An arc of a circle is 3πm long, and it subtends an angle of 72° at the center of the circle. Find the radius of the circle.

Answers

Answer 1

Answer:

7.5 m

Step-by-step explanation:

circumference = 360/72 × 3π = 15π

so the radius of the circle =

15π / 2π = 7.5 m


Related Questions

Which linear function has a y-intercept of -5?

Answers

Answer: Upper right corner (northeast corner)

x-3y = 15

===================================================

Explanation:

The y intercept always occurs when x = 0.

If we plug x = 0 into 2x+y = -10 (northwest corner), then we solve for y to get...

2x+y = -10

2(0)+y = -10

0+y = -10

y = -10

We see that the y intercept here is -10, but we want -5 instead. So we can rule this out.

In the northeast corner, plugging x = 0 leads to,

x-3y = 15

0-3y = 15

-3y = 15

y = 15/(-3)

y = -5

We get the correct y intercept we're after. So we can stop here.

If you plugged x = 0 into the equation of the southwest corner, you'll get y =  5 which is fairly close but not quite what we want. The southeast corner equation leads to a y intercept of y = 5 as well.

Answer:

x - 3y = 15

Step-by-step explanation:

x - 3y = 15

-3y = -x + 15

y = 1/3x - 5

-5 is the y-intercept.

hey! pls help i’ll give brainliest

Answers

Answer:

landslide

Step-by-step explanation:

Answer:

I believe that the answer might be the second one

Volcanic Eruption

A recipe for fruit punch is 3 parts orange juice to 2 parts apple juice. Jim mixes 180 ml of orange juice with 120 ml of apple juice.
Has Jim made the fruit punch correctly? Explain your answer.
PLEASE HELP ASAP

Answers

There you go. I explained in the picture hope it helps

Fine the area of a triangle with :base=7ft and height =5ft

Answers

Answer:

Step-by-step explanation:

7 x 5 = 35

35/2 = 17.5

[tex]17.5ft^{2}[/tex]

The area of the given triangle is 17.5 ft²

What is area?

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given a triangle with base=7ft and height =5ft

We know that area of a triangle = 1/2 × base × height

Therefore, the area of a triangle = 1/2 (7)(5) = 17.5 ft²

Hence, the area of the given triangle is 17.5 ft²

For more references on area, click;

https://brainly.com/question/27683633

#SPJ2

HELPPPPPPPPPPPP
ind the possibility that a random selected point within the circle falls in the red shaded area

Answers

Answer:

25cm

Step-by-step explanation:

one the possibility 36 - 11 =25 the answer is 25

find all the possible of x for which of the below is true:

[tex] \frac{2x}{x + 3} + \frac{3}{x - 3} = \frac{8}{x^{2} - 9 } [/tex]

Answers

Answer:

x = [tex]\frac{1}{2}[/tex] , x = 1

Step-by-step explanation:

Given

[tex]\frac{2x}{x+3}[/tex] + [tex]\frac{3}{x-3}[/tex] = [tex]\frac{8}{x^2-9}[/tex] ← denominator is a difference of squares

[tex]\frac{2x}{x+3}[/tex] + [tex]\frac{3}{x-3}[/tex] = [tex]\frac{8}{(x+3)(x-3)}[/tex]

Multiply through by (x + 3)(x - 3) to clear the fractions

2x(x - 3) + 3(x + 3) = 8 ← distribute left side and simplify

2x² - 6x + 3x + 9 = 8

2x² - 3x + 9 = 8 ( subtract 8 from both sides )

2x² - 3x + 1 = 0 ← in standard form

(2x - 1)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]

x - 1 = 0 ⇒ x = 1

What number is 48 out of 250%

Answers

Answer:

120

Step-by-step explanation:

reduce the fraction from

[tex]48 \times \frac{250}{100 } [/tex]

to

[tex]48 \times \frac{5}{2} [/tex]

then multiply and you get 24 × 5 which is 120

Does the following statement refer to a growth or fixed mindset? "I dont know how to do this yet."

Answers

GROWTH

growth because the statement is showing potential for improvement with a “yet” word
It’s a growth mindset because it’s says yet in the end. Hope this helped!

List these from least to greatest π2, 12, √80

Answers

Answer:

π2,√80,12

Step-by-step explanation:

π2= 6.28

√80= about 8

12=12

Hope I could help!

