Answer:
4.35 seconds.
Step-by-step explanation:
Let x represent the time the independent variable and y be dependent variable (height of the ball).
We are told that Duffy figured that the ball left his hand at a height of 5 feet. This means at x equals 0, y was 5 or initial height of ball is 5 feet.
We have been given that Duffy's coach measured that his throw reached a maximum height of 18 feet after 2 seconds. This means that at x equals 2 y was 18.
As point (2,18) represents maximum height of ball, so it will be vertex of parabola.
Since initial height of ball is less than maximum height, so our parabola will be downward opening and leading coefficient will be negative.
We know that vertex form of a downward opening parabola is in form:
Let us find value of a using point (0,5).
Therefore, the equation can be used to find the height of ball after x seconds.
To find the time it will take the ball to hit the ground, we will substitute y equals 0 in our equation.
Taking square root of both sides of our equation we will get,
Since time can not be negative, therefore, the ball will hit the ground approximately after 4.35 seconds.
The area of the sector which representsthe lawn irrigated by the sprinkler is:
Recall:
Given:
length of arc = 10 feet
First, find the radius using the length of arc formula.
radius = 19.2 ft
Find the area of the sector:
Area of sector =
The area of the sector which representsthe lawn irrigated by the sprinkler is:
Learn more here:
Answer:
Step-by-step explanation:
step 1
Find the radius of the circle
we know that
A circumference of the circle subtends a central angle of 360 degrees
so
using proportion
step 2
Find the area of sector
we know that
The area of the circle subtends a central angle of 360 degrees
so using proportion
Let
x ----> the area of the sector