Alphonse wants to put a border around his bedroom that measures 5 feet by 10 feet He has 6 feet of border already, and needs to purchase more to complete the border around her room. The store sells border in lengths of 3 feet. How many lengths of border does he need to buy to finish the room?

Explanation:

L = length = 10 ft

W = width = 5 ft

P = perimeter

P = 2*(L+W)

P = 2*(10+5)

P = 30

The perimeter of his bedroom is 30 feet. He already has 6 feet done so far, so he needs 30-6 = 24 more additional feet of border.

Let x = number of batches, where 1 batch is 3 feet of border material

1 batch = 3 feet

2 batches = 6 feet (multiply both sides by 2)

and so on

In general,

x batches = 3x feet

3x feet = 24 feet

3x = 24

x = 24/3

x = 8

He needs to buy 8 batches of border material.

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

first one because it can't have a fraction in it

step-by-step explanation: