Question

is tangent to circle O at B. What is the length of the radius r? Round to the nearest tenth.

15.4
6.1
1.7
2.9

Answer 1

@jim_thompson5910

Answer 2

@Hero

Answer 3

@mckenzieandjesus, What kind of triangle is ABO?

Answer 4

acute?

Answer 5

wait a right?

Answer 6

If segment AB is tangent to circle O at point B, what does that say about segments AB and OB? Yes, it is a right triangle. Which means what?

Answer 7

its 90 degrees

Answer 8

AB and OB are equal?

Answer 9

Well, you're given two sides of the right triangle and need to find the length of the third side. What rule do we use for this situation?

Answer 10

Pythagorean theorem?

Answer 11

a2 + b2 = c2?

Answer 12

Exactly. \(a^2 + b^2 = c^2\)

Answer 13

\[10 ^{2}+11.7 ^{2} = 236 \frac{ 89 }{ 100 }\]

Answer 14

236 89/100^2 = 56116.8721

Answer 15

Actually, you have to find the correct "a", "b" and "c" when using the pythagorean theorem.

Answer 16

how do i do that?

Answer 17

"a" and "b" are always the "legs" of the right triangle. "c" is always the hypotenuse. Sometimes, they give you "a" and "c", but not "b".

Answer 18

10+1.7= 11 7/10

Answer 19

can u help with this one?
Point P is the center of two concentric circles. PQ = 10.5 and PS = 20.9. RS is tangent to the smaller circle and a chord of the larger circle. What is length of RS to the nearest tenth? 36.1
41.4
31.4
41.8

Answer 20

Your work for the problem you originally posted is not correct.

Answer 21

this one?

Answer 22

ya, this one.

Answer 23

i did it wrong? how?

Answer 24

10^2+1.7^2= 102 89/100?

Answer 25

@Hero

Answer 26

I thought you already learned about right triangles. I'm going to say it again.

Sometimes, you're given "c" instead of "b", which means, if you have something like

a = 3
c = 5

then you have to solve for b:

a^2 + b^2 = c^2
3^2 + b^2 = 5^2

b^2 = 5^2 - 3^2
b^2 = 25 - 9
b^2 = 16
b = 4

Answer 27

i got 132.89 how do i make it smaller?

Answer 28

11.5?

Answer 29

10^2+11.5^2= 232 1/4

Answer 30

232.25

Answer 31

still lost.. @Hero

Answer 32

@pooja195

Answer 33

Yes, I can tell. I think I know something that might be useful for you. Try ixl.com

Answer 34

ok..

Answer 35

@jim_thompson5910

Answer 36

i did it in the steps u showed me @Hero

Answer 37

In this case,
a = r
b = 10
c = 11.7

So \(a^2 + b^2 = c^2\) becomes:
\(r^2 + 10^2 = 11.7^2\)

You subtract 10^2 from both sides:
\(r^2 = 11.7^2 - 10^2\)

Then square root both sides to get

\(r = \sqrt{11.7^2 - 10^2} \)

Answer 38

You'll have to finish simplifying \(r\) on your own. I'm not going to do that for you. Just let me know what you get. I'll say whether or not it's right or wrong.

Answer 39

square root 11.7^2-10^2 = 6.073713856?

Answer 40

6.1?

Answer 41

Correct.