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Step-by-step explanation:
we simply need to get the total distance and the total time and put them into relation, norming it to distance in 1 hour. after all, speed is always an average number over a period of time (even if it is a tiny period of time).
the total distance is
72 + 69 = 141 km
he drove 69 km going 60 km/h.
how much time did he need ?
we need to get the hours out of an expression of km and h.
so, we need to do
69 km × 1/60 km/h = 69 h / 60 = 69 minutes = 1.15 hours =
= 1 h 9 minutes
so, the total time was
48 + 69 = 117 minutes = 117/60 = 1.95 hours
the average speed for the whole trip was then
141 km / 1.95 h = 141/1.95 km / 1 h = 72.30769231... km/h
Answer:
cos57° = x/51
General Formulas and Concepts:
<u>Trigonometry</u>
- [Right Triangles Only] sin∅ = opposite over hypotenuse
- [Right Triangles Only] cos∅ = adjacent over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use trig to solve for the missing side length.
<u>Step 2: Set up ratios</u>
We can choose between the 2 angles and have multiple ratios to solve for <em>x</em>.
sin33° = x/51
cos57° = x/51
Hence, we see that the 1st option would be the correct answer.
60. 1 minute is 1 and 60 is 60. Therefor an hour is 60 times more than 1.