An arc of length 12:57 cm
angle of 60° at the cen me
find the radius or the circle.
subrends an.
or a cordle.

Answers

Answer 1

Answer:

r ≈ 12 cm

Step-by-step explanation:

arc length = circumference × fraction of circle, that is

2πr ×[tex]\frac{60}{360}[/tex] = 12.57 ( multiply both sides by 360 to clear the fraction )

2πr × 60 = 4525.2

120πr = 4525.2 ( divide both sides by 120π )

r = [tex]\frac{4525.2}{120\pi }[/tex] ≈ 12 cm


Related Questions

Given quadrilateral ABCD, where the diagonals AC and BD intersect at point E. AE≅EC and BE≅DE Can you prove can you prove that the figure is a parallelogram? Explain. A. Yes; two opposite sides are both parallel and congruent. B. Yes; diagonals of a parallelogram bisect each other. C. Yes; opposite sides are congruent. D. No; you cannot determine that the quadrilateral is a parallelogram.

Answers

Answer:

B. Yes; diagonals of a parallelogram bisect each other.

Step-by-step explanation:

The diagonals of a parallelogram bisect each other. If the diagonals of a quadrilateral bisect each other, the quadrilateral is a parallelogram.

Answer: B. Yes; diagonals of a parallelogram bisect each other.

If AE=EC and BE=DE then quadrilateral ABCD is a parallelogram because  diagonals of parallelogram bisect each other.

What is parallelogram?

A parallelogram is a 2 dimensional figure whose opposite sides are equal to each other and parallel to each other. Area of parallelogram is base*height.

How to prove quadrilateral a parallelogram?

To be parallelogram ΔAEB and ΔEDC should be congruent.

Angle AEB= Angle DEC

AE=EC

DE=EB

so both triangles are congruent by side, side, angle.

Similarly AE=EC , DE=EB and vertical angles AED= Vertical angle BEC.

Therefore triangle AED and BEC are congruent and that makes all their corresponding sides are also congruent.

And AB=DC.

Hence both pairs of opposite sides of a quadrilateral are congruent ,then the quadrilateral is a parallelogram.

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A class sold tickets to their school play. Each of the 232323 students in the class sold 444 tickets. The cost of each ticket was \$7$7dollar sign, 7. How much money did the class earn by selling tickets to the play?

Answers

Answer:

722059884 if there are 232323 students

if there are 23 students its 71484

Step-by-step explanation:

hope this helps

Answer: The answer is 644

Step-by-step explanation:

23x4x7=644

Jason is traveling by car from his home to his office. He has gone 3.5 miles so far. From this point on, he can cover 100 miles every 2 hours. What is the equation of a line that models the total miles traveled, y, in x hours after this point? A.

Answers

Answer: y=50x+3.5

Step-by-step explanation:

50 because that is how many mph

3.5 because he already drove that amount

Answer:

y=50x+3.5

Step-by-step explanation:

In the expression 3v - 8, what is the variable a= V b= - c= 3 d= 8

Answers

Answer:

a. v

Step-by-step explanation:

Given

[tex]3v - 8[/tex]

Required

Identify the variable

Literary, variable means things that change in values;

Going by this definition, we have that:

3 -> This is not a variable because its value will always be 3

v -> This is a variable because its value can change once its value changes, the result of the expression will also change

- -> This is not a variable; it is an arithmetic operator to subtract

8 -> This is not a variable because its value will always be 8

Take for instance

[tex]v = 2[/tex]

[tex]3v - 8 = 3 * 2 - 8 = 6 - 8 = -2[/tex]

When [tex]v =5[/tex]

[tex]3v - 8 = 3 * 5 - 8 = 15 - 8 = 7[/tex]

Notice that there's a difference in both results;

This is as a result of v being a variable

Helpp pleasee asap!!

Answers

Answer:

114,112,coA,ce 58,124,DFA,EOB

PLESSE HELP THANKS SO MUCH

Answers

Answer:

b is ur answer mate ....

Helpppp pleaseeeeee!!!

Answers

Answer: yes.

Step-by-step explanation:

Answer: Yes

The roll of the dice is a random process that Jon has no control over (this is assuming the dice is fair of course). Whoever is selected first is not selected again, so the probability for the second selection will increase as there is a smaller pool of people to pick from.

What will be the effect on the graph of y = |x| if x is replaced with -x?
A. a vertical shift
B. no change
C. a reflection over the x-axis
D. a horizontal shift of 1 unit to the left

Answers

The vertical lines on each side of the x mean it is the absolute value of x.

