Answer:
Consider the segment on the right.
collinear points
If 3 points A, B, and C are collinear and B is between A and C, then
AB + BC = AC
Step-by-step explanation:
Consider the segment on the right.
collinear points
If 3 points A, B, and C are collinear and B is between A and C, then
AB + BC = AC
Answer:
40percent of 755$
40/100 × 755
=302$
therefore selling proce is 302$
I've attached a plot of the intersection (highlighted in red) between the parabolic cylinder (orange) and the hyperbolic paraboloid (blue).
The arc length can be computed with a line integral, but first we'll need a parameterization for
. This is easy enough to do. First fix any one variable. For convenience, choose
.
Now,
, and
. The intersection is thus parameterized by the vector-valued function
where
. The arc length is computed with the integral
Some rewriting:
Complete the square to get
So in the integral, you can substitute
to get
Next substitute
, so that the integral becomes
This is a fairly standard integral (it even has its own Wiki page, if you're not familiar with the derivation):
So the arc length is
Answer:Area is a measure of how much space there is inside a shape. Calculating the area of a shape or surface can be useful in everyday life – for example you may need to know how much paint to buy to cover a wall or how much grass seed you need to sow a lawn.
This page covers the essentials you need to know in order to understand and calculate the areas of common shapes including squares and rectangles, triangles and circles.
Calculating Area Using the Grid Method
When a shape is drawn on a scaled grid you can find the area by counting the number of grid squares inside the shape.In order to find an area value using the grid method, we need to know the size that a grid square represents.Count the grid squares inside the large square to find its area..
There are 16 small squares so the area of the large square is 16 square centimetres.
In mathematics we abbreviate 'square centimetres' to cm2. The 2 means ‘squared’.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer: The length of the third side is greater than 4 ft and less than 20 ft.
Step-by-step explanation: Given that two sides of a triangle have lengths 8 ft and 12 ft.
We are to describe the possible lengths of the third side.
Let x ft be the length of the third side of the triangle.
We know that
the sum of the lengths of any two sides of a triangle is always greater than the third side.
So, we must have
Also,
and
From inequalities (i), (ii) and (iii), we get
Thus, the length of the third side is greater than 4 ft and less than 20 ft.