They are independent because there is no cause and effect or sequence of events.
Factors of 24.
1, 2, 3, 4, 6, 8, 12, and 24<span>. </span>
You are going to want to cross multiply this, so 5/9 would multiply with 1 and 2/3 would be multiplied by x. Now you have 5/9 = 2/3x. You would divide 2/3 on both sides and get 5/6. 5/6 is your answer.
Answer:
Given - A triangle UTS
angle U = 43°
angle T = 103°
As we know that the side opposite to the largest angle is longest. angle T is longer so side opposite to it Us is longer
US , UT , TS
Answer:
2sin((1)x + 135)-3
Step-by-step explanation:
Asin(Bx+C)+D
A = amplitude = distance from top to bottom divided by 2
y value of top = -1
y value of bottom = -5
distance from top to bottom = -1 - (-5) = 4
divide by 2 to get 4/2 = 2 as our amplitude
2π/B = period
in this case, we're working in degrees for our x axis - 2π = 360°
thus, 360°/B = period
period = time it takes to get from one high to the next (alternatively, one low to the next etc.) = 360 degrees in this case
thus, 360°/B = 360°
divide both sides by 360° and multiply both sides by B to isolate B
360/360 = B = 1
phase shift = -C/B
phase shift refers to how much the graph is shifted to the left/right. normally, the middle of a sin wave is at 0, with a peak being to the right of it. now, the middle of the sin wave (which has a peak to the right of it) is at x = -135 degrees to the right of a regular sine wave
thus,
-135 degrees = -C/B
B = 1
-135 degrees = -C
C = 135 degrees
D = vertical shift
the center is now at y = -3. normally, the center is at y = 0. thus, D = -3
our formula is thus
2sin((1)x + 135)-3