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.
180 - 275 = <span>95
</span>Which is... C) 95kg
An easy way to check your answer is right is to add 95 to 180.
180 + 95 = 275
275=275
The answer checks out!
This to numbers are equal
From the given, there are 5 toppings available. If the pizza is to contain only two toppings, that is one of the five toppings and one of either tomato and cheese then, there will be 10 ways to prepare the pizza. Lastly, if we include the pizza with no toppings then, we have 11 types of pizza.