Answer:
97.6 cm³
Step-by-step explanation:
Volume of plastic object :
Volume of cylinder - volume of cone
From. The diagram. :
Radius, r = diameter /2 = 4/2
Volume of cylinder = pi*r²h
V = 22/7 * 2² * 8 = 100.53096 cm³
Volume of cone = 1/3*pi*r²h
V = 1/3 * 22/7 * 2² * 8
V = 2.9321531 cm³
(100.53096 - 2.9321531) cm³
= 97.598 cm³
= 97.6 cm³
Using it's concepts, the domain and the range of the graph are given as follows:
- Domain: all real values except x = -1.
<h3>What are the domain and the range of a function?</h3>
- The domain of a function is the set that contains all the values of the input. In a graph, it is given by the values of x, which is the horizontal axis of the graph.
- The range of a function is the set that contains all the values of the output. In a graph, it is given by the values of y, which is the vertical axis of the graph.
In this graph, have that the function is defined for all values of x except x = -1, and assumes all real values, hence the domain and the range of the graph are given as follows:
- Domain: all real values except x = -1.
More can be learned about the domain and the range of a function at brainly.com/question/10891721
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Answer:
0.128rad/sec
Step-by-step explanation:
Let x represent the between the man and the point on the path
θ = the angle
dx/dt = 4 ft/s
dθ/dt = rate is the searchlight rotating when the man is 15 ft from the point on the path closest to the searchlight
tan θ = x/20 ft
Cross Multiply
20tan θ = x
dx/dt = 20sec² θ dθ/dt
dθ/dt = 1/20 × cos² θ dx/dt
dθ/dt= 1/20 × cos² θ × 4
dθ/dt = 1/5 × cos² θ
Note : cos θ = 4/5
dθ/dt = 1/5 × (4/5)²
dθ/dt = 16/125
dθ/dt = 0.128rad/sec
Answer:
30
Step-by-step explanation:
there are 3 parts to form that 90 degree angle
