In the diagram shown, m <AOC =124 and OA=10 cm. Which of the following is closest to the length of
arc ABC?

(1) 20.6
(2) 21.6
(3) 40.4
(4) 41.2

Answers

Answer 1

Answer:

(2) 21.6

Step-by-step explanation:

The segment OA is the radius of the circle

The arc of the complete circle is equivalent to its perimeter

perimeter = 2*π*radius = 2*π*10 = 62.83 cm

This arc is proportional to 360°. So, for 124°:

360°/124° = 62.83 cm/ x cm

x = 124*62.83/360

x = 21.6 cm


Related Questions

9) Find the midpoint of the line segment with the given endpoints: (6,3), (-2,7)
A. (-10, 11)
B. (2,5)
C. (4,-2)
D. (-1,0)

Answers

Answer:

B. (2,5)

Step-by-step explanation:

Given

Points:  (6,3), (-2,7)

Required

Midpoint

Midpoint is calculated as follows:

[tex](x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Where

[tex](x_1,y_1) = (6,3)[/tex]

[tex](x_2,y_2) = (-2,7)[/tex]

So,

[tex]x_1 = 6; y_1 = 3; x_2 = -2; y_2 = 7[/tex]

By substituting these values in the given formula

[tex](x,y) = (\frac{6-2}{2},\frac{3+7}{2})[/tex]

[tex](x,y) = (\frac{4}{2},\frac{10}{2})[/tex]

[tex](x,y) = (2,5)[/tex]

Hence, the midpoint of the line segment is (2,5)

Consider the long division problem below. What error did Sam make when he computed the answer? 0.043 StartLongDivisionSymbol negative 0.2709 EndLongDivisionSymbol minus 258 = 129. 129 minus 129 = a remainder of 0 and quotient of negative 63. The answer should be Negative 6.3. Sam should have moved the decimal point 3 places to the right in both the divisor and the dividend. The answer should be Negative 630. Sam should have moved the decimal point 5 places to the right in both the divisor and the dividend. The answer should be Negative 65. Sam made an error subtracting 258 from 270. The answer should be Negative 61. Sam made an error when multiplying 6 times the divisor.

Answers

Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

shoulders knees and toes ‍♀️✨‍♀️‍♀️wait i forgot the head,, thats what you'll get later✨‍♀️‍♀️‍♀️✨✨‍♀️‍♀️✨✨
sorry i just needed to put something here​

Answers

Answer:

C

Step-by-step explanation:

-3x - 2 ≥ 7

-3x ≥ 9

x ≤ -3

Answer:

c

Step-by-step explanation:

-3x-2 greater than or equal to 7

-3x greater than or equal to 9

x less than or equal to -3

(flip the inequality sign if you multiply by a negative number on both sides)

c

what does X equal to ?

Answers

Answer: x=7

Step-by-step explanation:since the diagonal line divides the angle into half, and it’s a square, so the angle would be 90 degree /2 = 45 degree.

so 4x+17 = 45, 4x = 28, x = 7

In this equation x=7

Evaluate q^2-5q+4, when q equals -2

Answers

Answer:

18

Step-by-step explanation:

q^2 - 5q +4

Let q = -2

(-2)^2 - 5(-2) +4

4  + 10 +4

18

Work out the length x

Answers

Answer:

12.1 cm

Step-by-step explanation:

We need to utilise Pythagoras theorem here. Pythagoras states that the 2 legs of the triangle square equal the hypotenuse squared so the formula for this is a² + b² = c²

In the question we are already presented with the hypotenuse so we will have to substitute in the values and rearrange

→ Form equation

7² + b² = 14²

→ Simplify

49 + b² = 196

→ Minus 49 from both to isolate b²

b² = 147

→ Square root both sides to isolate b

b = 12.12435565

The value of x to 1 decimal place is 12.1

What is the third quartile of this data set 14,18,20,21,25,32,42,46,48

Answers

Answer:

40

Step-by-step explanation:

Divide the list of numbers in half.

Since there are 9 numbers (odd number), divide like this :

14, 18, 20, 21      25       32, 42, 46, 48

Find the median of the third one. 

(46 + 42)/2 = 44

So the answer is 44

Hope this helped!

please mark me brainliest :)

After plotting the data where x=area, and f(x)=the length of one side of the square, Sam determined the model to approximate the side of a square was f(x)= *square root sign* x-5+3 Use the model Sam created to predict the side length of the square when the area is 86.

6
12
81
144

Answers

Answer:

12

Step-by-step explanation:

f(x) = sqrt( x-5)+3

Let x = 86

f(86) = sqrt(86 -5) +3

f(86) = sqrt(81) +3

f(86) = 9+3

f(86) = 12

The side length is 12

Yolanda participated in a walkathon in which each kilometer walked raised $10 for charity. Her goal was to raise more than $300 on Saturday and Sunday. She raised $50 on Saturday. Which graph shows all the distances, in kilometers, that Yolanda could have walked on Sunday to reach her goal?

Answers

Answer:

B

Step-by-step explanation:

She needed to raise at least $250

$250 divided by $10 equals 25 km

So she need more than 25km to raise over $300

please help! will give brainliest answer!
find x.
a. 2√3
b. 4√3
c. 8√3
d. 8

Answers

Answer:

d. 8

Step-by-step explanation:

sin(α) = opposite/hypotenuse

sin(30°) = 4/x

x = 4/sin(30°) = 4/(1/2) = 8

The range of which function includes -4?
y= Vx-5
Y=Vx+5
Y= NX + 5
Y= NX+5

Answers

[tex]option \: a \: is \: the \: right \: answer \\ y = \sqrt{x} - 5 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

The range of function y=√x+5 is -4.

What is Domain and Range?

A function's range refers to all of the potential values for y.

The formula for determining a function's range is y = f (x). If every x value corresponds to only one y value, the relation is only a function.

As, we know that the Domain is the input values and Range is the output values.

Now, we have range is -4.

First, -4 = √x - 5

-4 + 5 = √x

√x = 1

x = ±1

Second, -4 = √x+ 5

-4 -5 = √x

√x = -9

x = 81

Third, -4 = √(x + 5)

16 = x+ 5

x = 11

Fourth, -4 = √(x -5)

16 = x - 5

x = 21

So, the range of function y=√x+5 is -4.

Learn more about Range of function here:

https://brainly.com/question/31203487

#SPJ7

Ten Points For First To Answer Correctly

34 of your books are fiction. 23 of those are historical fiction.

What fraction of your books is historical fiction?

A. 3/12

B. 1/12

C. 5/7

D. 1/2


Answers

Answer:

23/34

Step-by-step explanation:

This is guessing you only have fiction books.

determine the value of x in the diagram with explanation plz ​

Answers

360degrees is the whole degree for the shape.

You’ve got x and 2x so if you add them all up, you’ll get 6x

You do 360 divide by 6.

Which will get you 60

X = 60

What is the absolute value of -12 – 5?

Answers

Answer:

17

-12 - -5 = -17

-17 is 17 numbers away from 0 so 17 is the answer

Hope this helps

Step-by-step explanation:

Use the substitution method to solve the system of equations

Answers

Answer:

C. (3,2)

Step-by-step explanation:

to begin the substitution method, we can begin by substituting the answer choice value into the given system or equations to determine if the values make the equation true.

the first choice is (2,1)

3(2) + 2(1) = 13

6 + 2 is not equal to 13. Therefore this answer choice is incorrect.

second choice (1,2)

3(1) + 2(2) = 13

3 + 4 is not equal to 13. This answer is also incorrect.

third choice (3,2)

3(3) + 2(2)

9 + 4 = 13 is true!

we can also substitute these x and y values for the equation underneath:

y = x - 1

2 = 3 - 1

2 = 2 is true! Therefore, C. (3,2) is correct!

please help me i’ve been stuck on this

Answers

Answer:

The odd that B draws an ace is 3/51 or 1/17

No, it is independent because they don't know if the card they draws is an ace or not. Because if B take the card first also it would be ace so it isn't dependent i think

Can someone please help me find the slope of the line!!!!! Extra Points and Braniest will be given!!!

Answers

4 rise Over run get two points and count the distance between both

Answer:

(3,12)

Step-by-step explanation: The slope is rise over run so the rise is x and run run is the y

Solve for the variable: 4x + 8 = 112 Question 2 options: 26 120 30 104

Answers

The answer is 26 ! Because you would subtract 8 from 112 which would leave you with 104 now you would divide 104 and 4 ! Which gives you 26 .

The answer to this problem is 120

30 POINTS!!!!!The difference between negative five times a number and three is no less than seven.

Boundary point:

Answers

Answer:

15+[tex]15x+7[/tex]

Step-by-step explanation:

Answer:

The answer would be x=8/5 or 1 3/5

expand the following 3(5n + 6)

Answers

Answer:

15n+18

Step-by-step explanation:

you have to multiply both integers(5n + 6) from inside the bracket with the number outside the bracket *3*

equation working below

3×5n=15n

3×6=18

final answer:

15n+18

Karim began his day by drinking 1 cups of milk at breakfast. By the end of the day, he drank a total of 2
1
cups of milk.
3
Which equation and solution correctly represent the amount of milk in cups, m , Karim drank after breakfast?

Answers

Answer:

Equation:

21 = 1 + m

Solution:

20 = m

Step-by-step explanation:

What we know:

Karim drank 1 cup of milk at breakfastKarim drank a total of 21 cups of milkm = the amount of milk, in cups, Karim drank after breakfast

We know that Karim drank 21 cups of milk in a day. In an equation, that would look like this:

21 =

What does 21 equal?

The amount of milk Karim drank at breakfast plus the amount of milk Karim drank after breakfast.

21 = milk at breakfast + milk after breakfast

Let's substitute what we know into this equation:

21 = milk at breakfast + milk after breakfast

21 = 1 + m

Now that we have our equation, let's solve.

21 = 1 + m

-1    -1

20 = m

Therefore, Karim drank 20 cups of milk after breakfast.

