A central angle of a circle that measures 2 radians intercepts an arc of length 10 cm. What is the length of the radius?
5 cm
10 cm
15 cm
20 cm

Answers

Answer 1

Answer:

5 cm

Step-by-step explanation:

Arc length (S) = 10 cm

Central angle [tex] (\theta) [/tex] = 2 radians

We need to find: radius of the circle (r)

[tex] \because S = r \theta [/tex]

[tex] \therefore 10 = r(2) [/tex]

[tex] \therefore r= \frac{10}{2} [/tex]

[tex] \therefore r= 5\: cm [/tex]


Related Questions

Are the triangles shown below similar to one another?

Answers

Answer:

yes

Step-by-step explanation:

...............................

Jaylen and six of her younger siblings have ages that are consecutive. When they moved from San Francisco to Chicago, their ages (all seven of them) added up to 91. How old was Jaylen when they moved? Explain your thinking.

Answers

Answer:

Jaylen was 16 years old. She's the oldest.

Step-by-step explanation:

16  Jaylen

15  sibling 1

14  sibling 2

13  sibling 3

12 sibling 4

11  sibling 5

10  sibling 6

____________

91  Total

My thinking was that I started out dividing 91 by 7. That came out 13. So I knew the oldest one had to be older than 13.

Dieego is making a large mural he draws a hexagon with a perimeter of 10.5 meters each side is the same length. How amny meters long is diegos hexagon

Answers

Answer:

1.75m

Step-by-step explanation:

Given;

Perimeter of the hexagon = 10.5metres

Required

Side length of the hexagon

Since hexagon has 6 equal sides, hence the perimeter is expressed as;

P = 6a

a is the side length of the hexagon

Substitute the perimeter given

10.5 = 6a

a = 10.5/6

a = 1.75metres

Hence the length of each side of the hexagon is 1.75m

Write an expression for “Triple the sum of 33 and b”. *

Answers

Answer:

99+3b

Step-by-step explanation:

The original equation would be 3(33+b), but simplifying it would get 99+3b.

Put the following in order from least to greatest. -34.5,-34.75,-34 1/4,-34

Answers

Answer:

A.) -34, -34 1/4, -34.5, -34.75

Step-by-step explanation:

No need to have -34 TWICE on a list from least to greatest or greatest to least. This is a typo for sure.

Choice c is the answer.

Henri puts aside $10 cash every month in a shoebox. He also makes a one-time deposit of $1,500 in a savings

account at 9% annual interest, compounded yearly,

Amount of shoebox savings: f(t) = 120t

Amount of savings account: g(t) = 1,500(1.09)^t

Which function represents the amount of money Henri will have after t years?

Answers

Answer:

T(t) = f(t) + g(t)

Step-by-step explanation:

The function which represents the total amount of money Henri will have in t years is the function obtained using an addition operation in the two defied functions, f(t) and g(t) ; total amount saved in shoe box plus the total compounded amount in savings account

Total amount of money in t years, T(t) ;

T(t) = 120t + 1,500(1.09)^t

f(t) = 120t

g(t) = 1,500(1.09)^t

Hence,

T(t) = f(t) + g(t)

PLEASE I NEED HELP FAST! Suppose RT = 9 in. and ST = 4 in. Is it possible to find the length of TU ? If so, show how to find the length. If not, explain why not

Answers

Answer:

ummm there is no picture showing for me

Step-by-step explanation:

Can anyone help? I’m sorry I’m bad at math-

Answers

3. 22 % and 40% is the answer.

pls help with this immediately!!!! i’ll be giving brainiest to those who provide the correct answer. if u leave a link, have fun getting reported.

Answers

Answer:

I belive it is Parellelogram

parallelogram and quadrilateral

Please help! I will give brainliest!

