If ∠R is given and the values of r and q are given, then explain whether the Law of Sines or the Law of Cosines should be used t
o solve for ∠Q. Law of Sines, two sides and an opposite angle are known Law of Sines, two angles and the included side are known Law of Cosines, all sides are known Law of Cosines, two sides and the included angle are known
1 answer:
Answer:
Law of Sines, two sides and an opposite angle are known
Step-by-step explanation:
We are given <R, which is an opposite angle to side r.
Side q is also given, which has an unknown opposite angle, <Q, of which we are required to find.
Since two sides and an opposite angle are known, The Law of Sines would be applied in solving for <Q.
Thus, the following would be used:
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Answer:
C. 128/3 meters cubed
Step-by-step explanation:
The volume of a cylinder is denoted by: , where r is the radius and h is the height. We know it's equal to 64, so we can set that equal to V:
We know that the sphere and cylinder have the same height and radius. However, the "height" of a sphere is actually the same as its diameter, which is twice its radius. Then, we can replace h in the above equation with 2r:
Now, the volume of a sphere is denoted by: , where r is the radius. From above, we know that
, so we can plug this into the equation:
Thus, the answer is C.