1A) For the right triangle from the middle of one edge to the center of the base, the side "adjacent" to the angle is (82 m)/2 = 41 m. The height is the side of that triangle that is "opposite" to the angle. You know from your trig definitions that
.. tan(52°) = "opposite"/"adjacent"
.. tan(52°) = height/(41 m)
.. height = (41 m)*tan(52°) ≈ 52 m . . . . . . . 3rd selection
1B) Same deal.
.. tan(52°) = height/(side/2) = 2*height/side
.. side = 2*147 m/tan(52°) ≈ 230 m . . . . . . 4th selection
2) The sine is the ratio of opposite to hypotenuse. Side BC is opposite angle A, and side AB is the hypotenuse
.. sin(A) = (8√3)/16 = (√3)/2
Answer:
9.22
Step-by-step explanation:
6x6 + 7x7 = c^2
36 + 49 = c^2
85 = c^2
c = √85
c = 9.22
Answer:
The second option - 8/81
Step-by-step explanation:
Subtract all of your numbers and see what you get
The solution to this system is (x, y) = (8, -22).
The y-values get closer together by 2 units for each 2-unit increase in x. The difference at x=2 is 6, so we expect the difference in y-values to be zero when we increase x by 6 (from 2 to 8).
You can extend each table after the same pattern.
In table 1, x-values increase by 2 and y-values decrease by 8.
In table 2, x-values increase by 2 and y-values decrease by 6.
The attachment shows the tables extended to x=10. We note that the y-values are the same (-22) for x=8 (as we predicted above). That means the solution is ...
... (x, y) = (8, -22)