Phone’s Plus charges a connection fee of 35 cents and 3 cents per minute. Fabulous Phones charges a connection fee of 45 cents and 2 cents per minute. Which equation could be used to determine the number of minutes, x, when a phone call would cost the same at both companies?

A. 0.35+0.3x=0.45+0.2x

B. 0.35+0.03x=0.45+0.02x

C. 35+0.03x=45+0.2x

D. 35+0.03x=45+0.02x

Answers

Answer:

B. 0.35 + 0.03x = 0.45 + 0.02x

Step-by-step explanation:

I don't really know how to explain it, but it is correct.

This is complicated,no how to explain its c. Jk it’s b :p

Help asap please, dhebduhd

Answers

Hi there !

The answer is B. angle 4.

An alternate interior angle is diagonally across one angle on the inside of the transversal. Opposite of 5 on the inside is angle 4.

Hope this helps !

Answer:

Angle 4

Step-by-step explanation:

The angle that is Alternate Interior Angle with [tex]\angle 5[/tex], would be [tex]\angle 4[/tex], because they both lie inside of the transversal and they lie in the opposite sides.

NUMBERS THAT ARE GONNA BE ROUNDED TO: 1/2, 1, 0

1. 1/8 + 2/5

2. 13/14 - 1/10

3. 1/12 + 1/20

Answers

Answer:

1. 1/2

2. 1

3. 0

Step-by-step explanation:

We have enough material to build a fence around a station
that has a perimeter of 180 feet. The width of the rectangular
space must be 30 feet. What must the length be?
1: Drag the correct number of strips to build the model.
P
1
-
-
-
-
1
W

Answers

Answer:

[tex]60ft[/tex]

Step-by-step explanation:

Use the formula for the perimeter of a rectangle.

[tex]P=2l+2w[/tex]

[tex]180=2l+2(30)[/tex]

[tex]180=2l+60[/tex]

[tex]180-60=2l[/tex]

[tex]120=2l[/tex]

[tex]\frac{2l}{2}=\frac{120}{2}[/tex]

[tex]l=60[/tex]

18. Use an inequality symbol (<, >,=, s) to compare -3 +7_-10 - 2
A. s
B.>
C. =
D.<

Answers

Answer:

-3 +7 > -10 - 2

Step-by-step explanation:

Given

-3 +7_-10 - 2

Required

Compare using any of the given inequality symbols

We start by solving both sides of the inequality

- 3 + 7 _  -10 -  2

(-3 + 7) _ (-10 - 2)

(4) _ (-12)

Having solved both sides of the inequality, it'll be observed that 4 (on the left hand side) is greater than -12 (on the right hand side);

Hence, the _ symbol can be replaced by the greater than symbol.

(4) _ (-12) can then be rewritten as

(4) > (-12) or

- 3 + 7 > -10 - 2

From the list of given options, option B is correct

Rosalia went on a long bike ride. The table shows how long she biked and the distance she
traveled. Determine whether the relationship between hours biked and miles traveled is
proportional.
-91
O The relationship is not proportional.
O The relationship is proportional.

Answers

Answer:

The relationship is not proportional.

Step-by-step explanation:

To see if many ratios are (fair in amount, related to something else/properly sized compared to something else), you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have (fair in amount, related to something else/properly sized compared to something else) ratios.

y/x=c.o.p

c.o.p=constant of proportionality.

the rate of change also know as the constant of (fair in amount, related to something else/properly sized compared to something else)ity (k = y/x) which is the constant ratio between two (fair in amount, related to something else/properly sized compared to something else) amounts y/x represented by the symbol k which may be a positive clear and sensible number. The x value is related to the y value such as in the equation y = kx.

Mai bought eleven 12-ounce bags of
walnuts. How many pounds of walnuts did
she buy? (16 ounces = 1 pound)

Answers

Answer:

8.25 pounds

Step-by-step explanation:

When you multiply 12 and 11 you get 132. So then you would have to divided the total amount of ounces by 16 to get the amount of pounds

HELP!!!
Solve for x given that CE = 36.
Show your work

Answers

Answer:

x=7

Step-by-step explanation:

CE = 36

CE = 9+(3x+6) = 9+6+3x = 15+3x

36= 15+3x

36-15 = 15-15+3x (removing 15 from left side also means removing 15 from right side)

21 = 3x

x= 21/3 = 7

Answer:

x=7

Step-by-step explanation:

First, I wrote down the equation.

3x+6=36-9

Then, I simplified it.

3x+6=27

Then, I moved the six from the right to the left.

3x=21

After that, I divided both sides by 3.

x=7

Yay! You got your answer!

8. A candle is 4 inches tall and burns at the rate of 0.6 inch per hour. If the height of the candle after x hours is 1.5 inches,
write an equation to represent the situation. Then use this equation to find the expected number of hours in which the candle
melted to 1.5 inches.

Answers

Answer:

x-.6=1.5

Step-by-step explanation:

4-1.5=2.5 2.5/.6 is approximately 4

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