nadiav28 nadiav28
  • 17-12-2018
  • Mathematics
contestada

ab is tangent to circle o at b. find the length of the radius r fur ab=5 and ao=8.6

Respuesta :

gmany
gmany gmany
  • 28-12-2018

Look at the picture.

We must use the Pythagorean theorem:

[tex]AB^2+OB^2=AO^2\\\\5^2+r^2=8.6^2\\\\25+r^2=73.96\qquad\text{subtract 25 from both sides]\\\\r^2=48.96\to r=\sqrt{48.96}\\\\\boxed{r\approx7}[/tex]

Answer: The radius is equal 7.

Ver imagen gmany
Answer Link

Otras preguntas

Which is not displayed on the graph
Select all the correct answers. Which two European thinkers influenced the Founding Fathers of the United States? King Louis XIV John Locke Napoleon Voltaire
Four students found the mean of the data set 26, 31, 39, 30, 16, 16, 18, 38. Which student found the correct mean? Ashrita's work 26 +31 +39+30+ 16 + 16+ 18+ 3
What is an equation bof the line that is perpendicular to y-4=2(x-6);and passes through the point (-3,-5)
What is the proper order for how a bill passes through a house
I heard a toilet flush and scurried into an empty stall. In this sentence, flush is used as which part of speech?
If f(x) = x2 − x − 12 and g(x) = x2 − 16, find f(x) × g(x).
Which nutrients contain nitrogen in addition to carbon hydrogen, and oxygen? A) vitamins. B) proteins. C) carbohydrates. D) fat
according ti the following map, what are the most common mineral resources found in the united states?​
Find the solution of the system of equations shown on the graph