ANSWER
EXPLANATION
Let the top of the hopper be
Then, by the cosine rule,
We evaluate to get,
Take positive square root of both sides to get,
The volume of the rectangular prism will be 
<h3>What will be the volume of the rectangular prism ?</h3>
Given that
Thus the volume of the rectangular prism will be
To know more about the volume of the rectangular prism follow
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We just need to find the area of the parallelogram and the triangle, and then add.
Parallelogram: The area is base times height. So, we can write 4 * 6 = 24 in^2.
Triangle: The area is base times height divided by two. So, it's 4 * 6 / 2 = 12 in^2.
24 + 12 gives us an answer of 36 inches squared.
Step-by-step explanation:
1/2 × height × base
1/2 × 6.3 × 8
6.3 × 4 = 25.2 ans.
therefore, area of the ∆ is 25.2 ft ².
The solution to the equation is (325, 404) which is the point of intersection.
<h3>
Linear equation</h3>
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Let x represent the number of student tickets and y represent the number of adult tickets.
It is given by the equation:
- x + y = 729 (1)
- 3x + 5y = 2995 (2)
The solution to the equation is (325, 404) which is the point of intersection.
Find out more on Linear equation at: brainly.com/question/14323743