Answers

Answer:

A. 1 in 6 jeans or 16.67% or [tex]\frac{1}{6}[/tex]

B. 15

Step-by-step explanation:

B. [tex]\frac{1}{6} = \frac{x}{90}[/tex]

If you have any questions feel free to ask in the comments

5 Find the area of the polygon.
$ cm
9 cm
2 em
A 45 cm
B. 90 cm
C. 94.5 cm
D. 72 cm
HELP PLEASE

Answers

The answer is a and if not D

substitiution method i really need help

Answers

Answer:

x = 7

y = 0

Step-by-step explanation:

Equation:  2x - 9y = 14

We are given that x = -6y + 7

So we substitute (-6y + 7) for "x" in the equation  2x - 9y = 14

* substitute *

2 ( -6y + 7 ) - 9y = 14

now we solve for y using basic algebra

step 1 distribute the 2

2 * -6y = -12y

2 * 7 = 14

now we have -12y + 14 - 9y = 14

step 2 combine like terms

-12y - 9y = -21y

now we have -21y + 14 = 14  

step 3 subtract 14 from each side

14 - 14 cancels out

14 -14 = 0

now we have -21y = 0

step 4 divide each side by -21

-21y / -21 = y

0 / -21 = 0

we're left with y = 0

now to find x

To find x we substitute 0 for "y" in x = -6y + 7

* substitute *

x = -6 ( 0 ) + 7

-6 * 0 = 0

we're left with x = 7

what would you do if someone asked you why you wear glasses?

Answers

Answer:

SAY THIS : oh finally i thought u were blind for a sec there

Step-by-step explanation:

9 - 3/5 as a improper fraction

Answers

Answer:

42/5

Step-by-step explanation:

Answer: heres the right aswer 48/5.

This becomes the numerator of the improper fraction; the denominator of the new fraction is the same as the original denominator. For example, we can convert 9 3/5 into a mixed number: 9×5 = 45, and 45 + 3 = 48. Thus, 9 3/5 = 48/5.

Solve for xxx. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. 54x+64 \geq 49x + 5954x+64≥49x+59

Answers

Answer:

x ≥-1

Step-by-step explanation:

Given  the inequality

54x+64≥49x+59

Collect the like terms

54x - 49x ≥ 59 - 64

5x ≥ -5

Divide both sides by 5

5x/5 ≥ -5/5

x ≥ -1

Hence the required solution is x ≥-1

i need more help pls and thx to who ever help

Answers

The difference is that one is bigger than the other one, and that the bigger box suface are is 180 and the other one is 22.5

Mark me BRAINLIST

Can somebody help me with this

Answers

Answer:

8) 260 mm

9)? .............

EASY 10 POINTS AND BRAINLEIST

Write an inequality that represents this situation below. Be sure to define your variable in words.

The high school softball team needs to buy T-shirts for their games. The T-shirts cost $8 a piece and they only have $100 to spend.

Answers

Answer:

100-(8 times y)

Step-by-step explanation:

The high school softball team needs to buy T-shirts for their games. The T-shirts cost $8 a piece and they only have $100 to spend.

8 a peice

This means that the money costs 8$ for each of the players. We don't know how many players there are, so we will just label the amount of players as "y"

And we will multiply 8 times y to get our answer

And then we will subtract THAT answer minus 100 to get our full answer.

Hope this helps!

Have a great day!

The equation -x^2+4x-4=0 has no solutions
a. true
b. false

Answers

Answer:

true

Step-by-step explanation:

Let us calculate the determinant of this quadratic equation:

Δ = b^2 - 4ac = 16-4*(-1)*(-4) = 0

The equation has one solution

x = -b/2a = 2

Find the equation of the circle with a center at (-2,10 and a point on the circle is at (4,9).
A. (x-2)^2+(y+1)^2=100
B. (x+2)+(y-1)^2=100
C. (x-2)+(y+1)^2=10
D. (x+2)^2+(y-1)^2=10

Answers

Answer:

d i think

Step-by-step explanation:

sheeeeesh

Tom and Brad often play a video game. One day, they tracked the scores they each received for 10 rounds.



Based on these samples, what generalization can be made?
A.
Tom's median video game score is less than Brad's median video game score.
B.
Tom's mean video game score is equal to Brad's mean video game score.
C.
Tom's mean video game score is more than Brad's mean video game score.
D.
Tom's range of video game scores is less than Brad's range of video game scores.

Answers

Answer:

Tom's median video game score is less than Brad's median video game score.

Can someone help me with this?

Answers

Answer:

a) 5.2m   b) 23.6m

Step-by-step explanation:

a) tan 33° = x/8

=> x = tan 33 × 8

=> x ≈ 5.2 m

b) tan 25° = 11/x

=> x = 11/tan 25°

=> 23.6 m

I know the answer already but can someone explain it please
2187= 3^x
Answer is x=7

Answers

Answer:

3^x = 2187 is equivalent to log 3 (2187) = x.  (the three is the small number that goes lower next to the g). Then, use a calculator to do log(2187) / log(3)

Step-by-step explanation:

Evaluate the following expression
9+ 2/8^3=

Answers

Answer:

Step-by-step explanation:

assuming this is set up as it is meant to, we would have 9+(2/8)^3. This can be simplified by reducing (2/8)^3 into 1/64. This leaves 9+1/64, this gives 577/64. Hope this helps!

Answer:

9.015625

Step-by-step explanation:

3) What is 3x +15y=-16 in slope intercept form?

Answers

Answer:

y=-1/5x-16/15

Step-by-step explanation:

slope intercept form y=mx+b

3x+15y=-16

15y=-3x-16 divide both sides by 15

y=-3/15x-16/15   simplify -3/15 to -1/5

y=-1/5x-16/15

what integer is closest to
[tex] \sqrt{321} [/tex]​

Answers

Answer:

Step-by-step explanation:

18*18 = 324

So 18 is the closest integer to [tex]\sqrt{321}[/tex]

Answer:

17.9 if you need to round up its 18.

1,345,456,234,234,345,234,-1234,567,890=? My subsititue is being mean so we can not use calculatars and I do not like to cheat anyway but in this case (yes)

Answers

Answer:

1,345,456,232,999, 777,344

Step-by-step explanation:

1,345,456,23   4,   2   3    4,   3    4     5,   2    3      4,

                        -1    2   3     4,    5   6     7,   8    9     0        

1,345,456,23    2,  9   9     9,    7     7    7,   3   4     4      

So we write the ones under the ones, tens under the tens  starting from the right hand side.

The first numbers can be easily subtracted as 4 is greater than zero. Then comes 3 which is less than 9 so we borrow 1 digit from the left to right to make it 13 and subtract 9 from it and get a 4. Then we are left with 1 as we have already borrowed 1 digit. As 1 is less than 8 we again borrow 1 digit from the left to make it 11 and subtract 8 and get 3. So the next number is 4 as we have already borrowed 1 and it is less than 7 . Again we will borrow 1 digit from the left to make it 14 and subtract 7 to get a 7.

So the process continues until we get the answer.

El área de un terreno rectangular es de 144 metros cuadrados. Si la base es mayor 7 metros que la altura. ¿Cuáles serían las dimensiones reales? ¿Y su perímetro?

Answers

Altura = 16  

Base = 9

(16 * 9 = 144)

Perímetro = 50

(16*2 + 9*2 = 50)

A shopping container has a volume of 2,800 cubic inches. which could be the dimensions of the container? WILL GET BRAINLIEST​

Answers

Missing part of the question

- 10 in, by 12 in. by 24 in.

- 12 in. by 15 in. by 18-in.

- 10 in. by 16 in. by 20 in.

- 12 in. by 12 in. by 20 in.

Answer:

The possible dimensions of the container are

- 10 in, by 12 in. by 24 in

- 12 in. by 12 in. by 20 in

I hope i helped you. have a wonderful day!

En una librería se venden novelas a 16 euros y guías de viaje a 10 euros. Si hoy se han vendido 37 libros en total con una recaudación de 508 euros, calcula el número de ejemplares vendidos de cada tipo.

Answers

Answer:

En la librería se vendieron 23 novelas y 14 guías de viaje.

Step-by-step explanation:

Con la información proporcionada puedes plantear las siguientes ecuaciones:

x+y=37 (1)

16x+10y=508 (2), donde:

x es el número de novelas vendidas

y es el número de guías de viaje vendidas

Primero, puedes despejar x en (1):

x=37-y (3)

Ahora, debes reemplazar (3) en (2) y despejar y:

16(37-y)+10y=508

592-16y+10y=508

592-508=16y-10y

84=6y

y=84/6

y=14

Después, debes reemplazar el valor de y en (3) para encontrar el valor de x:

x=37-14

x=23

De acuerdo a esto, la respuesta es que en la librería se vendieron 23 novelas y 14 guías de viaje.

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