AB is tangent to circle O at B. what is the length of the radius r? Round to the nearest tenth. Look at image attached.

Mathematics

2 answers:

Alexxx [7]3 years ago

4 0

Check the picture below.

kompoz [17]3 years ago

3 0

OAB is a right triangle. Of this triangle, you know the hypothenuse (OA) and the longest leg (AB). You can find the radius, which is the shortest leg, by applying Pitagora.

r (OB) = √OA²-AB² = √9,8²-5² = √96,04-25 = √71,04 ≈ 8,4 (units?)

Answer D

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Law of cosines: a2 = b2 + c2 – 2bccos(A) What is the measure of S to the nearest whole degree? 19° 26° 30° 33°

sertanlavr [38]

We know that
applying the law of cosines
a² = b²+ c² – 2*b*c*cos(A)
cos (A)=[b²+c²-a²]/[2*b*c]
in this problem
a=10
b=17
c=18
so
cos (A)=[17²+18²-10²]/[2*17*18]-----> cos (A)=0.8382
A=arc cos (0.8382)-----> A=33.05°-----> A=33°

the answer is
33 degrees

7 0

3 years ago

Read 2 more answers

Use the identity (x2+y2)2=(x2−y2)2+(2xy)2 to determine the sum of the squares of two numbers if the difference of the squares of

fomenos

Answer:

The sum of the squares of two numbers whose difference of the squares of the numbers is 5 and the product of the numbers is 6 is 169

Step-by-step explanation:

Given : the difference of the squares of the numbers is 5 and the product of the numbers is 6.

We have to find the sum of the squares of two numbers whose difference and product is given using given identity,

$(x^2+y^2)^2=(x^2-y^2)^2+(2xy)^2$