Answer:
x = -2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Let the curve C be the intersection of the cylinder
and the plane
The projection of C on to the x-y plane is the ellipse
To see clearly that this is an ellipse, le us divide through by 16, to get
or
,
We can write the following parametric equations,
for
Since C lies on the plane,
it must satisfy its equation.
Let us make z the subject first,
This implies that,
We can now write the vector equation of C, to obtain,
The length of the curve of the intersection of the cylinder and the plane is now given by,
But
Therefore the length of the curve of the intersection intersection of the cylinder and the plane is 24.0878 units correct to four decimal places.
Answer: 112.72
Step-by-step explanation: We know that the formula for area of a circle is pi*r^2. Now we plug in the values. pi*5.99^2. Next we get rid of the exponent. 5.99*5.99 = 35.8801. Now we have pi*35.8801. Now if you are gonna use actual pi for this your answer would be 112.72065857. Round it to 2 decimal points and you have 112.72 . If you do 35.8801*3.14=112.663514 -> Round this and you have 112.66. So any of them would actually work but I would stick with 112.72.
Answer:
$2,880
Step-by-step explanation:
interest = (principal * rate * time)/100
= (15000 * 3.2 * 6)/ 100
= 2880
Answer:
the fourth answer
Step-by-step explanation:
this is because 6 x 10 is 60, and is you multiply the height by 3 it gives you 3(6) x 10 which can also be written as 18 x 10 which is equal to 180
divide 180 by 60 which will give you 3, this shows you that the growth from the original area to the new area is 3 times, so the ratio is 3:1
