Answer:
Step-by-step explanation:
cos (2α)*sin (α-β)-cos(β-α)*sin(2α)
cos (β-α)=cos {-(α-β)}=cos (α-β)
[cos (-x)=cos x]
sin(α-β)*cos (2α)-cos (α-β)*sin (2α)=sin (α-β-2α)=sin (-α-β)
=sin {-(α+β)}
=-sin (α+β)
The required inequality is 
<em><u>Solution:</u></em>
Given that,
Cost of 1 cap = $ 5
Cost of 1 t-shirt = $ 10
Let "x" be the number of caps sold
Let "y" be the number of t-shirts sold
The drama club needs to raise at least $500.00 for the trip
Based on this information, we can frame a inequality as:
number of caps sold x cost of 1 cap + number of shirts sold x cost of 1 shirt
500
Which means,

Here we used "greater than or equal to" symbol , because club needs to raise at least $ 500
They can raise 500 or more than $ 500 also
Thus the required inequality is 
Answer:
50
Step-by-step explanation:
[15 ÷ 5 • 3 + (2³ – 3)] + [4 • (36 – 3³)]
[3 × 3 + (8 - 3)] + [4 × (36 - 27)]
(9 + 5) + (4 × 9)
14 + 36
50
<span>The sum of the interior angles of a triangle is 180 degrees
</span>
4x + 5x + 6x = 180
15x = 180
x = 180/15
x = 12
<span>The measure of the smallest angle = 4x = 4*12 = 48</span>°