Find radiuses of circles, if OO1=20cm and 3AK=2BK

Find Radiuses Of Circles, If OO1=20cm And 3AK=2BK

Answers

Answer 1

Answer:

radius of smaller circle on the left =  8 centimetersradius of larger circle on the right =  12 centimeters

=============================================================

Explanation:

The letter O looks very similar to the number zero, so I'm going to use other letters to avoid confusion. For the smaller circle on the left, it'll have center P. The circle on the right will have center Q. See the diagram below.

Based on that, we can say that PQ = 20 cm.

Let x = length of PK

PK + KQ = PQ

KQ = PQ - PK

KQ = 20 - x

We'll keep this in mind for later. I'll refer to this as "Fact 1" when it does come up later.

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

We're given this equation

3AK=2BK

Let's get the numbers to one side and the letters to the other side like so:

3AK=2BK

3AK/BK = 2

AK/BK = 2/3

We'll use this later as well.  I'll refer to this as "Fact 2" when it does come up later.

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

Next, draw a segment from P to A to form triangle PAK (also shown in the diagram below). Do the same for points Q and B to form triangle QBK.

The segments PA and PK are radii of the smaller circle, so PA = PK which leads to triangle PAK being isosceles. Triangle QBK is also isosceles for similar reasoning.

The angles AKP and QKB are vertical angles, so they are congruent.

The facts mentioned so far boil down to the two triangles being similar triangles (use the angle angle method to prove).

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

Now that we know the triangles are similar, we can use a proportion to solve for x.

PK/KQ = AK/KB

PK/KQ = 2/3  .... use fact 2

x/(20-x) = 2/3 .... use fact 1

3x = 2(20-x) .... cross multiply

3x = 40 - 2x

3x+2x = 40

5x = 40

x = 40/5

x = 8

So,

PK = x = 8KQ = 20-x = 20-8 = 12

The radius of the smaller circle on the left is 8 cm.

The radius of the larger circle on the right is 12 cm.

Find Radiuses Of Circles, If OO1=20cm And 3AK=2BK

Related Questions

Help with algebra class please

Answers

Answer:

t=6.8

Step-by-step explanation:

t=2.01[squareroot(L)]

L=11.56

t=2.01[squareroot(11.56)]

t=2.01(3.4)

t=6.834

(round to nearest tenth)

t=6.8

2x2 is what its due in 1 minute

Answers

Answer: 4

Step-by-step explanation: You multiplied 2 and 2 which equals to 4

Answer:

9

Step-by-step explanation:

9 9 9 9 9 9 9 9 9  9 9 9 9 9  9 9 9 9 9 9  9 9 9 9 9  9 9 9 9 9 9 9  9 9 9 9 9

Mrs. Goldstein pours 3 juice boxes into a bowl to make punch each juice box hold 236 ml how much juice it does Mrs.Goldstein pour into the bowl

Answers

708 ml

When each box contains 236 ml of juice and she pours three boxes into the bowl, you need to multiply 236 by 3. After completing the calculation, you would get 708.

Convert 8 fluid ounces into milliliters. Round your answer to the nearest whole number.

Answers

Answer:

236.588 milliliters so the answer is 240

Step-by-step explanation:

for an approximate result, multiply the volume value by 29.574

To prepare for a wedding, Aiden bught 60 candles. He paid $0.37 for each candle. His sister bought 170 candles at a sale where she paid $0.05 less for each candle than Aiden did. How much did Aiden spend on candles, how much did his sister spend on candles, and who spent more on candles (how much more when you answer this question).

Answers

Answer:

Aiden spent $22.20. His sister spent $54.40. His sister spent $32.20 more than Aiden.