Replacing x with -x would make no change on the graph, because the absolute value is always a positive number.

The answer is B.

There will be no change on the graph of y = |x| if x is replaced with -x. Option B is correct.


What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The vertical lines on each side of the x mean it is the absolute value of x. Replacing x with -x would make no change on the graph because the absolute value is always a positive number.

Therefore, there will be no change on the graph of y = |x| if x is replaced with -x. Option B is correct.

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Nina is training for a marathon. She can run 4 1/2​ kilometers in 1/3​ of an hour. At this pace, how many kilometers can Nina run in 1 hour?

Answers

Answer:

Nina can run:

13 1/2 km in 1 hour

Step-by-step explanation:

4 1/2 = 4 + 1/2 = 8/2 + 1/2 = 9/2

proportions:

9/2 hours ⇔  1/3 hour

N hours ⇔ 1 hour

N = (9/2)*1 / (1/3)

N = (9/2) / (1/3)

N = (9*3) / (2*1)

N = 27/2

27/2 = 26/2 + 1/2 = 13 + 1/2 = 13 1/2

Nina can run:

13 1/2 km/h

13 1/2 km in 1 hour

Nina can run [tex]13\frac{1}{2}[/tex] km in an hour

The distance Nina can run in an hour can be determined by dividing the distance she can run in 1/3 of an hour by 1/3

Distance Nina can run in an hour = distance run ÷ [tex]\frac{1}{3}[/tex]

[tex]4\frac{1}{2}[/tex] ÷ [tex]\frac{1}{3}[/tex]

Convert the mixed fraction to an improper fraction [tex]\frac{9}{2}[/tex] × 3 = [tex]\frac{27}{2}[/tex]

Convert the improper fraction back to an mixed fraction = [tex]13\frac{1}{2}[/tex] km

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I WILL MAKE BRIANLIEST PERSON BRIANLY. HAALP!!!!!

Answers

Answer:

she did not randomly select enough students

Step-by-step explanation:

there is too much of an area for mistakes in this experiment as the teacher could unknowingly have a bias in terms of choosing a female student.

Please answer this question now

Answers

Answer:

112°

Step-by-step explanation:

By inscribed angle theorem:

[tex] m\widehat {BCD} = 2\times m\angle BAD\\

\therefore m\widehat {BCD} = 2\times 129\degree \\

\therefore m\widehat {BCD} = 258\degree\\\\

\because m\widehat{CD} = m\widehat {BCD}-m\widehat{BC} \\

\therefore m\widehat{CD} = 258\degree - 146\degree \\

\huge \red {\boxed {\therefore m\widehat{CD} = 112\degree}} [/tex]

Find the edge length of a cube if the surface area is 565.7 m².
0 9.71 m
9.48 m
0 10.31 m
10.97 m
None of the above

Answers

Answer:

9.71 m

Step-by-step explanation:

Surface area of cube is given by 6a^2 where a is the edge length.

Given

Surface area  =565.7 m²

let a be the edge length of required cube

then

6a^2 = 565.7 m²

=> a^2 = 565.7 /6 m² = 94.28

=> a = [tex]\sqrt{94.28}[/tex] = 9.71

Thus, first option  9.71 m is correct choice.

What is the factored form of 125x6 – 8?

Answers

Answer:

Step-by-step explanation:

125 = 5 *5 * 5 = 5³

8 = 2 * 2 *2 = 2³

125x⁶ - 8 = 5³(x²)³ - 2³

               = (5x²)³ - 2³     { a³ - b³ = (a -b)(a² + ab + b²)

               = (5x² - 2) ([5x²]² + 5x²*2 + 2²)

                 = (5x² - 2)(25x⁴ + 10x² + 4)

Hint: (5x²)² = 5² * (x²)² = 25* x²ˣ² = 25x⁴

3(q−7)=27 need help plzz 1st peep gets brainlest

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

q = 16

▹ Step-by-Step Explanation

3(q - 7) = 27

3q - 21 = 27

Add 21 to both sides:

21 + 21 = na

27 + 21 = 48

3q = 48

Divide both sides by 3:

3/3 = q

48/3 = 16

q = 16

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

q=16

Step-by-step explanation:

3q-21=27

27+21=48

48/3=16

It is 8th grade math please get it right. My Dad gave this to me

Answers

Answer:

A=535.93

Step-by-step explanation:

A=P(1+r)^t

A=500[(1+0.07/4)]^4

A=535.93

State whether the given measurements determine zero, one, or two triangles. A = 58°, a = 25, b = 28

Answers

Answer:

1

Step-by-step explanation:

I believe it is 1. Just picture or draw a diagram of the constraints. Don't quote me on this though...

