CPhill

HAHAHAHA !!!

I beat you, heureka  !!!

LOL !!!!

The person consumes

5.4x10^5 kcal / 3.7x10^6 kcal = 1.459 x 10^-1   =  about .1459 barrels per day

So

365 x .1459 =  about 53.2535 barrels per year

Using the Law of Cosines, we have

C^2 =

 $${{\mathtt{10}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{6.5}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}{\mathtt{2}}{\mathtt{\,\times\,}}\left({\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{6.5}}\right){\mathtt{\,\times\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{cos}}{\left({\mathtt{108}}^\circ\right)} = {\mathtt{182.422\: \!209\: \!268\: \!75}}$$

C =

 $${\sqrt{{\mathtt{182.422\: \!209\: \!268\: \!75}}}} = {\mathtt{13.506\: \!376\: \!615\: \!093\: \!701\: \!7}}$$

Here's the Venn diagram for the situation....

The percent surveyed that had a cell phone was 234 / 528 = about 44.3%

The percent that owmed only a cell phone was  55 / 528 = about 10.4%

Yeah...what she said.....

Very nice, Melody...!!

From the first observation, we have

tan 36 = h / x      where h is the height of the tree and x is the distance the tree is from the first observation point

And solving for x, we have  x = h / tan 36

And from the second observation, we have

tan 65 = h / (x - 20)    and solving for x, we have

(x - 20) tan 65 = h     

x - 20 = h /tan 65 

x = h / tan 65 + 20 

And setting the "x's" equal, we have

h / tan 36  = h/tan 65 + 20    rearrange

h / tan 36 - h / tan 65  = 20    multiply both sides by the common denominator, (tan 65 * tan 36)

h ( tan 65 - tan 36) = 20 (tan 65 * tan 36)

h = 20(tan (65) * tan (36) ) / (tan( 65) - tan (36)) = about 21.98 ft

Here's a pic.....

Nice, saseflower....!!!

Each color occupies one-half of the circle, so the answer is given by :

(1/2) * pi *(r^2)  = (1/2) * 3.14 * 24^2 = 904.32 sq. in.

d/dx sec(x) = sec(x)tan(x)