16
NOT TO
SCALE
The dagen sboas a circle, centre O.
AB is a chord of length 12 cm.
Vis the mid-point of 43 and OM = 45 cm
Calculate the radius of the circle.

16NOT TOSCALEThe Dagen Sboas A Circle, Centre O.AB Is A Chord Of Length 12 Cm.Vis The Mid-point Of 43

Answers

Answer 1

7.5cm

lets take point K represent lenght from M to perimeter of circle.

r is radius

KM= r-OM= r-4.5cm

now lets draw line from O to A (OA)

we get triangle.

hypotenuse is OA and it equals r(radius)

ab=12 cm. so another side of the triangle (AM) is 12/2=6cm. and the last side of the triangle is 4.5(OM)

use pythaghorean theorem

squares of sides added = square of hypotenuse

20.25+36=r^2(our hypotenuse is radius)

56.25=r^2

r=√56.25=7.5cm

Answer 2

Answer:

The radius of the circle is 7.5 cm

Step-by-step explanation:

Circles and Lines

The figure provided shows a circle with two prominent features: a chord of length 12 cm and a segment from the center to the midpoint of the chord of length 4.5 cm.

We have attached an image with some additional measures to solve the problem.

Note a right triangle is formed with half the length of the chord (6 cm) and the distance from the center to the chord. We are sure the intersection divides the chord into two equal parts because M is its midpoint.

The radius of the circle is the hypotenuse of the triangle of legs 6 cm and 4.5 cm, thus the radius is:

[tex]r=\sqrt{6^2+4.5^2}[/tex]

[tex]r=\sqrt{36+20.25}[/tex]

[tex]r=\sqrt{56.25}[/tex]

[tex]\boxed{r = 7.5\ cm}[/tex]

The radius of the circle is 7.5 cm


Related Questions

Translate this sentence into an equation. The sum of 18 and Mabel's savings is 49. Use the variable m to represent Mabel's saving

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Answer:

18 + m = 49 or 49 = 18 + m

Step-by-step explanation:

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Charles has 24 marbles. He has 6 more yellow marbles than blue marbles.
Which equation represents this situation.

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Answer:

24 + 6

Step-by-step explanation:

24 = x + (x + 6)
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2 markers fewer than m packs of markers that have 9 markers in each pack

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Answer:

9m-2

Step-by-step explanation:

There are m packs of markers, with 9 markers in each, so you multiply and get 9m. Then it says two markers fewer and that means subtract so it'’s 9m-2

what is the quotient 2 1/5 over negative 1/10​

Answers

Answer:

25

Step-by-step explanation:

Answer:

-22

Step-by-step explanation:

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Jonas received a gift card of 35.00 to use for an online app market to buy applications for his tablet. All applications cost 1.75. Which table represents the relationship between x, the number of apps Jonas can buy, and y, the balance remaining on his gift card

Answers

Answer:

Step-by-step explanation:

The table that represents this would have to be an inverse table where the higher the value of x increases the more the value of y decreases. That is because the more apps that he purchases the more money he spends which therefore decreases his remaining balance. Therefore the following table would represent this situation...

 x                y

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

 1            35.00

 2           33.25

 3            31.50

 4            29.75

 5            28.00

 6            26.25

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Answer:                            

Cool______________________________________________

These points are linear. Find the slope.

Answers

Answer:

5

Step-by-step explanation:

To find the slope of a line, you need to find the [tex]\frac{rise}{run}[/tex] between two points. I will be calculating the slope using the two points (2, 10) and (3, 15).

Slope = [tex]\frac{rise}{run}[/tex]

          = [tex]\frac{15-10}{3-2}[/tex]

          = 5

PLEASEEEEEE HELP ME ITS DUE TODAY Use a proportion to solve each problem.
1. Tara walks a 2 mile route through her neighborhood for
daily exercise. It takes her 30 minutes. At this rate, how far
can Tara walk in 45 minutes?
2. An infant daycare requires 1 teacher for every 4 children.
How many teachers are required for 20 children?
3. To make purple frosting, you start with white frosting.
Then you add 2 drops of red food coloring and 3 drops of
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8. Lisa types 6 pages in 36 minutes. Frank types 5 pages in
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to explain.

Answers

Answer:

3 ; 5 ; 6 ; 40 ; 150 ; 15; 7.5 ; yes

Step-by-step explanation:

Given the questions:

1. Tara walks a 2 mile route through her neighborhood for daily exercise. It takes her 30 minutes. At this rate, how far can Tara walk in 45 minutes?

Speed = distance / time ; 2 / 0.5 = 4 mph

45 minutes = 0.75 hr

Distance = speed * time = 4 * 0.75 = 3 miles

2. An infant daycare requires 1 teacher for every 4 children. How many teachers are required for 20 children?

1 teacher = 4 children

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x = 20/4 = 5

5 teachers

3. To make purple frosting, you start with white frosting. Then you add 2 drops of red food coloring and 3 drops of blue food coloring. If 4 red drops come out with the first squeeze, how many blue drops should you add?

2 drops of red = 3 drops of blue

4 drops of red = x

x = 12 / 2 = 6 drops of blue

4. Arlen delivers 28 newspapers each morning. The route takes him 40 minutes. If his route increases to 35 newspapers, how long will it take him?

40 minutes

6. On a map, 1 inch represents 50 miles. You measure the distance on the map between two towns as 3 inches How many miles apart are the two towns?

