A central angle of a circle that measures 2 radians intercepts an arc of length 10 cm. What is the length of the radius?
5 cm
10 cm
15 cm
20 cm

Answers

Answer 1

Answer:

5 cm

Step-by-step explanation:

Arc length (S) = 10 cm

Central angle [tex] (\theta) [/tex] = 2 radians

We need to find: radius of the circle (r)

[tex] \because S = r \theta [/tex]

[tex] \therefore 10 = r(2) [/tex]

[tex] \therefore r= \frac{10}{2} [/tex]

[tex] \therefore r= 5\: cm [/tex]


Related Questions

HELP PLEASEEE How can you break up the figure into familiar shapes to determine the area?

A figure is broken into a triangle and rectangle. The rectangle has a base of 5 feet and height of one-third feet. The triangle has a base of 3 and two-thirds feet and height of 2 feet.
Break up the figure into a 2 ft by 3 and two-thirds ft triangle and a 5 ft by One-third ft rectangle.
Break up the figure into a 2 ft by 5 ft triangle and a 5 ft by One-third ft rectangle.
Break up the figure into a 2 ft by One-third ft triangle and a 5 ft by One-third ft rectangle.
Break up the figure into a 2 ft by 1One-third ft triangle and a 5 ft by One-third ft rectangle.

Answers

Answer:

A) Break up the figure into a 2 ft by 3 and two-thirds ft triangle and a 5 ft by One-third ft rectangle.

Step-by-step explanation:

hope it helps...

have a great day!!

Answer:

Your answer would be A: Break up the figure into a 2 ft by 3 and two-thirds ft triangle and a 5 ft by One-third ft rectangle.

Step-by-step explanation:

Which statements are true about the area of a circle? check all that apply

Answers

Answer:

circle is measured by 360°

Step-by-step explanation:

circle half of 180°

Mhanifa please help!!!

Answers

Answer:

B. rhombus

Step-by-step explanation:

This is not a square or rectangle because of the 94° angle

All sides are equal, it is a rhombus

3x+3=108 PLSSS help Giving brainliest!!

Answers

Answer:

x=35

Step-by-step explanation:

3x+3=108

3x=108-3

3x= 105

x= 105/3

x=35

An electrician needs to know that the relationship between amps, volts, and resistance is
expressed in the formula V = IR where V is volts, I is amps, and R is ohms. How large a
resistance is needed to produce 8 amps from 184 volts?

Answers

Answer:

R = 23 ohms

Step-by-step explanation:

Start with V = I*R.  Solve for R:  R = V/I

Here I = 8 amps and V = 184 volts, and so

R  = (184 volts) / (8 amps) = 23 ohms

4^m x 4^2 = 4^12 whats m?

Answers

Answer:

m=10

Step-by-step explanation:

Hi!
M= 10
Hope this helps

Put the steps to solve the quadratic equation in order.
Solve: 7x2 - 2x - 5 = 0
X =
2+4-4(7)(-5)
207)
Select ]
X =
[Select ]
+ 12
x = - or 1
[Select]
=
27144
14
[Select]
a = 7, b = -2, c= -5
[ Select]
= - 19 or 14
[Select)

Answers

Answer:

1.) [tex]x=\frac{5}{12}[/tex]

2.) [tex]=28986[/tex]

Step-by-step explanation:

1.) [tex]\mathrm{Multiply\:the\:numbers:}\:7\cdot \:2=14[/tex], [tex]14x-2x-5=0.[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:14x-2x=12x[/tex][tex], 12x-5=0.[/tex]

[tex]\mathrm{Add\:}5\mathrm{\:to\:both\:sides}, 12x-5+5=0+5.\\12x=5, \mathrm{Divide\:both\:sides\:by\:}12.\\\frac{12x}{12}=\frac{5}{12}, x=\frac{5}{12}[/tex]

2.) [tex]2+4-4\left(7\right)\left(-5\right)\cdot \:207=28986[/tex]

[tex]=28986[/tex]

3.) ?, I can't read that. Please put it more 'configurative'.

Will give brainist help!!!

Answers

Answer:

A

Step-by-step explanation:

SECTION A:
QUESTION 1
MULTIPLE CHOICE (10 MARKS)
1.1 The way we see, think and feel about ourselves it includes all knowledge we have
about ourselves.
Self esteem
Self-awareness
Self-confidence

Answers

Answer:

Self esteem hope this helps

45% of Ms. Stacey's students will go on a field trip to the museum. If 90 of Ms. Stacey's students went to the museum field trip how many students does she have overall? A. 40.5 B. 50 C. 200

Answers

Answer:

c

Step-by-step explanation:

Number of students = number of students that went to the museum / percentage of students that went to the museum

90 / 0.45 = 200 students

...how many degrees does the hexagon rotate....

