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


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Step-by-step explanation:

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Step-by-step explanation:

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(-3)^2=9

F(-3)=9-4

F(-3)=5

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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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Multiply miles per gallon by gallons:

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Step-by-step explanation:

Answer:

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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).

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Answer:

Step-by-step explanation:

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 6            26.25

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Answer:

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Step-by-step explanation:

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Answer:                            

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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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

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

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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Step-by-step explanation:

I did it on edge and got it right.

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can Tara walk in 45 minutes?
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How many teachers are required for 20 children?
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How many miles apart are the two towns?
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7. Jeff drove the first 200 miles of a trip in 3 hours. At this
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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

x = 20 children

x = 20/4 = 5

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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?

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4 drops of red = x

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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

d = 50 * 3 = 150 miles

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?

Twice a week = $5

6 times a week = (6/2) * 5 = $15

7. Jeff drove the first 200 miles of a trip in 3 hours. At this rate, how long will the 500 mile trip take, with no stops?

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time = 500 /66.667 = 7.5 hours

8. Lisa types 6 pages in 36 minutes. Frank types 5 pages in 30 minutes. Do they type at the same rate?

Lisa's rate :

36 /6 = 6 minutes per page

Frank :

30 /5 = 6 minutes per page

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Answers

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Incline plane 4

Step-by-step explanation:

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!

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

Answers

Answer:

24 + 6

Step-by-step explanation:

24 = x + (x + 6)
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