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 description represents the equation 7x - 2 = 33?

1. Two less than seven times a number equals thirty-three.
2. Two times the quantity of seven less than a number equals thirty-three.
3. Seven less than two times a number equals thirty-three.
4. Seven times two minus a number equals thirty-three.

Answers

i’m pretty sure it would be 1. two less than seven times a number equals thirty-three

Hi there!  

»»————- ★ ————-««

I believe your answer is:

"1. Two less than seven times a number equals thirty-three."

»»————- ★ ————-««  

Here’s why:  

We are given the equation of  [tex]\boxed{7x-2=33}[/tex].

⸻⸻⸻⸻

[tex]\boxed{\text{Breaking the equation down:}}\\\\7x-2=33\\-------\\\rightarrow \text{'7x' - Seven times a number. The unknown value is 'x'.}\\\\\rightarrow \text{' - 2' - Minus 2.}\\\\\rightarrow \text{'= 33' - Equals 33.}\\---------\\\text{The phrase "'X' less than 'Y'" indicates:}\\\\Y - X \\---------\\\text{Two less than 7 times a number would be:}\\\\\boxed{7x - 2}[/tex]

⸻⸻⸻⸻

The first statement should be the appropriate statement for the given equation.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Options
26%
40%
90%
50%

Answers

Answer:

not so sure but i guess its 50%... i am so sorry if it is wrong..if it is wrong dont forget to tell me the right answer(:

Who could help me please and thank you

Answers

To write the equation of a line in slope-intercept form, there are two things we need: the y-intercept and the slope.

To find the y-intercept using a graph is relatively easy. We are looking to see where the line crosses the y-axis. In this case, that is at the point (0,4).

To find the slope, we need to first find two points that are on the line. I will be using the points (0,4) and (2,5), though you can use any two that you would like. Then, we'll need to use the slope formula (y2 - y1 / x2 - x1).

(5 - 4) / (2 - 0)

1 / 2 = slope

Now that we have the slope and y-intercept, we can simply plug those values into slope intercept form, y = mx + b, where m is the slope and b is the y-intercept.

Therefore, our equation of the line in fully simplified slope-intercept form is y = 1/2 x + 4.

Hope this helps!! :)

Answer:

y = 1/2x + 4

Step-by-step explanation:

Slope-intercept form is: y = mx + b

The slope is 1/2 (mx)

Up 1, Over 2, which is the space between each dot.

The y-intercept is 4 (b)

The point where the line crosses the y-axis.

y = 1/2x + 4

Hope this is correct for you!

simplify (2 3/5-1 2/3)×5/8​

Answers

Answer & Step-by-step explanation:

Simplify the expression.

Exact Form:

7/12

Decimal Form:

0.583

Hope this Helps!!! :)

If you have any questions contact me in the comment section below!

I had 150 pencils at the start of the year. I now only have 120 pencils. What
is the percent of change in the number of pencils? *

* 20 % increase
* 25 % increase
* 20 % decrease
* 25 % decrease

Answers

20% decrease Z z. Z xx. X

I need the answer Immediately before it’s due!!!!!!!!

Answers

y = -1/2x - 1
——————-

At the farmers market, you can buy 3 jars of honey for $12,6 jars of honey for $24,or 9 jars of honey for $36.what is the constant of proportionality for buying jars of honey ?

Answers

Answer:

12

Step-by-step explanation:

I need help with these

Answers

it can be written as (15+2)x

please help! I need to solve kt algebraically and if you can show your work/explain how you got the answer that would help a ton because I need that to!

Answers

Step-by-step

=> 900=-100x+300

=> -100x+300=900

=> -100x=900–300

=> -100x=600 divide both side by -100

=> x=-6

You start with  900= -100x + 300

you want to get x by itself on a side of the equation

you can do this by adding -100x to both sides of the equation

this would make it look like 900 + 100x = -100x + 100x + 300

if you simplify, you get 900 + 100x = 300

then subtract 900 on both sides to get x by itself

you will end up with 100x = -600

you divide both sides by 100 to get x by itself and you will end up with

x = -6

if you have any questions ask me and ill answer :)

given the figure below find the value of x and z

Answers

Answer: X is do it yourself and y is do it yourself X is do it yourself and y is do it yourself

Step-by-step explanation:

Lolol

(NR) Natural Resources:Question 10
Which statement best describes why large aquifers of groundwater are distributed unevenly
around the earth?