Answer:

Step-by-step explanation:

apply sine formula

[tex]\frac{a}{sin ~A} =\frac{b}{sin~B} \\\frac{25}{sin~58} =\frac{28}{sin ~B} \\sin~B=\frac{28}{25} \times sin~58\\B=sin^{-1} (\frac{28}{25} \times sin ~58)=71.77 \approx 72 ^\circ[/tex]

so third angle=180-(58+72)=180-130=50°

∠C=50°

[tex]cos ~C=\frac{a^2+b^2-c^2}{2ab} \\or ~2abcos~C=a^2+b^2-c^2\\2*25*28*cos ~50=25^2+28^2-c^2\\c^2=625+784-1400 *cos~50\\c^2=1409-899.90\\c^2=509.1\\c=\sqrt{509.1} \approx 22.56 \approx 22.6[/tex]

so one triangle is formed.

Divide a 7-inch line into three parts so that each part is 1 inch longer than one before it.

Answers

Answer:

Hey there!

We can write an equation:

x+x+1+x+2=7

3x+3=7

3x+4

x=4/3

The lines are 4/3, 7/3, and 10/3.

Let me know if this helps :)

use order operation

Answers

Answer:

The correct answer is the final option, 2.

Step-by-step explanation:

[(16+4) - 10] - 8

Our first step in this problem, according to the order of operations, is to simplify what is inside the parentheses.  Since there are multiple sets of parentheses, we must simplify the innermost group first.  If we add 16 and 4, we get:

[20 - 10] - 8

Next, we must perform the subtraction inside the parentheses.  This gives us:

10 - 8

Now, we can perform the final operation.  

10 - 8 = 2

Therefore, the correct answer is 2.

Hope this helps!

plz help me Identify the domain and range of relation ({3,-2),(8,1),(-9,2),(1,8)}

Answers

Answer:

domain { -9,1,3,8)

range{ -2,1,2,8}

Step-by-step explanation:

The domain is the inputs

Domain = 3,8,-9,1

We write them in the order from smallest to largest

domain { -9,1,3,8)

The range is the outputs

Range  = -2,1,2,8

We write them in the order from smallest to largest

range{ -2,1,2,8}

Review what you know about products and sums represented by rectangular area models. [5 points] Use algebra tiles to multiply (x-1)(3x+2).

Answers

(x - 1)(3x + 2)
= 3x^2 + 2x - 3x - 2
= 3x^2 - x - 2

3x^2 - x - 2

What are some ways to solve an equation?

Different ways to solve equations. We have 4 ways of solving one-step equations: Adding, Substracting, multiplication, and division. If we add the same number to both sides of an equation, both sides will remain equal.

How do you evaluate an equation?

∫ y2+y−2dy ∫ y 2 + y − 2 d y∫ 2 1 y2 +y−2dy ∫ 1 2 y 2 + y − 2 d y∫ 2 −1 y2 +y−2dy ∫ − 1 2 y 2 + y − 2 d y

= (x - 1)(3x + 2)

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

= 3x^2 - x - 2

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please help :) Studies involving humans or animals are conducted under strict policies and procedures. This solution addresses which limitation? A) size of the system B) ethical concerns C) lack of proper equipment D) limited amount of time

Answers

Answer:

B

Step-by-step explanation:

Ethical concerns!

Good luck on your assignment hope this helps!:)


Find the co-ordinates of the foot of the perpendicular drawn from the point (6, 3) to the line by
segment joining (4,1) and (8,3).​

Answers

The coordinates of the foot of the perpendicular drawn from the point (6, 3) to the line by segment joining (4,1) and (8,3). is (6.4, 2.2)

What is an equation?

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

The equation of the line passing through (4,1) and (8,3) is:

y - 1 = [(3 - 1)/(8 - 4)](x - 4)

y = 0.5x - 1

The line perpendicular to y = 0.5x - 1 has a slope of -2. It passes the point (6, 3), hence:

y - 3 = -2(x - 6)

y = -2x + 15

The line y = 0.5x - 1 and y = -2x + 15 intersect at point (6.4, 2.2)

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HELLLOPPPPPPP HELPPP ASAPPP PLEASE !!

