The abscissa of the ordered pair, that is the x-coordinate, is equal to 1 and the ordinate, the y-coordinate, is equal to -1. In the cartesian plane, this point lies in the fourth (IV) quadrant. The standard position of the angle is that which has one of its side is in the x-axis.
Solve for the hypotenuse of the right triangle formed.
h = sqrt((-1)² + (1)²) = √2
Below items show the calculation for each of the trigonometric functions.
sin θ = opposite/hypotenuse = y/h = (-1)/(√2) = -√2/2
cos θ = adjacent/hypotenuse = x/h = (1)/√2 = √2/2
tan θ = opposite/adjacent = y/x = -1/1 = -1
32-20 = 12
14-2 = 12
so the input is 12 more than the output
so 6+12 = 18
and
-10-12 = -22
Answer:
$16.60
Step-by-step explanation:
4 x 0.85 = $3.40
20 - 3.40 = 16.6
Dave should get back $16.60 in change.
Answer:
Option A 0.1698
Step-by-step explanation:
Given that Jason has a chance for getting oil as 45%
THe kit he buys show accurate result with 80% probability
Let A1- Event that the land has oil
A2 - Event that the land has no oil
B- The test gives negative result
A1 and A2 are mutually exclusive and exhaustive
P(A1) = 0.45 and P(A2) =0.55
Hence we can use Baye theorem
Then P(B) = P(A1B)+P(A2B)=
Reqd prob =P(A1/B) =
387000 times 0.29 <--- (same as 29%)
=112230 (this is the increased value aka the 29%)
387000-112230=274770 (subtracting to find original value)
Answer is $274,770
