0 students: James and the other two in his class are the only student in the class, so if three leave that’s the whole class leaving.
m < AOB = 90 degrees. Reason:- Triangle ABC is isosceles and AO = AC.
m < BOC = 90 degrres Reason:- Its adjacent to < AOB
m < BOK = 1/2 * m < BOC = 45 degrees Reason: OK bisects <BOC
Therefore m < AOK = m AOB + m < BOK = 90 + 45
= 135 degrees (answer)
Length = X
Width = 5x-3
For perimeter we multiply the dimensions by two.
2(x) + 2(5x-3) = 138
2x + 10x-6 = 138
12x-6 =138
12x=144
144/12 = 12
Length = 12
Width = 5(12) - 3 = 57
Dimensions = 12 x 57
We separate equation by looking at x and y projection separately.
Let us look at the x projection first.
Motion starts with initial velocity
because there is no force acting along the x-axis we don't have any acceleration along the x-axis. Our equation would be:
Now our y equation will be a little bit more complicated. There is gravity working against our projectile and we also have to take into effect the hight from which the projectile is launched.
With all that in mind let us write the equation for y projection:
The term
represents gravity and as you can see it is negative, which means gravity is pulling our projectile down.
There is one more thing we can do. We can express initial velocity
in relation to circular motion used to launch the projectile.
Where r is the length of the letter used to launch the projectile, and
is angular velocity.
If we combine our x and y equations we can get the trajectory of our projectile.
This is the equation of a parabola. If you follow this link(https://www.desmos.com/calculator/vogcuygjhs) it will take to an interactive graph where you can see how trajectory looks like depending on some of the paramaters.
Y=5s+8a+200 is the right answer pretty sure