Answer:
The height of the pyramid is
Step-by-step explanation:
we know that
The volume of the pyramid is equal to
where
B is the area of the base of the pyramid
H is the height of the pyramid
step 1
Find the area B of the regular hexagonal base
we know that
The perimeter of a regular hexagon is
where
b is the length side of the hexagon
we have
substitute
solve for b
Remember that the area of a regular hexagon is the same that the area of six equilateral triangles
Determine the area of the six equilateral triangles, applying the formula of the law of sines
substitute the value of b
step 2
Find the height of the pyramid
we have
substitute
solve for H
Answer:
= 3x - 3y
Step-by-step explanation:
³/₈
We will solve the problem of subtraction between fractions.
Given:
Kim and Courtney share a 16-ounce of the box of cereal.
By the end of the week:
Question:
What fraction of the box is left?
The Process:
Kim has eaten ³/₈ of the box of cereal. Let's calculate how many fractions of the box are left after Kim has eaten them.
Hence, the rest of the box after Kim has eaten ³/₈ of the box is
Furthermore, Courtney has eaten ¹/₄ of the box of cereal. Let's calculate how many fractions of the box are left again after Courtney ate the remaining part since Kim had eaten it before.
Before we subtract, the denominator must be equated. Prepare ¹/₄ to be ²/₈. The numerator and denominator are multiplied by two.
Thus, the fraction of the box left after Kim and Courtney have eaten is
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Quick Steps:
The summary scheme is as follows:
Initial conditions
Kim has eaten ³/₈ of the box:
Courtney has eaten ¹/₄ (or ²/₈) of the box:
Final conditions
is subtracted by and is subtracted by equal as the remaining part
Keywords: Kim and Courtney, share, a 16-ounce of the box of cereal, ³/₈ of the box, ¹/₄, what fraction of the box is left, ³/₈, subtraction, the denominator, the numerator