1 inch = 50 miles

3 inch = d

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6. Kelsey earns $5 walking her neighbors' dogs twice a week. At this rate, how much should Kelsey cam if she walks the dogs 6 days each week?

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Rate = distance / time = 200 / 3 = 66.667mph

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Lisa's rate :

36 /6 = 6 minutes per page

Frank :

30 /5 = 6 minutes per page

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Answers

Answer:

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Step-by-step explanation:

The measurement interpretation of the division of the expression ¾ ÷ ⅛ will be 6.

What is Algebra?

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The numbers are given below.

¾ and ⅛

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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Answers

It fills 1 box per every 7 mins
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In 7 minutes machine can fill 1 box.

Given that, a machine fills boxes at a constant rate. At the end of 35 minutes, it filled 5 boxes.

What is the constant rate?

A rate of change is constant when the ratio of the output to the input stays the same at any given point in the function. The constant rate of change is also known as the slope. Linear functions will have a constant rate of change.

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Answers

Answer:

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Step-by-step explanation:

I just did this test and D was the right answer.

The graph that best represents Alyssa's speed over time can be determined by using the given data. The correct option is C).

Given :

Alyssa is learning to drive her parents' car.

The following steps can be in order to determine the graph that best represents Alyssa's speed over time:

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Answer:

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Step-by-step explanation:

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Answer:

well if the triangle are both equal comparisons just ones a different size then the unknown hunches of the bigger side would probably be 21 so if u add the 15 + 18 + 21 = 54 I think sorry if I'm wrong tho

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Answers

-1 or option c is correct. Use the given functions to set up and simplify f(−2).
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Answers

Answer:5

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Answer:

5

Step-by-step explanation:

Reggie has 176 pictures of animals. He wants to keep half and then divide the rest equally among four friends. ... How many pictures will each friend get?

Answers

Answer:

each friend will get 22

Step-by-step explanation:

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Answers

Answer:

92, Hope this helps

Step-by-step explanation:

10000-5200= 4800/52 = 92.307 rounded up = 92

The dance team has three cupcake sales a
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Answer:

40,70,90

Step-by-step explanation:

Jenna found out that 15% of the skittles were purple. if there were 60 skittles in the bag, how many were not purple?

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Answer: 0.25

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It is 0.25 it is the correct answer

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Answer:

.

Step-by-step explanation:

Answer:

Step-by-step explanation:

In a production process, the probability of manufacturing a defective rear view mirror for a car is 0.075. Assume that the quality status of any rear view mirror produced in this process is independent of the status of any other rear view mirror. A quality control inspector is to examine rear view mirrors one at a time to obtain three defective mirrors. Determine the probability that the third defective mirror is the 10th mirror examined.

Answers

Answer:

The probability that the 3rd defective mirror is the 10th mirror examined = 0.0088

Step-by-step explanation:

Given that:

Probability of manufacturing a defective mirror = 0.075

To find the probability that the 3rd defective mirror is the 10th mirror examined:

Let X be the random variable that follows a negative Binomial expression.

Then;

[tex]X \sim -ve \ Bin (k = 3 , p = 0.075)\\ \\ P(X=x)= \bigg (^{x-1}_{k-1}\bigg)\times P^k\times (1-P)^{x-k}[/tex]

[tex]= \bigg (^{10-1}_{3-1}\bigg)\times 0.075^3\times (1-0.075)^{10-3}[/tex]

[tex]= \bigg (^9_2\bigg)\times 0.075^3\times (1-0.075)^{7}[/tex]

[tex]= \dfrac{9!}{2!(9-2)!}\times 0.075^3\times (0.925)^{7}[/tex]

[tex]= \dfrac{9*8*7!}{2!(7)!}\times 0.075^3\times (0.925)^{7}[/tex]

= 0.0087999

≅ 0.0088

in her last computer game, Lucy scored 3×10⁷ points. The first time she tried the game, she scored 6×10³ points. How many times as many points is Lucy's last score as her first score?​

Answers

Answer:

u have to drop 18 pionts .

Step-by-step explanation:

Answer:

u have to drop 18 pionts .

Step-by-step explanation:

Please help me....... ​

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2542 t that answer sorrry i cant gsrgb  hgttyprev

Help me find the radius please

Answers

Answer:

The radius is 2.46686837338 or simplified: 2.5.

Step-by-step explanation:

A = 60 so it would be √60/3.14 =2.46686837338

I hope this helps and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

i need help with 4th grade math please.thank you so much.​

Answers

Answer:

1. 42 Legs altogether

2. 7 Cats

3. There is many answers, one of them is their could be 15 people, their is many possible outcomes and that is one of them. :)

Step-by-step explanation:

Hope this helped!!

Answer:

1. 42 legs

2. 7 cats

Step-by-step explanation:

1. 3 x 8 = 24

2 x 4 = 8

5 x 2 = 10

add those and you get 42.

2.

28

4

For a car that gets 21 miles per gallon, how far can it travel on 2/3 gallons?

Answers

Multiply miles per gallon by gallons:

21 x 2/3 = (21x2)/3 = 42/3 = 14

It can travel 14 miles.

I need help :)dndnns

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Answer

ahh nvrm  i got it wrong and did not wanna mess u up it is 6 thats the correct answer

Step-by-step explanation:

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