If the length of the 45° region of this circle is 10 inches, what is the radius of the circle? Use and round to the nearest tenth.

Answers

Answer 1

Answer:

12.71in

step explanation:

The Length of an arc given is expressed as;

A = theta/360 * 2πr

10 = 45/360 * 2 * 3.14r

10 = 1/8 * 6.28r

Cross multiply

10 * 8 = 6.28r

80 = 6.28r

r = 80/6.28

r = 12.74in

Hence the radius is 12.71in


Related Questions

Mrs.Lorentz bought 12 pounds 8 ounces of flour. This is 1/4 of the flour she will use to make sugar cookies in her bakery this week. If she uses 5 ounces of flour for each batch of sugar cookies, how many batches of sugar cookies will she make in a week?

Answers

Answer:

153 batches

Step-by-step explanation:

Find the inverse of

g(x)=16+x/4

Give full explanation

Answers

Answer:

x/4 + 16

Step-by-step explanation:

to  add or subtract the expressions expand them to make therir deomanators the same . Multiply 16 times 4/4

since 16 x 4/4 have the same deniomanator add them by adding the numorators

do the multiplications in 16X4 + x

= x/4 + 16

hopes this help!

samantha gathered the following information on a given day at the dog park

Answers

Answer:

Ok

Step-by-step explanation:

The table completely to represent Samantha's data is

Dogs Puppies  Not Puppies Long Hair Not Long Hair

3232 1515    1717                  1111                 606

How to form two-way table?

Suppose two dimensions are there, viz X and Y. Some values of X are there as X_1, X_2, ... , X_n and some values of Y are there as Y_1, Y_2, ... , Y_n

List them in title of the rows and left to the columns. There will be n \times k table of values will be formed(excluding titles and totals), such that:

Value(ith row, jth column) = Frequency for intersection of  X_i  and Y_j  (assuming X values are going in rows, and Y values are listed in columns).

Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.

For n = 2, and k = 2, the table would look like:

[tex]\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}[/tex]

where S denotes total of totals, also called total frequency.

n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.

We are given that;

Number of dogs playing=3232

Number of puppies=1515

Now,

We can calculate the number of dogs that have long hair by using the information that there are 66 more dogs that have long hair than dogs that do not have long hair. We know that there are 1111 dogs that have long hair and 1717 dogs that are not puppies. So, the number of dogs that do not have long hair is 1717 - 66 = 1651.

We can also check that the total number of dogs is equal to the sum of the number of puppies and the number of not puppies. 1515 + 1717 = 3232.

Therefore, the table will be;

Dogs Puppies  Not Puppies Long Hair Not Long Hair

3232 1515    1717                  1111                 606

Learn more about two-way table here:

https://brainly.com/question/26788374

#SPJ3

The complete question is;

Samantha gathered the following information on a given day at the dog park.

• There are 3232 dogs playing at the dog park.

• 1515 of the dogs are puppies.

• 1111 of the dogs are not puppies and have long hair.

• There are 66 more dogs that have long hair than dogs that do not have long hair.

Fill in the table completely to represent Samantha's data.

The mean of 5 numbers is ten I add one now the mean is 11 which number did I add?

Answers

Answer:

you added 6

Step-by-step explanation:

how the number order goes.

Write an equation to represent the measures of the angles

Answers

Answer:

x = 72

Step-by-step explanation:

These angles are complementary so they add up to 90:

x + 18 = 90

x = 90 - 18

x = 72

Juan's time in the race was 5.04 seconds and Tiauna's was 5.40. Explain who had the faster speed and by how much?

Answers

Answer:

speeds of Juan and Tiauna  are 0.1984 m/s and 0.1851 m/s respectively

Step-by-step explanation:

Given:  Juan's time in the race was 5.04 seconds and Tiauna's was 5.40 seconds

Let speed of Juan and Tiana's be J m/s and T m/s respectively

In the race both Juan and Tiauna will cover equal distance. Therefore, the speed and time would have reciprocal relationship

Speed ∝ 1/Time

This means J = 1/5.04 m/s

J= 0.1984 m/

and, T = 1/5.40 m/s

T= 0.1851 m/s

Therefore, speeds of Juan and Tiauna  are 0.1984 m/s and 0.1851 m/s respectively

Help ASAP!! Geometry -

Find the volume of the solid. (FSSS!) Round answers to the nearest hundredth.

