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
Alekssandra [29.7K]
3 years ago
7

Please help asap!the problem is in the picture

Mathematics
1 answer:
ladessa [460]3 years ago
8 0

Given:

AB=6\ BC=r,\ CD=r,\ AD=12.

To find:

The value of r.

Solution:

We have,

AB=6\ BC=r,\ CD=r,\ AD=12.

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., m\angle D=90^\circ.

Using Pythagoras theorem, we get

AC^2=AD^2+CD^2

(6+r)^2=12^2+r^2

36+12r+r^2=144+r^2

12r=144+r^2-36-r^2

On further simplification, we get

12r=108

r=\dfrac{108}{12}

r=9

Therefore, the value of r is 9.

You might be interested in
How do you simplify 14/24
Bond [772]

Answer:

7/12

Step-by-step explanation:

Simplification is something we can do if both the numerator and denominator are divisible by the same number.

In 14/24, both numbers are divisible by 2.

So, we divide both the numerator and denominator by 2. We get 7/12.

Therefore 14/24 = 7/12.

7 0
3 years ago
Read 2 more answers
What is 2 2/3 in simplest form
Montano1993 [528]
Mixed fraction: 8/2
6 0
3 years ago
Read 2 more answers
What two numbers multiply to get 42 and add to get 25
Nataly_w [17]
12.5×12.5 will give u 42 an if u add it u will get 25
6 0
3 years ago
A circle with area 3/2pi and central angle of 60 degrees. What is the area of the circle
Anika [276]

Answer:

28.28(simplified from 28.2743338834)

Step-by-step explanation:

area of sector= (center angle/360)*area of circle

we are already given the area of sector as 3/2pi

so

3/2pi=(60/360)*x

(x is area of circle)

3/2pi=4.71238898038

4.71238898038=1/6x

divide both sides by "1/6"

28.2743338834=x

hope this helps!

3 0
3 years ago
When do you carry the high number in vertical multiplication
tangare [24]
When it is greater than 9.

Example


15
x 5
——-

5x5 is 25, so you would leave 5 and carry the 2

2
15
x. 5
——-
5



3 0
3 years ago
Other questions:
  • Evaluate the function below at x=5. Then, enter your solution. f(x)=3(2)^x
    9·1 answer
  • 10) Solve using any method<br> 10x+2y=42<br> 5x+y=20
    14·2 answers
  • i’m order for a graph to be proportional it must cross through the origin. A.true B.false
    14·2 answers
  • Is s the square root 6 rational
    13·1 answer
  • What is x + y = 12 if x = 2y
    10·2 answers
  • Which options could be the next step in simplifying this expression?   (18 + 23) + 7   Choose exactly two answers that are corre
    8·1 answer
  • ~~~15 POINTS~~~<br> Please help me with this question.
    6·1 answer
  • 3x-1/5=x+1/3 solve for x
    6·1 answer
  • Helpppp!!!!!!!!!!!!!??
    15·1 answer
  • Simplify -121<br> O-111<br> O 11<br> O-11<br> O 11
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!