It is a they need 27 canoes.
Answer: 57
Step-by-step explanation:
Considering the period of the cosine function, it is found that it takes 40 seconds for the wheel to complete one turn.
<h3>What is the period of the cosine function?</h3>
The cosine function is defined by:
f(x) = acos(bx + c) + d.
For the period, we have to look at coefficient b, and the period is:
P = 2π/|B|
For this problem, the function is given by:
h(x) = 15 cos(π/20)
Hence B = π/20, and the period is:
P = 2π/|B| = 2π/(π/20) = 2 x 20 = 40 seconds.
Hence it takes 40 seconds for the wheel to complete one turn.
More can be learned about the period of trigonometric functions at brainly.com/question/12502943
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Answer:
D. -12s squared + 11st - 2t squared
Step-by-step explanation:
FOIL:
-3s(4s) - 3s(-t) + 2t(4s) + 2t(-t)
- 12s² + 3st + 8st - 2t²
Simplify.
- 12s² + 11st - 2t²
Answer:
m<4 = 34°
Step-by-step explanation:
m<2 = 34° (given)
m<3 + m<2 = 180° (linear pair)
m<3 + 34° = 180° (substitution)
Subtract 34° from each side
m<3 = 180° - 34°
m<3 = 146°
m<4 + m<3 = 180° (linear pair)
m<4 + 146° = 180° (substitution)
Subtract 146° from each side
m<4 = 180° - 146°
m<4 = 34°
This shows that vertical angles are congruent.
m<2 and m<4 are vertical angles formed when two straight line intersects. They are both of equal measure.
