Step-by-step explanation:
We will use pythagoras' Theorem for this question
where c is the longest side (in this case, the diagonal)
a and b are the 2nd and 3rd longest side (interchangeable)
given a = 10.6, b = 16.8,
(2,40) is the ordered pair where the 2 lines meet
Short Answer: arc LM = 110°
Comment
Any two angles that have their end points on the same end points as a chord and both moving away in the same direction (in this case down ) are equal. This is a fundamental fact about circles.
Equation
2x + 55 = x + 55
the only way this is going to make any sense is if x = 0. No other value is possible because it will destroy the equality.
Conclusion
Both angles = 55
But that's not what you are asked for.
What you are asked for
You want to know the measure of arc LM.
The angle connecting the center of the circle with its two arms running through the end points of the chord = the measure of arc LM
Draw a dot where the center of the circle is and call it O. Draw in <MOL
<MOL = 2* either of the 55° = 2 (<LKM) = 2 * 55 = 110° That's a property of the central angle.
The measure of arc LM = 110°
Answer:
Step-by-step explanation:
The vertex will occur when t=-b/(2a) for the quadratic ax^2+bx+c
In this case
t=-200/(2(-16))
t=-200/-32
t=6.25
g(6.25)=-16(6.25^2)+200(6.25)
g(6.25)=625ft
So the maximum height of the rocket is 625 feet and it reaches this height at 6.25 seconds.
Well 1 is a perfect square and it only has 1 factor.
16 is a perfect square and its' factors are 1, 2, 4, 8, and 16