Answers

The answer is 6. I hope this helps

what is 10 rounded to the nerest 10

Answers

10 founded to the nearest ten place is 10...

Help me plz ………………?…;

Answers

Answer:

9.04ft

Step-by-step explanation:

This will help you

The net of a square pyramid and its dimensions are shown in the diagram. What is the total surface area of the pyramid in square meters?

Answers

Answer:

??? 208 ???

Step-by-step explanation:

Answer:

Answer:

208

Step-by-step explanation:

The general formula for the total surface area of a regular pyramid isbT. S. A. =12pl+B where p represents the perimeter of the base.

How would you begin to plot the ordered pair ( 6,2)?

Answers

Step-by-step explanation:

start with x which is 6

then plot it

then do y which is 2

and plot

Answer:

Make a grid and put your order pair in the graph

because you would take 6,2 and on the grid go up to 6 and down all the to 2 i hope i helped!

Step-by-step explanation:

Math help help help asap

Answers

Answer:

a) 0.071

b) 0.884

Step-by-step explanation:

a)

7.1 * 10^(2) = 7.1 * 0.01 = 0.071

b)

(6.8 * 10^2) * (1.3 * 10^(-3)) = 6.8 * 1.3 * 10^2 * 10^(-3) = 8.84 * 10^(-1) = 8.84 * 0.1 = 0.884

Answer:

a) 0.071

b) 0.884

Step-by-step explanation:

b) explanation

Group coefficients together and exponents together to multiply numbers in scientific notation.

(6.8 ⋅ 1.3) (10^2 ⋅ 10^−3)

Multiply 6.8 by 1.3

8.84 (10^2 ⋅ 10^−3)

Use the power rule a^m a^n = a^m+n  to combine exponents.

8.84 ⋅ 10^2 − 3

Subtract 3 from 2

8.84 ⋅ 10^ − 1

Convert  8.84 ⋅ 10^ − 1

from scientific notation.

0.884

hope this helps :) sorry I didn't include an explanation for a

p.s. i really need brainliest :)

Each day Theo versus dog 15 minutes in the morning and 25 minutes in the afternoon evaluate the expression 7 x (15 + 25) to find how many minutes to theo dog each week

Answers

Answer: 280 minutes

Step-by-step explanation:

Given

Expression is  [tex]7\times (15+25)[/tex]

Apply distributive law i.e.

[tex]a(b+c)=a\cdot b+a\cdot c[/tex]

[tex]\Rightarrow 7(15+25)=7\cdot 15+7\cdot 25\\\Rightarrow 7(15+25)=105+175=280[/tex]

Thus, theo dog took 280 minutes each week

13 km

5 km
What is the length of the missing leg?

Answers

Pythagoras' theorem:
b^2 = c^2 - a^2
Substitute in the values:
b^2 = 13^2 - 12^2
b^2 = 25
Square root it
b = 5km
The answer is option B. 5km

PLEASE HELP FAST!!!!!!!!!

Answers

Answer:

132 degrees

Step-by-step explanation:

To solve this problem, you need to know a couple of rules

1) Inscribed angle theroem: when an angle is inscribed in a circle and touches the other end (as opposed to ending at the diameter of the circle), the measure of this angle is half of the measure of the arc.

2)Angles of a quadrilateral shape add up to 360 degrees.

3) The angles inside a circle and the angles of the circles arclength adds up to 360 degrees.

So first, solve angle S with inscribed angle theorem. 126/2 = 63

Then, use the rule that all arc angles in a circle add up to 360 degrees to find the arc angle from Q to S. 360-90-126 = 144. Now find angle P with inscribed angle theorem by doing 144/2 = 72.

Now, use the rule that all angles in a quadrilateral add up to 360 to find R. 360-93-72-63 = 132.  

Let me know if this doesn't work, I'll look at it again.

A triangle has side lengths of 39, 80, and
87. Is this triangle a right triangle?

Answers

Answer:

Step-by-step explanation:

39²=1521

80²=6400

39²+80²=1521+6400=7921

87²=7569

7921≠7569

so it is not aright angled triangle.

