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

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!

A scarce gem’s value increases exponentially at 4% per year. If one is worth $5200 this year, when will its value exceed $10000?

Answers

Answer:

92, Hope this helps

Step-by-step explanation:

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

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.

vincent has cut three pieces of rope to complete a science project

Answers

Answer:                            

Cool______________________________________________

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:

Match each multiplication expression with the number of decimal places in its product

Answers

Answer:

Step-by-step explanation:

Digits after the decimal in a number decide the number of decimal places.

If there are 1 digit after the decimal, decimal place will be one decimal place.

Similarly, 2 digits after the decimal, decimal place will be two decimal place.  

1). 4.2(0.938) = 3.9396 (Four decimal places)

2). 0.9(29.3) = 26.37 (Two decimal places)

3). 18(5.75) = 103.50 (Two decimal places)

4). 0.48(12.19) = 5.8512 (Four decimal places)

5). 3.21(2.4) = 7.704 (Three decimal places)

6). 50.7(14.06) = 72.842 (Three decimal places)  

Answer:

The person above me is right.

Step-by-step explanation:

I did it on edge and got it right.

Please help me....... ​

Answers

2542 t that answer sorrry i cant gsrgb  hgttyprev

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)
where x is the number of blue marbles and x+6 is the number of yellow marbles

PLEASE HELP :( I WILL GIVE BRAINLIEST ANYTHING

Answers

Answer:

Incline plane 4

Step-by-step explanation:

please click to go to my question pleaseeeeeeeee https://brainly.com/question/19665659
click click
plz clickkkkkkkkkkkkkkkk\

Answers

Answer:

.

Step-by-step explanation:

Answer:

Step-by-step explanation:

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

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

Alyssa is learning to drive her parents' car.
She increases her speed for 20 seconds.
She slows down for 10 seconds.
She stays approximately the same speed for the next 20 seconds.
She then slows down to a stop for the last 5 seconds.
Select the graph that best represents Alyssa's speed over time.

Answers

Answer:

D

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:

Step 1 - The graph must be plotted between speed vs time.

Step 2 - According to the given data, Alyssa increases her speed for 20 seconds, which means the graph is increasing gradually up to the next 20 seconds.

Step 3 - Now, she slows down for 10 seconds that is, the graph decreases up to the next 10 seconds.

Step 4 - Now, she stays at approximately the same speed for the next 20 seconds that means the graph is constant for up to the next 20 seconds.

Step 5 - Now, she then slows down to a stop for the last 5 seconds that means the graph again decreases for the next 5 seconds.

From the above steps, it can be concluded that option C) is correct.

For more information, refer to the link given below:

https://brainly.com/question/14375099

I need help :)dndnns

Answers

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:

3. Given the equation determine:
f(x)= x² - 4
f(-3)

Answers

Answer:5

Step-by-step explanation: F(-3)=(-3)^2 -4

(-3)^2=9

F(-3)=9-4

F(-3)=5

Answer:

5

Step-by-step explanation:

Literally the last question pls get it right

Answers

-1 or option c is correct. Use the given functions to set up and simplify f(−2).
it’s -1
when you plug in -2 with the exponent it turns to 4
3-(-2)^2
3-4= -1.

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

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

 7            24.50

 8            22.75

and so on...

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:

so you have 176 you divide that by half and you get 88 so then you divide the other 88 by 4 and you get 22 so Reggie kept 88 and all 4 friends each get 22

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

Answers

Answer:

18 + m = 49 or 49 = 18 + m

Step-by-step explanation:

P.S Can I have brainliest?

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
blue food coloring. If 4 red drops come out with the first
squeeze, how many blue drops should you add?
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?
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?
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?
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?
8. Lisa types 6 pages in 36 minutes. Frank types 5 pages in
30 minutes. Do they type at the same rate? Use a proportion
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

x = 20 children

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

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?

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

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

question: select the appropriate linear equation for the trend line
I NEED HELP! <3
A. y = x + 1
B. y = -x -1
C. y = x -1
D. y = -x + 1

Answers

Answer:

y=x+1

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?

Answers

Answer: 0.25

nbbcbfbfbfbdbdbdbfbfbdbdbd

It is 0.25 it is the correct answer

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

Answers

Answer:

25

Step-by-step explanation:

Answer:

-22

Step-by-step explanation:

those 2 1/5 divided by 1/10 = -22

Write a story problem using the measurement interpretation of division for the following ¾ ÷ ⅛

Answers

Answer:

there was 3/4 of a pizza left and gets divided with 8 people

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

Then the division between the numbers 6 and 1/3 will be given by putting a division sign between them. Then we have

⇒ ¾ ÷ ⅛

⇒ (¾) / (⅛)

⇒ (¾) × (⁸/₁)

⇒ 6

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

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Tina's plans to make wooden fences To put heard to triangle art pieces In

How much wood would she need for triangle DFG

Answers

Answer:

54 feet.

Step-by-step explanation:

Consider AB and DF. FD is 3 times the size of AB

So if AC = 7 then DG = 3* 7 = 21

The total Perimeter = 15 + 18 + 21 = 54 feet

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

needs to be done quickly pls.

Answers

Answer:

50 Degrees

Step-by-step explanation:

30 because all triangles equal 180

A machine fills boxes at a constant rate. At the end of 35 minutes, it has filled 5 boxes. Which table represents the relationship between the number of minutes the machine fills boxes and the number of boxes it has filled?

Answers

It fills 1 box per every 7 mins
Hope that helps u:)

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.

Now, in 35 minutes machine has filled 5 boxes.

So, 1 box is filled in 35/5=7 minutes.

Therefore, in 7 minutes machine can fill 1 box.

To learn more about the constant rate visit:

https://brainly.com/question/13659182.

#SPJ2

The dance team has three cupcake sales a
year to raise money. The amount of money
they make is a function of the amount of
people who buy cupcakes. This function is
represented by the three ordered pairs (40,
100), (70, 175) and (90, 225). What is the
domain of this function?
help

Answers

Answer:

40,70,90

Step-by-step explanation:

2 markers fewer than m packs of markers that have 9 markers in each pack

Answers

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

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