CPhill

The sides of the square are equal......she needs  4 * 7  = 28 ft

OK, Katie

0.27%  = move the decimal two places to the left and drop the % sign =

0 .0027

2.625 of what number is 8.00625

2.625 N  = 8.00625        divide both sides by  2.625

N = 8.00625 / 2.625  =  3.05   is the number

7.1*10^6 over 8.2*10^1  =

[7.1 / 8.2] * [10^6 / 10^1]  =

.8658536585 * 10^5  =

86585.36585 .......  and the decimal part repeats

85 + 10% of 85 + 10% of 85 =

85 + 8.5 + 8.5 =

85 + 17 =

102

9x+1/2y=51

7x+1/3y=39

There are several ways to do this......here's my approach

Multiply the top equation by 2 and the bottom by 3......this gives us.....

18x + y  = 102       (1)

21x + y  = 117      (2)

Rearranging (1)  we have    y = 102 - 18x   .......now.....put this into (2) for y

21x + [102 - 18x]  = 117  simplify

3x + 102  = 117     subtract 102 from each side

3x = 15                 divide by 3

x = 5

And, using y = 102 - 18(x) , we have......y = 102 - 18(5)  = 102 - 90   = 12

So....(x, y) = (5, 12)

sqrt (7^2 + 24^2)  =

sqrt(49 + 576)  =

sqrt (625)  =

sqrt(25 * 25)  =

sqrt(25) * sqrt(25)  =

5 * 5  =

25

0.3 * 3/8  =

3/10 * 3/8  =

9/80

We know an angle and it's opposite side.....we can use the sine to find the rider's travel distance [the hypotenuse]

sin (22.3)  = 2600 / hypotenuse         rearrange

hypotenuse  = 2600 / sin (22.3)  = about 6582 ft