Answer:
2. given
5. substitution
Step-by-step explanation:
that the perimeter is 12 is simply a given fact. in the same way as the shape of the object is defined as square.
nothing was calculated, this information is simply there at the beginning, is "given" to us.
step 5 simply takes step 3 and substitutes all sides by the same side, as (per definition) all sides in a square are equal. so, every side can stand in for every other side.
Answer: her monthly allowance is $630
Step-by-step explanation:
Let x represent her monthly allowance.
Claire spent $450 of her allowance each month and saved the rest. This means that the amount she saved each month is x - 450
If she increased her spending by 18% her savings would decrease by 30%. The expression for an 18% increase in her spending would be
(18/100 × 450) + 450 = 81 + 450
= 531
The expression for a 30% decrease in her savings would be
(x - 45) - [30/100 × (x - 450)]
= (x - 45) - [0.3(x - 450)]
= (x - 45) - [0.3x - 135]
= x - 45 - 0.3x + 135
= x - 0.3x - 45 + 135
= 0.7x + 90
Therefore,
0.7x + 90 = 531
0.7x = 531 - 90
0.7x = 441
x = 441/0.7
x = $630
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.
Answer:
Hope it helps...........,...,.,..........