Point B is a point of tangency. Find the radius r of ⊙C.

Point B Is A Point Of Tangency. Find The Radius R Of C.

Answers

Answer 1

Since Point B is a point of tangency, there is a right angle being created on the edge of that circle.

This means that the Pythagorean Theorem can be applied to solve for r.

[tex]a^2+b^2=c^2[/tex]

[tex]r^2+24^2=(16+r)^2[/tex]

*A common mistake here is distributing the square to both 16 and r, whereas you should be multiplying 16+r by itself (FOIL).*

[tex]r^2+576=r^2+32r+256[/tex]

The [tex]r^2[/tex]s cancel.

[tex]32r+256=576[/tex]

[tex]32r=320[/tex]

[tex]r=10[/tex]

The radius r of Circle C is 10.

Hope this helps!


Related Questions


Complete the table below to find solutions to the linear equation 4x + y = -40.

Answers

Answer:

(1,-44), (2,-48),(3,-52).......

Step-by-step explanation:

4(1)+y=-40

4+y=-40

y=-40-4

y=-44

(1,-44)

.

.

.

(x,y)

(0,−40)

(2,−48)

(−10,0)

what if i clapped ya moms cheeks?​

Answers

Answer:

If you do you nasty

Smh why would you say thaaaaaat

Answer:

where ya mom at homie :smirk:

Step-by-step explanation:

Look at the shaded shapes drawn on a square grid. The area of the rectangle A is double the area of square b is he correct?

Answers

No it’s not double the area
He is not correct. This is because even if you tried to, two FULL square Bs would be more than rectangle A

Part B: Which of the following statements
accurately describes the shape, center, and
spread of the data?
O A. The range is 9, there is a gap at 94, the
distribution is skewed right, and there is a peak
at 96.
o B. The median is 96, there is a gap at 92, a peak
at 96, and the distribution is symmetrical.
O C. The mode is 96, there are gaps at 92 and 94,
the distribution is skewed left, and 90 and 91
are outliers.
D. The mean is about 95.5, there are no gaps, the
distribution is symmetrical, and 90 is an outlier

Answers

Answer:

c

Step-by-step explanation:

because that would be the wrong one

2,200 people enter an amusement park every hour. How long will it take for 6,000 people to enter the park?

Answers

P= Total # of people who entered the park

t= The time in hours

P=2200t

6600 = 2200t

Divide both sides of the equation by 2200:

3=t

answer : 3 hours

9515 1404 393

Answer:

  2 8/11 hours ≈ 2.73 hours

Step-by-step explanation:

Assuming a constant rate, entries are proportional to time.

  time/people = 1 h/(2200 people) = t/(6000 people)

  t = (1 h)(6000/2200) = 2 8/11 h ≈ 2.73 h

It will take about 2.73 hours for 6000 people to enter.

Please give a solution

Answers

Answer:

x-3<10 is solution and 6y>12 is not a solution

Step-by-step explanation:

The first one is not solution the second one is not solution I think

Enter your answer
24. If you invest $4000 in an account that gains 7% interest each year, how long will it take for there
to be $9000 in the account?
(5 Points)

Answers

Answer:So, since it is continuously, we need to think of PERT

A=P\times e^{rt}

So, we just plug our numbers in to solve for T

8000=4000e^{.07t}\\\ln(8000)=\ln(4000e^{.07t})\\\ln(8000) = \ln(4000) + \ln(e^{.07t})\\\ln(8000)=\ln(4000)+.07t\ln(e)\\\ln(8000)=\ln(4000)+.07t\\\frac{\ln(8000)}{\ln(4000)}=.07t\\\frac{\ln(8000)}{.07\ln(4000)}=t\\ 15.479=t

It will take 15.479 years

Step-by-step explanation:

Which graph represents exponential decay?


Answers

Answer:

1000x4=4000

Step-by-step explanation:

there is no graph

Answer:

C

Step-by-step explanation:

The probability that a seed will germinate is 0.65. Find the probability that a seed selected at a random will not germinate. *

Answers

Answer:

19 3782 832 38= 78043

Step-by-step explanation:

A gallon is equal to 128 oz. Loretta drinks 6.4 oz of milk twice a day. How many days will it take for Loretta to finish a gallon of milk?

Answers

Answer:

Step-by-step explanation:

120/6.4=20

It will take her 20 days

Answer:

10 DAYS

Step-by-step explanation:

Loretta drinks 6.4 oz of milk TWICE a day = 12.8 oz a day. 128 oz is in a gallon of milk, so 128 divided by 12.8 equals 10. Loretta will take 10 DAYS to drink a gallon of milk.

Really need help with this!!!

Answers

Answer:

Around 6.65

Step-by-step explanation:

Alpha is 35•
Beta is 40•
Side is 10ft
Answer is close to 8.92327

alguien que me ayude con esto​

Answers

Answer:

Triangulo: A= h(subindice b)b/2

Cuadrado: A= L×L o A=L^2

Rectangulo: A= b×a

Rombo: A= D×d/2

Romboide: A= b×h

Trapecio: A= (B×b)h/2

Trapezoide: A= b+B/2(h)

will you please help me with this question?​

Answers

Answer:

i can't see it make it more noticeable

The chance of rain is 20%, the chance of it being sunny is 60%, and the chance of it
being sunny and rainy at the same time is 10%. Calculate, the probability that it is
either sunny or rainy.

