Answer:
A and C
Step-by-step explanation:
Since this is not a rational function (with undetermined values in the denominator), but just a normal expression, we can just substitute t with the value toward which the function is approaching. Since this is a continuous function, it doesn't matter from which side it's approaching 0. In this case, let t=0, then sin(4t)=0, cos(4t)=1, then -2 sin^2(4t)+2tcos(4t)=0.
Answer:
Rate in still water = 45 km/h
Rate of the current = 10 km/h.
Step-by-step explanation:
Let the rate of the current be x and rate in still water be y.
So the rate of the boat upstream is y - x and the rate downstream = x + y.
Rate upstream = distance / time
y - x = 105/3 = 35 ...... (1)
Rate downstream:
y + x = 165/3 = 55 .......(2)
Adding (1) + (2):
2y = 90
y = 45 km/h.
Using equation (1):
45 - x = 35
x = 45-35 = 10 km/h.
Answer:
3
Step-by-step explanation:
The equation being used to express the answer is called slope-intercept form.
y = m x + b
m is the slope, b is the y-intercept (where x = 0)
The formula to find slope (m) using two points is called point slope form.
m = (y1 - y2)/(x1 - x2)
Pick two coordinates and plug them in.
m = (1 - 4)/(0 - 1)
m = (-3/-1)
m = 3
Answer:
Step-by-step explanation:
Perimeter of quarter circle = r + r + 
2) d = 2*10 = 20 cm
Perimeter of semicircle = diameter + (1/2) * circumference of circle
3) Perimeter of three-quarter = r + r + (3/4)* circumference of circle
