ACBM is a segment of a circle such
that CM is the perpendicular bisector of AB.

If ICM 4 cm and IABI= 16 cm, calculate:
a the radius of the circle of which ACBM is a
segment
b the angle that chord AB subtends at the
centre of the circle
c the area of the segment.​

Answers

Answer 1

Answer:

a. 8.94 cm  b. 127°  c. 12.37 cm²

Step-by-step explanation:

a. Since CM = 4 cm is the perpendicular bisector of AB = 16 cm and r is the radius off the circle. From Pythagoras' theorem,

r² = (AB/2)² + CM²

r = √[(AB/2)² + CM²]

Substituting the values of the variables into r, we have

r = √[(16/2)² + 4²]

r = √[8² + 4²]

r = 4√[2² + 1²]

r = 4√[4 + 1]

r = 4√5 cm

r = 8.94 cm  

b. We know that the length of a chord L = 2rsin(θ/2) where r is the radius of the circle, and θ is the angle subtended by the chord AB.

Since L = 2rsin(θ/2)    and L = AB = 16 cm,

L/2r = sin(θ/2)

taking sine inverse of both sides, we have

θ/2 = sin⁻¹(L/2r)

multiplying both sides by 2, we have

θ = 2sin⁻¹(L/2r)        

substituting the values of the variables, we have

θ = 2sin⁻¹[16/(2 × 8.94)]

θ = 2sin⁻¹[16/17.88]

θ = 2sin⁻¹[0.8949]

θ = 2 × 63.49°

θ = 126.98°

θ ≅ 127°

c. The area of a segment A is given by

A = (θπ/360 - sinθ)r²/2 where θ is the angle subtended by the segment and r = radius of the circle

since θ ≅ 127° and r = 4√5 cm, substituting these values into A, we have

A = (127°π/360 - sin127°)(4√5)²/2

A = (398.93/360 - 0.7988)40

A = (1.1081 - 0.7988)40

A = 0.3093 × 40

A = 12.372 cm²

A ≅ 12.37 cm²


Related Questions

Need help, numbers scare me lol pls help

Answers

Answer:

none are a solution

Step-by-step explanation:

9. 2=2·3             10. 6=2·-1         11.-14=2·-1.5

2=6                     6=-2                  -14=-3

WRONG             WRONG           WRONG

(3,2)                     (-1,6)                  (1.5,-14)

Given equation:y=2x+4

Help me ill give u a thanks!

Answers

Answer:

11. 68.6 mph

12. 5/6 page (0.83)

Step-by-step explanation:

You simply divide them (remember the word "per" means divide).

[tex]\dfrac{120}{1 \frac34} \approx 68.6[/tex]

[tex]\dfrac{8 \frac13}{10} = \frac56[/tex]

POSSIBLE POIN The value of the expression is (Do without a calculator. Leave your answer as a reduced improper fraction and use "" as your fraction bar.)​

Answers

To find the answer you have to multiply the reciprocal, or just keep, change, and multiply.
The answer is 12/10.
I hope you got a good grade!! ^v^

5) Alex's house (point F) lies on the same street as her school (point H). Alex's bus stop (point G) lies between her
house and her school. Given FG equals (2x) meters, GH = 1,000 meters, and FH equals 1.200 meters, what is z?
Answer:​

Answers

Answer:

100 meters

Step-by-step explanation:

Given the following :

Alex house = F

Alex school = H

Alex bus stop = G

FG = 2x meters

GH = 1000meters

FH = 1200 meters

Hence,

FH = FG + GH

1200 = (2x + 1000) meters

1200 = 2x + 1000

1200 - 1000 = 2x

200 = 2x

x = 100meters

Hence, x = 100 meters

1-8 Homework Exercises Course 2 Mathematics Common Core

Answers

huh what that’s not enough information

(3x+4) and (2x−3). What is the perimeter of the park?

