1) subtract 42.5 miles from 68 miles to find the gross change in distance: It is 25.5. Since this is a decrease, write -25.5 miles.
2) divide -25.5 miles by the original distance, 68 miles:
-0.375
3) multiply this by 100% to find the percentage decrease:
-37.5% (answer)
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:
Step-by-step explanation:
3 + 5 +7 +9 + 11 + ....
n = 100
a = 3
d = 5 - 3 = 2
Answer:
b.
24 yd
Step-by-step explanation:
Hi, since we have a right triangle we have to apply the Pythagorean Theorem:, to find the missing side.
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (10 yd) and a and b are the other sides.
Replacing with the values given:
10^2 = 6^2 + b^2
100 = 36+b^2
100-36 = b^2
64 = b^2
√64 = b
b= 8
Now, we can calculate the area:
A =1/2x base x height = 1/2 x 8 x 6 = 24 yd
Feel free to ask for more if needed or if you did not understand something.
Is there a picture along with the question
