Sin 20.sin 10 as sum or difference

see explanation

Step-by-step explanation:

The difference identity for the product is

sinxsiny = [ cos(x - y) - cos(x + y) ], thus

sin20sin10

= [ cos(20 - 10) - cos(20 + 10) ]

= ( cos10 - cos30 )

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the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet