Logarhythm

The ratio of the first solid to the second is 4:6, or 2:3.

When you square that, the ratio is 4:9, which is what we use to find the surface area of the red solid.

Surface Area of the red solid = \((\frac{3}{2})^2 \cdot 336 = \frac{3024}{4} = 756\)

Your answer is 756m²

since the volume is height x length x width, 

we can find the length by diving the volume by the width x height.

this means:
length = \(\frac{x^3 + 8^2 + 7x}{(x + 1)(x)}\)

\(= \frac{x(x^2 + 8x + 7)}{x(x + 1)}\)

\(= \frac{x^2 + 8x + 7}{x + 1}\)

\(=\frac{(x + 1)(x + 7)}{x + 1}\)

\(= (x + 7)\)

This means the length of the box is (x + 7) inches

Hope this helps :)

180(n - 2), where n = number of sides

This means the sum of the interior angles of a pentadecagon is:
180(15 - 2) 

= 180(13)
= 2340^o

If you move the triangle on the right to the triangle on the left, you make a rectangle.

This means the area is:

\((8 \cdot 2) \cdot 8 = 128\)

Which means your answer is C

Since it's a 45 45 90 triangle, x = \(35 \cdot \sqrt{2} = 35\sqrt{2}\)

BC = \(\sqrt{20^2 + 48^2} = \sqrt{2704} = 52\)

AB = \(\sqrt{10^2 + 52^2} = \sqrt{2804} ≈ 52.95 ≈ 53\)

Surface area of the figure = \(2(5 \cdot 14 + 16 \cdot 14 + 16 \cdot 5) = 2(70 + 224 + 80) = 2(374) = 748\)

Which means your answer is 748 ft²

\(6^{(3t - 1)} = 36^t\)

\(6^{(3t - 1)} = 6^{2t}\)

\(3t - 1 = 2t\)

\(t = 1\)