consider X-axis along the east-west direction and north-south direction along Y-axis
A = magnitude of distance traveled by hiker in north-east direction = 30 kilometer
θ = angle of direction of displacement of the hiker relative to x-axis or east direction = 45 degree counterclockwise
A' = component of distance traveled by the hiker along the east direction.
Since the angle is given with the x-axis, the Sin provides the component in Y-direction. hence
Using the equation
A' = A Sinθ
Inserting the values
A' = (30) Sin45
A' = 21.2 km
(fg)(x)= x³ - 7x² - 9x + 8
domain is (-∞,∞)
Given: f(x)= x-8, g(x)= x² +1x - 1
To find (fg)(x) we multiply f(x) and g(x)
(fg)(x) = f(x) * g(x)
(fg)(x)= (x-8) (x²+x-1)
(fg)(x)= x³ + x² - x - 8x² - 8x +8
(fg)(x)= x³ - 7x² - 9x + 8
we know, domain for all cubic function is set of all real numbers
domain is (-∞,∞)
Know more about "functions" here: brainly.com/question/12431044
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Answer:
Yes
Step-by-step explanation:
If you find the value of all the angles, you'll find that both triangles' angles are 50, 35, and 90 degrees.
(all the angles in a triangle add up to 180)
Answer:
324
Step-by-step explanation:
Given:
Find:
First, find f(x):
Now,
Volume = (edge)^3
Volume = (3/4)^3
Volume = (27/64) inches^3
Done.