Answers

Answer:

0.6 = 60% probability that it is either sunny or rainy.

Step-by-step explanation:

We solve this question treating these events as Venn probabilities.

I am going to say that:

Event A: Rain

Event B: Sun

The chance of rain is 20%

This means that [tex]P(A) = 0.2[/tex]

The chance of it being sunny is 60%

This means that [tex]P(B) = 0.6[/tex]

The chance of it being sunny and rainy at the same time is 10%.

This means that [tex]P(A \cap B) = 0.1[/tex]

Calculate, the probability that it is either sunny or rainy.

This is:

[tex]P = P(A) + P(B) - 2P(A \cap B) = 0.2 + 0.6 - 0.2 = 0.6[/tex]

0.6 = 60% probability that it is either sunny or rainy.

Can anyone help!!!! Please!!!?

Answers

I believe it’s 24in2
Explanation: goodluck

Answer:

384

Step-by-step explanation:

A=[tex]6_{2}[/tex]a=6·82=384

3)
2(34 + 12) > 50
This inequality contains a variable, b. Choose ALL numbers that make this inequality true.
A)
16
B)
18
19
D
20
E)
22

Answers

Answer:

a and c

Step-by-step explanation:

What is the volume of this composite solid?
6 m
5 m
12 m
9 m

Answers

the answer is 864 cubic meters

Answer:

864 my brother

Step-by-step explanation:

PLZ HELP EM ASAP PLSSSZZZ

Answers

Answer:

You will need 800 [tex]ft^{3}[/tex] of water to fill the pool.

Step-by-step explanation:

The amount of cubic that we need is equal to the volume of the pool therefore we just have to find the volume of the pool by using the following formula...

Volume = (Length)(Width)(Height/Depth) = (20)(10)(4) = 800

Therefore you will need 800 [tex]ft^{3}[/tex] of water to fill the pool.

What is the slope of the line below? If necessary, enter your answer as a
fraction in lowest terms, using the slash (/) as the fraction bar. Do not enter
your answer as a decimal number or an equation.
(6,6) (1,-4)

Answers

Answer:

Hope this helps! let me know

HELP PLEASE !! .................................................................................................................................................................

Answers

Answer:

15

Step-by-step explanation:

Substitute a and b then

Follow PEMDAS

Hope this helps! :)

15

(a+b)^3-12
(2+1)^3-12
27-12
15

Can anyone help me with this please!!? I’ll mark you brainliest!!

Answers

Answer:

each square is 5". the base is 4x4 squares- so 20 inches square. 20x20= 400sq inches.

the semicircle at the top is 20 inches in diameter, which makes the radius 10 inches.

pi× 10^2= 314.16.

duvide that by 2 to get a semicircle- 157.8

so, the total area is the 400+ 157.8, for a total area of 557.8 square inches

Round 3.656 to the nearest hundredth

Answers

Answer:

3.66

Step-by-step explanation:

You would have to round up the 6 over there in the thousandths, then kinda carry over the 10 to make the 5 a 6 so you would get 3.66

Answer:

3.66

Step-by-step explanation:

Classify the data of the number of customers at a restaurant

Answers

Answer:

we need a picture or screenshot to answer this correctly, but i would think it would be consumer growth per time unit that the graph is based on

Answer:

we would need a question like a picture or some thing else.

3. The table below lists the colored marbles in a bag. Match the theoretical probabilities for drawing a single marble with the correct marble color. Marble Color Number of Marbles blue 12 red 6 yellow 21 black 8 green 11 1. 19% 2. 14% 3. 36% 4. 21% 5. 10% a.red b.black c.green d.red e.yellow​

Answers

Answer:

Blue = 12/58 * 100% = 20.68 = 21%

Red = 6/58 * 100 = 10.34 = 10%

Yellow = 21/58 * 100 = 36.20 = 36%

Black = 8/58 * 100 = 13.79 = 14%

Green = 11/58 * 100 = 18.96 = 19%

Step-by-step explanation:

Given the table :

Marble_color ____ Number of marbles

Blue ___________ 12

Red ___________ 6

Yellow _________ 21

Black __________ 8

Green _________ 11

Theoretical probability % = (number of favorable outcome / number of total possible outcomes)

Total possible outcomes = (12+6+21+8+11) = 58

Blue = 12/58 * 100% = 20.68 = 21%

Red = 6/58 * 100 = 10.34 = 10%

Yellow = 21/58 * 100 = 36.20 = 36%

Black = 8/58 * 100 = 13.79 = 14%

Green = 11/58 * 100 = 18.96 = 19%

Write an equivalent expression. Simplify.3(4x-10)

Answers

Answer:

12x-30 is the answer simplified

Step-by-step explanation

theres no much of a process

Albert has $150 in his bank account. If he plans to add $25 a week, if represents weeks, how long would it take Albert to save $1340. A 32 weeks

B
40 weeks

C
48 weeks

D
60 weeks

Answers

Answer:

C

Step-by-step explanation:

( it think you meant to put 1350 because theres no way to get 1340)

Figure ABCD is a rectangle. Find the
value of x.
С
B
2x + 4
E
7X-1
А
D
x = [?]
PLEASE HELP‼️

Answers

2x+4=7x-1
5x=5
X=1
Thank you

The value of x for the two lengths of the diagonals is 1.