Step-by-step explanation:

I need to know the area of this triangle and I would like to have an explanation because I dont know how to do it I know the formula just not how to get the height

Answers

Answer: 69

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

The x coordinate of vertex J and L are same of x= -2, JL // Y axis

Height is the perpendicular segment (KD) from K to JL, KD // X axis

area = JL * KD /2 = ((1 - -5)* (4 - -2)) / 2 = (6 * 6) / 2 = 18


Golf Club Distance (yards) Distance (feet)
9 iron
99
7 iron
120
5 iron
144
3 iron
162
3 wood
174
Driver
192

Answers

Answer:

7 Iron

Step-by-step explanation:

Just smort

how to write into fractional expanded form 65.43

Answers

Answer:

6543/100

Step-by-step explanation:

Multiply both numerator and denominator by 10 for every number after the decimal point

65.43 × 100

1 × 100

=

6543

100

BRAINLIEST IF CORRECT! (pls no links it rlly annoying)

Answers

looking at the picture, the region AB is where the inequality of f(x) overlaps the inequality g(x), so if we pick any point on that blue region AB, then f(x) will be TRUE and g(x) will also be TRUE, lemme narrow it down some, let's pick the point on AB of say (0,0), namely x = 0 and y = 0

let's try the 1st set

0 ⩽ - 2(0) + 3

0 ⩽ 3  <--- is that true? well yes, zero is less or equals, actually less than 3

0 ⩽ 0 + 3

0 ⩽ 3 <--- is that true? yes it's

let's try the 2nd inequalities set with the same values for "x" and "y"

0 ⩾ -2(0) + 3

0 ⩾ 3 <--- is that true? nope, no dice

let's not bother checking the other, since it already gave FALSE

let's try the 3rd inequalities set, same values

0 ⩽ -3(0) + 2

0 ⩽ 2  <--- is that true? yeap

0 ⩽ -(0) + 2

0 ⩽ 2 <---- is that true? yeap

not to bother you with the 4th set one, the 4th one fails and gives FALSE

so we know the 1st and 3rd one give TRUE on for f(x) and g(x), so which one is it?

take a peek at the picture below, notice the rise and run and therefore the slopes for each, g(x) has a slope of 2/2 = 1, and f(x) has a slope of 3/1 = 3, both going downwards, so both are negative, namely -1 and -3.

that means that  g(x) will look like -1x + something, or -x + something.

and means that f(x) will look like -3x + something.

so that means the only set with those slopes will be    [tex]\begin{cases} y\leqslant -3x + 2\\ y \leqslant -x + 2 \end{cases}[/tex]

At the same time of day, a woman who is 78 inches tall casts a 63-inch shadow and her son casts a 21-inch shadow. What is the son's height? *

Answers

Answer:

26in

Step-by-step explanation:

The heights of the people in relation to their shadow lengths are proportional.

78in/63in = x/21in

The child's shadow is 1/3 the length of his mom so his height is 1/3 of hers.

78/3 = 26 in

Answer:

The son is 26 inches tall.

Step-by-step explanation:

[tex]\frac{x}{21} = \frac{78}{63}[/tex]

           

[tex]x= \frac{21x78}{63}[/tex]

21x78= 1638

1638÷63=26

Hope this helps

Sorry if I got it wrong!

At the beginning of year 1, Sam invests $700 at an annual compound interest
rate of 5%. He makes no deposits to or withdrawals from the account.
Which explicit formula can be used to find the account's
beginning of year 4? What is the balance?

Answers

at the beginning of year 4, only 3 years have elapsed, the 4th year hasn't started yet, since it's at the beginning, so at the beginning of year 4 we can say only 4-1 years have elapsed.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$700\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=\textit{elapsed years}\dotfill &3 \end{cases}[/tex]

[tex]A=700\left( 1 + \frac{0.05}{1} \right)^{1\cdot 3}\implies A = 700(1+0.05)^3\implies A(4)=700(1+0.05)^{4-1} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A(n)=700(1+0.05)^{n-1}~\hfill[/tex]

If you have a book to read that is 20 pages, and you have read 15% of the book, how many pages as you read?

Answers

Answer:

3

Step-by-step explanation:

20*.15=3

PLEASE HELP IF YOU ANSWER BOTH I WILL GIVE
1. BRAINLIEST
2. 5 STARS
3. HEARTS

Answers

Answer:

both of your answers are b

Step-by-step explanation:

20. difference means subtract

21. assosiative property has to deal with three numbers while communitive is 2 numbers

A six-sided, fair number cube is rolled 100 times as part of an experiment. The frequency of the roll of the number 3 is 20. Which statement about rolling a 3 is correct?

The theoretical probability is 1/6. The experimental probability is 1/6.
The theoretical probability is 1/5. The experimental probability is 1/6.
The theoretical probability is 1/6. The experimental probability is 1/5.
The theoretical probability is 1/5. The experimental probability is 1/5.

Answers

Answer:

The theoretical probability is 1/6. The experimental probability is 1/5.

Step-by-step explanation:

Answer:

c for lazy goofy peoplee

Step-by-step explanation:

Which one has more kinetic energy water or boiling water

Answers

Answer: 5

Step-by-step explanation:

because idek sorry

Food fryers manufactured by a company that supplies food trucks can fry a
mean of 132.4 pounds of food per hour with a standard deviation of 3.9
pounds per hour. In a given hour, how much food would 99.7% of these fryers
fry?
A. 124.6 pounds per hour to 140.2 pounds per hour
B. 128.5 pounds per hour to 136.3 pounds per hour
C. 120.7 pounds per hour to 144.1 pounds per hour
D. 116.8 pounds per hour to 148.0 pounds per hour

Answers

Answer:

Correct Answer is C. 120.7 pounds per hour to 144.1 pounds per hour.

Step-by-step explanation:

Just took the Quiz <3

1. According to the fundamental theorem of algebra, how many zeros does the function [tex]f(x) = 3x^6 - 7x^5 - 53x^3 - 43x - 34[/tex] have?

2. What are the zeros of [tex]f(x) = 6x^3 + 25x^2 - 24x + 5[/tex]

Answers

Answer:

See below for answers

Step-by-step explanation:

1) The Fundamental Theorem of Algebra states that in an nth-degree polynomial, there are n zeroes at most, including those that are complex. Therefore, there are 6 zeroes in the function since it's a 6th-degree polynomial.

2) Reduce the polynomial and use the Zero Product Property:

[tex]0=6x^3+25x^2-24x+5[/tex]

[tex]0=(6x^2-5x+1)(x+5)[/tex]

[tex]0=(3x-1)(2x-1)(x+5)[/tex]

[tex]x_1=\frac{1}{3},x_2=\frac{1}{2},x_3=-5[/tex]

trIangle ABC was reflated over y-axis. the coordinate of point A are(6,-4). what are the coordinate of A

Answers

Answer:

(-6,-4)

Step-by-step explanation:

Rule for reflection over the y axis (x,y) -----> (-x,y)

Explanation of rule : change the sign of the x value and keep the y value the same.

Applying rule to given coordinate

(6,-4) -----> change the sign of 6 to get -6 and keep -4 as it is -----> (-6,-4)

Refer to the attached image for more validation. Note that x=0 is the y axis

What is the 7th term in the sequence below?

-19, -7, 5, 17, .....
Select one:
a.65
b.29
c.101
d.53

Answers

Answer:

53

Step-by-step explanation:

—19 + 12 = —7

—7 + 12 = 5

5 + 12 = 17

.

.

.

so the n term of the sequence will be: 12n 31

so 7th term will be: 12 × 7 31 = 53

Answer:

d. 53

Step-by-step explanation:

increases 12 units at each step:

17 + 12 = 29

29 +12 = 41

41 + 12 = 53  (7th term)

Hope this helps

need help with math problem give 5 stars and a good rating

Answers

Answer:

B,C,D

Step-by-step explanation:

24ft =288 in A IS FALSE

2 miles = 10560 ft B IS TRUE

1/2 miles = 2640 ft C IS TRUE

0.5 miles = 880 Yds D IS TRUE

0.5 ft = 6 in E IS FALSE

A survey of 600 nurses yielded the following information: 427 were health club members, 325 were smokers, and 245 of the health club members were smokers. How
many of the 600 surveyed nurses were health club members or were smokers?

Answers

The number of surveyed nurses that were health club members or were smokers is 316.

Let the total number of nurses be 600 nursesn(U) = 600Let H be health club members, n(H) = 427Let S be smokers, n(S) = 325

If 245 of the health club members were smokers, then n(HnS) = 245 members.

The number of surveyed nurses that were health club members or were smokers = 600 - [(427 - 325) + (427-245)].

The number of surveyed nurses that were health club members or were smokers = 600 - (102+182) = 600 - 284.

