5 .0625 = 5 + 625/10000 = 5 + 1/16 = 5 1/16 = 81/16
You have an equation relating TWO variables.....there are infinite answers to this......if you need ONE discreet answer , you will need another equation relating the two variables (x,y)....
If you pick ANY value for 'x' there will be another value for 'y' that will work.....infinite answers !
2056 in - 3214 in = -1158 in or 1158 inches DOWN Did you leave out a decimal point in your question (I ask because it is requested to give the answer as a mixed number)
9^x = (1/3)^(x+3) Take log of both sides
x log 9 = (x+3) log (1/3)
x/(x+3) = log(1/3)/(log 9)
x/(x+3) = - 0.5
x = -.5 x - 1.5
1.5x = -1.5
x = -1
2/5 x = 3/20 Multiply both sides by 5/2
x = 3/20 * 5/2 = 15/40 = 3/8
The observer , the cliff base and the ship form a right triangle ...we are looking for the second leg of the triangle given 40 is the first leg
the 40 is opposite of the 25 degree angle ....
Tan 25 = 40/x
x = 40/tan25 =~ 86 m (to the mearest m)
2 csc x + 5 = 1
2 csc x = -4
csc x = - 2
1/sin x = -2
sin x = - 1/2
x = 7pi/6 11 pi/6 for x = 0---> 2pi
Zero point 4 is 0.4 is 4/10 is 2/5
FIRST add 6 to both sides of the equation and you will have
4x^2 = 63 now divide both sides by 4
x^2 = 63/4 sqrt both sides
x = +- sqrt(63/4)= +- sqrt63)/2 = +- 3/2 sqrt 7
I get x = - 1/6
