Answer:
Step-by-step explanation:
I think the best way is to split up the erasers before you do anything. That would mean there were 20 gift bags in all
If you did that, then each gift bag would contain 2 pencils with 10 left over.
Further 130 pens would divide up into 6 pens in each gift bag with 10 pens left over.
The type of transformation that turns a figure without changing the size or the shape of the figure is called a ROTATION. An example is given in the diagram below. The triangle has been rotated 90° about the origin
Given:
Rolling a fair dice.
To find:
The theoretical probability of rolling a number less than 5.
Solution:
The possible numbers of rolling a dice are 1, 2, 3, 4, 5, 6.
Total outcomes = 6
Numbers less than 5 are 1, 2, 3, 4.
Favorable outcomes = 4
Now, the theoretical probability of rolling a number less than 5 is:



In decimal form, it can be written as:

In percentage form, it can be written as:


Therefore, the theoretical probability of rolling a number less than 5 in the fraction, decimal and percent are
and
respectively.
The domain and range is [-4, 4] and [0, 4]
<h3 /><h3>What is Domain and range?</h3>
The domain of a function is the set of values that we are allowed to plug into our function.
The range of a function is the set of values that the function assumes.
x² + y² = 16
y = √16 - x²
For domain under root should not be negative quantity,
16 - x²≥0
16≥x²
So, x≤4 or x≥4
Thus, the domain is [-4, 4]
Range:
y is maximum at x=0, y=4
y is minimum at x=4, y=0
Thus, range = [0, 4]
Learn more about domain and range here:
brainly.com/question/12751831
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Answer: 
Step-by-step explanation:
For this exercise you need to use the following formula for calculate the area of regular polygon:

Where is "s" the length of any side, "n" is the number of sides.
Int this case you know that it is regular pentagon, which means that it has five sides. Then you can identify that the values of "n" and "s":

Therefore, substituitng values into the formula, you get that the area f the pentagon is:
