Answer is 60
The angle that is marked with “120” is equal to the one that’s on the opposite corner.
And to find angle P ur gonna need to find 180-120 cuz they’re supplementary angles. (Meaning that they’re equal to 180)
We are given with the following given
dV/dt = 35 m3/min
h = (3/2)D
What is asked is
dr/dt at t = 7 min
The volume of a cone is
V = (1/3)πr²h
From the given
h = (3/2)D
since D = 2r
h = 3r
Subsituting
V = πr³
At t = 7 min, the volume is
V = 35(7)
V = 245
and the radius is
245 = πr³
r = 4.27
Differentiating the volume
dV/dt = 3πr² dr/dt
From the given
dV/dt = 35
Subsituting
35 = 3πr² dr/dt
So,
dr/dt = 0.20 m/s
and
dh/dt = 0.60 m/s
Using shifting concepts, it is found that the correct option is:
- Vertical stretch, horizontal shift left, vertical shift up.
The original function is:
- The original function was multiplied by 2, hence there was a <em>vertical stretch</em> by a factor of 2.
, hence, there was an horizontal shift left.
- 2 was added to the function, hence, there was a <em>vertical shift up.</em>
To learn more about shifting concepts, you can take a look at brainly.com/question/24465194
Answer:9
Step-by-step explanation:
Answer:
No, Noah used the diameter instead of the radius in the calculations.
V = 91.13π
Step-by-step explanation:
Noah is working on a geometry problem that involves finding the volume of a sphere with a diameter of 9 units. His work is shown below.
V = πr3
V = π(9)3
V = π(729)
V = 972π cubic units
Is Noah’s work correct
Volume of a sphere, V = πr³
radius, r = diameter / 2
Diameter = 9 units
r = 9 / 2
= 4.5 units
Volume of a sphere, V = πr³
= π × 4.5³
= π × 91.125
= 91.125π
Approximately 91.13π
V = 91.13π
No, Noah used the diameter instead of the radius in the calculations.
