( 1/3+1 1/16-13/24+1/8)x96

94

Step-by-step explanation: I use a calculator

We must first evaluate the expression in parentheses (remember our order of operations, PEMDAS).  To do this, we must find a common denominator.

The first thing that 3, 16, 24 and 8 will all divide into is 48; we must convert each fraction to 48ths.

It takes 16 3's to make 48; this means we multiply the top and bottom of this fraction by 16.  This gives us 16/48.

It takes 3 16's to make 48; this means we multiply the top and bottom of this fraction by 3.  This gives us 1 3/48.

It takes 2 24's to make 48; this means we multiply the top and bottom of this fraction by 2.  This gives us -26/48.

It takes 6 8's to make 48; this means we multiply the top and bottom of this fraction by 6.  This gives us 6/48.

This means we have

(16/48 + 1 3/48 - 26/48 + 6/48)(96)

(1 19/48 - 26/48 + 6/48)(96)

(67/48 - 26/48 + 6/48)(96)

(41/48 + 6/48)(96)

47/48(96) = (47*96)/(48) = 47*2 = 94

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

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)