Assuming that we are talking about radians, tan(5/6) = about 1.1

However.....I think you might have meant.... tan(5pi/6)......if so....this is the same as tan(150°) = -1/√3

LOL!!!

It's a fancy term for a  "lampshade"...........LOL!!!

I don't see any choices, but the answer is

9.45 x 10⁶

The volume of a frustum is gven by.....

V = (pi*h/3)(R² + Rr + r²) 

Where h is the height, R , r are the larger and smaller radii, respectively 

So.... h = 25   R = 15 and r = 7.5......so we have

V = pi*(25/3)(15² + (15)(7.5) + 7.5²) .......using the on-site calculator

$${\mathtt{\pi}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{25}}}{{\mathtt{3}}}}{\mathtt{\,\times\,}}\left({{\mathtt{15}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}\left({\mathtt{15}}{\mathtt{\,\times\,}}{\mathtt{7.5}}\right){\mathtt{\,\small\textbf+\,}}{{\mathtt{7.5}}}^{{\mathtt{2}}}\right)\right) = {\mathtt{10\,308.350\: \!894\: \!591\: \!509\: \!063\: \!7}}$$

about 10,308.35 cm³

It is "Oiler," Melody......there remains a debate about who the greater mathematician was, Euler or Gauss. Euler was certainly more prolific in his output, even in his advanced years (when he was almost totally blind).....(I might throw Archimedes into the debate, as well !!!)

I get something a little different from Alan, here

The beginning population number doesn't matter, so the first part is.....

2.38P = Pe^.014t    divide by P and  take the ln of both sides

ln(2.38) = lne^.014t     and by a log property, we have  (remember, lne = 1)

ln(2.38) =.014t   divide both sides by .014

ln(2.38)/.014 = t = 61.9357 years

3×| 4 - 5|×| 15| - | - 2| =

3 x (1) x 15 - 2 =

3 x 15 - 2 =

45 - 2 =

43

Nicely done, Alan....I remember this kind of problem, but I couldn't remember the set-up. Thanks for jogging my (increasingly fading) memory!!!

C(n) =75n² - 1800n + 60 000....if you have had Calculus, this can be determined rather quickly.....but let's assume you haven't......

This function is a parabola that turns "upward"....the quantity that will minimize the cost will be the x coordinate of the vertex (the point at the "bottom" of the curve) found by this "formula"...

x =  - b/2a       in our function, b = -1800    and a = 75    .....therefore.....

-(-1800)/[2(75)] = 1800/150 = 12 items