D is the correct answer
x = -2 turns into (x + 2)
x = -1 turns into (x + 1)
x = 3 turns into (x - 3)
Answer:
Since we know that ΔPQR is a right triangle, we can also asume that:
sin R = cos P = 3/5
So the answer is (d).
* This formular can also be applied to other right triangles.
In a right triangle, sine of one acute angle will always be equal to cosine of the other acute angle.
And we can check this by actually finding cos P using the lengths of the sides, by calculating PR first:
PR = √(PQ² + RQ²) = √(12² + 16²) = 20
=> cos P = PQ/PR = 12/20 = 3/5
Start by finding the length of the deck.
Area of a rectangle is given by A=length*width.
Let's plug in the information that we know so far,
680 = length*17
solving for length, dividing by 17,
40 = length
Now that we know both dimensions of the rectangular deck,
let's calculate the perimeter,
P = 2length + 2width
P = 2(40) + 2(17)
P = 114
Hope that helps!
Answer:
15m
Step-by-step explanation:
For every second, the boy walks 1.5 m
So 6 x 1.5 m equals 9 m total
For every second, the girl walks 2m
So 6 x 2 m equals 12 m total
The boy walked North, so it would look like he is walking upward
While the girl walking West looks like she is walking to the left
Finding the distance between them would look like solving a right triangle
We're gonna use the Pythagorean theorem
12² + 9² = distance²
144 + 81 = 225
√225 = 15