Answers

Answer:

10 = c

Step-by-step explanation:

Distribute -4 to the parentheses:

8 = 8c - 4(c + 8)

8 = 8c - 4c - 32

Add like terms:

8 = 4c - 32

Add 32 to both sides:

40 = 4c

10 = c

Answer:

Question:

8=8c-4(c+8)

Step-by-step explanation:

8=8c-4c-32

8=4c-32

8+32=4c

40=4c

Or

4c=40

c=10

Ocean sunfishes are well-known for rapidly gaining a lot of weight on a diet based on jellyfish. The relationship between the elapsed time, ttt, in days, since an ocean sunfish is born, and its mass, M_{\text{day}}(t)M day ​ (t)M, start subscript, start text, d, a, y, end text, end subscript, left parenthesis, t, right parenthesis, in milligrams, is modeled by the following function: Mday(t)=3.5⋅(1.05)t Complete the following sentence about the weekly rate of change in the mass of the sunfish. Round your answer to two decimal places. Every week, the mass of the sunfish increases by a factor of .

Answers

Answer:

1.4071

Step-by-step explanation:

The relationship between the elapsed time, t in days, since an ocean sunfish is born, and its mass is given by:

[tex]M_{day}(t)=3.5(1.05)^t[/tex]

This function represents an exponential growth increasing as the number of days increases since (3.5 > 1), it means that at day 0 , the mass of the sunfish is 3.5 milligrams and every day, its mass increases by a factor of 1.05.

Since the mass of the sunfish increases by [tex]1.05^t[/tex], therefore the mass of the sunfish increases every one week (that is 7 days) by a factor of [tex]1.05^{7} = 1.4071[/tex]

If x3 + ax2 – bx + 10 is divisible by x2 – 3x + 2,
find the values of
1) a-b
2) 2a-b

Answers

Answer: A=2 and B=13
Explanation: The Factor Theorem states that if a is the root of any polynomial p(x) that is if p(a)=0, then (x−a) is the factor of the polynomial p(x).

Let p(x)=x
3
+ax
2
−bx+10 and g(x)=x
2
−3x+2
Factorise g(x)=x
2
−3x+2:
x
2
−3x+2=x
2
−2x−x+2=x(x−2)−1(x−2)=(x−2)(x−1)
Therefore, g(x)=(x−2)(x−1)
It is given that p(x) is divisible by g(x), therefore, by factor theorem p(2)=0 and p(1)=0. Let us first find p(2) and p(1) as follows:
p(1)=1
3
+(a×1
2
)−(b×1)+10=1+(a×1)−b+10=a−b+11
p(2)=2
3
+(a×2
2
)−(b×2)+10=8+(a×4)−2b+10=4a−2b+18
Now equate p(2)=0 and p(1)=0 as shown below:
a−b+11=0
⇒a−b=−11.......(1)
4a−2b+18=0
⇒2(2a−b+9)=0
⇒2a−b+9=0
⇒2a−b=−9.......(2)
Now subtract equation 1 from equation 2:

(2a−a)+(−b+b)=(−9+11)
⇒a=2
Substitute a=2 in equation 1:
2−b=−11
⇒−b=−11−2
⇒−b=−13
⇒b=13
Hence, a=2 and b=13.

Which graph solves the following system? x+2y=4 5x−2y=8

Answers

Answer:

elimination method

x+2y=4     1

5x-2y=8     2

1+2

6x=12

x=2

plug into x+2y=4

2+2y=4

2y=4-2

2y=2

y=1

(2,1)

so graph 1

Briefly describe this graph of a Femis wheel.


Answers

Answer: This is a periodic relation.

Step-by-step explanation:

This is a periodic relation, that can be modeled with a sinusoidal relation, that relates the height as a function of time.

Then we can write this as h(t) = A*sin(C*t + F) + B

Where A is the amplitude, C is a constant that depends on the period, F is a phase shift, and B is the midpoint of the function.

2*A is the distance between the maximum height and the minimum height.

B is the middle height of the Femis Wheel.

