The slope is equivalent to the rise over run. Since the
slope of the bike ramp is ¼, the rise is equivalent to 1 and the run is
equivalent to 4. To get the angle of the bike ramp make with the ground, let us
use the equation tanθ= rise/run.
Therefore, tanθ= ¼.
Θ=tan-1 (1/4)
So the angle of the bike ramp is Θ= 14degrees
Cos( 30 ) = 19√3 / x
√3 / 2 = 19√3 / x
Simplify √3 from both sides
1 / 2 = 19 / x
Multiply both sides by x
1 /2 × x = 19 / x × x
x / 2 = 19
Multiply both sides by 2
x / 2 × 2 = 19 × 2
x = 38
_____________________________
Sin( 30 ) = y / x
1 / 2 = y / 38
Multiply both sides by 38
38 × 1 / 2 = 38 × y / 38
38 / 2 = y
19 = y
y = 19
dividing both sides by -4, we get:
this means, each term is its previous term divided by -4.
now we can construct the sequence as follows:
Answer: the last term is -1/32
Okay so first you want to simplify the given equation (7x+3y)(7x-3y)
in order to do this you multiply the first number of the first equation (7x) with the first number of the second equation (7x) this gives you 49x^2
Now you want to multiply the second number of the first equation (3y) by the second number of the second equation (-3y) this gives you -9y^2
Its as easy as pie!
