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                                                                 y₂ – y₁     

Actually, the slope formula is         m  =  ––––––––     

                                                                 x₂ – x₁     

_.     

The answer is 2.

Tiggsy I believe you misunderstood the problem. The pentagon is concave, therefore instead of adding 60+90, it is 90-60=30 degrees. The rest of your solution is correct though.

The answer is 1 + sqrt(3).

The answer is 6.

40 * 6 * 75 * 12  =

40 * 6 *  [3 *25] * [ 3 *4 ]  =

40 * 6 * [ 3 * 3 ] * [ 25 * 4]  = 

6 * 40 *  9 *  100 =

54 * 4000  = 

54 * 4 * 1000  =

216 * 10^3

3 terminal 0's

   Tom's Diner had 10 entrees on the menu.     

   The prices were: $5.00 $5.00 $5.00 $7.00 $6.00 $9.00 $8.00 $9.00 $8.00 $8.00     

   What was the mean entree price      

   $5.00 + $5.00 + $5.00 + $7.00 + $6.00 + $9.00 + $8.00 + $9.00 + $8.00 + $8.00  =  $70.00     

   $70.00 / 10  =  $7.00     

 _.     

mya takes a dive from the springboard at a swimming pool. the board is 3 1/2 feet above the surface of the water.     

The total length of her dive is 8 3.4 feet. how far below the surface of the water is mya at the end of the dive?     

Total dive  =  Distance above the water  +  Distance below the water     

8 ³/₄ ft  =  3 ¹/₂ ft  +  D_belowwater     

D_belowwater  =  8 ³/₄ ft  –  3 ¹/₂ ft     

D_belowwater  =  5 ¹/₄ ft     

_.     

The answer is (2).

The answer is 3.

Angles A and B are each 90 degrees, and given that the sides of the pentagon are of equal length, (draw a diagram,) it follows that ABCE form a square. The other two sides of the pentagon CD and DE, together form an equilateral triangle with CE.

The angle E is made up of 90 degrees from the square and 60 degrees from the equilateral triangle, 150 degrees in all.

Siva walks 1 side length (10)  and two diagonal lengths 

The diagonal length can be found using the Pythagorean Theorem 

d^2 = s^2 + s^2 

d^2 = 10^2 + 10^2 

d^2 = 200

d = sqrt 200 = 14.14                        so total walking distance is   10 +  2 * (14.14) = 38.3 feet

There are 25 possible choices  ( w = with)  

 1    w    1 2 3 4 5 

 2    w    1 2 3 4 5

 3    w    1 2 3 4 5 

 4    w    1 2 3 4 5

 5    w    1 2 3 4 5               the bold choices produce a product 4 or greater     20 out of 25 choices    is  20/25 =  4/5 = .80 = 80 % 

                                                                                                                                                                              ( pick your format)  

The answer is 15/8.

The answer is 6.