2
A chord 12 cm long subtends an angle
of 40° at the centre of the circle. Calcu-
late the radius of the circle.

Answers

Answer 1

Answer:

Chord 12 cm long subtends an angle of 40 degrees at the center of a circle.

θ= 40° = 0.698 rad

Let R be the radius of circle.

Chord Length = 2Rsin(θ/2)

12=2R sin (0.698 /2)

R= 17.54

Ans: Radius of circle = 17.54 cm


Related Questions

The sum of 7 times a number and 3 equals 8
variable is w

Answers

Answer:

21w

Step-by-step explanation:

Answer:
38w
Step by step answer:




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

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

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!

Xavier bought a bicycle that was on sale for 15% off.If Xavier paid $68 for the bicycle,how much money did he save,compared to the original price

Answers

Answer:

12 dollars

Step-by-step explanation:

100%-15%=85%

68÷85%=80

The original price was 80 dollars.

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.

Which recursive formula can be used to generate the sequence shown, where f(1) = 9.6 and n > 1?

9.6, –4.8, 2.4, –1.2, 0.6, ...

f(n + 1) = (–0.5)f(n)
f(n + 1) = (0.5)f(n)
f(n + 1) = f(0.5n)
f(n + 1) = f(–0.5n)

Answers

Answer:

f(n + 1) = (–0.5)f(n)

Step-by-step explanation:

help? A game of chance has a spinner with five equal-sized sections. The results of 625 spins are shown below:

Color. Frequency
Orange. 118
Purple. 137
Brown. 122
Yellow. 106
Green. 104


( look at attached picture! )

Answers

Brown has the closest probabilities to each other and green has the greatest difference

Answer:the answer is a

Step-by-step explanation:

5. Find the volume of a cyclinder with a height of 6m and a radius of 3m.
169.56m^3
28.26m^3
339.12m^3

Answers

Answer:

169.56m^3

Step-by-step explanation:

whoever answers correctly get brainliest.

Answers

Answer:

all of it

Step-by-step explanation:

Answer: 1, 2, 3, 4, 5

Step-by-step explanation:

9 x 2 3/4 pls help me

Answers

Answer:  24.75

Step-by-step explanation:

someone help and PLZ make sure it’s right

Answers

Answer:

Acute

Step-by-step explanation:

Acute is defined as an angle less than 90°. All of those angles are less the 90°.

Answer:

right triangle

Step-by-step explanation:

To test for a right triangle, use the Pythagorean theorem.

Let the legs, a and b, be the two shorter sides, and let the hypotenuse, c, be the longest side.

a² + b² = c²

a² + b² = 7.2² + 9.6² = 51.84 + 92.16 = 144

c² = 12² = 144

Since a² + b² = c², the triangle is a right triangle.

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

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

Select all of the numbers that are irrational.

Answers

1, 4 ,5 ,6 are all irrational.

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:

help!! i need answers asap! (ZOOM IN IF NEEDED!)
NO LINKS!
I WILL GIVE BRAINLIEST

Answers

i think it would be c. :)

What are you finding when you solve for volume?


An object


To find two objects


To cover an object


To fill an object

Answers

VOLUME is what he space that a substance or shape occupies or contains.

so d - to fill an object

best skill and skill you want to improve in math?

Answers

Answer:

What do you mean?

Step-by-step explanation:

i guess a skill I want to improve is algebra..?

Answer:

Division ➗

Step-by-step explanation:

it not good at division ➗

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.

The formula for finding the volume of a cube is V=s3, where s is the length of one side. What is the volume, in cubic units, of a cube with side length 7.5 units? Round to the nearest hundredth when necessary

Answers

Answer:

421.88 cubic units

Step-by-step explanation:

The formula for finding the volume of a cube is V=s3, where s is the length of one side. What is the volume, in cubic units, of a cube with side length 7.5 units? Round to the nearest hundredth when necessary

V =s³

s = 7.5 units

V = (7.5 units)³

V = 421.875 cubic units

Approximately = 421.88 cubic units

Felicia has a garden in the shape of a parallelogram as shown.

What is the area of her garden?




72 ft²

75 ft²

92 ft²

96 ft²

Answers

Answer:

72ft^2 is the answer hope it helps

Answer:

72 ft²

Step-by-step explanation:

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.

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

A spinner has an equal chance of landing on either red blue or green. You spin six times. What is the probability that spinner lands on red at least two times?

Answers

Answer:

0.8906 ( 4 decimal places)

Step-by-step explanation:

With an equal probability of landing in either blue or red, then

Probability of success, p = 0.5

Number of trials, n = 6

Probability of landing on red atleast twice Can be obtained using a cumulative binomial probability ;

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x ≥ 2) = p(x = 2) + p(x = 3) + p(x = 4) + p(x = 5) + p(x = 6)

Obtaining the individual probabilities and summing them up or we could use a cumulative probability option on either a calculator, excel or an online binomial probability distribution.

Using an online binomial probability calculator :

P(x ≥ 2) = 0.890625

P(x ≥ 2) = 0.8906 ( 4 decimal places)

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

Answers

Answer:

( x , y ) = ( 2 , 4 )

Step-by-step explanation:

Hope this helps!

Help me please
Help me

Answers

Answer:

Squares have equal sides

Step-by-step explanation:

If LN is 46 then:

OM is also 46

PN is half of that so 23

ON and MN would be 32.53

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

HELP AND NO LINKS HELP

Answers

Answer:

b.

Step-by-step explanation:

Each of the provided angles are also a part of linear pairs, so 180-145=35

180-100=80

35+80=115

To solve for the final angle/the one they are wanting

180-115=65

If you anticipate that it will take about 4 hours to move everything, how much will you pay to the company that offers the best deal? A. $130 B. $140 C. $150 D. $160

Answers

Answer:

D.

Step-by-step explanation:

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