Answer:
(1, 0)
Step-by-step explanation:
I can't really explain it on here with it making sense but just plug in the numbers into the formula and it should be easy from there
30 feet because if you do the math 42 feet as the height and 5 and 7 as a base you should get 30
Answer:
The bearing of B from C is 22° counterclockwise
Step-by-step explanation:
∠CAB = 210 - 90 = 120°
Extend a line from A to the west.
drop a perpendicular line from that line to point C.
Let's call the point at the perpendicular point, M.
∠MAC = 180° - 120° = 60° because they are supplementary.
Now we have a right ∠CMA with a known hypotenuse and a known angle.
Solve for MA:
cos 60° = MA/3.8 = 1.9
Solve for MC:
sin 60° = MC/3.8 = 3.29
MB = 1.9 + 6.4 = 8.3
tan ABC = 3.29/8.3 = 21.62°
Answer:
C. At the 0.01 level of significance, the mean mass of the apples grown in the farmer's orchard is different from 100g.
Step-by-step explanation:
The null hypothesis is:

Because of the claim of the farmer.
The alternate hypothesis is:

The alternate hypothesis tests the farmer's claim at a significance level.
The results are calculated to be statistically significant at the 0.01 level.
This means that at the 0.01 level, the null hypothesis is rejected, that is, the mean mass of the farmer's orchard is different from 100. Since it is significant at the 0.01 level, it will be significant at the 0.05, 0.1, and increasing levels. So the correct answer is given by option C.