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
vichka [17]
3 years ago
11

BC is tangent to circle A at B and to circle D at C. AB=9, BC=26, and DC=8. Find AD to the nearest tenth.

Mathematics
1 answer:
Ksju [112]3 years ago
3 0
There are two circles with center  A and D. The tangent line touches both point B and C. The given measurements are enough to solve for the missing value and the solution is shown below:
AB=9
BC=26
DC=8
Solve for the measurement of AC which the hypotenuse of legs AB and BC by Pythagorean theorem:
c²=a²+b²
c²=9²+26²
c=AC=27.51
Solve for angle of A 
sin A=26/27.51
A=70.93° 
Finally, we solve for the length of AD using SOH
sin 70.93°=AD/27.51
AD=26
The answer is 26.

You might be interested in
Determine f(-1) if the graph of f(x) is given below.
-BARSIC- [3]

Answer:

f(-1) = -2

Step-by-step explanation:

Given

The attached graph

Required

f(-1)

This is the point where

x = -1

On the attached graph;

f(x) = -2 when x = -1

Hence:

f(-1) = -2

8 0
2 years ago
What is the percent of decrease of 90 to 72
vodomira [7]
You lose 20%.
 
if it were going up to 72 to 90 it would be a 25% increase
4 0
2 years ago
Read 2 more answers
A machine shop produces metal frames on two different machines. The average daily production on machine 1 is 300 frames, and the
statuscvo [17]

Answer:

The daily shop productivity is 480 frames

Step-by-step explanation:

The daily machine productivity refers to the TOTAL production made in a day.

The problem says that a shop produces metal on two different machines. It means that you must take into account the daily production of each one for finding the total production.

The first machine produces 300 frames in a day.

The second machine produces 180 frames in a day too.

So, if the first and the second machines are working together in a single day, the TOTAL daily production is the sum of the production of each one.

production=300+180=480

Thus, the daily shop productivity is 480 frames

4 0
3 years ago
HELP ASAP DUE IN 20 MINUTES
IrinaK [193]

Answer:

x = 3

< D = 26

< E = 54

Step-by-step explanation:

I did the math

8 0
3 years ago
Linear equation topic. (Lisa is 5 years younger than his elder brother,Daniel.The product of their ages is 2/3 of their grandmot
alisha [4.7K]
Let Daniel's age be 'x' years , hence, Lisa's age is (x - 5) years. Let Grandma's age be 'y' = 54 years.
Hence,
x(x - 5) = 2/3 × y
x² - 5x = 2 × 54 years / 3
x² - 5x = 36 years
x² - 5x - 36 = 0
∆ = (-5)² - 4(1)(-36) = 25 + 144 = 169
√∆ = √169 = 13
x\:  =  \:  \frac{ - b \:   \frac{ + }{ }   \:  \sqrt{ {b}^{2}  \:  -  \: 4ac} }{2a}
x1 = (5+13)/2, x2 = (5-13)/2
x1 = 9, x2 = -4
Since, age can't be negative,
Daniel's age = x = 9 years.
7 0
3 years ago
Other questions:
  • How to find path length difference between parallel lines?
    8·1 answer
  • You would like to help your political party succeed at the local level, so you join the party's efforts by working as a
    9·2 answers
  • How many full bags of 300g each can i fill with 2.85kg of lentils ?​
    10·2 answers
  • What is 78.6 in word form
    6·2 answers
  • Using Accuracy and Precision Avani is building a rectangular play area. The length of the play area is 7.5 meters. The width of
    10·1 answer
  • It’s a simple algebra question please answer the picture
    15·1 answer
  • How to find the zeros of f(x)=-2x^2+8x
    9·1 answer
  • Add -4 + (-15). plz hurry................
    5·2 answers
  • Round your answer to the nearest hundredth LA
    13·1 answer
  • Nick and Adam workout together. Nick weighs 160 pounds and is gaining about 3 pounds per week. Adam weighs 195 pounds and is los
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!