Answer:

si

Step-by-ste

K
29
6x – 5
1 point
What is the value of x, in degrees?
15
в ОООО
18.22
20
2x – 3
24
(х+8
L
J
30
1 point
What is the measure of ZL?
115
93
ОООО
28
37

Answers

Answer:

1.x=20

<L=37

Step-by-step explanation:

(x+8)+(2x-3)+(6x-5)=180

x+8+2x-3+6x-5=180

9x-8+8=180

9x=180

x=180/9

x=20

<L=2x-3

<L=2*20-3

<L=40-3

<L=37

10.
Use the tangent ratio to find the size of the angle marked x, correct to the nearest degree.

Answers

36 using the angles replaceable to multiple bc it’s needed

How can you determine the part of an hour that is 15 minutes?

Answers

Answer:

You'll need to convert the minutes part to hours. 15 minutes times 1 hour per 60 minutes will make the conversion to hours and minutes will cancel out. 0.25 hours times 60 minutes per 1 hour = 0.25 hr × (60 min/ 1hr) = (0.25 × 60) min = 15 minutes.

Step-by-step explanation:

PLEASE HELP ME Which of the following statements is not supported by the Venn diagram below?

There are 55 students taking biology and geometry.
There are 39 students who are not taking both geometry and biology.
There are more students in biology than students in geometry.
There are more students in geometry than students taking only biology.

Answers

Answer:

the answer is

Step-by-step explanation:

There are more students in biology than students in geometry.

The following statements does not support the given venn diagram:

There are 55 students taking geometry and biology.

There are more students in biology than students in geometry.

What are Venn diagrams?

The components of a set or group are schematically represented by a Venn diagram. It is a diagram that depicts every conceivable logical connection between a finite collection of sets or groups. It is also known as set diagram.

In a Venn diagram, sets of various elements are represented by many overlapping shapes (often circles). It seeks to give a pictorial representation of the components, emphasizing their similarities and differences.

Solution:

If we consider the first statement i.e, there are 55 students taking biology and geometry then through the venn diagram we get:

                                   17₊ 22 ₊8 = 47

The result of the addition operation is not equal to the number of        students, hence it does not support to the statement.

If we consider the second statement i.e, there are 39 students who are not taking both biology and geometry then through the venn diagram we get:

                                    17 ₊ 22 = 39

The result of the addition operation is equal to the number of        students, hence it supports the statement.

If we consider the third statement i.e, there are more students in biology than students in geometry then through the venn diagram we get:

                                     17 ₊ 8 = 25 and 8 ₊ 22 = 30

                                            where, 25 < 30

Here, we can observe that students are less in biology and more in geometry, hence the result does not support the statement.

If we consider the fourth statement i.e, there are more students in geometry than students taking in biology, then through the venn diagram we get:

                                     22 ₊ 8 = 30

                                       30 > 17

Here, we can observe that students are more in geometry than students taking only biology, hence the result supports the statement.

So the following statements does not support the venn diagram given:

There are 55 students taking geometry and biology.

There are more students in biology than students in geometry.

Learn more about "Venn diagrams" here-

brainly.com/question/2099071

#SPJ2

Use a special right triangle to find the value of y. Write as a decimal rounded to the nearest 10th

Answers

Given:

The figure of a right angle triangle.

To find:

The value of y.

Solution:

in a right angle triangle,

[tex]\sin \theta=\dfrac{Opposite}{Hypotenuse}[/tex]

In the given right triangle,

[tex]\sin 60^\circ=\dfrac{6}{y}[/tex]

[tex]\dfrac{\sqrt{3}}{2}=\dfrac{6}{y}[/tex]

On cross multiplication, we get

[tex]\sqrt{3}y=12[/tex]

[tex]y=\dfrac{12}{\sqrt{3}}[/tex]

[tex]y=\dfrac{12\sqrt{3}}{3}[/tex]

[tex]y=4\sqrt{3}[/tex]

Therefore, the value of y is [tex]4\sqrt{3}[/tex] units.

The ratio of the areas of two similar parallelogram is 4:9. Find the height of the bigger one if the smaller is if height 4cm

Answers

Answer:

look it up because found the correct answer there

Step-by-step explanation:

NEED ANSWERS NOW!! (Reward) brainlest and pointsss

Answers

Answer:

B

Step-by-step explanation

f(x)=x2-4x-5

Becomes

f(x)=x2-5x+x-5

Take out the common factor

f(x)=(x-5)(x+1)

Equate the given function equal to 0

0=(x-5)(x+1)

And then

x-5=0 -- x=5

x+1 = 0 == x=-1

Answer:

B

Step-by-step explanation:

we are given a quadratic function

we want to figure out the form which we don't need change

so according to the question

[tex] \displaystyle{x}^{2} - 4x - 5 = 0[/tex]

rewrite -4x as x-5x:

[tex] \displaystyle{x}^{2} + x - 5x- 5 = 0[/tex]

factor out x:

[tex] \displaystyle \: x({x}^{} + 1)- 5x- 5 = 0[/tex]

factor out -5:

[tex] \displaystyle \: x({x}^{} + 1)- 5(x + 1 )= 0[/tex]

group:

[tex] \displaystyle \: (x + 1 )(x - 5)= 0[/tex]

hence our answer is B

Isabella invested $1300 in an account that pays 4.5% compounded annually. Assuming no deposits or withdrawals are made , find how much money Isabella would have in the account 14 years after her initial investment . Round to the nearest tenth.

