Q: You are shot out of a cannon at the fair. The equation y=-1/5 * (x+2) (x-28) models your flight path, where y is the height above the ground and x is the horizontal distance. Which of the following statements in the comments are true?
a) You reach a maximum height of 45 feet,
b) You will land 11.2 feet from the cannon,
c) The barrel of the cannon is about 11 feet above the ground.
d)At a point 13 feet from the cannon, you begin to descend.
A: When y = 0, x = 28
y’ = 0 at x = 13 where Y is max = 15^2 / 5 = 45
Hence a is true, b is false, c is false, d is false .
The area of the base is:
A = root ((s-a) * (s-b) * (s-c) * (s))
Where,
a, b, c: sides of the triangle
s = (a + b + c) / 2
We have then:
s = (9 + 9 + 9) / 2
s = 13.5
A = root ((13.5-9) * (13.5-9) * (13.5-9) * (13.5))
A = 35.07
Then, the surface area of the prism is:
S.A = 2 * A + 9h + 9h + 9h
Where,
h: height of the prism:
Substituting values:
421.2 = 2 * (35.07) + 9h + 9h + 9h
Clearing h:
27h = (421.2 - 2 * (35.07))
h = (421.2 - 2 * (35.07)) / (27)
h = 13
Answer:
the height of the box is:
h = 13 inches
Here is the graph, you can match it yourself:
Answer:
The statistical relationship between two variables is referred to as their correlation. A correlation could be positive, meaning both variables move in the same direction, or negative, meaning that when one variable's value increases, the other variables' values decrease.
Step-by-step explanation:
The value of the angle θ is 160.52° then the value of the cosine will be negative 0.9428.
<h3>What is trigonometry?</h3>
Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
Angle θ is in standard position.
If sin(θ) = − 1/3 , and π < θ < 3π/2
Then the angle will be

Then add 180 degrees, then we have

Then the value of the cosine will be

More about the trigonometry link is given below.
brainly.com/question/22698523