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)
For this case we have that by definition of trigonometric relations that the sine of an angle is equal to the opposite leg to the angle on the hypotenuse. That is to say:
Clearing the value of "a":
Rounding off we have:
17.7
Answer:
Option B
Answer:
The answer is "Its results are not consistent with its three designs Yes. Its results show significant differences between both the three designs."
Step-by-step explanation:
Following are the distribution of preference:
An expected frequency(
) has 40 Null hypotheses to take n=120.to each design:
The effects of the three designs are standardized
Inaccurate.
Hypothesis Alternative:
The effects of the three prototypes are not uniform
Degrees Of freedom 
Chi-squared distribution critical value at 
Since 
value 
table of 
is determined.
So
is rejected.
Answer:
Part A: equations B and D are true
Part B: expression B is equal to tan(g)
Step-by-step explanation:
In the given triangle, sin(g) = cos(h) and cos(g) = sin(h).
___
Part A
Based on the above, selection B is true.
Based on the above, the equation of D becomes: sin(h)+sin(g) = sin(g) +sin(h), which is true.
Selections B and D are true
___
Part B
Based on the above tan(g) can also be written ...
tan(g) = cos(h)/sin(h) . . . . . corresponds to selection B
