Answer:

Step-by-step explanation:
Solve the value of
:

-Combine
and
by subtracting
by
:


-Subtract
on both sides:


-Multiply both sides by
, the reciprocal of
:



Therefore, the value of
is
.
1 /million is the chance
1/1,000,000 or in decimals 0.000001 is the chance
x = normal water level
x - 12 - 13 = x - 25
so it is 25 feet below the normal water level
Answer:
Step-by-step explanation:
a.) The worst-case height of an AVL tree or red-black tree with 100,000 entries is 2 log 100, 000.
b.) A (2, 4) tree storing these same number of entries would have a worst-case height of log 100, 000.
c.) A red-black tree with 100,000 entries is 2 log 100, 000
d.) The worst-case height of T is 100,000.
e.) A binary search tree storing such a set would have a worst-case height of 100,000.
Question:
If cos(θ) =-8/17 and sin(θ) is negative, then sin(θ) = ___ and tan(θ) =___.
Answer:


Step-by-step explanation:
Given
cos(θ) =-8/17
Required
sin(θ) = __
tan(θ) =__
The first step is to determine the length of the third side
Given that

Where Adj and Hyp represent Adjacent and Hypotenuse

By comparison

Using Pythagoras

By Substitution


Subtract 64 from both sides


Take square roots of both sides




The question says that sin(θ) is negative; This implies that θ is in the third quadrant and as such

From trigonometry


Also from trigonometry