Answers

Answer:

x = 9.27 cm

Volume = 289.2 cm³

Step-by-step explanation:

SA = Surface Area

SA = 229.2 cm²

P = Perimeter of Base

P = 3(6)

P = 18 cm

H = Height of Solid

H = x

A = Area of Base(Equilateral Triangle)

A = 6²√3 / 4

A = 36√3 / 4

A = 9√3

A = 9(1.732)

A = 31.176

A = 31.2 cm²

SA = Surface Area

SA = PH + 2A

229.2 = 18x + 2(31.2)

229.2 = 18x + 62.4

229.2 - 62.4 = 18x

166.8 = 18x

9.266 = x

9.27 = x

x = 9.27 cm

V = Volume

V = AH

V = 31.2(9.27)

V = 289.224

V = 289.2 cm³

(I’ll give brainliest)Find the area of the circle below leave your answer in terms of Pi

Answers

Answer:

I think it's 20 i'm not so sure if you get it wrong than i'm sorry

The cost of a school banquet is $95 plus $15 for each person attending .write an equation that gives total cost as a function of the number of people attending.what is the cost for 77 people

Answers

So, y = mx + b.

Identify the variables

m is for how many people is attending to the school banquet.

x is for the cost for each person attending

b is for the cost of a school banquet

m = 77, x = 15, b = 95

Now plug in the variables

y = 77(15) + 95

Solve:

77 (15) = 1155

1155 + 95 = 1250

Your answer is $1250.

(I hope this is correct)

If the sales tax rate is 7 1/4 percent and Jessica paid $1.45 in sales tax for a
sweater, what was the price of the sweater?

Answers

Answer:

$20

Step-by-step explanation:

Find the price of the sweater by dividing 1.45 by 0.0725

1.45/0.0725

= 20

So, the sweater was $20

What can a video do that a text cannot

Answers

Answer:

A video can use moving images and sound unlike text

Step-by-step explanation:

Answer:

A video has special edits whilst a text cannot be edited when sent to a person nor in the process of being sent. A video can have a special ability to be replayed and has moving objects. While a text can be only read.

(Which text are you talking about by the way?)

Answer choices are
A:50
B:60
C:120
D:150

Answers

The answer is B, since a triangle has 180 degrees and the 2 angles add up to 120 making the last angle be 60 degrees

2
Jillian numbered 10 counters from 1 through 10 and placed them in a cloth bag. She then performed an experiment where she
drew one counter, recorded its number, and then replaced it. Jillian did this 25 times. The results of Jillian's experiment are shown
in the table.
Jillian's Experiment
Counter Number of
Number Times Drawn
1
4
2
3
4
4
3
2
5
6
3
7
0
3
8
9
2
10
3
What is the experimental probability of drawing a number 1 counter followed by a number 6 counter?
OA
1 of 10 Answered
Session Timer: 1:22
Session Score: 096 10/11

Answers

Answer:

8/625

Step-by-step explanation:

bc i guessed and its says 8/625

What is the volume of a square prramid with base edges 24m and slant height 13m? A 960 m B 2496 m C 2880 m D 4800 m

Answers

Answer:

B

Step-by-step explanation:

https://keisan.casio.com/exec/system/1223352513

Answer:

B

Step-by-step explanation:

24 x 13 squared = 2496

hi amazing people please help i’ll give brainliest thanks!

Answers

Answer:

I dont think so: False

Step-by-step explanation:

If they are team rivalries, They would talk about how they are always one above the other. Such as One winning and one losing or a 50/50 chance.

What is the circumference if the radius is 7 inches? Use 3.14 for pi and do not round your answer.

Answers

Answer:

43.96

Step-by-step explanation:

c=2×πr

2×3.14×7

43.96

500 + 500 = ? for easy points

Answers

Answer:

1000 is the answer on this question

Answer:

500+500=1000

i hope you have a nice day thank you for the points!

Step-by-step explanation:

brainliest please! :)


Please help I’ll give points

Answers

Answer:

<2

Step-by-step explanation:

The measure of <5 is <7 ÷ <1 = <2

Macy rolls a fair eight sided die with sides numbered from 1 to 8. Then from a box, she draws a numbered slip of paper. The slips of paper have numbers shown below.
1,2,5,7,8
Finally, she calculates the sum of her results.
Select all the true statements.
1.)A sum equal to 8 is the result 20 times in 80 rounds. This suggests the game is unfair.
2.)The probability of getting a sum that is a multiple of 3 is 3/8
3.) The probability of getting a sum that is even is 1/2.
4.) The probability of getting a sum that is greater than or equal to 12 is 11/40.
5.) The probability of getting a sum that is less than 10 is 21/40
There can be multiple answers

Answers

Probabilities are used to determine the chances of an event. The true statements from the 5 options are:

Probability that multiple of 3 is [tex]\frac{3}{8}[/tex]Probability of even sum is [tex]\frac{1}{2}[/tex]Probability of a sum greater than or equal to 12 is [tex]\frac{11}{40}[/tex]

Given that:

[tex]Die =\{1,2,3,4,5,6,7,8\}[/tex]

[tex]Number = \{1,2,5,7,8\}[/tex]

The possible outcomes are:[tex]S = \{(1,1),(1,2),(1,5),(1,7),(1,8),(2,1),(2,2),(2,5),(2,7),(2,8),(3,1),(3,2),(3,5),(3,7),(3,8)\\(4,1),(4,2),(4,5),(4,7),(4,8),(5,1),(5,2),(5,5),(5,7),(5,8),(6,1),(6,2),(6,5),(6,7),(6,8),\\(7,1),(7,2),(7,5),(7,7),(7,8),(8,1),(8,2),(8,5),(8,7),(8,8)\}[/tex]

The sum of the outcomes are:

[tex]S = \{2,3,6,8,9,3,4,7,9,10,4,5,8,10,11,5,6,9,11,12,6,7,10,12,\\13,7,8,11,13,14,8,9,12,14,15,9,10,13,15,16\}[/tex]

Rearrange

[tex]S = \{2,3,3,4,4,5,5,6,6,6,7,7,7,8,8,8,8,9,9,9,9,9,10,10,10,10,11,11,11,\\12,12,12,13,13,13,14,14,15,15,16\}[/tex]

[tex]n(S) = 40[/tex]

Next, we test the options

(1) The game is unfair

The question implies that the eight sided die is fair. This means that the game is fair.

Option (1) is false.

(2) Probability that multiple of 3 is [tex]\frac{3}{8}[/tex]

The multiples of 3 in the sample space are:

[tex]3's = \{3,3,6,6,6,9,9,9,9,9,12,12,12,15,15\}[/tex]

[tex]n(3's) =15[/tex]

The probability is then calculated as:

[tex]P(3's) = \frac{n(3's)}{n(S)}[/tex]

[tex]P(3's) = \frac{15}{40}[/tex]

Simplify

[tex]P(3's) = \frac{3}{8}[/tex]

Option (2) is true

(3) Probability of even sum is [tex]\frac{1}{2}[/tex]

The even outcomes are:

[tex]Even =\{2,4,4,6,6,6,8,8,8,8,10,10,10,10,12,12,12,14,14,16\}[/tex]

[tex]n(Even) = 20[/tex]

The probability is then calculated as:

[tex]P(Even)= \frac{n(Even)}{n(S)}[/tex]

[tex]P(Even)= \frac{20}{40}[/tex]

Simplify

[tex]P(Even)= \frac{1}{2}[/tex]

Option (3) is true

(4) Probability of a sum greater than or equal to 12 is [tex]\frac{11}{40}[/tex]

The outcomes of a sum greater than or equal to 12 are:

[tex]Sum \ge 12 = \{12,12,12,13,13,13,14,14,15,15,16\}[/tex]

[tex]n(Sum \ge 12) = 11[/tex]

The probability is then calculated as:

[tex]P(Sum \ge 12) =\frac{n(P(Sum \ge 12)}{n(S)}[/tex]

[tex]P(Sum \ge 12) =\frac{11}{40}[/tex]

Option (4) is true

(5) Probability of a sum less than 10 is [tex]\frac{21}{40}[/tex]

The outcomes of a sum less than 10 are:

[tex]Sum < 10 = \{2,3,3,4,4,5,5,6,6,6,7,7,7,8,8,8,8,9,9,9,9,9\}[/tex]

[tex]n(Sum < 10) = 22[/tex]

The probability is then calculated as:

[tex]P(Sum < 10) =\frac{n(P(Sum < 10)}{n(S)}[/tex]

[tex]P(Sum < 10) =\frac{22}{40}[/tex]

Option (5) is false

Hence, the true statements are: options 2, 3 and 4.

