1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sergey [27]
2 years ago
8

Point B is a point of tangency. Find the radius r of OC. А 9 B r n

Mathematics
1 answer:
insens350 [35]2 years ago
3 0

Answer:

Radius, r, is 3.75

Step-by-step explanation:

From the given diagram,

AB = 9

AC = 6 + r

BC = r

Thus applying the Pythagoras theorem, we have;

/AC/^{2} = /AB/^{2} + /BC/^{2}

(6 + r)^{2} = 9^{2} + r^{2}

36 + 12r + r^{2} = 81 + r^{2}

collecting like terms,

12r = 81 - 36

12r = 45

r = \frac{25}{12}

   = 3.75

r = 3.75

The radius is 3.75.

You might be interested in
Simplify the following: (74) (6/4)
pantera1 [17]

Answer:

111

Step-by-step explanation:

Reducing the given expression:

74(6)       37(6)           111

--------- =  ----------  =  ---------- = 111

   4              2                1

7 0
2 years ago
Read 2 more answers
What is 125 x 64 in expanded form
Nat2105 [25]
I think I believe it’s 8000
7 0
3 years ago
in his garden tim plants the seed 2 1/4 inches below the ground after one month the tomato plant has grown a total of 11 1/2 inc
anastassius [24]

Answer:

9 1/4

Step-by-step explanation:

1/2 = 2/4

11 1/2 = 11 2/4

11 2/4 - 2 1/4

11 - 2 = 9

2/4 - 1/4 = 1/4

9 1/4

6 0
2 years ago
Find the coordinates of the vertex of the following parabola algebraically. Write your answer as and x,y point
Likurg_2 [28]

The equation of the parabola in the vertex form is y =  (x - 3)^{2} - 5 with ( 3, -5) is the vertex of the parabola and 1 is the multiplier

In the above question, A parabolic equation is given as follows:

Y = x^2 - 6x + 4

The equation of the parabola in the vertex form is :

y = a (x - h)^{2} + k

Where a is a multiplier in the equation and (h,k) are the coordinates of the vertex

So, in order to obtain this form, we will use the method of completing square :

Y = x^2 - 6x + 4

y = x^{2} - 6x + (9 -9) + 4

y = (x - 3)^{2} + ( -9 + 4)

y =  (x - 3)^{2} - 5

where, ( 3, -5) is the vertex of the parabola and 1 is the multiplier

Hence, The equation of the parabola in the vertex form is y =  (x - 3)^{2} - 5 with ( 3, -5) is the vertex of the parabola and 1 is the multiplier

To learn more about, parabola, here

brainly.com/question/21685473

#SPJ1

8 0
1 year ago
What's the value of x in the equation: 10x-6=5x34
Snowcat [4.5K]

Answer:

8

Step-by-step explanation:

10x-6=5x+34

-5x -5x

5x-6=34

+6 +6

5x=40

---- ----

5 5

x= 8

// have a great day //

8 0
3 years ago
Other questions:
  • There are
    10·1 answer
  • Please help asap 25 pts
    15·1 answer
  • in one day, annie traveled 5 times the sum if the number of hours brian traveled and 2. Together they traveled 20 hours. Find th
    13·1 answer
  • Can someone help and explain
    14·1 answer
  • How do I even do this?
    8·1 answer
  • See geometry question above.
    9·1 answer
  • HELP. I WILL GIVE A BRAINLEST PLSSS
    11·2 answers
  • Solve system of equations by elimination. Show all your steps.
    15·1 answer
  • How many solutions does the systems of equations have in the graph below?
    7·1 answer
  • −9+1/4(8n+16)=1/4(20n+4) help pls
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!