Ross wants to cut a 40-foot rope into two pieces so that the length of the first piece divided by the length of the second piece is 2.
a. let x represent the length of the first piece. write an equation that represents the relationship between the pieces as stated above.
b. what values of x are not permissible in this equation? describe within the context of the problem what situation is occurring if x were to equal this value(s). rewrite as a system of equations to exclude the value(s).
c. solve the equation to obtain the lengths of the two pieces of rope. (round to the nearest tenth if necessary.)

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation:

the radius is 2 times the diameter.

step-by-step explanation:

answer: cos [   arcsin (3/5) - arccos (1/2) ] =

step-by-step explanation: × = 3/5 = 0.6--> x = 36.87 and x = 180 - 36.87 = 143.13 deg

cos y = 1/2 --> y = +- 60 deg a. cos (x - y) = cos (143.13 - 60) = cos 83,13  

=

0.12

b. cos (36.87 - 60) = cos (-23.23) = 0.92

$113.42

i hope that is right.

step-by-step explanation: