Answer:
Angle 1 = 128
Angle 2 = 52
Angle 3 = 68
Angle 4 = 60
Angle 5 = 124
Step-by-step explanation:
Had to use supplementary theorem, vertical angles theorem, and that the angles of a triangle add up to 180.
I hope this helps!
All of the above. it is a three dimensional pyramid, and a "polyhedron" means it is triangular.
Answer:
14 dollars
Step-by-step explanation:
14÷2= 7
7+5=12
Answer:
1245
Step-by-step explanation:
-Given the standard deviation is $9000 and the margin of error is $500.
-the minimum sample size at a 95% confidence level can be calculated using the formula:

Hence, the minimum sample size is 1245
*Since there's no data fromw which we are drawing our variables, we can manually input our parameters in excel and calculate as attached.
Answer:
Step-by-step explanation:
We have plane 1 flying SW for 4 hours at a rate of 415 mph. The distance he covers using the d = rt formula for distance, is 415(4) = 160 miles.
We also have plane 2 flying directly east (along the x-axis) for 4 hours at 327 mph. The distance he covers using the d = rt formula for distance, is 327(4) = 1308 miles. The angle in between them at this point is 135 degrees, and what we need to find is the length of the vector connecting the 2 planes. IF this was right triangle trig that distance would be the hypotenuse and we could solve for it using Pythagorean's Theorem. BUT it is NOT a right triangle, so we have to find some other means with which to solve for that length. We will use the Law of Cosines to do this.
which simplifies a bit to

If you add all of that together, you'll get
and you'll take the square root of that to get that the distance between the 2 planes after 4 hours is
2745 miles