The area of the triangle is 3 because b•h/2, and the area of the rectangle is 3 because l•w, added together that equals 6, and doubled that equals 12. So I think the answer is C, 12 square feet.
90/9 = 10, the length of the pool. This can be proven as 10 x 9 = 90²
Hello there! The axis of symmetry is the vertical line where the parabola can be divided and there are two equal halves. The vertex is on that line. The point where this occurs is all in the positive range, so that eliminates B, C, and D. (0.5, 4.25) is the vertex and 0.5 is the axis of symmetry. The answer is A. Your answer is correct.
<span>Generate a function for the height of the cyliner as a function of radius. Use this function to generate a function of r for the material used. Take the derivative of that function, set it to zero, and solve for r.
</span><span>V=π<span>r2</span>h</span>h=d
h=d=2r
h=2r
<span>V=π<span>r2</span>2r
</span><span>V(r,h)=180.5=π<span>r2</span>h⟹h=<span>180.5/<span>π<span>r2</span></span></span></span><span>⟹A(r)=r(r+h)=<span>r2</span>+<span>180.5/<span>πr
</span></span></span><span>A(r)=2r(2r+h)=4<span>r2</span>+<span>361/<span>πr
</span></span></span>
<span><span>A′</span>(r)=8r−<span>361/<span>π<span>r2</span></span></span></span>
