Answer:
The answer is 95.03
Step-by-step explanation
The formula that I used
A=πr^2
Area = π·5.5^2 ≈ 95.03318
Hope that helps :)
Again, nice problem. These are not super easy. You need to imagine the triangles in the figure and relate sides.
For instance: ADC, its hypotenuse is 15
For ABC, it is 20,
so 20/15 is the ratio between both triangles. Now let's choose the side with 'x'
x is one side of ADC, the corresponding side in ABC is 15 (the second longest sides). You need to rotate the triangles, etc ... That's the tricky part :)
So:
20/15 =15/x ----> x = 15*15/20 = 225/20 = 45/4
Which is C
Not sure whether it's too late to help you though!!!!
Also notice that it's kind of a product rule:
x * 20 = 15 * 15
I am sure the book explains a short way of getting to this equation, like sides opposite, blah blah, but what i told you is the reason. You asked for understanding it! Best luck!
12(2w-3)=6w
Distribute
24w-36=6w
Rearrange
18w=36
Divide both sides by 18
W=36/18
Final answer:
W=2
Hope I could help with the work, but give makeitnasty credit for the answer, he got it first :)
Answer:

Step-by-step explanation:
Let the third side of the triangle be
.
We can apply the cosine rule to find
.

We evaluate to obtain;



We take the positive square root of both sides to obtain;

The correct answer is B.