Answer:
Longer side = 84 meters
Shorter side = 80 meters
Step-by-step explanation:
The hypotenuse is the longest side of the right angle triangle. Let x represent the length of the longer side of the triangle. The difference between the other two sides is 4 meters. It means that the length of the shorter side is x - 4
Applying Pythagoras theorem which is expressed as
Hypotenuse² = longer side² + shorter side²
Therefore,
116² = x² + (x - 4)²
13456 = x² + x² - 4x - 4x + 16
2x² - 8x + 16 - 13456 = 0
2x² - 8x - 13440 = 0
Dividing through by 2, it becomes
x² - 4x - 6720
x² + 80x - 84x - 6720 = 0
x(x + 80) - 84(x + 80) = 0
x - 84 = 0 or x + 80 = 0
x = 84 or x = - 80
Since the length cannot be negative, then
x = 84
Length of shorter side is
84 - 4 = 80
The correct answer is D. An outlier on a graph is going to be a point that is either off center of the line that can be drawn or that is further away from the rest of the points. In this case the point at 0, 18 is the furthest point so therefore it must be the outlier. Noticing that at that point the length and mass of the shark is very small, it is fair to say that that shark is a newborn small shark and he is the outlier among the larger and longer sharks in the ocean.
Hope this helps
Answer:
There are 4 terms 3x, 5y, 10z, and 15
Step-by-step explanation:
The surface area of the box is being referred to as A
The surface area will be the sum of the four rectangular sides' areas and the base area.
Base area = x²
Rectangular side area = xh
A = x² + 4xh
Volume is, as you said,
V = x²h
Lets substitute h from the formula of A to obtain A in our final answer. Substituting x is possible, but more difficult
(A - x²)/4x = h
V = (x²) * (A - x²)/4x
V = (Ax - x³)/4