What is a diagonal?

A diagonal in geometry is a line segment that connects two polygonal or polyhedral vertices when they are not on the same edge. Any sloping line is known as a diagonal informally.

Geometry is the area of mathematics that deals with the characteristics of space and the shapes of particular things as well as the interactions between them in space.

Given that the two segment values are 2x + 4 and 7x - 1. The value of x will be calculated as,

2x+4 = 7x-1

5x = 5

x = 1

Hence, the value of x is 1.

To know more about geometry follow

https://brainly.com/question/16967799

#SPJ2

3. Find the length of IH.
U
12
W
V
H
O 2
06
O 12
O 24

Answers

Answer:

0 vault x32 3sqeus 487=8

Step-by-step explanation:

so its 24 of 3 squers

Help me please this is due soon

Answers

Answer: You didn't add like a question or a link sorry..

A shirt boutique purchased 100 new shirts for $1072. The short-sleeved shirts cost $10 each and the long-sleeved shirts cost $12 each. How many short-sleeved shirts were purchased?

Answers

Answer:

one equation would be S+ L=36for the number of shirts sold.

Answer: 64 short-sleeved shirts were purchased.

Step-by-step explanation: (x = short-sleeved shirts. y = long-sleeved shirts.)  

x + y = 100

10x + 12y = 1072

—12(x + y = 100) >>> -12x - 12y = -1200                                                                                                           10x + 12y = 1072 (add the equations and cancel out the 12y)

-2x/-2 (-2 cancels out) = -128/-2   (divide both by -2)

x = 64 shirts purchased for $10 each.   (Hope this helped!)

(vvvThis next part doesn’t answer the question, but I should finish the equation.)

(Plug in 64 for x)>>> 64 + y = 100 (then, subtract 64 from both sides) >>> 64 - 64 = 0 (they cancel out) and 100 - 64 = 36

y = 36 shirts purchased for $12 each.

I really hope this helped! :)

Other Questions
Which of the following was an accomplishment of Julius Chambers?he led the swann case against the charlotte Mecklenburg board of educationhe was a founding member of sncche helped to organize the Wilmington boycotthe was the first African American student to enroll at the all white Harding high What resulted from the panic of 1873? I need help please help me Why cant we send cactuses to Mars a plant that doesnt need much water in a dessert environment Which two details, one from each excerpt, express similar attitudes about the struggle for freedom and justice abroad? There is 1/4 of a birthday cake left over. If 4 friends share it equally, what fraction of the cake will each friend receive? ( test please hurry!) Sal wrote the statement below to represent the inequality 8 n minus 5 less-than 25. Which words should Sal use to complete the verbal statement?The product of 8 and n decreased by 5 is _________________ 25.less thangreater thanless than or equal togreater than or equal to How did the Enlightenment ideas impact the treatment of Jews in Europe? HELP HELP NOWWWW Write an essay in which you explain how Zadie Smith builds an argument to persuade her audience that public libraries are important and should remain open.In your essay, analyze how Smith uses one or more of the features listed in the instructions to the left (or features of your own choice) to strengthen the logic and persuasiveness of her argument. Be sure that your analysis focuses on the most relevant features of the passage.Your essay should not explain whether you agree with Smiths claims, but rather explain how Smith builds an argument to persuade her audience. 9. PART A: Which sentence states a central idea of Plate Tectonics:Moving and Shaking"?AThe most dramatic geologic activity on Earth happens at tectonicboundaries.B The highest mountain system on Earth, the Himalaya, was createdby the movement of tectonic plates.C All of the world's oceans are connected by one mid-ocean ridgesystem.D The grinding of plates at a transform boundary may cause violentearthquakes.b I whats the answer???? Determine the location of the ordered pair (0, 5) who was surpratap shah how are fish adapted in water? write in points I need your help guys.Winter vs summer.As essay , at least 150 words Why cant a computer use source code1.trick question but computers do use source code2.source code is only available as a web app3.source is legacy 4.source code is not 1 or 05. It van, but source code gnrally requires an expensive software license what reaction is 3Pb + 2HPO ----> 3H + 1Pb(PO) * PLEASE HEEEEEELP,WILL GIVE BRAINLIESTAlso can you explain how you got your answer write the relation between horsepower and Watt? EssayIn a food web, energy is transferred from one level to the next. Describe what might happen in an ecosystem if the number of primary producers was dramatically reduced.