Answer:
sin x = 3/5
cos y = 3/5
sin x and cos y are equal
Step-by-step explanation:
First we need to find the length of the hypotenuse
We can use the Pythagorean theorem
a^2+ b^2 = c^2 where a and b are the legs and c is the hypotenuse
6^2 +8^2 = c^2
36+64 = c^2
100 = c^2
Taking the square root
sqrt(100) = sqrt(c^2)
10 = c
The hypotenuse is 10
Since this is a right triangle we can use trig functions
sin x = opp side/ hypotenuse
sin x = 6/10 = 3/5
cos y = adj / hypotenuse
cos y = 6/10 = 3/5
sin x and cos y are equal
We have a direct variation. Distance, D, varies directly as time, t.
So D = Kt where K is the constant. In this case, speed. So D = Kt is our constant of variation.
If D = 150 miles and t = 4 hours
Then we have 150 = K (4)
K = 150/4 = 37.5. The constant of variation is 37.5.
If you keep traveling at a constant speed K = 37.5 and D = 200. We have
200 = 37.5 * t
t = 200/37.5 = 5.333 hours.
Answer:
(6,2)
Step-by-step explanation:
i used elimination method
<span>In order to make the equation a perfect square trinomial, you must add 9 to both sides of the equation. Adding 9 to the left side would give you x2 - 6x + 9 = (x-3)2. Adding 9 allows you to break the left side down into two identical terms of x-3 which are multiplied together. The right side is left with 10 by adding 9. Final answer would be x2-6x+9=10</span>
Answer:
-7
Step-by-step explanation:
k(x) = x/5 - 3
k(-20) = -20/5 -3
k(-20) = -4 - 3
k(-20) = -7
