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
Answer:
If you cut along the dotted line and remove the pieces you cut off, fold the sides inward and you get a moving box.
Each dotted line is 2 feet long, and each un-dotted line is also two feet.
Good luck, I hope this helps because honestly I just tried to figure it out for an hour. Lol.
Answer:
Step-by-step explanation:
a=4 b=12
2a+3b=
2*4+3*12=
8+36=
44
a²-b+10=
4²-12+10=
4*4-2=
16-2=
14
(ab)²-(a+b)²=
(4*12)²-(4+12)²=
48²-16²=
(48+16)(48-16)=
64*32=
2048
Answer:
the inverse of the quadratic function
is 
Step-by-step explanation:
We need to find inverse of the quadratic function
Let

Replace x and y

Now, we will solve for y
Adding 3 on both sides


Taking square root on both sides

Now replace y with 

So, the inverse of the quadratic function
is 
Answer: C) 78 in2
Step-by-step explanation:
The polygon is divided into two trapezoids with equal measurements.
Area of a trapezoid:
1
2
(b1 + b2)h
Since the area of the hexagon equals the area of two trapezoids with equal measurements, do not multiply by 1/2.
(b1 + b2)h
(10 + 16)3
26(3)
78 in2