Answer:
18.7
Step-by-step explanation:
The Law of Cosines is
, where c is the unknown side length of a triangle, a and b are the remaining two side lengths, and C is the angle opposite to side c. To answer this question just plug in the known values:

Simplify:



m≈18.665...
When rounded to the nearest tenth, m=18.7
Answer: (3)12 + 6x = 84
Step-by-step explanation:
We know he definitely bought 3 books for $12 each so we immediately put that in the equation. Then we add that to the unknown (6 books times however much he bought them for) and then we equal it to 84 (his budget). Now we do 3 x 12 which is 36. Our new equation is 36 + 6x = 84. 84 - 36 = 48 so we know 6x = 48. Now divide 48 by 6 to get rid of the 6 and we learn that the variable equals 8. So, x = 8. We now know that he bought 6 books at 8 dollars each.
Answer: x=−2,y=3
Step-by-step explanation:
Hope this helps you! Have a good day!
The area of the circle is 18
Answer:
524cm^2
Step-by-step explanation:
Formula for Volume of sphere= 4/3 πr^2
We have,
r=5cm
Now,
Volume(v)=4/3 πr^2 = 4/3π 5^3= 4/3π 125 = 166.666666667π = 523.598775599
Rounding to the nearest tenth,
Volume=524cm^2