Answer: 8
Step-by-step explanation:
From the question, we are informed that a 2-mile walking trail has a distance marker every 1\4 mile. Hl
The number of markers that are along the trail will be calculated as:
= Length of walking trail / interval of distance marker
= 2 ÷ 1/4
= 2 × 4
= 8
There are 8 markers along the trail.
Answer:
Step-by-step explanation:
The equation that models the height of the ball in feet as a function of time is

Where
is the initial height,
is the initial velocity and t is the time in seconds.
We know that the initial height is:
The initial speed is:

So the equation is:

The ball hits the ground when when
So

We use the quadratic formula to solve the equation for t
For a quadratic equation of the form

The quadratic formula is:

In this case

Therefore

We take the positive solution.
Finally the ball takes 2.47 seconds to touch the ground
Answer:
Ф = 10°
Step-by-step explanation:
Regarding arc length, s: s = r·Ф, where Ф is the central angle in radians and r is the radius.
We need to find the central angle, Ф, in this problem.
We know that C = circumference = 6, and that this leads to r = 6/π.
Substituting 6/π for r and 1/3 for s in Ф = s / r, we get:
Ф in radians = 1/3 / (6/π), or Ф = π/18 rad.
π 180°
Converting this into degrees, we multiply ------ by ----------
18 π rad
obtaining: Ф = 10°
172/387 = 4/t
Let t = time to travel 387 miles
172t = 4(387)
172t = 1548
t = 1548/172
t = 9
Answer: 9 hours
It should increase but I’m between stays the same or increase, I’m not sure in a 100% sorry...