9/6 = 1.5
24/1.5 = 16
triangle DEF has a primeter of 16 inches
Answer:
Step-by-step explanation:
we have
we know that
The equation of a vertical parabola into vertex form is equal to
where
(h,k) is the vertex of the parabola
and the axis of symmetry is equal to
In this problem we have the axis of symmetry
so
the x-coordinate of the vertex is equal to
therefore
For -----> one unit to the right of the vertex
Find the value of
For -----> one unit to the left of the vertex
Find the value of
Remember that
------> the x-coordinates are at the same distance from the axis of symmetry
so
------> solve for b
The coordinates of r is ( 4, -1 )
Answer:
4/663
Step-by-step explanation:
There are four queens. The probability that the first card is a queen is 4/52.
There are four kings. There are 51 cards left after the first card has been drawn, so the probability that the second card is a king is 4/51.
Therefore, the probability that the first card is a queen AND the second card is a king is:
P = 4/52 × 4/51
P = 4/663
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
#SPJ1