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
We need to figure out how much string would be left, after taking away the first two pieces.
We know that the first piece is 20 inches long, so we can say that there is 52-20 inches left, or 32 inches.
The second piece is between 12 and 18 inches, meaning that there would be between 32-12 and 32-18 inches left for the third piece, or 20 and 14 inches. This means that the third piece would be at least 14 inches long, but no more than 20, since we don’t have more string than that (20+12+20=52, and 20+14+18=52)
So we can say that x is greater or equal to 14, but less than or equal to 20, or:
14<=x<=20 (“<=“ is written like a normal “<“ sign with a line _ right under it)
Answer:
y= -3x +10
the y-intercept is at 10 and then go 3 down one to the right
Step-by-step explanation:
Find the prime factorization of each value.
21 is 7*3
30 is 3*10 which can be further broken down into 3*2*5
44 is 4*11 which can be further broken down into 2*2*11
What do they share in common?
21 and 30 each have a 3 in common.
Therefore the GCF(21, 30) = 3.
21 and 44 share a 2 in common.
But if we're looking at all three of them together, they share nothing in common.
You would owe the rental shop 54 dollars
13.00 x 5.00 = 18.00
since it is per hour you multiply 18.00 x 3
3 stands for the hours you kayaked
and that gives you 54
therefore your answer is 54<span />
