namdh9923 namdh9923
  • 03-05-2018
  • Mathematics
contestada

In the diagram,CD is tangent to the circle, AB = 6 in, and BD = 10 in. Find AD.

Respuesta :

calculista
calculista calculista
  • 15-05-2018
the complete question in the attached figure

we know that
AB=6 in-----> this is the radius of circle
BC=AB-----> 6 in
AC=12 in-------> is the diameter of circle
BD=10 in

in the right triangle BCD
Applying the Pythagoras theorem

BD²=BC²+CD² --------> CD²=BD²-BC²-----> CD²=10²-6²----> CD²=66
CD=√66 in

in the right triangle ACD
AD²=AC²+CD²-----> AD²=12²+(√66)²----> AD²=144+66----> AD²=210
AD=√210 in-----> AD=14.49 in

the answer is
AD is 14.49 in


Ver imagen calculista
Answer Link
Codplais1 Codplais1
  • 19-05-2018
Your answer is B. 14 in.
Ver imagen Codplais1
Answer Link

Otras preguntas

how can you tell the difference between additive comparison and multiplication comparison
Solve the following equation 3m^2=3-8m. Find both values
what type of bond is methane?
How long does interphase last?
Why is India considered a subcontinent
In class 6, 80percent of the children like crisps. 75percent of the children who like crisps also like chocolate. In class 6 what percentage of the children lik
by hw much is the difference of 604 and 406.64 less than thier sum ?
A bank charges $3 each time you use an out of network ATM. at the beginning of the month, you have $1500 in your bank account. you withdrawal $60 from your bank
how are plains formed
Susan invests twice as much money at 7.5% as she does at 6%. If her total interest after a year is $840 how much does she have invested at each rate?