Answer: The speed is 22.2 mi/hr and woman is 8° north relative to the surface of the water.
Step-by-step explanation:
Since we have given that
Speed at which woman walks due west = 3 mi/hr
Speed at which ship moving due north = 22 mi/hr
Now it forms "Pythagorus theorem":
So, it becomes,
And the direction of the woman relative to the surface of the water is given by
Hence, the speed is 22.2 mi/hr and woman is 8° north relative to the surface of the water.
Answer:
f(-3) = -2
f(-2.6) = -2
f(0.6) = 2.4
f(4.5) = 8.5
Step-by-step explanation:
(Whole question:
Evaluate the piecewise function for the given values.
Find f(-3), f(-2,6), f(0.6), and f(4.5) for f(x)={ -2 If x ≤ 0 4x. If 0 <x <1. x + 4. If x ≥ 1)
As the piecewise function shows, the function f(x) has the value of -2 for values of x lesser or equal than 0, has the value of 4x if the value of x is between 0 and 1, and has the value of x+4 for values of x greater or equal than 1.
So, for f(-3), the value of x is lesser than 0, so we have that f(-3) = -2
For f(-2.6), the value of x is lesser than 0, so we have that f(-3) = -2
For f(0.6), the value of x is between 0 and 1, so we have that f(0.6) = 4*0.6 = 2.4
For f(4.5), the value of x is greater than 1, so we have that f(4.5) = 4.5 + 4 = 8.5
Answer:
y=3
Step-by-step explanation:
To solve this 2 step equation, we need to get y alone. Lets write out the equation
-2y+16=10
Subtract 16 from both sides
-2y-16+16=10-16
Subtract
-2y=-6
divide both sides by -2
-2y/-2=-6/-2
divide
y=3
Answer:
6509.84 ft to the nearest hundredth.
Step-by-step explanation:
We have a right triangle in which the opposite side is 1479 ft and we need to find the adjacent side:
Tan 12.8 = opposite / adjacent side
tan 12.8 = 1479/ x
x = 1479/tan 12.8
= 6509.84 ft.
Answer:
Step-by-step explanation:
Factoring 
results in
