Me on this problem:
karen collects 6/7 qt rainwater. she uses 1/2 of the water to clean her bicycle and uses the remaining water equally for 3 houseplants. what volume of water does she use for each houseplant?

Step-by-step explanation:

Givens:

After she uses water to clean the bicycle, the remaining would be the difference between

So, after she cleans her bicycle, the remaining of water would be 5/14.

Now, if she uses this remaining water for 3 houseplants, we just have to divide by 3:

Therefore, Karen uses 5/42 of volume of water for each houseplant.

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.