Question

the height of a triangle increases at a rate of 3 cm / min while the area increases at a rate of 4 cm ^ 2 / min. At what rate does its base change when the height is 10 cm and the area is 90 cm ^ 2

Answer #1

The height of a triangle is decreasing at a rate of 1 cm/min
while its area is increasing at a rate of 2 cm^2/min.
(a) What is the base of the triangle when its height is 10 cm
and its area is 100 cm^2?
(b) At what rate is the base of the triangle changing when its
height is 10 cm and its area is 100cm^2?

The altitude (height) of a triangle is increasing at a rate of 1
cm/min while the area of the triangle is increasing at a rate of 2
square cm per min. At what rate is the base of the triangle
changing when the altitude is 10 cm and the area is 100 square
cm?

The altitude of a triangle is increasing at a rate of 1 cm/min
while the area of the triangle is increasing at a rate of 2
cm2/min.
At what rate is the base of the triangle changing when the altitude
is 20 cm and the area is 160 cm2?

The
altitude of a triangle is increasing at a rate of 2.5 cm/min
while the area the triangle is increasing at a rate of 2.5 cm² per
minute. At what rate is the base of the triangle changing when the
altitude is 8.5 cm and the area is 94 cm² ?

The altitude (i.e., height) of a triangle is increasing at a
rate of 1.5 cm/minute while the area of the triangle is increasing
at a rate of 2.5 square cm/minute. At what rate is the base of the
triangle changing when the altitude is 11.5 centimeters and the
area is 87 square centimeters?

The altitude of a triangle is increasing at a rate of
1 centimeters/minute while the area of the triangle is increasing
at a rate of 5 square centimeters/minute. At what rate is the base
of the triangle changing when the altitude is 12 centimeters and
the area is 85 square centimeters?
________cm/min

The radius of a circular cylinder is increasing at rate of 3
cm/s while the height is decreasing at a rate of 4 cm/s.
a.) How fast is the surface area of the cylinder changing when
the radius is 11 cm and the height is 7 cm? (use A =2 pi r2 +2 pi
rh )
b.) Based on your work and answer from part (a),is the surface
area increasing or decreasing at the same moment in time? How do...

The radius of a cylinder is increasing at a rate of 3cm/min
while the height is decreasing at a rate of 10cm/min. What is the
rate of change of the volume of the cylinder when the height is
100cm and the radius is 20cm?
Please solve the question step by step

Data Table 2.1
Triangle
Width W (cm)
Height h (cm)
Area of Triangle Wxh (2cm²)
2
1
09.40
3.20
15.04.
2
15.25
1.90
14.49
3
16.60
1.75
14.53
4
16.20
1.85
14.99
5
12.10
2.45
14.82
6
07.90
3.75
14.81
Average area =
14.78
% difference =
55 %
Does the calculation of this table support Kepler's second law?
Explain why or why not.

The base of a triangle is 4 inches more than 3 times the height.
If the area of the triangle is 112 square inches, find the base and
height. A=bh2A=bh2

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