Answers

Answer: 10x-2

Step-by-step explanation:

I assume this is a rectangular park

Formula for perimeter: 2(l + w)

l= 3x+4

w= 2x-3

--------------------------------------------------------

Use PEMDAS to simplify (basic operation from left to right)

ParenthesesExponentsMultiplication and DivisionAddition and subtraction

 2(l+w)

=2[(3x+4)+(2x-3)]

=2[3x+4+2x-3]

=2[5x-1]

=10x-2

The value of 7 in 17.92 is

Answers

The value of 7 in 17.92 is in the ones place.

Solve one point -x+2=-3x+18

Answers

Answer:

x=8

Step-by-step explanation:

-x+2=-3x+18

=>-x+3x=18-2

=>2x=16

=>x=16/2

=>x=8

The total bill for a restaurant meal includes the cost of the meal, m, a 5% tax on the
food, and a tip, t. The expression representing the total cost is m + 0.05m + t.
Which expression represents the tax paid on the meal?

Answers

Answer:

Hey there!

The tax paid on the meal is represented by 0.05m.

Let me know if this helps :)

Marcus is skiing. He is 869 1/10 get up the mountain. He descends to 450 7/10 feet. What is his change in elevation

Answers

Answer:

418 4/10

Step-by-step explanation:

To answer this we subtract 450 7/10 from 869 1/10.

We must borrow a '1' from 869 1/10:  868 11/10

Now subtract 450 7/10 from 868 11/10:

418 4/10 (CHANGE IN ELEVATION)

This reduces to 418 2/5.

if this figure is reflected across the x-axis, what is the orientation of the reflected figure?

Answers

It would be easy to answer if there was a picture:))))

Can anyone solve this word problem?

Answers

Answer:

Mrs. Davis package is 30 ounces

Step-by-step explanation:

x for ounces

mailbox plus=0.25x+5

united package=0.35x+2

since Mrs.Davis noticed that she is going to pay same price then:

0.25x+5=0.35x+2

5-2=0.35x-0.25x

3=0.10x

x=3/0.10

x=30 ounces

Mrs. Davis package is 30 ounces

check:

0.25x+5=0.25(30)+5= 12.5 dollars

o.35(30)+2=12.5 dollars

Pat and Julie share some money in the ratio 2 : 5 Julie gets $45 more than
Pat. How much money did Pat get? (SHOW WORKING)​

plsssss helppp ​

Answers

Answer:

Pat receives $18.

Step-by-step explanation:

Pats get 18 dollars because he only gets 40 percent of what Julie gets and 40% of 45 is 18.

A family of two adults and three children went to a water park. Admission to the water park costs $18 per person. Nora used the expression 2 (18) + 3 (18) to model the total cost for the family, and Alex used the expression 5 (18). Which property of operations makes both of their expressions correct am so sorry i forgot

Answers

Answer:

communtive property of multiplication

Answer: commutative property ⚡

Step-by-step explanation






What is the value of x in the equation −x = 3 − 4x + 15?

Answers

Answer:

x = 6

Step-by-step explanation:

First of all you should collect like terms

-x = 18 - 4x

Then you should move the variable to the left

-x + 4x = 18

After that you should collect like terms

3x = 18

Finally divide both sides by 3

x = 6

Hope this helps!

Answer:

6

Step-by-step explanation:

what are LOGARITHMS...???​

Answers

Step-by-step explanation:

A logarithm is a mathematical operation that determines how many times a certain number, called the base, is multiplied by itself to reach another number. ... Logarithms even describe how humans instinctively think about numbers.

Answer:

A logarithm tells what exponent (or power) is needed to make a certain number, so logarithms are the inverse (opposite) of exponentiation. Just as an exponential function has three parts, a logarithm has three parts. The three parts of a logarithm are a base, an argument (also called power) and an answer.

Step-by-step explanation:

how many centimeters are in 32 metered

Answers

3200. because 100cm is equal to 1 meter so 32 cm would be equal to 3200

Answer:

3,200

Step-by-step explanation:

A meter is equivalent to 100 centimetres, so if you did 32 x 100, you'd get your answer :)

-5x+11>-4 please solve

Answers

Answer:

if you were solving for X the answer would be x < 3

Step-by-step explanation:

It is known that 2.2< (square root of 5) <2.3. Find all possible values of the expression: 3− (square root of 5) Answer in the format of the picture.

