The drawbridge will be at an incline of 10.56 degrees. That is 5.56 degrees more than it's initial incline of 5 degrees.
If you draw a picture of this situation, you will see that you can write a sine ratio with the 11 and 60 (opposite over hypotenuse)
sin(x) = 11/60 Solve the equation for x
x = 10.56
Convert each term in decimal form. This is avoid confusion and for uniformity and ease in comparing the value of each term.
75% is 0.750
1/6 is 0.167
3/8 is 0.375
0.625 is 0.625
From least to greatest, the order is:
0.167 , 0.375 , 0.625 , 0.750
Answer:
The correct option is;
d(t) = 6·cos(π/3·t) + 28
Step-by-step explanation:
The general form of a cosine function is given as follows;
y = A·cos(B·x - C) + D
Where;
A = The amplitude = The distance from the peak to the midline = 1/2×(Maximum - minimum)
The amplitude = 1/2 × (34 - 22) = 6 inches
B = 2·π/P = 2·π/6 = π/3
P = The period = 6 seconds
C/B = The phase shift
D = The midline = Minimum + Amplitude = 22 + 6 = 28 inches
x = The independent variable
Therefore, to model the function of the wave can be given as follows;
d(t) = 6·cos(π/3·t) + 28
12 x 180 is equal to 2160. It would cost $2160
It would be better to buy 12 bars for 10 dollars and the rate would be $1.2. The rate for 5 bars would be $1.25.