CPhill

8-25r=3     subtract 8 from both sides

-25r = -5   divide both sides by -25

r = -5/-25  = 1/5

The hypotenuse of a right triangle is 224.7m and side b measures 189.2m. Find side a

We can use the Pythagorean Theorem for this.......   "a" is given by

√[224.7² - 189.2² ]  = a = 121.2

3). A. Given that TAN(A)==1.7124, find angle A

We can use the tangent inverse to find this

tan^-1 (1.7124) = about 59.7 degrees......this could also be a 3rd quadrant angle = (180 + 59.7) = about 239.7 degrees

B. Given that SIN(A)=0.7734, find angle A

Again .....  we can use the sine inverse to find this

sin-1(.7734) = about 50.66 degrees.......this could also be a 2nd quadrant agle = (180 - 50.66) = about 129.34 degrees

You have three equal signs here !!!!

210 =

70  x 3 =

35 x 2 x 3 =

7 x 5 x 2 x 3

252 =

126 x 2 =

63 x 2 x 2 =

7 x 9 x 2 x 2 =

7 x 3 x 3 x 2 x 2 =

7 x 3² x 2²

3 eggs is 1/4 of 12

Therefore, their cost must be 1/4 of $1.12  = 28 cents

t+3t-7=4t-7     simplify the left hand side

4t - 7 = 4t - 7

Notice that the two sides are always equal...no matter what t is.....this is known as an identity.....it has infinite solutions  !!!!

1500 = 500(1 + .10)^d      where d is the number of days....divide both sides by 500

3 = (1 + .10)^d      take the log of both sides

log 3 = log (1 + .10)^d       and by a log property we can write

log 3 = d log (1 + .10)     divide both sides by log (1 + .10)

log 3 /log (1 + .10) =  d = about 11.5 days  (or 12 days, rounded)