The number of surveyed nurses that were health club members or were smokers is 316.

Learn more on set notation here: https://brainly.com/question/24462379

Need answer please help if you can.​

Answers

Answer:

hello what the answer is B 3 because i knowdis that the answer is correct how i know is because i done it a piece of paper and my answer that i got was B

Step-by-step explanation:

PLEASE HELP WILL GIVE BRAINLIEST AND 30 POINTS!!!!!

This is an assignment in Algebra 1 discussing growth and decay. Specifically car depreciation. Over the years car's prices go down. I basically had to calculate the percentage of how much this car's price dropped. So I calculated what it dropped every year now I need to do every month but I'm not sure how to do that.

First pic: the annual rate
Second pic: my annual rate calculations/percentages
Third pic: what I have so far for the monthly rate but its all wrong because my calculations don't match up but I think it's close

Answers

Answer:

Step-by-step explanation:

If the price is supposed to be dropping with each year, maybe your year/price chart would reflect that. Seems to me that the price rose between 2015 and 2016 and even by 2017 the value was still higher than it was in 2015.

I have no way of knowing how to fix this.

Let's ASSUME that the 2015 price was $71,445 and that the 2016 and 2017 prices are valid.

the decrease between 2015 and 2016 is (71445 - 68640) / 71445 = 0.03926

or 3.926%

the decrease between 2016 and 2017 is (68640 - 65945)/68640 = 0.03926

or 3.926%

so the price each year after new is

p = 71445(1 - 0.03926)ⁿ

or

71445(0.96074)ⁿ

where n is the number of years.

To get the monthly version, we divide the decrease by 12

p = 71445(1 - 0.03926/12)ˣ

or

p = 71445(1 - 0.00327)ˣ

or

p = 71445(0.99673)ˣ

where x is the number of months since new.

This may not be your exact answer, but the same method can be used if you get real numbers.

HELP

HOW AM I MEANT TO ANSWER THIS QUESTION I WOULD ASO LIKE ANSWER.

THX

100 point on the line

Answers

Answer:

2^5, 6^2 ,3^4, 5^3

Step-by-step explanation:

6^2 = 36

3^4 = 81

2^5 = 32

5^3 = 125

Answer:

Step-by-step explanation:

find x and y intercepts of
3x - 2x = 5

Answers

Answer:

x=5

Step-by-step explanation:

there is no y intercept

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\mathbf{3x - 2x = 5}\\\mathbf{\rightarrow 1x = 5}\\\textbf{DIVIDE 1 to BOTH SIDES}\\\mathbf{\rightarrow \dfrac{1x}{1}=\dfrac{5}{1}}\\\textbf{CANCEL out: }\mathbf{\dfrac{1}{1}\textbf{ because it gives you 1}}\\\textbf{KEEP: }\mathbf{\dfrac{5}{1}}\textbf{ because it helps solve for the x-value.}\\\textbf{NEW EQUATION: }\mathbf{x = \dfrac{5}{1}}\\\textbf{SIMPLIFY IT!}\\\mathbf{x = 5}\\\\\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{x = 5}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]

~[tex]\mathbf{Amphitrite1040:)}[/tex]

HELP!! I'm not sure what goes in the blank.

Answers

Answer:

10[tex]sin^{2} ([/tex]β[tex])[/tex]

Step-by-step explanation:

We can find this two ways, first by seeing in the step after it, cosines are canceled out. Since you already have 10[tex]sin^{2} ([/tex]β[tex])[/tex] on the next step, you can assume that (since only the cosines changed and the cosine next ot the blank was removed), the value is 10[tex]sin^{2} ([/tex]β[tex])[/tex].

