A circle has a circumference of 6. It has an arc of length 1.
What is the central angle of the arc, in degrees?

Answers

Answer 1

The circumference formula for a circle is C=πd where C is the circumference, d is the diameter of the circle and π is a constant. If you plug in 6 for C and solve the equation for d like:

6= πd and then divide both sides of the equation by π you get that d = 1.90

To find the central angle of an arc you would use the equation S = rθ where S is the length of the arc, r is the radius of the circle, and θ is the measure of the angle which in this case is unknown. So with S = 1 and r = d/2 = 1.90/2 = 0.9549 you would have an equation that looks like this:

1 = 0.9549θ

Answer 2

Answer:

60

Step-by-step explanation:

1/6 x 360

Central angle is equal to measure of intercepted arc.

60 degrees


Related Questions

1) The sum of the digits in a 2 digit number is 7. Reversing the digits increases the number by 9. What is the number?

Answers

Answer:

34

Step-by-step explanation:

Sum of two numbers = 7

1+6

2+5

3+4

34+9=43

3. What is the slope of a line that passes
through (0,-5) and (8,27)?

Answers

Answer:

4.

Step-by-step explanation:

Slope = difference in y coordinates / difference in the corresponding x coordinates

(27 - (-5)) / (8 - 0)

= 32 / 8

= 4.

Answer: Well, The entered points belong to an increasing, linear function.

Equation: y = 2.75x + 5.

You're key in this will be y=mx+b right?

Then you're M in y=mx+b is your slope. Therefore, if we take a look at our M in the slope we got,.....y = 2.75x + 5......it's-

2.75.

So you're slope is y= 2.75x      

I'm not that great at explaining but yeah, i tried lolz :3      

Brandon paid $70 for 20 gallons of
gasoline. How much did he pay per
gallon?

Answers

Answer:

$3.50

Step-by-step explanation:

For this question, you just take the price paid and divide it by the number of gallons.  In this case, you get $3.50 per gallon.

Graph the image of the figure using the transformation given

Answers

Answer:

See the explanation

Step-by-step explanation:

Please see the photo

how can you take 20% off of a normal price

Answers

Multiply original price by 0.8 to get the discounted price.

try to understand the example.

I used 20/100 since 20% is obviously 20/100 and I used ×1000 cus for 1000, you want 20%

hope it helps...!!!

How can the product of 0.8 and 2 be determined by using a number line?

Number line from 0 to 2 with tick marks at every tenth.

Enter your answers in the boxes.

Start at 0 and jump to
. From there, jump a distance of
to land on
, which is the product of the numbers.

Answers

I don’t know that sorry

Jack rides in a motorboat against a river current for 36 km. Then he returns to his starting point by floating down river on a raft.Tommy travels 9 hours less on the motorboat than on the raft. Find the speed of the river current if the speed of the motorboat in still water is 15 km/h.

Answers

The speed of the river current if the speed of the motorboat in still water is 15 km/h is 3 km/h.

Speed

Let x be the speed of the current in km/h units

Speed of the boat traveling against the current= (15-x) km/h

Time spent traveling 36 miles against the current=36/15-x hours

Time spent rafting36miles (with the current) =35/x hours

Equation=36/x-36/15-x=9

Multiply both sides by x×(15-x)

36×(15-x) - 36x = 9x×(15-x)

540 - 36x - 36x=135x-9x²

9x²-207x+540=0

x²-23x+60=0

(x-3)×(x-30) = 0

Roots are x= 3 and  x= 30

Since 15-x must be positive, the only root x = 3 survives

Hence:

Speed =3 km/h

Inconclusion the speed of the river current if the speed of the motorboat in still water is 15 km/h is 3 km/h.

Learn more about speed here:https://brainly.com/question/4931057

Q1. If you draw a triangle with angles that measure 25 degrees and 60 degrees, what will be the measure of the third angle?
Q2. If angle 1 and angle 2 are supplementary, and angle 1 measures 80 degrees, what is the measure of angle 2?

Answers

Answer:

Q1. 95 degrees  

Q2. 100 degrees

Step-by-step explanation:

When you create a triangle, all angle measures must equal 180 degrees.

So, using that information, take 180 and subtract both of the other values.

180 - 25 = 155

155 - 60 = 95

When two angles are supplementary, the sum of their angle measures equal 180, or a straight angle.

Using that information, take 180 and subtract 80.

180 - 80 = 100

Drag the measurements to the containers to show equal length.

