<u>Answer:</u>
The plane's resultant vector is 890.3 miles, at an angle of 59.5° west of north.
<u>Step-by-step explanation:</u>
• To find the magnitude of the resultant vector, we have to use Pythagoras's theorem:
where:
a ⇒ hypotenuse (= resultant vector = ? mi)
b, c ⇒ the two other sides of the right-angled triangle (= 452 mil North, 767 mi West).
Using the formula:
resultant² = 
⇒ resultant = 
⇒ resultant = 890.3 mi
• To find the direction, we can find the angle (labeled <em>x</em> in diagram) that the resultant makes with the north direction:
⇒ 
⇒ 
∴ The plane's resultant vector is 890.3 miles, at an angle of 59.5° west of north .
Answer:
Step-by-step explanation:
f(t)=9t+114
f(4)=9(4)+114
f(4)=36+114
f(4)=150L
Monday = X
Tuesday = X + 3 (Problem says three more hours than he worked on Monday)
Wednesday = 2x + 1
(Problem says he worked 1 hour more than two times the number of hours on monday)
This side of the equation would be -
X + (X +3) + (2X + 1)
That's monday plus tuesday plus wednesday.
Then you would set up the other side of the equation.
This would be the total number of hours so it would be equal to monday, tuesday and wednesday combined.
2 + (5x)
Two hours more than five times the amount of Monday (X)
Now we put this together to have an equation
X + (X + 3) + (2x+ 1) = 2 + 5x
Now we need to collect like terms
4x + 4 = 2 + 5x
I just simplified the left side of the equation
Now I will subtract 4x from the left side to get all the variables on one side
4 = 2 + x
Now I subtract 2 to get the numbers both on one side
2 = x
So, Colby worked 2 hours on Monday.
Answer: The one that ends in +14
Step-by-step explanation:
