A grass seed company conducts a study to determine the relationship between the density of seeds planted (in pounds per 500 sq f
1 answer:
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Answer:
Step-by-step explanation:
The area of a triangle is given by
where
b is the base
h is the height
Here we have an equilateral triangle, which has the 3 sides of the same length.
Let's call L the length of one side.
We know that the perimeter of the triangle is
p = 9 in
The perimeter is the sum of the three sides, so:
Therefore, we find the length of the side:
Therefore the length is the base of the triangle,
The height can be calculated by considering half triangle: the hypothenuse is equal to L, while one side is equal to half the base (b/2), therefore the height is given by Pythagorean's theorem:
Therefore, the area of the triangle is:
Answer:
Step-by-step explanation:
In order to simplify a radical, we're looking for a perfect square within that number.
Say we have .
We're looking for two numbers, where
1. We can easily find the square root of the first number
2. When we multiply that number by the second, we get 108.
We can experiment with numbers for 108. We know that , so we can form this statement now.
<em>We know the square root of 36 is 6</em>. Therefore, we can put this outside the square root sign and leave 3 inside.
Hope this helped!