Answer:
Step-by-step explanation:
it switches the x and y coordinates and places a negative on the new x
P=(x,y)
90° CCW rotation P'(-y,x)
40 mph on the way, 20 mph on the way back.
Answer:
10 units
Step-by-step explanation:
Let us find the volume of Haley's prism and compare it with the volume of Jeremiah's.
The volume of Haley's prism is:
V = 5 * 3 * 4 = 60 cubic units
Jeremiah's prism has twice the volume of Haley's:
V(J) = 2 * 60 = 120 cubic units
This implies that:
120 = 4 * 3 * h
where h = height of prism
=> 120 = 12h
=> h = 120 / 12 = 10 units
Jeremiah's prism is 10 units tall.
Answer:
freak i wish i could help
Step-by-step explanation:
The height of the kite from the ground can be obtained using trigonometry. As the string is 80 meters long, this is treated as the hypotenuse. Taking the sine of the angle would yield us the height of the kite from the ground. This is shown below:
Let: h = height of the kite from the ground
sin 75 = h / 80
h = 80 sin 75
h = 77.27 meters
Therefore, the kite is 77.27 meters from the ground.