Answer:
I dont really do this kind of work but i think its A
Step-by-step explanation:
Answer:
Step-by-step explanation:
Rising 30 feet for every 400 feet of track is not a very large angle of elevation. We set this up as a right triangle to use right triangle trig to solve for the missing angle. The height is 30 and the hypotenuse is 400. The height is the side opposite the angle in question, and the hypotenuse is the hypotenuse! This is the sin ratio. Setting up the ratio using our info:

When you are looking for a missing angle measure, as we are here, use the 2nd-->sin buttons to find the inverse of sin, which looks like this:

Enter in the fraction 30/400 after the parenthesis and then hit enter to get the angle measure of 4.3 degrees.
Answer:
V = 32
Step-by-step explanation:
Comment
I think you should try this one yourself after I post my answer. Estimation is a very valuable tool -- the more you use it, the handier it gets.
Formulas
pi = 3
V = 4/3 * pi * r^3
Givens
r = 2
pi = 3
Solution
V = 4/3 * pi * r^3 Substitute values for symbols
V = 4/3 * 3 * 2^3 Cancel the 3s
V = 4 * 2^3 Expand the 2s
V = 4 * 2 * 2 * 2 Find V
V = 32
mean = sum/n
mean = (5 + 7 + 7 + 9 + 12 + 16 + 21)/7
mean = 77/7
mean = 11
Answer:
x = 5
Step-by-step explanation:
√(2x − 1) + 2 = x
√(2x − 1) = x − 2
2x − 1 = (x − 2)²
2x − 1 = x² − 4x + 4
0 = x² − 6x + 5
0 = (x − 1) (x − 5)
x = 1 or 5
Check for extraneous solutions.
√(2(1) − 1) + 2 = 1
√(1) + 2 = 1
3 = 1
No solution
√(2(5) − 1) + 2 = 5
√(9) + 2 = 5
5 = 5
x = 5