Answer:
The unit of measure appropriate is cubic metre or cubic meter (m³)
Step-by-step explanation:
we know that
The volume of a cube is equal to
where b is the length side of the cube
In this problem we have
substitute in the formula of volume
therefore
The unit of measure appropriate is cubic metre (m³)
Recall that a circle of radius 2 centered at the origin has equation
where the positive root gives the top half of the circle in the x-y plane. The definite integral corresponds to the area of the right half of this top half. Since the area of a circle with radius
is
, it follows that the area of a quarter-circle would be
.
You have
, so the definite integral is equal to
.
Another way to verify this is to actually compute the integral. Let
, so that
. Now
Recall the half-angle identity for cosine:
This means the integral is equivalent to
Answer:
Yes
Step-by-step explanation:
Hello There!
Remember the sum of the two shorter sides has to be greater than the largest side in order for it to be a triangle
11+12 must be greater than 13
11+12=23
23>13 therefore the side lengths can form a triangle
99
999
9999
ninety-nine
technically this does not start with nine
