Answer:
v ≈ 8.5 km/h
Step-by-step explanation:
Since the diameter of the wheel is 3 m the radius will be r = 1.5 m.
Use the radius of the water wheel to find it's circumference C:
[set r = 1.5 m]
⇒ 
⇒ 
m
One revolution of the water wheel corresponds to 
meters so the angular velocity 15 rmp (revolutions per minute) corresponds to:
= 
/min
Using this result, the speed of the river in kilometers per hour will be:
× 
× 
⇒ 
⇒ 
≈ 
km/h
Number eight is congruent
Answer:
54 degrees.
Step-by-step explanation:
So a fun fact is that the exterior angle is equal to the sum of the opposite two interior angles (at least within triangles).
Given this, set these values equal to each other to get the value of a.
d = a + b
2a = (a+10)+44
2a = a + 54
a = 54
The measure of the exterior angle is 54 degrees.
Step-by-step explanation:
the slope is always the factor of x.
in slope intercept form, as well as here in point slope form.
the important thing is that the y term is just brought to a simple positive y form (and not cy with c is different than 1).
and then, what you see on the other side as factor is x is the slope.
here : -7
the other numbers in the equating are irrelevant for the slope. they determine the "offset" of the line from (0, 0).