Read more about probabilities at:

https://brainly.com/question/20954641

Answer:

2.) The probability of getting a sum that is a multiple of 3 is 3/8

3.) The probability of getting a sum that is even is 1/2.

4.) The probability of getting a sum that is greater than or equal to 12 is 11/40

Explanation:

which expressions is equivalent to 4(2x+3y)​

Answers

Answer: 8x+12y

Step-by-step explanation:

Assuming this is a problem in a unit on distributive property, and thus, due to the apparent lack of options, will solve it as such:

The distributive property dictates that a(b+c) = ab+ac.

Thus,

4(2x+3y)

8x+12y

Hope it helps :)

Answer:

8x+12y

Step-by-step explanation:

Multiply both numbers times the number is outside the parenthesis

A building casts a shadow that reaches10 ft. Out from the base of the building. The length of shade from the top of the building to the end of the shadow is 26 ft. How tall is the building?

Answers

Answer:

24 ft

Step-by-step explanation:

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

26^2 = 10^2 + length^2

676 - 100 = length^2

length = 576

find the square root

= 24

You are skiing down a hill with an altitude
of 600 feet. The angle of depression is 15°.
Find the distance x you ski down the hill to
the nearest foot.

Answers

Answer:

x= 40

Step-by-step explanation:

award me

Lina used 75 square inches of fabric to make a triangular pennant to take to football game.The base of the pennant was 6 inches. What was the height of the pennant?

Answers

Answer:

25 inches

Step-by-step explanation:

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

Area of a triangle = 1/2 x base x height

75 = (1/2) x 6 x height

height = (75 x 2) / 6 = 25 inches

What is the midpoint of the segment shown below no links please

Answers

Answer:

D. (2,5)

Step-by-step explanation:

Since the segment is straight and horizontal the y-value will still be 5. Now to find the midpoint you simply figure out how long the segment is and divide by 2. After dividing by 2 you can add that number to smallest value or subtract it from the largest value to get the midpoint x value.

On Tuesday, Mario does Taco Tuesday where tacos are 5 for $7.00. If the regular price is $2.00 what is the per taco savings on taco Tuesday ? a.$1 b.$80 cents c$1.20 d.60 cents

Answers

Answer:

d. 60 cents

Step-by-step explanation:

7 divided by 5 is 1.4

2 - 1.4 = .60

D. 60 cents

Explanation:

Help please, if you don’t know don’t say anything✨

Answers

(x-5)^2+(y+4)^2=100
hope this helps

A animal shelter had 13 dogs and 15 cats. 4 dogs were adopted, and 1 cat died. then 6 more cats were rescued and 1 dog was adopted. then 3 more dogs were adopted, and 6 cats were added.

How many pets are there in all?
(whoever guess correctly gets brainliest) ​

Answers

I believe the answer is 31

Solve:
3x + y = 10
y = 6x - 8

Answers

Answer:

( x , y ) = ( 2 , 4 )

Step-by-step explanation:

Hope this helps!

FIND THE THE
MISSING ANGLE:
56°
82°
Х

Answers

The answer is 42... you add 56 and 82 then subtract that sum from 180

Answer:

x=42°

Step-by-step explanation:

All sides of a triangle equals 180. so 56+82= 138. 180-138 equals 42

Find the length of the third side. If necessary, round to the nearest tenth.
13
20
help please !

Answers

Answer: D, 15.2

Step-by-step explanation:

use formula a^2 + b^2 = c^2

a^2 + 13^2 = 20^2

a^2 + 169 = 400

       - 169   -169

a^2 = 231

sqrt   sqrt

a = sqrt(231)

a = 15.198 = 15.2

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