Mathematics High School

please help asap!

the problem is in the picture

Please Help Asap!the Problem Is In The Picture

Answers

Answer 1

Given:

[tex]AB=6\ BC=r,\ CD=r,\ AD=12[/tex].

To find:

The value of r.

Solution:

We have,

[tex]AB=6\ BC=r,\ CD=r,\ AD=12[/tex].

We know that the radius is perpendicular to the tangent at the point of tangency

AD is the tangent and CD is the radius. So, CD is perpendicular to AD at point D, i.e., [tex]m\angle D=90^\circ[/tex].

Using Pythagoras theorem, we get

[tex]AC^2=AD^2+CD^2[/tex]

[tex](6+r)^2=12^2+r^2[/tex]

[tex]36+12r+r^2=144+r^2[/tex]

[tex]12r=144+r^2-36-r^2[/tex]

On further simplification, we get

[tex]12r=108[/tex]

[tex]r=\dfrac{108}{12}[/tex]

[tex]r=9[/tex]

Therefore, the value of r is 9.

Related Questions

PLEASE HELP!!! 20 pts and BRAINLY if you show steps

Amanda graphed line m and line n on a coordinate plane, as shown below.

Which of the following statements is true?
A. The slope of line m is greater then the slope of line n
B. The slope of line n is greater than the slope of line m
C. The x-intercept of line m is greater then the x -intercept of line n
D. The y-intercept of line n is greater then the y -intercept of line m.

Answers

Answer:

B

Step-by-step explanation:

To find the slope of the line, we do y2-y1/x2-x1. In this case, for line n, I used the points (0,0) and (1,2). This means the slope will be 2-0/1-0. Simplify this to get 2/1 or 2. Therefore the slope for line n is 2.

To find the slope of the line, we do y2-y1/x2-x1. In this case, for line m, I used the points (0,7) and (1,8). This means the slope will be 8-7/1-0. This will make the slope 1/1 or 1. Therefore, the slope for m is 1.

Therefore, the slope for line n is greater than the slope of line m.

If this helps please mark as brainliest

Find lawn area in m^2

Answers

Answer:

area of lawn = 15.708 square meters

Step-by-step explanation:

pi 3 squared (area of lawn and flower bed) - pi 2 squared (area of flower bed)= area of lawn

In a pack of pretzel sticks, one-quarter of the total number of pretzel sticks is 14.
how many are in the bag

Answers

Answer:

6 lol have  a good day

Answer:

I got 56.

Step-by-step explanation:

Well if 1/4 of the bag is 14, then multiply it by 4. Sorry if this is wrong!

subtracting 9 From A Certain number gives 13 what is the number​

Answers

Answer:

22

Step-by-step explanation:

N-9=13

N-9+9=13+9

N=22

Answer:

the answer for the question is 22

Step-by-step explanation:

as I said,a certain number =x

therefore,x-9=13

x=13+9

x=22

HELP!!! this is graded and no links pls!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

the answer :
c
self explanation

The perimeter of a certain square is 4 yards. Find the area of the square in square feet.

Please someone help

Answers

Step-by-step explanation:

Write what you know

A square has 4 sides

the perimeter is the sum of the length of all 4 sides

so 4yards / 4 sides = 1 yard per side

we also know a square has all equal sides

that means our area formula will be 1 x 1

12 perimeter 16 area

Sally can run 5 km in 25 minutes. At the same rat of speed, how far can she run in 2 hours and five minutes?

Answers

Answer:

25 km

Step-by-step explanation:

[tex]\frac{5}{25} :\frac{y}{125}[/tex]

y · 25 = 5 · 125

25y = 625

25y ÷ 25 = 625 ÷ 25

y = 25

A flag is 100 inches tall and 135 inches long. What is its perimeter?

Answers

Answer:

470inches

Step-by-step explanation:

Given data

Length= 135inches

Width= 100inches

The expression for perimeter is

P=2L+2W

substitute

P= 2*135+ 2* 100

P=270+ 200

P=470inches

Hence the perimeter of the flag is 470inches

List a pair of corresponding angles

Answers

Answer:

2 and 6, 1 and 5, 3 and 7, 4 and 8

Step-by-step explanation:

Any one of those would work

Answer: <1 and <5

Step-by-step explanation:

I need the answer immediately!!!!!!

Answers

Y=-2/3-5 That’s the answer change of y is down 2 change in x is 3 to the right . And the y intercept is -5

which shape has a parallel side choose all the answers

Answers

Answer:

Step-by-step explanation:

it looks like the green four sided one,  has two,   the top and bottom ones, then also the blue four sided one ,  maybe the opposite sides are parallel to each other.  :)  

Little help, please thank you

Answers

Answer:

Finding volume:

2^2 = 4

4 x 3.14 = 12.56

12.56  x 8(height) = 100.48

100.48 divided by 3 ( x 1/3 ) =  around 33.49 in3 is your answer.