Answers

Answer: D) Groundwater collects only where the soil and geological features allow water to seep down into underground chambers.

In other words, as long as there are gaps to allow water through, then that would lead to underground aquifers. Another important component is the amount of rain water that happens. Sources such as rivers, lakes and streams are also a contributing factor.

Stuff like earthquakes, volcanic activity, and continental movement doesn't really have much an effect on where or how aquifers form. It's really all about the soil type and how the landscape is formed, and of course the other factors mentioned in the previous paragraph.

HELLPPPPPPPP I NEED THIS AMSWER IN LESS THEN 2 mins

Answers

Answer:

x = 15

m<RQP = 33degrees

Step-by-step explanation:

From the given diagram, m<P = 90degrees

Equating this to 5x+15

5x+15 = 90

5x = 90 - 15

5x = 75

x = 75/5

x = 15

m<RQP = 2x+3

m<RQP = 2(15) + 3

m<RQP = 30 + 3

m<RQP = 33degrees

which choice is equivalent to the quotient below? √64/√16

Answers

Answer:

[tex] \frac{ \sqrt{64} }{ \sqrt{16} } \\ = \frac{8}{4} \\ = 2[/tex]

The cost to rent a bicycle is $20.00 plus $2.65 per hour that the bicycle is checked out. What is the minimum number of hours a bicycle can be rented if a tourist can spend more than $37.00 but less than $65.00 on the rental? Round your answer to the nearest whole hour that satisfies the inequality.

Answers

Answer:

7 hours

Step-by-step explanation:

Rental cost :

Fixed pay = $20

Hourly cost = 2.65

To obtain the minimum rental hour, we work with the least amount that can be spent ;

For tourist that can spend more than $37 but less than $65

Total cost of rental :

20 + 2.65h ; h = number of hours

When total cost > 37

20 + 2.65h > 37

2.65h > 37 - 20

2.65h > 17

h > 6.415

Hence, the minimum whole hour of bicycke rental is 7 hours

I need help with part d

Answers

Answer:

i think its dart.

A concave kite is sometimes referred as a dart or arrowhead.

Step-by-step explanation:

Answer:

The name of the shape is Concave Quadrilateral.

Step-by-step explanation:

Which number is equivalent to 2^3x = 10

Answers

Answer:

5/4

Step-by-step explanation:

see steps below:)

please show your work

Answers

Answer:

B) 40

Step-by-step explanation:

Angle X and the missing angle inside the triangle are equal as the are opposite angles.

Therefore,

180 - 65 - 75 = 40

HELP ASAP TEST IS ONLY 45 MINUTES
Solve the inequality. x – 3 < -2
a) x > 1
b) x < 1
c) x > 1
d) x < 1

Answers

Answer:

x<1 [the answer is positive, not negative btw]

I think you forgot to put the negative sign for two of the answer choices..

Step-by-step explanation:

answer is x<1

Step-by-step explanation:

x is less than 1

An isosceles triangle has an angle that measures 40°. Which other angles could be in that isosceles triangle? Choose all that apply. 70, 100,80,40

Answers

Given:

An isosceles triangle has an angle that measures 40°.

To find:

The other possible angles of the triangle.

Solution:

Case 1: 40° is the measure of base angle of isosceles triangle.

Then, the other base angle is 40°.

Let x be the measure of third angle.

The sum of all interior angles of a triangle is 180 degrees. So,

[tex]x+40^\circ+40^\circ=180^\circ[/tex]

[tex]x=180^\circ-40^\circ-40^\circ[/tex]

[tex]x=100^\circ[/tex]

So, the possible angles are 40° and 100°.