Fast problem! Please help

Answers

Answer:

D. 122 degrees

Step-by-step explanation:

The angle next to the 133 degree angle is equal to 47 degrees because they are linear pairs. (Linear pairs will always add up to 180 degrees).

The angle below the 75 degree angle is equal to 75 degrees because they are vertical angles. (Vertical angles will always be equal to each other).

Then by using the Triangle Exterior Angle Theorem. Your missing angle is equal to 47 degrees + 75 degrees = 122 degrees.

Please help I’ll make you Brainiest (please no link people)

Answers

the answer is c, I could explain if you would like.

write three rational numbers between 1. -1 and 1 2. -4 and-3​

Answers

Answer:

1. -1/2 1/2 1/4

2. -3.5 -3.6 -3.7

3. -1/10 -1/11 -1/12

hope this helps

have a good day :)

Step-by-step explanation:

[tex]2h-3\ \textgreater \ 15[/tex]

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{2h - 3 }\mathsf{>}\large\textsf{ 15}[/tex]

[tex]\large\text{ADD 3 to BOTH SIDES}[/tex]

[tex]\large\textsf{2h - 3 + 3 }>\large\textsf{ 15 + 3}[/tex]

[tex]\large\text{CANCEL out: \textsf{-3 + 3} because that gives you 0}[/tex]

[tex]\large\text{KEEP: \textsf{15 + 3} because it helps you solve for your h-value}[/tex]

[tex]\large\textsf{15 + 3 = \boxed{\large\textsf{\bf 18}}}[/tex]

[tex]\large\text{NEW EQUATION: \textsf{2h} }\mathsf{>}\large\textsf{ 18}[/tex]

[tex]\large\text{DIVIDE 2 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{2h}{2}>\dfrac{18}{2}}[/tex]

[tex]\large\text{CANCEL out: }\mathsf{\dfrac{2}{2}}\large\text{ because it gives you 1}[/tex]

[tex]\large\text{KEEP: }\mathsf{\dfrac{18}{2}}\large\text{ because it gives you your h-value is being compared to}[/tex]

[tex]\large\text{NEW EQUATION: }\mathsf{h > \dfrac{18}{2}}[/tex]

[tex]\mathsf{\dfrac{18}{2}}[/tex]

[tex]\mathsf{= 18\div 2}[/tex]

[tex]=\boxed{\mathsf{\large\textsf {\bf 9}}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf h > 9}}}\huge\checkmark\\\\\boxed{\boxed{\rm \bf It\ it\ an\ O P E N E D\ circle\ shaded}}\\\boxed{\boxed{\rm \bf to\ the\ right\ starting\ at\ point\ 9}}\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Problem:

[tex] \quad \quad \quad \quad\tt{2h - 3 > 15}[/tex]

Let's solve!

[tex] \quad \quad \quad \quad\tt{2h - 3 > 15}[/tex]

Add both sides by 3.

[tex] \quad \quad \quad \quad\tt{2h - 3 + 3 > 15 + 3}[/tex]

[tex]\quad \quad \quad \quad\tt{2h \: \: \cancel{ \color{red}- 3 + 3} \: > 15 + 3}[/tex]

[tex]\quad \quad \quad \quad\tt{2h > 18}[/tex]

Divide it by 2.

[tex]\quad \quad \quad \quad\tt{ \frac{2h}{2} > \frac{18}{2} }[/tex]

[tex]\quad \quad \quad \quad\tt{ \frac{ \cancel{ \color{red}2}h}{ \cancel{ \color{red}2}} > \frac{18}{2} }[/tex]

[tex]\quad \quad \quad \quad\tt{ h > \frac{18}{2} }[/tex]

[tex]\quad \quad \quad \quad\tt{ h > 9}[/tex]

Hence the answer is:

[tex]\quad \quad \quad \quad \boxed{\tt { \color{green}h > 9}}[/tex]

________

#LetsStudy


Find the circumference of the given circle.
Use 3.14 as an approximation of Pi.

Answers

Answer:

Step-by-step explanation:

circumference=2*pie*r

=2*3.14*7

=43.96 in.

Answer:  43.96 inches (choice B)

========================================================

Work Shown:

C = 2*pi*r

C = 2*3.14*7

C = 43.96 inches is the approximate circumference, aka the distance around the circle.

Use more decimal digits in pi to get a more accurate circumference.