Answers

The measurements that show equal length is 15 yd and 540 in, 195 ft and 2340 in, 5280 yd and 15840 ft

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

1 ft = 12 in; 1 yd = 3 ft and 1 yd = 36 in.

Hence:

15 yd = 15 yd * 36 in per yd = 540 in

195 ft = 195 ft * 12 in per ft = 2340 in

5280 yd = 5280 yd * 3 ft per yd = 15840 ft

The measurements that show equal length is 15 yd and 540 in, 195 ft and 2340 in, 5280 yd and 15840 ft

Find out more on equation at: https://brainly.com/question/2972832

PLEASE SOLVE PRETTY URGENT

Answers

If the two cylinders are similar, that means that the ratio between the diameter and the height will be the same in both solids.

In the bottom cylinder, we have a ratio of 3ft to 12ft. This is a ratio of 3:12, or 1:4, where the 1 is the height and 4 is the diameter.

The top cylinder has a height of 8 inches, meaning that the 8 corresponds to the 1 in the ratio. Thus, we can set up the equation like this:

[tex]\frac{1}{4} =\frac{8}{x}[/tex]

To get from 1 to 8, we have to multiply by 8. But because we don't want to change the ratio, we have to multiply the denominator by 8 as well:

[tex]\frac{1}{4}*\frac{8}{8}=\frac{8}{32}[/tex]

That means the top cylinder has a diameter of 32. But we can't forget our units. Because we used 8 inches in our ratio, that means the diameter is 32 inches.

NEED HELP NOW PLEASE!!! Will give Brainlyist points

Answers

It’s -1 the guy above me is right

find the distance between the follwing points: (-4,11), (3,5)

Answers

Answer:

43

Step-by-step explanation:

equation= sqrt (x2-x1)^2 + (y2-y1)^2

Brittany deposited $3,000 in a new account at her bank.

The bank pays 6% interest compounded annually.
Brittany makes no additional deposits or withdraws.
What will be the balance of the account at the end of 3 years? (Include Decimal with the cents; No Commas)

Answers

The total amount accrued, principal plus interest, with compound interest on a principal of $3,000.00 at a rate of 6% per year compounded 1 times per year over 3 years is $3,573.05.

Compound Interest

Given Data

Principal = $3000Rate = 6%Time = 3 years

A = P + I where

P (principal) = $3,000.00

I (interest) = $573.05

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 6/100

r = 0.06 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 3,000.00(1 + 0.06/1)^(1)(3)

A = 3,000.00(1 + 0.06)^(3)

A = $3,573.05

Learn more about compound interest here:

https://brainly.com/question/24924853

2m - 3 - 5= -m + 10 please help me

Answers

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: 2m - 3 - 5 = - m + 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2m + m = 10 + 3 + 5[/tex]

[tex]\qquad \sf  \dashrightarrow \: 3m = 18[/tex]

[tex]\qquad \sf  \dashrightarrow \: m = 18 \div 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: m = 6[/tex]

Hence, value of m is 6

Plss help i need this asap
(will give brainliest)
(this is not from a test)

Answers

Answer:

90

Step-by-step explanation:

im not sure but im pretty sure it would be 90 dont come at me if it not:(

Answer:

360°/3=120°

 which is the size of each exterior angle.

Step-by-step explanation:

An equilateral triangle has 3 lines of symmetry, but of more importance in this case, it has rotational symmetry of order 3. This means that in a rotation of 360° the same image appears 3 times.

360°/3=120°   which is the size of each exterior angle.

The triangle rotates through the exterior angle so that the next vertex can be in the same position as the previous one.

IN the same way, a square will rotate through 360/4=90°

A pentagon will rotate through 360/5=72°

for the figure to map onto itself.

Which system of equations

Answers

Answer:

The answer is J.

Step-by-step explanation:

Because y= 2x-3 as shown on the graph and on the chart it shows y=-x+3

6x4y how do I solve this?.

Answers

Answer:

24y

Step-by-step explanation:

Multiple 6x4 to get 24

and then put the y in to

get your answer

solution÷

6×4y

6×4y=0

multiply 6×4y

24y=0

now send 24 to the right side and divide

y=0÷24

therefore,y=0

how to work out 15% of £24

Answers

Answer:

3.6.