Answers

Answer:

.7<3-square-root 5<.8

Step-by-step explanation:

HELPPP!!
SIMPLIFY!!!
5x²-7y+3x²-8y​

Answers

Answer:

8

x

2

15

y

Step-by-step explanation:

Hope that helps

Given: {(−2, 3), (−1, 2), (0, 2), (−2, 9)}. Is this relation a function? Explain.

Answers

Answer:

No

Step-by-step explanation:

(-1,2) and (0,2) have the same y value. Functions cannot share the same y value

The relationships represents by {(−2, 3), (−1, 2), (0, 2), (−2, 9)} is not function.

Given that,  {(−2, 3), (−1, 2), (0, 2), (−2, 9)}. Is this relation a function is to be specified.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
In the relation  {(−2, 3), (−1, 2), (0, 2), (−2, 9)}
(−2, 3), (−2, 9) are two pairs that show two images of one pre-image that why it is not a  function.

Thus, the relationships represents by {(−2, 3), (−1, 2), (0, 2), (−2, 9)} is not function.

Learn more about function here:

brainly.com/question/21145944

#SPJ2


In the diagram AB Is the perpendicular bisector of PH. Help

Answers

Answer:

1,2 and 5 are your right answers! Please vote Brainliest!

Step-by-step explanation:

Tina learns 2 new appetizer recipes during each week of culinary school. After 19 weeks of culinary school, how many total appetizer recipes will Tina know?

Answers

Answer:

38 recipes

Step-by-step explanation:

1 week=2 recipes

19 week=19×2 recipes

=38 recipes

Plz,marks me as a brainest ok.

The perimeter of a playing field for a certain sport is 334ft. The field is a rectangle, and the length is 47 ft longer than the width. Find the dimensions.

Answers

Answer:

The dimensions of the rectangle = 60ft by 107ft

Where 60 ft = Width of the playing field

107ft = Length of the playing field

Step-by-step explanation:

A playing field is Rectangular is shape, hence,

The formula for Perimeter of a rectangle = 2(L + W)

P = 334 ft

L = 47 + W

W = W

Hence we input these values in the formula and we have:

334 = 2(47 + W + W)

334 = 2(47 + 2W)

334 = 94 + 4W

334 - 94 = 4W

240 = 4W

W = 240/4

W = 60

There fore, the width of this playing field = 60 ft

The length of this rectangle is calculated as:

47 + W

47 + 60

= 107 ft

The length of this playing field = 107ft

Therefore the dimensions of the rectangle = 60ft by 107ft

Let f(x) = 3x² - x, find f(-3) *

Answers

Answer:

30

Step-by-step explanation:

if f(x)=3x^2 - x then,

f(-3)=3*-3^2 -(-3)

=3*9 +3

=27+3

=30

So, The value of f(-3) is 30

Hope Thiswill be helpful for you.

if
a+1/a=4-root15 find a^2 +1/a^2​

Answers

62 is the correct answer of this question

62 if what I got for this

Last year, Kenia got a 350 on her 6th Grade Math EOG. This year Kenia earned a 399, which was a high enough score to make a Level 4. What was the percent of increase in Kenia's score?

Answers

Answer:

14%

Step-by-step explanation:

Last year's score = 350

This year's score = 399

What was the percent of increase in Kenia's score

Percentage increase= (new score - old score) / old score × 100

= (399-350) / 350 × 100

= 49 / 350 × 100

= 0.14 × 100

= 14%

The percent of increase in Kenia's score is 14%

Find the distance between each pair of points.
U(1,3), B(4,6)​

Answers

Answer:

3√2units or 4.24 units

Step-by-step explanation:

using the formula √∆x^2+∆y^2

√3^2+3^2

√18

= 3√2 or 4.24 units

AC−⇀− bisects ∠BAD.If m∠BAC=38°, find the m∠BAD.

Answers

Answer:

180-38=142 the other angle is 142

Step-by-step explanation:

how many pounds are in 5 kg
11.025 pounds
15.435 pounds
15.876 pounds
24.255 pounds​

Answers

Answer:

11.025 pounds are in 5kg

Ur answer is a ur welcome

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