Answers

Answer:

$2,407.5

Step-by-step explanation:

To solve this question, we will use the formula for calculating the amount formula as shown;

A =P(1+r)^n

Given that;

P = #$1300

r = 4.5% = 0.045

t = 14years

Substitute

A = 1300(1+0.045)^14

A = 1300(1.045)^14

A = 1300(1.8519)

A = 2,407.5

Hence Isabella would have $2,407.5 in her account after 14years

I really need to know the answer of this question

Answers

Answer:

Amir 20 Rita 45

Step-by-step explanation:

20/4=5

5*9=45

so this satisfices the ration 4:9

Answer:

Amir : 20 sweets and Rita : 45 sweets

Step-by-step explanation:

Rita has 25 more in all answers. to get the answer, this is to see which one : 4:9 ; 20:45.

we multiply 4 and 45 and 9 and 20. if we multiply them, both answers are 180. this means it is equal and that is the answer.

One hundred-seven lunch trays were placed
equally in 4 stacks. How many lunch trays
were in each stack? How many lunch trays
will be left over?

Answers

104 Trays are divided into the 4 Stacks
104 divided by 4 is 26.
3 trays left over
26.75 were in each stack
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Oftentimes, Congress and the government will not listen to those in the age group of 18 to 25, due to which of the following reasons? peos A. Because those who are 18 to 25 are not at the legal voting age. B. Because those who are 18 to 25 do not have jobs. C. Because they know those 18 to 25 are not likely to vote in elections. Within the genre of nonfiction, there are four major types. Please list and briefly explain each of these types of nonfiction. In secondary succession, which of these statements happens the latest?Wind brings lichens and mosses.Small shrubs and trees establish themselves.Soil is built. Shondura Inc. focuses on both local responsiveness and standardization in global business. The company typically begins with a strong emphasis in a single strategy and then works to minimize the downsides associated with that strategy as much as possible as they begin to implement the second strategy. Which of the following is best exemplified in this case?a. A multidomestic strategyb. A global strategyc. An arbitrage strategyd. A transnational strategy Determine another point on the line given two points on the line. (-2, 9), (2, -1) I need help on the second problem!!! A density graph for all of the possible temperatures from 60 degrees to 160 degrees can be used to find which of the following?A.The probability of a temperature from 30 degrees to 120 degreesB.The probability of a temperature from 90 degrees to 180 degreesC.The probability of a temperature from 30 degrees to 90 degreesD.The probability of a temperature from 90 degrees to 120 degrees If a cone has a height of 8 inches and a side measurement of 10 inches, what is the radius of its base? At the start of a party, a drink dispenser contains 9 quarts of iced tea. After the party only 7 cups of tea remain.How many cups of iced tea did people drink during the party? The scientific name for the leatherback sea turtle is Dermochelys coriacea. In which genus does the leatherback turtle belong? Explain why scientists believe that warm climates provide greater biodiversit someone please answer this!! answer the question for 15 points and brainlest The Romans believed because of knowledge obtained from the Greeks that diseases were connected to what ? And a a result began to develop what ? At what age do you think a person is an adult? Why do you think so? A company has the following unadjusted account balances at December 31, of the current year; Accounts Receivable of $185,700 and Allowance for Doubtful Accounts of $1,600 (credit balance). The company uses the aging of accounts receivable to estimate its bad debts. The following aging schedule reflects its accounts receivable at the current year-end:Account Age Balance Estimated Uncollectible PercentageCurrent (not yet due) $96,000 1.00%130 days past due 64,000 2.50%3060 days past due 16,000 11.00%6190 days past due 6,500 37.00%Over 90 days past due 3,200 70.00%Total $185,700 Required:a. Calculate the amount of the Allowance for Doubtful Accounts that should appear on the December 31, of the current year, balance sheet.b. Prepare the adjusting journal entry to record bad debts expense for the current year . Find the value of 6 1/5% of 425ml y 10 = -2(x + 9)Use the followingequation that is inpoint sope form andsimpify into siopeintercept formThen identify theslope and interceptof the line.ya Are there more than one outlier? Andy's age is 67, which is 17 less than 12 times bills age. What is bills age?