Answer ASAP, Will give brainliest

Answers

Answer:

Step-by-step explanation:

1) ABCD is a trapezium. AB ║ CD

∠ADC + ∠DAB  = 180°  { Co interior angles}

110° + ∠DAB = 180

         ∠DAB = 180 -110

∠DAB = 70°

2) Sum of all angles of trapezium = 360°

∠A + ∠B + ∠DCB + ∠D = 360

70° + 50° + ∠DCB + 110° = 360

                 230 + ∠DCB = 360

                            ∠DCB = 360 - 230

∠DCB = 130°

3) For finding the height, use Pythagorean theorem

height² + base² = hypotenuse²

      height² + 6² = 10²

      height² + 36 =100

               height² = 100 - 36

              height² = 64

               height = √64

height = 8 m

4) a = AB = x m

  b = 9 m

h = height = 8 m

Area of trapezium = 120 m²

[tex]\frac{(a+b)*h}{2}\\\\[/tex]  = 120

[tex]\frac{(x+9)*8}{2} =120\\\\\\(x +9)*4 = 120[/tex]

x + 9 = 120/4

x + 9 = 30

    x = 30 - 9

x = 21 m

AB = 21m

                             

Shaquira is baking cookies to put in packages for a fundraiser. Shaquira has made 86 8686 chocolate chip cookies and 42 4242 sugar cookies. Shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies. What is the greatest number of identical packages that Shaquira can make?

Answers

Answer: 2

Step-by-step explanation:

Given: Shaquira has made 86  chocolate chip cookies and 42 sugar cookies.

Shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies.

Now, the greatest number of identical packages that Shaquira can make= GCD of 86 and 42

Prime factorization of 86 and 42:

86 = 2 ×43

42 = 2 × 3 × 7

GCD of 86 and 42 = 2   [GCD = greatest common factor]

Hence, the greatest number of identical packages that Shaquira can make =2

complete the square to solve
f(x)=x^2+6x-7​

Answers


Answer: x = 1 and x = -7

Explanation:
x^2 + 6x - 7 = 0
x^2 + 6x + 3^2 = 7 + 3^2
(x + 3)^2 = 16
x + 3 = +-4 (square both sides)

x + 3 = 4
x = 1

x + 3 = -4
x = -7
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A box contains 20 oranges and 10 grapes what is the probability of picking a grape from the box? I need help please help me How can the war on drugs directly impact someones ability to go to college? A boutique wants to make at least $127 profit from purses this week. The boutique earns $7 profit from each purse. How many purses must be sold? Lucas Corp. has a debt-equity ratio of .8. The company is considering a new plant that will cost $115 million to build. When the company issues new equity, it incurs a flotation cost of 8.5 percent. The flotation cost on new debt is 4 percent.A. What is the initial cost of the plant if the company raises all equity externally?B. What is the initial cost of the plant if the company typically uses 55 percent retained earnings? C. What is the initial cost of the plant if the company typically uses 100 percent retained earnings? I need help super fast Find the perimeter of the following rectilinear figure. Madison needs to buy enough meat to make 1,000 hamburgers will weigh 0.25 pound. How many pounds of hamburger meat should Madison buy A study was conducted by a research center. It reported that most shoppers have a specific spending limit in place while shopping online. The reports indicate that men spend an average of $240 online before they decide to visit a store. If the spending limit is normally distributed and the standard deviation is $20.A. Find the probability that a male spent less than $210 online before deciding to visit a store.B. Find the probability that a male spent between $270 and $300 online before deciding to visit a store. C. Ninety percent of the amounts spent online by a male before deciding to visit a store are less than what value? EBESGiven: f(x) = x2-3 and g(x) = x+1The composite function of isDONE What is the difference between matter and energy 3. A jogger runs 4 miles on Monday, 5 miles onTuesday, 3 miles on Wednesday, and 5 miles onThursday. He doesn't run on Friday. How manymiles did he run in all? By what factor is the intensity of sound at a rock concert louder than that of a whisper when the two intensity levels are 120 dB and 20 dB respectively The poetic form of Your Laughter is known as _____. A study of parents of kindergarteners included 349 parents who were chosen atrandom. Of these parents, 47% said they sent their children to pre-kindergarten. Schoolrecords show that only 31% of parents of kindergarteners sent their children to pre-kindergarten. Identify the statistic and the parameter. Three hundred forty-nine is the parameter and 47% is the statistic.Three hundred forty-nine is the statistic and 47% is the parameter.Three hundred forty-nine is the parameter and 31% is the statisticForty-seven percent is the parameter and 31% is the statisticForty-seven percent is the statistic and 31% is the parameter Solve for x: 2 ( x+5 ) = 0 What is the value of c? inscribed angles (Image down below) By 1807 approximately 500,000 Africans had been brought to the United States unwilling and forced into slavery how does the american correctional association serves I need help with this