The total area of the blades is the area of a triangle multiplied by 4.
We have then:

Where,
b: base of the blades
h: height of the blades
Substituting values we have:

Doing the calculation we have that the area of the blades is given by:

Answer:
The total area of the blades is:

Answer:
In 30 minutes:
The minute hand moves a distance of 25.13 inches
In 20 minutes:
The minute hand moves a distance of 16.76 inches
Step-by-step explanation:
When 60 minutes are completed, the minute hand of the relog makes a complete revolution. The distance s that the minute hand travels when making a complete revolution is:
Where r is the radius of the circumference, and in this case, the radius of the minute hand.
So:

s = 50.27 inches.
In 30 minutes (which is half of 60) the minute hand covers only half a revolution. Then the distance traveled in 30 minutes is
inches
In 20 minutes (which is one third of 60) the minute hand only travels a third of a complete revolution. Then the distance traveled in 20 minutes is
inches
Answer:
The gradient of
is
.
Step-by-step explanation:
Geometrically speaking, the gradient of a curve is the slope of the tangent line at a given point of the curve. From perspective of Differential Calculus, the gradient is the first derivative of the curve. Let
, then the gradient of the curve is:
(1)
The gradient of
is
.
Answer:
Step-by-step explanation:
Explanation:
First, multiply each side of the equation by
2
to eliminate the fraction while keeping the equation balanced:
2
×
A
=
2
×
h
2
(
a
+
b
)
2
A
=
2
×
h
2
(
a
+
b
)
2
A
=
h
(
a
+
b
)
Now, divide each side of the equation by
a
+
b
to solve for
h
while keeping the equation balanced:
2
A
a
+
b
=
h
(
a
+
b
)
a
+
b
2
A
a
+
b
=
h
(
a
+
b
)
a
+
b
2
A
a
+
b
=
h
h
=
2
A
a
+
b