You can also use double angle formulas from the previous step:

(sin(2β) = 2 sin(β) cos(β))and find that:

5 sin (2β) sin(β) = 5 * (2 sin(β) cos(β)) sin(β)) = (10 sin(β) sin(β)) cos(β) =

10[tex]sin^{2} ([/tex]β[tex])[/tex] cos(β)

But since cos(β) is already present, we can see that the answer is 10[tex]sin^{2} ([/tex]β[tex])[/tex]

Caleb sketched the following diagram on graph paper. He dilated points B and C from center o. B a. What is the scale factor r? Show your work. b. Verify the scale factor with a different set of segments. C.) Which segments are parallel? How do you know? d. Which angles are equal in measure? How do you know? ​

Answers

We cannot answer without the jmage

what is 5y² if y= -1​

Answers

Answer:

5

Step-by-step explanation:

Input all of the numbers and solve:

5×-1×-1

Start by solving -1*-1=1

5*1=5

Answer:

the answer for this question is 5

PLEASE Help!!:
Check for understanding:

Answers

1)   Circumference:  C = D × π = 40 × 3.14 = 125.6

     Area:  [tex]S=r^2.\pi =(\frac{D}{2} )^2.\pi = (\frac{40}{2})^2.3,14=1256\\[/tex]

2)  Perimeter: P = 10.82 +10.82 + 12 + ( 12 . 3,14 )/2 = 52.48 mm

     Area:  [tex]S=\frac{9.12}{2}+(\frac{12}{2} )^2.\pi = 167.04<mm^2>[/tex]

 

    ok done. Thank to me :>

What is the product of the expression below?
4/7

×
5/8

Answers

4/7 x 5/8
Multiply numerators and denominators

= 20 / 56
Simply

= 5 / 14
Other Questions
If there are g girls and b-boys in a room, write an expression for the total number of children in the room. friction always opposes the _____ The frequency table represents the job status of a number of high school students. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 12, 38, 50. The third column is labeled not looking for a job with entries 28, 72, 100. The fourth column is labeled total with entries 40, 110, 150. Which shows the conditional relative frequency table by column? A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.3, nearly equal to 0.33, 1.0. The third column is labeled not looking for job with entries 0.7, nearly equal to 0.65, 1.0. the fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0. A 4-column table with 3 rows titled job status. The first column is blank with entries currently employed, not currently employed, total. The second column is labeled Looking for a job with entries 0.12, 0.38, 050. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.00. The fourth column is labeled total with entries 0.4, 1.1, 1.5. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.24, 0.76, 1.0. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.0. The fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 0.08, nearly equal to 0.25, nearly equal to 0.33. The third column is labeled not looking for a job with entries nearly equal to 0.19, 0.48, nearly equal to 0.67. The f 15. Which of the following statements about slang is true?A. Use slang frequently because it will provide evidence of popular words at the time of your writing.B. You don't need to take your audience or purpose into account when using slangC. Slang represents passing fads, so it should never be used in any type of writingD. Slang often communicates your point correctly, but it's not appropriate for formal writing Why do traffickers traffic human beings? PLEASE HELP ME WITH THIS Which of the following sentences is written in passive voice?A. The referee failed to see the players cheat.B. The beast looked down its prey.C. Carl chopped us some firewood.D. The door was closed by Joe. Compare the value of the following expression with zero. 5a^3b^2/a+b, where a A list of financial statement items for Oriole Company includes the following: accounts receivable $17,500; prepaid insurance $3,250; cash $13,000; supplies $4,750; and debt investments (short-term) $10,250. Required:Prepare the current assets section of the balance sheet listing the items in the proper sequence. SOMEONE PLS HELP ME!!! 5. What problems may arise in the absence of elected people's representatives in the local level? Make a note and present in the class. why do solvents particles flow into the cell when the initial volume is below 50% the company has run up huge1-debts2-plan3-salaries?? Tm x, bit: 2x.(x-1)-3.(x^2-4x)+ x.(x+2)= -3x HELPPPPPPPPP!!!!!!!!!!!!!!!! Quadrilateral RSTU is a parallelogram. What must be the value of x?24510 what angles cover the same rang? what do you call these angles? which planet composed entirely of hydrogen and helium? 1 poirQuestion 1. Jessica has $1,625.00 to purchase a five-year Certificate ofDeposit (CD). In the chart, there are CD rates frombankrate.com. Whatwould the account ending balance be at Synchrony Bank if it iscompounded quarterly? *Use the Compound Interest Formula to calculate the ending balance. A = P(1 + 5)ntNationwideBankNationwide2.01%NoSynchrony Bankall synchrony1.95% If f(x) = [x]-5, what is f(8.6)?O 3O 4O 8O 9 Evaluate the functions