Answer:
The ball will take 4.05 seconds to hit the ground.
Step-by-step explanation:
we have

This is a quadratic equation (vertical parabola) open down
The vertex is a maximum
we know that
The ball hit the ground when h=0
Solve the quadratic equation
For h=0

The formula to solve a quadratic equation of the form
is equal to

in this problem we have
so

substitute in the formula


---> the time cannot be a negative number

therefore
The ball will take 4.05 seconds to hit the ground.
Answer:
500
Step-by-step explanation:
Answer:
x = √11
Step-by-step explanation:
2x² - 1 = 21
add 1 to both sides
2x² - 1 + 1 = 21 + 1
simplify
2x² = 22
x² = 22 / 2
x = √11
Answer:
122 or (3x-4).
Step-by-step explanation:
First, let's take a look at the polygon
The polygon has 5 sides.
We can calculate it's sum of interior angles by using (n-2)*180
Here, number of sides(n)=5
Therefore, (n-2)*180=(5-2)*180=3*180=540
Now that we got that out of the way, let's solve for x
2x+9+3x-8+3x-4+3x-10+2x+7=540
or,13x-6=540
or,13x=546
or,x=42
Now, solve for each interior angle,
2x+9=93
3x-8=118
3x-4=122
3x-10=116
2x+7=91
The largest here s 122 which is 3x-4.
SO, the largest interior angle=122 or (3x-4).