Answer:
14 mins
Step-by-step explanation:
t = k/r
k = 56
t = 56/r
r = 4
t = 56/4
t = 14 mins
Answer: 12x
Step-by-step explanation: 3x times 4x = 12x
Period of sin wave = 1/2
Period of parent sine function is 2π.
This means the x value of sine function (sin(x)) has to be divided by 4π to get a period of 1/2 because 2π/4π = 1/2
Thus, our function will be of the form:

Maximum Value = 10
Minimum Value = -4
Amplitude of the function = (Maximum Value - Minimum Value)/2
So, amplitude of the function is 7
Thus, the function will be of the form:

The function has a y-intercept other than zero, this means the function will be of the form:

The y-intercept is 3. This means for x=0, y=3. Using the values, we get:
Thus the equation of the sinusoidal function becomes:
answer:
y = 114° and x = 120°
step-by-step explanation:
part A:
- second inner angle: (180°-87°) = 93°
- third inner angle: (180°-30°) = 150°
- fourth, beside y angle: 360° - 150° - 93° - 51° = 66°
- then y = 180° - 66° = 114°
part B:
- there are 6 sides, so inner angle: (6-2)*180 = 720°
- 160° + 123° + 107° + 90° + x + x = 720°
The equation would be x+7x+12x = 100
solving gives x=5
12×5=60
7×35
5+35+60=100
The age/answer is 60