Answer:
In 1 second he runs 6.0 meters.
Step-by-step explanation:
The question asks "how far does he run in one second?" The answer is a distance, not a time, so if it needs to be rounded, it is to the nearest tenth of a meter.
Divide the distance by the time:
(414.2 m)/(68.7 sec) = 6.029 m/sec
In 1 second he runs 6.0 meters.
Answer:

OR

Step-by-step explanation:
Vertex form of a parabola is given as:

Where (
) is the vertex and
are the points on the parabola.
We are given that, the vertex is (3, -2) and another point on parabola is given as (2, 3).

First of all, putting the vertex in the vertex equation as given above:

Now, putting the values of
as 2, 3 and let us find the unknown variable
:

Therefore, the equation in vertex form can be written as:

OR

Answer:
16.2
Step-by-step explanation:
A trick to remember for right triangles is SOH-CAH-TOA:
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
Here, we have the side adjacent to the angle and the hypotenuse. So we should use cosine.
cos 22° = 15 / x
x = 15 / cos 22°
x ≈ 16.2
32.5...
125x26 = 3250 divided by 100 = 32.5
hope this helps!
<h2>the original number is 38</h2>
Step-by-step explanation:
Let the two-digit number be 10t+u where t is the tens digit and u the units digit.
-------------------
EQUATION:
t+u = 11
10u+t = 10t+u + 45
-------------
Rearrange the equations:
t+u = 11
9t-9u = -45
-------------
Simplify:
t+u = 11
t-u = -5
---------
Add the equations to solve for "t":
2t = 6
t = 3
--------
Substitute to solve for "u":
3+u = 11
u = 8