Answer. Mass is a measurement of how much matter is in an object; weight is a measurement of how hard gravity is pulling on that object. Your mass is the same wherever you are, on Earth; on the moon; floating in space, because the amount of stuff you're made of doesn't change. hope this help.............
Answer: the length is 15 m and the width is 5 m
Step-by-step explanation:
Let L represent the original length of the rectangle.
Let W represent the original width of the rectangle.
The length of a rectangle is three times it's width. This means that
L = 3W
If the width is diminished by 1 m and length is increased by 3 m, the area of the rectangle that is formed is 72 m². This means that
(L + 3)(W - 1) = 72
LW - L + 3W - 3 - 72 = 72 + 3
LW - L + 3W = 75 - - - - -- - - - - - 1
Substituting L = 3W into equation 1, it becomes
3W × W - 3W + 3W = 75
3W² = 75
W² = 75/3 = 25
W = √25 = ±5
The width cannot be negative. Therefore, the width is 5 m
L = 3W = 3 × 5 = 15 m
You would do ten columns of ten and then you would just do the remaining.
It'd help if you could sketch this situation. Note that the area of a rectangle is equal to the product of its width and length: A = L W.
Consider the perimeter of this rectangular area. It's P = 2 L + 2 W. Note that P = 40 meters in this problem.
Thus, if we choose to use W as our independent variable, then P = 40 meters = 2 L + 2 W. Let's express L in terms of W. Divide both sides of the following equation by 2: 40 = 2 L + 2 W. We get 20 = L + W. Thus, L = 20 - w.
Then the area of the rectangle is A = ( 20 - W)*W.
Multiply this out. Your result will be a quadratic equation. Graph this quadratic equation (in other words, graph the function that represents the area of the rectangle). For which W value is the area at its maximum?
Alternatively, find the vertex of this graph: remember that the x- (or W-) coordinate of the vertex is given by
W = -b/(2a), where a is the coefficient of W^2 an b is the coefficient of W in your quadratic equation.
Finally, substitute this value of W into your quadratic equation, to calculate the maximum area.
Answer:
-2/8 is greater
Step-by-step explanation:
prove me wrong