Step-by-step explanation:

15% = 15/100 = 0.15

so the answer is 0.15 * 24

= 3.6

Answer:

3.60

Step-by-step explanation:

Note:

Of = Multiply

15% can also be written as .15 as decimal

Solve:

.15 × 24 = 3.60

 Or we can solve like this:

[tex]\frac{24}{x}=\frac{100\%}{15\%}[/tex]

[tex]\frac{x}{24}=\frac{15}{100}[/tex]

[tex]\Rightarrow x=3.6[/tex]

Therefore, 15% of  £24 is 3.60

~Lenvy~

Part B.
Directions: Solve for the area of the triangle in each of the following problems.
10) 22 cm 21 cm
11) 16 m 15 m

Answers

Answer:

#10=462

#11=240

Step-by-step explanation:

22x21=462

16x15=240


Sunny made a deposit into an account that
earns 6% simple interest. After 7 years, Sunny
had earned $420. How much was his initial
deposit?

Answers

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$420\\ P=\textit{original amount deposited}\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &7 \end{cases} \\\\\\ 420 = (P)(0.06)(7)\implies \cfrac{420}{(0.06)(7)}=P\implies 1000=P[/tex]

Consider nick draws 3 cards from a pack of 52 cards. What is the probability of getting no kings?

Answers

It will be 48/52 because there are 4 kings so 52-4=48

The probability of getting no kings is 0.7826

What is the probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

The random experiment follows a hypergeometric distribution with,

N = 52 since there are 52 cards in a deck.

k = 4 since there are 4 kings in a deck.

n = 3 since we randomly select 3 cards from the deck.

x = 0 since we want no kings.

The probability of getting no kings is;

[tex]\rm = \dfrac{^4C_0 \times ^{48}C_3}{^{52}C_3}\\\\=\dfrac{1 \times 17296}{22100}\\\\= 0.78[/tex]

Hence, the probability of getting no kings is0.7826.

To know more about probability click the link given below.

brainly.com/question/11234923

answer and explanation !!
QUICK PLS

Answers

Answer:

Step-by-step explanation:

diameter = 6 in

r = 6/2 = 3 in

h = 8 in

[tex]\textbf{Area of cylinder = $2\pi r(r+h)$ }[/tex]

                              [tex]= 2*3.14*3*(3+8)\\\\= 2*3.14*3*11\\\\= 207.24 \ in^{2}[/tex]

                             

the above is is correct 207.24 in squared

PLEASe help!!! hurrry!!

Answers

Answer:

x is 6 degrees

Step-by-step explanation:

so its 90 degress, how do i know? because it is parrallel to the one with a half square (the 90 degrees) so we equal the angels to 90  because they are equal to 90 (sorry if it sounds confusing, if you want i can still explain more later)

7x + 8x = 90

15x = 90

x = 90/15

x = 6

Answer:

See Below.

Explanation:

Both the angles lie inside a right angle, whose total sum is 90 degrees.

Solve:

7(x) + 8(x) = 90°15(x) = 90°x = 6°

Each of the angle:

7(x) ⇒ 7(6) = 42°

8(x) ⇒ 8(6) = 48°

PLSS HELPP IMPORTANT
(WILL GIVE BRAINLIEST)!

Answers

I believe it is reflection across the Y-axis, followed by reflection across the X-axis.

Reflection is the mirror image of the shape across an axis.

Translation is the sliding down or up of the shape.

Answer:

c. It is a reflection around the x-axis and a reflection around the y-axis

Step-by-step explanation:

4+8÷2-2×3 what would we do first a 4+8 b8÷2 c2-2 d2×3​

Answers

Answer:

multiplication, so d, 2 x 3

Step-by-step explanation:

remember... PEMDAS!!

If QR=x+29 and PS=x–16, what is the value of x?

Answers

Answer:

61

Step-by-step explanation:

By the triangle midsegment theorem, 2(SP)=RQ.

So, 2(x-16)=x+29, meaning x=61.

4+6x=16 how to solve it

Answers

Answer:

Step-by-step explanation:

Remark

The first step is the key step. You have to get the xs on one side and the numbers on the other.

Solution

4 + 6x = 16                  Subtract 4 from both sides

4-4+6x = 16 - 4           Combine

6x = 12                        Divide both sides by 6. You want x by itself.

6x/6 = 12/6

Answer: x = 2

the answer is 2. you need to try and get x by itself subtract the 4 sticking onto it. What you do to one side you have to do to the other so now you have 6x=12 now that’s just saying 6 times X is 12 so divide 6 by 12 and your answer is 2

on a test given in math class 60 students arrive in take out their supplies. Of those students, 23 bring pens and 36 bring pencils. Only three students a ride with me neither. How many brought both a pen and a pencil

Answers

11 students brought both a pen and a pencil

59 students brought a pen or pencil or both
48 + 22 = 70
70-59 = 11
11 students brought both a pen and a pencil

-4 + 3y = 29
5x + y = -3
solve by substitution

Answers

Step-by-step explanation:

please mark me as brainlest

Answer:

y=11

x= -2.8

Step-by-step explanation:

y= -5x-3

-4+3 (-5x-3)=29

-4-15x-9=29

-4-9-29=15x

-42=15x

x= -2.8

y= -1 (5×-2.8)-3

=14-3

y=11

Find The Square Root Of
[tex] \frac{144}{169 } [/tex]

Answers

Hello!

