Formula-
If a set has “n” elements, then the number of subset of the given set is 2n and the number of proper subsets of the given subset is given by 2n-1. Consider an example, If set A has the elements, A = {a, b}, then the proper subset of the given subset are { }, {a}, and {b}
Symbol that can be used-
The symbol "⊆" means "is a subset of". The symbol "⊂" means "is a proper subset of".
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Answer:
1. 30ft
2. 0.4 min
Step-by-step explanation:
In this question, apply sine law which states that sine Ф= opposite/hypotenuse
The general formulae; is SOHCAHTOA where ;
(SOH) sineФ=opposite/hypotenuse ; (COH) cosine Ф= adjacent/hypotenuse and (TOA) tan Ф=opposite/adjacent
In the question the height of the two floors is the " c" and the angel at the base is 60° and distance the conveyor travels is the hypotenuse
Hence;
If 75ft=1min
30ft=?........................simple math
30/75 = 0.4 minutes
The vertex is (-1, 2).
The equation of parabola:
where (h, k) is the vertex
We have h = -1 and k = 2.
Substitute:
The y-intercept is where on the graph the line is intersecting the y=axis. Slope is in the form y=mx+b (b=y-intercept, mx=how far up and over.)