Answer:
16
Step-by-step explanation:
To start off this problem, we are given that the line AB is equal to the line CD. In addition to that, we are given that the line EF equally intersects line AB and line CD. This provides us proof that angle AGH is equivalent to angle DHG. From this information, we can solve this problem relatively easily.
Lets work with this equation:
Next, divide 80 by 5.
This means that x is equal to 16.
Answer:
About 1.85 seconds and 13.15 seconds.
Step-by-step explanation:
The height (in feet) of the rocket <em>t</em> seconds after launch is given by the equation:
And we want to determine how many seconds after launch will be rocket be 390 feet above the ground.
Thus, let <em>h</em> = 390 and solve for <em>t: </em>
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Isolate:
Simplify:
We can use the quadratic formula:
In this case, <em>a</em> = 8, <em>b</em> = -120, and <em>c</em> = 195. Hence:
Evaluate:
Simplify:
Thus, our two solutions are:
Hence, the rocket will be 390 feet above the ground after about 1.85 seconds and again after about 13.15 seconds.