Answer:
10 to afford it
Step-by-step explanation:
Answer:
First, let's recall some usefull information:
- cot(x) = 1/tg(x) = cos(x)/sin(x)
- tan(x) = sin(x)/cos(x)
We also know that:
- cos(x - pi/2) = sin(x)
- sin(x - pi/2) = -cos(x)
Now we can use those relationships and get:
cot(x - pi/2) = cos(x - pi/2)/sin(x -pi/2) = sin(x)/-cos(x) = -tan(x)
So we have verified the identity, and explained step by step why the identity is true.
Answer:
The correct option is;
Reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down
Step-by-step explanation:
The given function is f(x) = -0.1·cos(x) - 4
The parent cosine function is cos(x)
Therefore, f(x) = -0.1·cos(x) - 4 can be obtained from the parent cosine function as follows;
The negative sign in the function gives a reflection across the x-axis
The 0.1 factor of the cosine function gives a compression of 0.1
The constant -4, gives a vertical translation 4 units down
Therefore, the correct option is a reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down.
Answer:
3769.92 ft
Step-by-step explanation:
The diameter of the wheel, d= 60 ft
We know the perimeter of the wheel is,
= πd
= 3.1416*60
= 188.496 ft
Wheel travel for 5 minutes. So the wheel travel,
= 5*60
= 300 sec
The wheel rotates in every 15 seconds. So the wheel rotates,
= 300/15
= 20 times
In one rotation, the wheel travels its perimeter. so is 5 minutes it travels,
= 188.496*20
= 3769.92 ft