I NEED HELP RIGHT NOW!!PLEASE!! π∆π ¶×¶

Find the RATIO and the EXACT VALUE of the given Cot A.​

Answers

A right angled triangle with its side length is given. The sides of the triangle are 12ft , 13ft and 5ft. And we need to find out the value of cot A .

Here :-

Base = 12 ft .Perpendicular = 5ft. Hypotenuse = 13ft.

We know :-

[tex]\tt\implies cot \theta = base / perpendicular [/tex]

Substitute the respective values :-

[tex]\tt\implies cot \theta = base / perpendicular\\\\\tt\implies\boxed{\red{\tt cot A = 12/5 }}[/tex]

Hence the required answer is 12/5.

Ted left at 8:00 a.m to walk to the dog park. It took him 30 minutes to get there.

what time did ted get to the dog park?

Answers

Answer:

8:30 am

Step-by-step explanation:

Answer:

8:30 a.m

Step-by-step explanation:

8:00

+ 30

_____

8:30 a.m

please reply within 10 minutes​

Answers

Answer:

H

Step-by-step explanation:

For F  - Median For Class 1 is 52.5 Median for Class 2 is 75 ( False )

For G - Range for class 2 is 75 Range for class 1 is 45.9 ( False )

For H - IQR for class 1 is 30.45 IQR for class 2 is 60 ( True )

For J - Minimum for Class 2 is 30 Minimum for Class 1 is 30 ( False )

A mechanic began pouring a full can of motor oil into a funnel. The can of motor oil has a radius of 2.5 inches and a
height of 6 inches. The funnel has a radius of 3 inches and a height of 5.5 inches. If the hole on the bottom of the
funnel is plugged so that the funnel is not able to drain, what percentage of the oil would remain in the can after the
funnel is completely filled?

Answers

ANSWER =56%

HOPE IT HELPED

NEED HELP RIGHT NOW PLZ!!!!!!!!!!!!Two candidates, Joe Smith and Maria Jones run for office in a local election. In all, 12,402 votes are cast and the ratio of votes for Joe Smith to Maria Jones was 4:5. How many votes did they each get?

Answers

Answer:

Joe 5512

Maria 6890

Step-by-step explanation:

Joe  : Maria  : total

4           5         9

We have a total of 12402

Divide this by 9

12402/9 =1378

Multiply each number by 1378

Joe  :          Maria             : total

4*1378           5*1378         9*1378

5512                6890              12402

For a new year's party 911 red balloons, 910 green balloons and 915 white balloons were used What is the total number of balloons used?​

Answers

the total balloon are used is 2736

My number 4752512944

Answers

Answer:

no thanks for your number

Step-by-step explanation:

Have a great day

Simplify the following polynomial and write the answer in standard form

Answers

Answer:

D

Step-by-step explanation:

We have to added up the like therms (the therms with the same literal parts)

x^2 + 2x^2 = 3x^2

3x - 4x = -x

2 + 1 = 3

3x^2 - x + 3

Answer:

D

Step-by-step explanation:

Edge 2022

Please help!!!!!!
if

Answers

Answer:

if what

Step-by-step explanation:

if we dare or if we must

Answer:

If what?

Step-by-step explanokation:

So, I don't understand what the question is here. Please elaborate.

5 pleaseeee help me out ill mark you brainlist
I'm on the verge of failing smh

Answers

Answer:

D) y = -4/3x + 5

Step-by-step explanation:

Can be checked with a calculator or by replacing the variables into the equation.

solve this system of equations
y=x-4
y=6x-10

Answers

Step-by-step explanation:

put 6x-10 in y=x-4

so

y = (6x-10) - 4

y = 6x-14

point form: (6/5, -14/5)

equation form: x=6/5 y= -14/5

to solve, set the equations equal to each other so it’s x-4=6x-10 which gives you x

then plug x into one of the equations so y=6/5-4 which gives you y=-14/5

hope this helps!

How many solutions does the system of equations below have?
y=3x+4
y+6x=3x

Answers

Answer:

x = -[tex]\frac{2}{3}[/tex]

y = 2

Step-by-step explanation:

The process of elimination is a method of solving a system of equations. One must first manipulate one of the equations such that one of the variables shared between the two equations has the inverse coefficient of the same variable in the other equation. Therefore, when one adds the equations, the variable cancels. One can solve for the variable using inverse operations, and then backsolve to find the value of the first variable.

