A women buys 23 pounds of potatoes. She gives 10% of them to a neighbor and 15% of them to her mother. How many pounds dose she
2 answers:
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Well,
We are given a direct proportion problem.
x varies directly as y.
When y = -5, x = 15.
Now, we are told to find x when y = 3.
We just have to recognize that the complete case is equal to the incomplete case. In other words, we set the -3 equal to the x/3.
Multiply both sides by the LCM.
LCM of -1 and 3 = 3
-9 = x
When y = 3, x = -9.
We are given a direct proportion problem.
x varies directly as y.
When y = -5, x = 15.
Now, we are told to find x when y = 3.
We just have to recognize that the complete case is equal to the incomplete case. In other words, we set the -3 equal to the x/3.
Multiply both sides by the LCM.
LCM of -1 and 3 = 3
-9 = x
When y = 3, x = -9.
The total area of pyramid is 113.569 square units
The equation to find the total area of the pyramid is Total area = base area + lateral area.
<u>Solution:</u>
Given, A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6.
<em><u>The total area of pyramid is given by:</u></em>
---- eqn 1
Where,
<em><u>The area of base is given as:</u></em>
Where "l" is the side of hexagon.
Substituting we get,
<em><u>The lateral area is given as:</u></em>
Where,
b: base of the triangle
h: height of the triangle
Substituting we get,
Plugging in the values we found in eqn 1 we get,
A = 113.569 square units
<em><u>Summarizing the results:</u></em>
The total area of pyramid is 113.569 square units approximately
The equation used to find total area of pyramid is Total area = base area + lateral area.