we are left with 1st and 4th option. It also mentioned that all opposite sides should be parallel. Looking at the first option, not all sides are parallel. Some are big and some are small. This remains with the last option which is the 4th option.

Hope this helps, thank you !!

I WILL GIVE BRAINLIEST!!!! ANSWER QUICK!!!
Which of the following represents the general equation for the geometric sequence?

-1, -2, -4, …

a n = 2 n - 1

a n = -1 · 2 n - 1

a n = 1 · 2 n + 1

a n = 1 · 2 n - 1

Answers

Answer:

-1,-2,-4

an = a1 * r^(n - 1)

a1 = first term = -1

r = common ratio = 2

so the equation would be : an = -1 * 2^(n - 1)

Did You Find You Answer

Write 36 as a product of its prime factors.

Answers

2^2 x 3^2 is the answer to the question

Answer:

2 × 2 × 3 × 3 × 3

Factorise these expressions
a.
[tex] {x}^{2} + 20x + 19[/tex]
b.
[tex] {z}^{2} - 2z + 1[/tex]
c.
[tex]9(x - 1) - 3x[/tex]

Answers

Answer:

a. (x+19)(x+1)

b. (z-1)(z-1)

c. 3(2x-3)

Step-by-step explanation:

a. x^2+20x+19

(x+19)(x+1)

b. z^2-2z+1

(z-1)(z-1)

c. 9(x-1)-3x

9x-9-3x

6x-9

3(2x-3)

I NEED HELP
Use the compound interest formula A=P(1+rn)nt.

If $10,000 is invested at 2 percent semi-annually for 5 years, what is the amount at the end of the term?

$11,052

$11,051

$11,049

$11,046

Answers

Answer:

Step-by-step explanation:

Answer:

D: 11,046

Step-by-step explanation: i took the quiz

A cone has a height of 12 yards and a radius of 7 yards. What is its volume?

Use ≈ 3.14 and round your answer to the nearest hundredth.

____ cubic yards

Answers

Answer:

615.44 cubic yards

Step-by-step explanation:

V = 1/3·π·7²·12

question 7 is in the pic

Answers

Answer:

Step-by-step explanation:

This is the information the histogram represents.

Hope it helps!

Answer:

B I think?

Step-by-step explanation:

Hope its right

Asphere has radius of 3 cm. What is the volume of the sphere?

Answers

Answer:

radius =3cm

volume of the sphere =4/3 πr^3

=4/3*22/7*3*3*3=88/7*3*3=88/7*9=792/7

=113.1cm^3

someone plz help me plz

Answers

Answer:

38.5

Step-by-step explanation:

First do 77/2 then you get 38.5, if anything is wrong please tell me!!

Simplify each expression by combining like terms
-3x + 12x =

Answers

Answer:

Step-by-step explanation:

hshdhdhdxhhxhxhxhxhxhxhxhhxhxhxhhx

Answer:

9x or 15x

Step-by-step explanation:

-3x + 12x = 9x

-3 + 12 = 9,

or if you just straight out add

-3x + 12x = 15x

I need to know what the difference of this expression is.

(4 - 5i) - (12 + 11i)

Answers

Answer: -10-16i

Step-by-step explanation:

Given

(4-5i)-(12+11i)

Expand parenthesis

2-5i-12-11i

Put like terms together

(2-12)-(5i+11i)

Combine like terms

-10-16i

Hope this helps!! :)

Please let me know if you have any questions

1,275÷588 rounded pls i need some help

Answers

1275 divided by 588= 2.168367346938776
1dp=2.2
2dp=2.7
3dp=2.8

Heya, could someone help me figure this out? I'm kinda stuck on this question :p

Answers

Answer:

-0.5

Step-by-step explanation:

to understand thisyou need to know about:algebraPEMDASgiven:v=u+atu=2a=-5t=½let's solve:substitute the given values : v=2+(-5)×½v=2+(-2.5)v=-0.5

I really neeed help plssss

Answers

Answer:

Step-by-step explanation:

270/45=6

Answer:

1 minute = 6 calories burned

Step-by-step explanation:

270 ÷ 45 = 6

find the area of the shape

Answers

Answer:

787.5

Step-by-step explanation:

23×14=322

A=a+b /2h=15+34 /2·19=465.5

322+465.5=787.5

2 1/6 x 4 1/2 Solve the problem AND explain your steps

Answers

The answer is 9 3/4, 9.75
Explanation: 13/6 x 9/2
(reduce) 13/2 x 3/2
(Multiply 13/2 x 3/2)
39/4
(Reduce again) 9 3/4 or 9.75
Hope this helps

Meaghan and Lily are dividing 43.61 by 7. Meaghan says that the first digit of the quotient is in the ones place. Lily says it is in the tens place. Who is right? How do you know?

Answers

Answer: Meaghan is right.

Step-by-step explanation:

For a number like:

123.45

the tens place would be the "2" (second number at the left of the decimal point)

The ones place would be the "3" (first number at the left of the decimal point)

Let's suppose that Lily is correct.

Then the quotient of:

43.61/7

Will be a number with two digits in the left of the decimal point.

The smallest number that meets this condition, is the number 10.

Then let's see:

7*10 = 70

then:

70/7 = 10

and:

43.61 < 70

(70 is larger than 43.61)

then:

43.61/7 < 70/7 = 10

Then:

(43.61/7) < 10

This means that our quotient is smaller than 10, then the first digit of the quotient can not be on the tens place.

Then Meaghan is the correct one.

We also could perform the quotient to find:

43.61/7 = 6.23

So yes, Meaghan is correct.

5 is not more than x

Answers

Answer:

well we don't don't know...because x is unknown

Answer:

There no problem but 5<=x in equation form

Step-by-step explanation:

That way because x can either be five or higher

factor completely 2x^3-18x

Answers

Answer:

2x(x+3)(x-3)

Step-by-step explanation:

b) Work out 4 =
5
Give your answer as a mixed number in its simplest form.

Answers

Answer:

Step-by-step

explain your question more please.

name a pair of adjacent angles using the picture above.

Answers

Answer:

<RUS and <SUT

Step-by-step explanation:

Adjacent angles have one side in common but no common interior points.

<RUS and <SUT

Answer:

The right angles are adjacent because adjacent angles

Step-by-step explanation:

Adjacent angles are two angles that have a common vertex

There's an attachment. This is due in TWO minutes! I will award brainliest. Please answer soon!

Answers

Answer:

ultiply by 2 and then add 2

Step-by-step explanation:

....hi

what is 7 divided by 10 as a fraction

Answers

The fractional form is 7/10.

What is Fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

We have to divide 7 by 10.

The common factor for 7 and 10

7 = 7 x 1

and, 10= 2 x 5 x 1

so, there is only one factor common is 1.

Thus, the fraction is 7/10.

Learn more about Equivalent Fraction here:

https://brainly.com/question/29766013

#SPJ2

What is the image of (0, 6) after a dilation by a scale factor of 1/3 centered at the origin ?

Answers

I think it’s (0,2) because it’s at the origin and that’s 1/3 of 6

Answer:

0,4

Step-by-step explanation:

did on delta math rn and got it right. basically just divide 0,12 by 1/3

ex: 0 by 1/3 and 12 by 1/3

12/3 is 4 so 0,4

What is the constant in the expression 7x + 3

Answers

Answer:

Step-by-step explanation:

In expressions, there are 4 items to look at :

1. Terms

2. Coefficients

3. Like Terms

4. Constant Terms

Since 4. is the topic at hand, let's focus on that, constant terms are terms that cannot be changed value.

This would mean numbers without a variable, look at the expression below :

7x + 3

Since 3 doesn't have a variable, therefore 3 is a constant term.

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