Angle a is a right angle and all right angles equal 90°
You'll find the attached formulas quite helpful.
Answer:
5t² - 16t + h =0
Step-by-step explanation:
During upward projection the final velocity is zero, and the gravitational acceleration is -10 m/s² (against the gravity).
Therefore; using the equation;
S = 1/2gt² + ut
Where s is the height h, g is gravitational acceleration, and t is the time and u is the initial velocity u, is 16 ft/s.
Thus; h= 1/2(-10)t² + 16t
We get; h = -5t² + 16t
Therefore; the quadratic equation is 5t² - 16t + h =0
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<u>Given</u>:
The given figure is a square pyramid.
The side length of the base of the pyramid is 6.6 feet.
The height of the pyramid is 12.672 feet.
We need to determine the volume of the pyramid.
<u>Area of the base:</u>
The area of the base can be determined using the formula,

where a is the side length of the base.
Substituting a = 6.6, we get;


Thus, the area of the base is 43.56 square feet.
<u>Volume of the pyramid:</u>
The volume of the pyramid can be determined using the formula,

where A is the area of the base and h is the height of the pyramid.
Substituting A = 43.56 and h = 12.672, we get;


Thus, the volume of the pyramid is 184 cubic feet.
Answer:

Step-by-step explanation:
We are finding the equation of the line that coincide with line segment AB.
So, we can find the equation by using points A and B.

Slope of line (m) = 
Since slope = 0, therefore the line is parallel to x-axis.
The equation of line is given by 
where
is slope and
is y-intercept.
So equation of line AB:
where
and 


