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.
The first step for absolute value equations is to isolate the expression contained within the absolute value bars:
3|2x+4|-1 = 11
3|2x+4| = 12
|2x+4| = 4
so |2x+4| is 4 units away from 0 on a number line, but we don't know in which direction -- negative or positive? you'll have two answers.
2x+4 = 4
AND
2x+4 = -4
solve both of those two step equations and you'll get
x = 0
AND
x = -4
so 0 and -4 are your solutions.
Answer:
sorry foe being late
Step-by-step explanation:
Answer:
1+6y= "7y=7"
1+5y= "6y=4"
Step-by-step explanation:
X represents "1" so you replace your "X" with "1" and solve the equation.
I'm going to assume that the ' 7.51 ' is the angle expressed in radians.
So this is just like any other unit conversion exercise.
You know that 180 degrees = pi radians.
Divide each side by pi radians, and you have
180 degrees / pi radians = 1 .
Great ! Now take the angle you have ... 7.51 radians ...
and multiply it by ' 1 '.
(7.51 radians) x (180 degrees / pi radians) =
<em> </em> (7.51 x 180 / pi) degrees =<em> 430.29 degrees</em>
As you ( I ) worked through this problem, a very useful number
fell out . . . It's 180/pi = 57.296 , or just <em>57.3</em> is close enough.
Here's how you can use that number:
-- 1 radian = <u>57.3</u> degrees
-- 1 degree = 1/57.3 of a radian
-- Got some radians ? Multiply by <u>57.3</u> to get degrees.
-- Got some degrees ? Divide by <u>57.3</u> to get radians.