[tex]===============================[/tex]

Let's find the square root of

[tex]\bold{\displaystyle\frac{144}{169}}[/tex]

So what number times itself equals [tex]\bf{\displaystyle\frac{144}{169}}[/tex]?

Take the square root of both the numerator (144) and the denominator (169)

[tex]\bold{\sqrt{\displaystyle\frac{144}{169} }}[/tex]

The square root of 144 is 12 (12 times itself equals 144), and the square root of 169 is 13 (13 times itself equals 169)

[tex]\bold{\displaystyle\frac{12}{13}}[/tex]

This number times itself equals [tex]\bf{\displaystyle\frac{144}{169}}[/tex].

[tex]==================================[/tex]

Notes:Hope everything is clear.Let me know if you have any questions!Enjoy your day!#KnowledgeIsPowerYou can easily find the square root of a number by entering the number you want to find the square root of and pressing the [tex]\sqrt{x}[/tex] button on your calculator, or just remembering the basic numbers, like "12×12 (12²=144) :-)

Answered by:

[tex]^\star^\bigstar^\circ\tt{An~Emotional~Helper!~:D}}^\circ^\bigstar[/tex]

Other Questions
Question 7(Multiple Choice Worth 1 points)(07.04 HC)Listen, read the question, and choose the option with the correct answer, based on the audio.II)0:06 10:191xBased on the audio, what will David likely do today for his trip?Module 7 lesson 4: A van can travel 18 miles on each gallon of gasoline. At that rate, how many miles can the van travel on 15 gallons of gasoline?33 miles83 miles120 miles270 miles A fish population of 250 in a pond has a maximum annual rate of increase of 0. 8. If the carrying capacity of the pond is 1,500 for this species, what is the expected population size after one year?. Which ordered pair is a solution of the inequality y < 3x + 1 A. (-3,2)B. (3,14)C. (1, -3)D. (1,6) What the weakness of DNA Extraction??Please help me Thank you the current value of an item is 300000 at tge beginning of the year ,of its value at the end of every year is of the value at the beginning of the year find its value after 5 years describe police brutatily and what it represent How does Vonnegut most clearly create irony in his story "HarrisonBergeron"?A. Diana Moon Glampers, a woman, holds a high governmentposition.B. George thinks of his son's arrest but doesn't recognize him on theTV screen.O C. Hazel cannot remember her son's death or why she has tears onher cheeks.O D. Harrison is accused of plotting to overthrow the government. Think about how acids and bases would affect the water quality in the two lakes. which set of ph data would you expect to see based on your observations? lake a: ph = 4.5; lake b: ph = 7.5 lake a: ph = 8.3; lake b: ph = 3.7 lake a: ph = 6.6; lake b: ph = 6.8 lake a: ph = 10.2; lake b: ph = 1.7 14. You deposit $500 in a savings account thatcarns 7% interest compouncted anually.A.) write a function that represents the balanceafter t yearsB.) What is the balance after 2 years? Which of the following do all organisms have in common? Find YZ and WZ in rectangle WXYZ. which fraction is larger: 3/10 or 2/7Plot on a number line i want your opinion Subconscious Means of or concerning the part of the mind of which one is not fully aware but which influences one's actions and feelings Like a dream. What is something that you do or did in your subconscious, that you would not normally do in your conscious mind? QUESTION 2 think about the article. why do some people think the weather bought people to Australia? A snack-size bag of pretzels contains 0.5 ounce. How many ounces of pretzels come in a bulk pack that contains 64 snack size bags. An arrow is shot vertically upward at a rate of 190 feet per second from ground level. Use the projectile formula h=16t2+v0t+h0h=-16t2+v0t+h0 to determine when the height of the arrow will be 471 feet. !!!WILL MARK BRAINLIEST!! 9-5 skills practice solving quadratic equations by completing the square 100 pointsCustomers of a phone company can choose between two service plans for long-distance calls. The first plan has a $28 monthly fee and charges an additional $0.15 for each minute of calls. The second plan has a $15 monthly fee and charges an additional $0.20 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?