Bob left home, riding his bike at a rate of 10mph to go to the lake. Cheryl, his wife, left 45 minutes ( 0.75 hours) later, driv
1 answer:
Answer:
It takes Cheryl 0.5 hour (or 30 minutes) to catch Bob.
Step-by-step explanation:
<u>Bob:</u>
rate = 10 mph
time = t
distance miles
<u>Cheryl:</u>
rate = 25 mph
time = t - 0.75 hours
distance miles
If Cheryl catchs up to Bob, then their distances are the same:
It takes Cheryl 1.25 - 0.75 = 0.5 hour (or 30 minutes) to catch Bob.
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Option B:
Law of cosine, two sides and the included angle are known.
Solution:
Let us first know the law of cosines and law of sines.
Law of cosine:
If we know the sides a, b and the included angle θ, then we can find the third side c. This is known as the law of cosine.
Law of sine:
The sides of a triangle are to one another in the same ratio as the sines of their opposite angles.
Given ∠P and the sides r, q are known.
<u>To find the value of p:</u>
Option A: Law of cosines, all sides are known.
It is false by the above definition of law of cosine.
Option B: Law of cosine, two sides and the included angle are known.
It is true by the above definition of law of cosine.
Option C: Law of sines, all sides are known.
It is false, because one angle is given in question.
Option D: Law of sines, two angles and the included side are known.
It is false, because two angles are not given.
Option B is the correct answer.
Hence the answer is "Law of cosine, two sides and the included angle are known".