Answer:
99 square units
Step-by-step explanation:
We are given;
- a polygon Y whose area is 11 square units
- The scale factor which it was drawn to become polygon Z is 3
We are required to determine the area of polygon Z
We need to know that;
Area scale factor = Square of Linear scale factor
That is;
Area scale factor = 3²
= 9
Hence;
Area of polygon Z = Area of polygon Y × Area scale factor
= 11 square units × 9
= 99 square units
Thus, the area of polygon Z is 99 square units
Answer:
They help the tree reach deep into the sandy soil for nutrients and ground water.
Step-by-step explanation:
The job of a tree's roots is to collect water and nutrients.
A variable cubed D) x³
Quotient of some number and three E) b ÷ 3
Product of an unknown value and three B) 3a
Three less than a variable A) y - 3
Three more than some number C) z + 3
For this case we have that the figure shown is composed of three triangles and a square. By definition, the area of a triangle is given by:

Where:
b: It's the base
h: It's the height
We have 3 triangles, then the sum of their areas will be:

On the other hand, the area of a square is given by:

Where:
l: It's the side of the square
According to the figure we have:

So, the total area is:

Answer:

Answer:
True
Step-by-step explanation:
When a coin is tossed six coins in a row, there are a total of
outcomes.
The possible number of times for a heads are {0, 1, 2, 3, 4, 5, 6}.
Let our random variable, Number of coins that turn up heads be X
X={0, 1, 2, 3, 4, 5, 6}.
The event that X<3 and the event that X>3 cannot occur simultaneously in the same outcome.
In an outcome, its either one of the following happens:
- Number of heads = Number of Tails =3
- Number of heads < Number of Tails
- Number of heads > Number of Tails
- Number of heads cannot be greater than Number of Heads
Therefore, the events that X<3 and X>3 are independent.