Question 560584

1. 17 degrees 49 minutes and 10 seconds added to 22 degrees 22 minutes and 59 seconds, equals to?
<pre>
      17°  49'  10"
     +22°  22'  59" 
      39°  71'  69"

Subtract 60" from 69" and get 9".  Add 1' to the 71' and get 72'.
So now you have:

      39° 72'  9"

Next subtract 60' from 72' and get 12'.  Add 1° to the 39° and get 40°.
So you end up with

      40° 12'  9"

</pre>       
2. To what power must 10 be raised to equal 100,000?
<pre>
Count the zeros in 100,000.  There are 5 of them.  Therefore 
10<sup>5</sup> = 100,000.  Answer: the fifth power. 

</pre>
3. Area of a right circular cone of base radius r, and height l, is
<pre>
A cone has two dimensions that are both called "heigths".  Ususlly l is for the lateral height, and h for the actual height.  So I'm not sure what you mean, since you just said "height" but used l.

The lateral surface area of a right circular cone is {{{LSA = pi*r*l}}} where {{{r}}} is the radius of the circle at the bottom of the cone and {{{l}}} is the lateral height of the cone (given by the Pythagorean theorem {{{l=sqrt(r²+h²)}}} where {{{h}}} is the actual height of the cone). The surface area of the bottom circle of a cone is the same as for any circle, {{{pi*r^2}}}. Thus the total surface area of a right circular cone is:

{{{SA = pi*r^2 + pi*r*l}}} or
{{{SA = pi*r(r + l)}}}
 

4.The supplement of 13 degrees is

180° - 13° = 167°
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5.      64y = 64
<pre> 
Divide both sides by 64

       {{{64y/64}}} = {{{64/64}}}

Cancel the 64's onthe left and divide on the right:

       {{{cross(64)y/cross(64)}}} = {{{64/64}}}
       
or       y = 1      

Edwin</pre>