Answer:
There are going to be 31 matches played in the soccer league.
Step-by-step explanation:
The soccer league has 6 teams, so if every team plays against the others twice, there are going to be played 30 matches:
-Team 1: v Team 2 (2), v Team 3 (2), v Team 4 (2), v Team 5 (2), v Team 6 (2)
-Team 2: v Team 3 (2), v Team 4 (2), v Team 5 (2), v Team 6 (2)
-Team 3: v Team 4 (2), v Team 5 (2), v Team 6 (2)
-Team 4: v Team 5 (2), v Team 6 (2)
-Team 5: v Team 6 (2)
-Team 6: -
If there is a final championship game after the 30 regular season matches, there are going to be 31 matches played in the league.
Answer:
y = 5cos(πx/4) +11
Step-by-step explanation:
The radius is 5 ft, so that will be the multiplier of the trig function.
The car starts at the top of the wheel, so the appropriate trig function is cosine, which is 1 (its maximum value) when its argument is zero.
The period is 8 seconds, so the argument of the cosine function will be 2π(x/8) = πx/4. This changes by 2π when x changes by 8.
The centerline of the wheel is the sum of the minimum and the radius, so is 6+5 = 11 ft. This is the offset of the scaled cosine function.
Putting that all together, you get
... y = 5cos(π/4x) + 11
_____
The answer selections don't seem to consistently identify the argument of the trig function properly. We assume that π/4(x) means (πx/4), where this product is the argument of the trig function.
Answer:
32, 36, 40
Step-by-step explanation:
8x + 9x + 10x = 108
27x = 108
x = 4
4 × 8 = 32 - 1st side
4 × 9 = 36 - 2nd side
4 × 10 = 40 - 3rd side
Answer:
11
Step-by-step explanation: