<u>Given</u>:
Given that the figure is a triangular prism.
The length of the prism is 4 m.
The base of the triangle is 2.5 m.
The height of the triangle is 2.25 m.
We need to determine the volume of the triangular prism.
<u>Volume of the triangular prism:</u>
The volume of the triangular prism can be determined using the formula,
where b is the base of the triangle,
h is the height of the triangle and
l is the length of the prism.
Substituting b = 2.5, h = 2.25 and l = 4 in the above formula, we get;
Thus, the volume of the triangular prism is 11.25 m³
Answer:
132.233 ft2
Step-by-step explanation:
Let's call the width of the rectangle 'w' and the length 'x'. So the area of the semicircle is:
And the area of the rectangle is:
If the perimeter of the window is 41 feet, we have:
Now, the equation for the total area of the window is:
To find the maximum area, we can find the x-coordinate of the vertex of the quadratic equation:
So the width that gives us the maximum area of the window is 6.45 feet, and the area will be:
We are given this equation :
We have to solve it for y, so we need to isolate y on the left side,
first we have 3x on the left side in addition, so when we take it to the right side we apply opposite operation that is subtract 3x
Next y is in multiplication with 5, so we apply opposite operation of multiplication that is division, so dividing right side by 5