Case 2: 40° is the measure of vertical angle of isosceles triangle.

Let y be the measure of base angles, then

[tex]y+y+40^\circ=180^\circ[/tex]

[tex]2y=180^\circ -40^\circ[/tex]

[tex]y=\dfrac{140^\circ}{2}[/tex]

[tex]y=70^\circ [/tex]

So, the possible angles are 40° and 70°.

Therefore, the correct options are A, B and D.

Expand.
Your answer should be a polynomial in standard form
−5q 2 (−q−5)

Answers

Answer:

(i think)

5q3+25q2

Step-by-step explanation:

To write a polynomial in standard form, simplify and then arrange the terms in descending order.a

x2+bx+c

5⋅1(q2q)+25q2

Simplify each term

answer- 5q3+25q2

Matthew has 3 1/4 gallons of lemonade. He sells 4/8 of the lemonade. How many gallons of lemonade does Matthew have left?

Answers

Answer:

He would have 11/4 gallons of lemonade or 2 3/4

Step-by-step explanation:

25 POINTS!!!!!!
ANSWER THE QUESTION BELOW

Explain how decisions are a combination of theoretical, experimental, and subjective probability

Answers

Answer:

Decisions help know what you believe in and in what you trust. It also expirements many new things. Some decisions end up being good one and correct ones.

Need help please and thanks :)

Answers

Answer:

See below.

Step-by-step explanation:

30 + 15c = 10 + 20c

15c - 20c = 10 - 30

-5c = -20

c = 4

When they both catch 4 criminals, they earn the same amount of money.

Solve for x Show your work

Answers

Answer:

x = 12

Step-by-step explanation:

To solve this and show your work, you have to start of with the equation (3x - 6) = 30.

You then have to add 6 to both sides like this:

[tex](3x - 6) = 30 \\ \: \: \: \: \: \: \: \: \: \: + 6 \: \: \: \: \: + 6 [/tex]

So then the 6 is cancelled out, and you are left with

3x = 36.

Now you just have to divide both sides by 3 like this:

[tex] \frac{3x}{3} = \frac{36}{3} [/tex]

Which cancels 3 out, and you are left with

x = 12.

Ethan and Sam work at different department stores. Ethan is paid 125$ per week and an 8% commission on sales, while Sam is paid 200$ per week and a 6% commission on sales. Enter the amount in dollars of sales for which they earn the same weekly income

Answers

Answer:

3750$

Step-by-step explanation:

Let x be the amount in dollars of sales:

125 + 0.08x = 200 + 0.06x (when Ethan and Sam earn the same weekly income)

0.02x = 75

x = 3750

can some help me with this

(you can pick more than one for each column)

Answers

Answer:

no no nlnnlnl

Step-by-step explanation:

no sorryyy

i need a picture so i can get it right

Help I suck at math

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

We can use this formula to find the equation of the line

(y-y1)/(y2-y1) = (x-x1)/(x2-x1)

(y - 11)/(23-11) = (x-1)/(3-1)

(y-11)/12 = (x-1)/2

y-11 = 6x-6

y = 6x + 5

the rate of change is the slope of the line, while the constant (5) is the y intercept

A table of values of a linear function is shown below.


Find the slope and y-intercept of the function's graph, and find the equation for the function.

Answers

slope: -3
y-intercept: (0,-7)

Solve the system of equations.

Answers

Answer:

x = 2, y = 1

Step-by-step explanation:

x + 3y = 5

3y = -x + 5

y = -1/3x + 5/3

-x + 6y = 4

-x + 6(-1/3x + 5/3) = 4

-x - 2x + 10 = 4

-3x = -6

x = 2

x + 3y = 5

2 + 3y = 5

3y = 3

y = 1


[tex]5x + 11(7x - 3[/tex]

Answers

[tex]82x - 33[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]5x + 11(7x - 3) \\ = 5x + 77x - 33 \\ = 82x - 33[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

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