When given the following system:

y = 3x + 4

y + 6x = 3x

Use inverse operations so that both equations are solve for one variable,

y = 3x + 4

y = -3x

Add the systems so that one of the variables (x) cancels, this process is called the process of elimination;

y = 3x + 4

y = -3x

_________

2y = 4

Inverse operations,

2y = 4

y = 2

Now backsolve, find the value of (x) by substituting the value of (y) into the equation:

y = -3x

2 = -3x

x = -[tex]\frac{2}{3}[/tex]

Answer: No solution.

Step-by-step explanation:

A bag contains 3 yellow marbles and 6 blue marbles. You randomly select two marbles from the bag. What is the probability that both marbles are
yellow when you do not replace each marble before selecting the next marble? Write your answer as a decimal rounded to three decimal places.

Answers

1/12

explanation- the first draw the probability is 3/9 or 1/3 and the second draw would be either 2/8 or 3/8 depending on the first marble color. but the likely hood of two yellow marbles in a row would be 6/72 chances or 1/12.

During which time interval is the squirrel traveling at the fastest speed?


1–2 min

2–3 min

5–6 min

8–9 min

Answers

I think that the answer is 8-9min

Please help me with this one??

Answers

Answer:

Y =-25x +225

Step-by-step explanation:

First you can count the gradient first. Use then you can count y intercept

Angel saved $100 a week for a year. She spent 40%
of her savings on a new bed. How much did she
spend on the bed?

Answers

Answer:

40 because 40 percent of 100 is 40. You can just multiply the number by the percentage $100x40%

Other Questions
In a population of mice, there are two alleles of the A locus (A1 and A2). Tests showed that, in this population, there are 384 mice of genotype A1/A1, 210 of A1/A2, and 260 of A2/A2. What are the frequencies of the two alleles in the population Por qu escribimos el dios Zeus (Con minscula al inicio de la palabra dios) y no Dios Zeus?y. Por qu en cambio a nuestro Dios, si lo hacemos con mayscula? If the following picture below was rotated about the y-axis, what 3-D shape would it make? ( HELP PLEASEE ) hey! ill give brainliest pls help. Sino ang tumayong Gobernor-Heneral ng kolonya noong Oktubre 6, 1762 na namuno laban sa pananakop ng British sa Maynila Arsobispo? 17. What does the land look like 320,000,000 years ago?| Work out the size of the angle marked X.Give your answer correct to 1 decimal place. Which of the following is true regarding Christian Fundamentalism? a. It was a movement only within the Baptists church, which was popular in the so-called Bible Belt. b. It began with the Puritans in Massachusetts and there has been continuity within the movement ever since. c. It began in the 1910s with a collection of essays known as The Fundamentals and emphasized a literal interpretation of the Bible. d. All of the above. 5. A construction area has 6 cylindrical posts protecting theequipment. They are filled with sand to reinforce them. If eachcylinder is 4 feet tall and has a diameter of 1 foot, how much sandwas needed to fill the cylinders?Record your answer and fill in the bubbles on your answer. (If its wrong or random you will be reported)document. Be sure to use the correct place value. Consider a triangle A BC like the one below. Suppose that A = 100, b =51, and c= 45. (The figure is not drawn to scale.) Solve the triangle. Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth. If there is more than one solution, use the button labeled "or". Please help me I need to finish Compare the following well-formed translations with grammatically incorrect sentences (indicated with an asterisk at the beginning) and note any patterns you recognize: If riots are assumed to involve irrational behavior, how and why should that assumption affect perceptions of a particular riot and its possible consequences for public policy? Olivia bought a notebook for $12.50 and 9 pens. If her total was $43.73, howmuch was each pen?Help quick pls Mi hermana odi_________A. abaB. a los vegetales. PLEASE ANSWER I GIVE BRAINLIEST AND MAX POINTS As of Dec. 31, 2013, a company had current assets of $600,000 and current liabilities of $300,000. Sales of the company are expected to increase by 10 percent for each of the next two years. If all current assets and current liability accounts increase proportionately with sales, what would be the projected current ratio of the company on Dec. 31, 2015 Jemma wants to solve the following system using the elimination method:y = x 6y = 6x 19What number should the equation y = x 6 be multiplied by to eliminate x? 1 2 4 6 Simplify the expression and write any restrictions. Identify the following solid figure.hexagonal prismpentagonal prismrectangular prismtriangular prismQUICK PLEASE!!