SOLUTION: 1. 17 degrees 49 minutes and 10 seconds added to 22 degrees 22 minutes and 59 seconds, equals to? 2. To what power must 10 be raised to equal 100,000? 3.Area of a right circu

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: 1. 17 degrees 49 minutes and 10 seconds added to 22 degrees 22 minutes and 59 seconds, equals to? 2. To what power must 10 be raised to equal 100,000? 3.Area of a right circu      Log On


   



Question 560584: 1. 17 degrees 49 minutes and 10 seconds added to 22 degrees 22 minutes and 59 seconds, equals to?
2. To what power must 10 be raised to equal 100,000?
3.Area of a right circular cone of base radius r, and height l, is
4.The supplement of 13 degrees is
5.64y = 64

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

1. 17 degrees 49 minutes and 10 seconds added to 22 degrees 22 minutes and 59 seconds, equals to?
      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"


2. To what power must 10 be raised to equal 100,000?
Count the zeros in 100,000.  There are 5 of them.  Therefore 
105 = 100,000.  Answer: the fifth power. 


3. Area of a right circular cone of base radius r, and height l, is
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%2Ar%2Al 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%28r%B2%2Bh%B2%29 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%2Ar%5E2. Thus the total surface area of a right circular cone is:

SA+=+pi%2Ar%5E2+%2B+pi%2Ar%2Al or
SA+=+pi%2Ar%28r+%2B+l%29
 

4.The supplement of 13 degrees is

180° - 13° = 167°

5. 64y = 64
 
Divide both sides by 64

       64y%2F64 = 64%2F64

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

       cross%2864%29y%2Fcross%2864%29 = 64%2F64
       
or       y = 1      

Edwin