If the options dont give you 33.49 just go by 33.51 cubic meters.

Sues dad fixed her play table each of the 4 legs took 2 nails how many nails did he use

Answers

Answer:

8 nails

Step-by-step explanation:

because 4x2=8

MATH HELP ASAP TYSM IF YOU PUT A RANDOM ANSWER YOU WILL BE REPORTED JUST GIVE ME THE ASNWER DON"T SHOW YOUR WORK TYSM

Answers

Answer:

11.  A)   207 [tex]yards^2[/tex]

12.  B)  480 [tex]cm^2[/tex]

Step-by-step explanation:

Henry wants to buy a coat that has an original price of $125. During an upcoming sale, the price of the coat will be reduced by 4% each week. Henry plans to wait until the price of the costess than 100 and
uses this inequality to determine w, the number of weeks that he needs to wait to buy the coat
125(0.96)" < 100
How many weeks must Henry wait for the price of the coat to first fall below $100?
AO6
BO5
c.03
DO7

Answers

ANSWER: Here is the link where I answered this question

https://brainly.com/question/23634590?answering=true&answeringSource=feedPublic%2FhomePage%2F1

In 1999 your Aunt invested $5,000 in a Dow Jones index fund and $5,000 in a S&P 500 index fund. Twenty years later, she is looking to see how much these investments are worth. From 1999 to 2019 the S&P 500 averaged an increase of 5.90% and the Dow Jones averaged 7.03%. What was the total value of these investments in 2019?

Answers

Answer:

10646.5 Total all

Increase Total 646.5

Jim was thinking of a number. Jim doubles it, then adds 19 to get an answer of 70.1. What was the original number?

Answers

Answer:

25.55

Step-by-step explanation:

Let us take the number he thinked of be x .

On doubling it :-

→ N = 2x

On adding 19 :-

→ N = 2x + 19

According to Question :-

→ 2x + 19 = 70.1

→ 2x = 70.1 - 19

→ 2x = 51.1

→ x = 51.1/2

→ x = 25.55

Hence the required answer is 25.55

Sin0=20/29 find tan 0

Answers

Answer:

Step-by-step explanation:

here opposite =20, hypotenuse=29

to find adjacent use formula

a^2+b^2=c^2

20^2+b^2=29^2

400+b^2=841

b^2=841-400

b=[tex]\sqrt{441\\}[/tex]

b=21

tan theta=opposite/adjacent

=20/21

therefore tan theta =20/21

Answer:

D. tanθ = 20/21

Step-by-step explanation:

Remember that sinθ = opposite/hypotenuse. In this case, since sinθ = 20/29, we are going to say that opposite = 20 and hypotenuse = 29.

To solve for the adjacent side, use the Pythagorean theorem, a^2 + b^2 = c^2.

When you plug in your values and solve for the other leg, you'll get 21.

Now that we know that the adjacent side/other leg is equal to 21, we can find tanθ, since it's equal to opposite/adjacent.

Opposite = 20

Adjacent = 21

tanθ = 20/21

Select all expressions equivalent to 8x - 24.
2(2x - 12)
4(2x - 4)
8(x - 3)
2(4x - 12)

Answers

Answer:

8(x-3)

2(4x-24)

Step-by-step explanation:

You are using the distributive property. Multiply the number outside of the parentheses by each number within the parentheses.

In 8(x-3) = 8x - (8×3) = 8x-24

In 2(4x-12) = (2 × 4x) - (2 × 12) = 8x-24

8(x-3) and 2(4x-12).

i need help PLS fr like im dead srs

Answers

Answer:

5/8

Step-by-step explanation:

How many 2/3 of a foot are in 18,491 feet? pls help!!!!!!!!

Answers

Answer:

i round my answer so its 4 but if it wrong its 3

Step-by-step explanation:


Please help!!!!!!!!!!!!!

Answers

Plumber a = 60x
Plumber b = 40+55x
An 8 hour job would cost the same for both plumbers. It would cost $480. Plumber a should be hired for a 5 hour job.

Which equation models this situation? 26 more than a number is 37.​

Answers

Answer:

x+26=37

Step-by-step explanation:

Mayra bought a pair of sneakers. They originally cost $75 but were on sale for 15% how much mony did she save

Answers

Answer: $11.25

Step-by-step explanation:

Since the sneakers were on sale for 15% less, the amount she bought them will be:

= (100% - 15%) × $75

= 85% × $75

= 0.85 × $75

= $63.75

Therefore, the amount she saved will then be:

= $75 - $63.75

= $11.25

She saved $11.25

Write the following number in scientific notation 0.00000407​

Answers

you need to move the decimal so it will be 4.07

Answer:

4.07

Step-by-step explanation:

I am genius

HI PLEASE ANSWER THIS QUESTION FOR ME IM GIVING OUT BRAINLIEST AND 20+ POINTS !! D:

Answers

Answer:

12

Step-by-step explanation:

SOMEONE ANSWER QUICK!!

