The given formula is a sinusoidal equation. Sinusoidal equations are trigonometric functions involving sine and cosine functions. Graphically, they look like wave patterns having amplitudes and periods. The general form of a sinusoidal equation is
y = A cos(Bx + C) + D
where
A = amplitude
B = frequency
C = shift on starting angle
D = shift of wave on the y-axis
Thus, can pattern out that A=1, B=5, C=0 and D=0 in the given equation. The SI unit of frequency is Hertz (Hz) or 1/second. Hence, the frequency of the function is 5 Hz.
Answer:
y = 6x - 7
Step-by-step explanation:
We can use the equation y = mx + b as a guide to help us solve this problem
The variables are given in the problem, so we just need to replace them with their respective variables, which give us:
y = 6x - 7
Answer:
First option: 27 square units.
Step-by-step explanation:
The formula for calculate the area of a trapezoid is:
Where h is the height, B the larger base and b the smaller base.
Observe the figure of the trapezoid called ABCD. The length of the larger base (AB) is 12 units and the lenght of the smaller base (CD) is 6 units, but the height h is unknown, so you need to find it.
You can observe in the figure that two equal right triangles are formed, whose opposite side is the height "h". If you calculate the opposite side of one of those triangles, you will obtain the height of the trapezoid.
For this, you can use the identity .
Identify the opposite side, the adjacent side and the angle :
Substitute and solve for the height h:
Finally substitute into :