The length side AB is 64 ft , Option D is the correct answer.
<h3>What is a Right triangle ?</h3>
A triangle that has one angle 90 degree is called Right angled Triangle.
From the figure it can be seen that
The triangle CDE is a right Triangle
Applying Pythagoras theorem to find the length of CE
CE² = 12² + 16²
CE = 20 ft
As both the triangles are similar therefore the ratio of the sides will be equal
BC : CD = AC : CE
48 / 12 = AC / 20
AC = 80ft
As Triangle ABC is also a right angled triangle
Applying Pythagoras theorem to find the length of AB
AC² = BC² +AB²
6400 = 48² +AB²
AB² = 4096
AB = 64 ft
Therefore Option D is the correct answer.
To know more about Right Triangle
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Answer: C
Step-by-step explanation:
-100-_= 45
-100+145= 45
Negative plus negative equals a positive sign
<span>3.19459 seconds
Since we've been given the equation for how high the ball is at t seconds, all we need to do is solve for a height of 0. So
h = 67 - 5t - 5t^2
0 = 67 - 5t - 5t^2
And you should immediately notice that we have a quadratic equation with A = -5, B = -5, and C=67. Use the quadratic formula to determine the roots of -4.19459 and 3.19459. Since we can't have negative seconds, that means that the ball will hit the ground 3.19459 seconds after it was thrown.</span>
Supposing you want this equation to be solved for a: we start with
Subtract 21 from both sides:
Multiply both sides by 5:
Change sign to both sides: