Milo wants to roll epoxy on his garage floor. In order to do this he needs to know the area of his rectangular-shaped garage. Th
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Answer:
Surface area of pyramid with base equilateral triangle is square inches
Step-by-step explanation:
Recall the following result:
The total surface area(S) of a regular pyramid is given by,
...... (1)
Here, p represents the perimeter of the base , the slant height and B the base area of the pyramid.
From the given information:
Side of equilateral triangle = 20 inches
Slant height of the pyramid() = 13 inches.
First find the perimeter and Area of the base pyramid.
Perimeter of equilateral triangle(p) =
=
Area of equilateral triangle(B) =
= square inches.
Substitute the above values in equation (1) as shown below:
square inches
Hence, the surface area of pyramid with base equilateral triangle is square inches.
6. When we multiply two surdic integers, we can leave it into one big surd.
For instance, if we have:
, we can simplify it down to one uniform square root sign, 
.
So, we can say:
, which is a rational root, because the square root of 36 can be converted into an integer, namely 6 and -6.
Hence, it is a rational root.
7. The summation, on the other hand, cannot be simplified any further, so it will stay as irrational. This is because √2 is already an irrational root, and adding it onto a number that is rational will stay as irrational.
8. Once again, the summation cannot be simplified. We can only simplify by factoring like terms. Hence, this must be irrational.
9. Even if it is in fractional notation, √5 can never be a rational number because no two integers when multiplied by itself will give 5. So, even if it is written in fractional form, they cannot be rational if there is an already irrational term in it.
For instance, if we have:
So, we can say:
Hence, it is a rational root.
7. The summation, on the other hand, cannot be simplified any further, so it will stay as irrational. This is because √2 is already an irrational root, and adding it onto a number that is rational will stay as irrational.
8. Once again, the summation cannot be simplified. We can only simplify by factoring like terms. Hence, this must be irrational.
9. Even if it is in fractional notation, √5 can never be a rational number because no two integers when multiplied by itself will give 5. So, even if it is written in fractional form, they cannot be rational if there is an already irrational term in it.