Steven bought 4 pizzas to share with his family. Together, they ate 2 7/12 pizzas on Friday and another 2/3 of a pizza on Saturday. How much pizza is left??

Answers

Answer:

3/4 pizza is left. If you want an explanation, ask me ;>

Answer:
3/4

Explanation:
You have 4 and you eat 2 7/12. Leaving you 1 5/12. Then you eat 8/12 more leaving you 9/12 which simplifies to 3/4

find the slope between (-3,2) and (-7,-16)

Answers

Answer: The slope between these two is 3.5

Answer:

Solpe=4.5

Step-by-step explanation:

Sorry if I’m wrong, but I think I got it.

So the formula for slope is    y2-y1/x2-x1  

In (-3,-2) )-7,-16),  -3 is x1, -2 is y1, -7 is x2, and -16 is y2.

Now, you need to fill in the formula with these numbers.

-16-2/-7- - 3

-16-2 is -18

-7- - 3 is -4 (two negatives make a positive)

This makes -18/-4. Divide this to get 4.5.

Let me know if you have any questions!! :)

                                       

                                 

For the data that are shown on the graph below, which best describes within which range of x-values extrapolation occurs? On a graph, points are at (0, 15), (1, 17), (3, 18), (4, 20) and (6, 22). x greater-than 6 x less-than 0 and x greater-than 6 x less-than 0 and x greater-than 10 x greater-than-or-equal-to 0 and x less-than-or-equal-to 6 Mark this and return

Answers

Given:

On a graph, points are at (0, 15), (1, 17), (3, 18), (4, 20) and (6, 22).

To find:

The range of x-values extrapolation occurs.

Solution:

Consider the below figure attached with this question.

From the graph or given points it is clear that the x-values are 0, 1, 3, 4, 6.

It means the x-values are from 0 to 6.

So, the range of the x-values is [tex]x\geq 0[/tex] or [tex]x\leq 6[/tex].

The required compound inequality for the range of x-values is [tex]0\leq x\leq 6[/tex].

Therefore, the correct option is D.

Answer:

The answer is B

NEED HELP ASAP PLEASE WILL GIVE BRAINLYEST

Answers

Answer:

a) 1/2

b) 6/100

c)1/4

I'll explain how I got these answers later.

Answer:

Step-by-step explanation:

Total highlighters = 10

A : favourable cases / total cases  = 5/10 = 1/2

B : favourable cases/ total cases * favourable cases/ new total cases

2/10 * 3/9 = 1/5 * 1/3 = 1/15

C : favourable cases/ total cases * favourable cases/ new total cases

5/10 * 4/9 = 1/2 * 4/9 = 4/18

Other Questions
How did food affect the British during World War II What does the top-level domain in a URL indicate?A. the organization or company that owns the websiteB. the organization or company that operates the websiteC. the protocol used to access the website D. the type of website the URL points to The Executive Branch of Georgia is broken up into groups to help enforce laws. What are these groups called? A. State Agencies B. Judicial Courts C. Lieutenant Groups D. Legislative Committees hi i need help with this photo file related to ratios, if you could help me with this that would mean alot, thankyou Why do you think Murphy asked ifsomeone else could shave Jefferson'shead? What do all cells need in order to perform cellular respiration? I know that in anaerobic respiration, oxygen is not needed but I am unsure about the answer to this question. Find the value of x, rounded to the nearest tenth. a) 2.7b) 4c) 3.8d) 2.9 A poll of 250 students found they studied an average of 48 minutes each evening with a standard deviation of 8.4 minutes. Using a 90% confidence interval, what is the maximum error of estimate for the time spent studying? Which of the following phenomena never affects the moon's phase? A The moon's orbit around the earth B. The earth's orbit around the sun The earth's rotation on Its axis D The relative positions of the earth, moon, and sun (20 points) HELP Which of the following is a central nervous system depressant?A. CannabisB. AlcoholC. AmphetamineD. MescalineE. Cocaine What is the equation in vertex form of the quadratic function with a vertex at (-1,-4) that goes through (1,8)? Find the lateral and total for the cone below. leave the answer in terms of pie. Joan the acr, the fifteenth century rebel warrior who was burned at the stake, ____ the authorities order to ___ her beliefs P(G) *FS581072.2414G15HYour answer 1.) What are some of the forms of evidence used to support the theory of Pangaea?2.) Why aren't the planet's continents in the same formation as they may have once been during the time of Pangaea?3.) Why is it important to study the theory of plate tectonics and continental drift? 1. Elizabeth wrote the quadratic function y = -3(x-6). What is the same equation written in standard form? f(x)=3x2-15x-42 f(x)=5x2+50x+125needs to be answered like thisf(x)=3(???)(???)algebra Please help!!!!!!!!!!!!!! Find the area of the figure. The test scores of five students for the first two test of the semester are shown in the table below.