Answer:
39
Step-by-step explanation:
x-3y=9
x-y=29
subtract
-2y=-20
y=10
x-10=29
x=39
Answer:
the answer is #2-62.5%
Step-by-step explanation:
The time intervals when the riders could see Niagara falls are; 0.834 < t < 1.416 and (3.084, 3.666)
<h3>How to interpret Cycle Graphs?</h3>
From the diagram attached, we can say that;
Period = 2π/k
where;
k = 2π/2.25
k = 8π/9
Thus;
h(t) = -(48/2) cos (8π/9)t + ((48/2) + 0.5)
h(t) = -24cos (8π/9)t + 24.5
Riders can see Niagara falls if they are higher than 41 meters above the ground. Thus;
41 = -24cos (8π/9)t + 24.5
41 - 24.5 = -24cos (8π/9)t
16.5 = -24cos (8π/9)t
-0.6875 = cos (8π/9)t
cos⁻¹0.6875 = (8π/9)t
t = 0.834 min
Thus, time interval is between;
0.834 < t < (2.25 - 0.834)
⇒ 0.834 < t < 1.416 and
(2.25 + 0.834) < t < (2.25 + 1.416)
⇒ (3.084, 3.666)
Read more about Cycle Graphs at; brainly.com/question/24461724
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9514 1404 393
Answer:
(-2, 1)
Step-by-step explanation:
Rotating a point 180° about the origin in either direction is equivalent to reflecting it across the origin. The effect is to negate both coordinates.
(x, y) ⇒ (-x, -y) . . . . . rotation 180°
(2, -1) ⇒ (-2, 1) . . . . . P' rotated 180° from P
The coordinates of the rotated point are (-2, 1).
It will take Carlos 4 hours to walk 16 miles.