Answer:
Step-by-step explanation:
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
Step-by-step explanation:
here's the answer to your question
Answer:
21
Step-by-step explanation:
Let x = $1 bill
Let y = $5bill
<em>Translating the word problem into an algebraic equation;</em>
<em>For the total number of bills;</em>
.........equation 1
<em>For the total number of tips;</em>
..........equation 2
<em>*Solving the linear equation by using the substitution method*</em>
<em>Making x the subject in equation 1:</em>
.......equation 3
<em>Substituting "x" into equation 2;</em>
<em>Simplifying the equation, we have;</em>
y = 21 (For the $5 bills).
<em>Therefore, Anthony received 21 pieces of the $5 bills.</em>
To find x;
Substituting "y" into equation 3;
x = 26 (For the $1 bill).
3
multiply by 4
12
add 12
24
divide by 2
12
subtract 6
6
number 6 : 6(4) = 24... + 12 = 36...36/2 = 18.....- 6 = 12
number 8 : 8(4) = 32....+ 12 = 44...44/2 = 22....- 6 = 16
number 12: 12(4) = 48....+ 12 = 60...60/2 = 30....-6 = 24
well...by following these steps, it appears the original number doubles as a result.