Given:
Two vectors (u) and (w) and the angle between them θ

the sketch of the vectors will be as shown in the following figure:
As shown, the resultant vector is the blue line segment
The vector R has a magnitude = 60.22
And the angle between u and R = 5.56°
Answer:
5625in²
Step-by-step explanation:
Area of the plate = πr²
625π = πr²
625 = r²
r = √625
r = 25in
If the radius of the plate is tripled, then the new radius will be 3(25) = 75in
New Area = π(75)²
New Area = 5625π in²
If the radius is tripled, the new area of the plate is 5625in²
19. (X+5)-3
20. 2a
21.3b
22. 5y-5
23. 1/2n-15
Start by using trig to find the length of the line LJ
The triangle KJL (big right angled triangle) has been given the following dimensions
Hypotenuse =

The adjacent angle is 30 degrees
Since we have the hypotenuse and the angle we must use the equation
opposite = Sin(angle) x Hypotenuse
Opposite= sin30 x

Opposite=

Therefore line LJ is

Now look at the smaller right angled triangle (LMJ)
Hypotenuse is the line LJ which is

The adjacent angle is 45
Since we have hypotenuse and angle we must use the equation opposite = sin(angle) * h
therefore
x=

* sin45= 4
8x - 23 because you answer them until you have it all simplified