Answer:
<ACB = 19°
Step-by-step explanation:
<BAD is a peripheral angle, meaning the angle it intersects is twice it. This means that arc AB is 2*19 or 38. Now, <ACB is an inscribed angle because it has a vertex on the circle. An inscribed angle is half the angle it intercepts. This means <ACB is 1/2 arc AB or 19.
The perimeter of plot is 200 m. Denote sides of plot with x and y.

The area of plot is

a)

b) The area is maximal for A'=0


The sides of rectangle are x=50 and y=50. Therefore, the area is maximal if the rectangle is a square.
Answer:
d = 18.02 m
Step-by-step explanation:
Given that,
A rectangular lawn has a diagonal path running across it. The lawn is 10m wide and 15m long.
We need to find the length of the path.
The diagonal of a rectangle can be calculated as follows :

So, the length of the path is 18.02 m.
Answer:
9
Step-by-step explanation:
In order to be continuous everywhere, we only need to satisfy continuity at
. For that to happen, we need to have

By the function's definition,
. Compute the limits:


So we must have
