Lana makes $8 an hour plus $12 an hour for every hour of overtime. Overtime hours are any hours more than 40 hours for the week.
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;
2 × 5 × sin( π / 12 ) = 10 × sin ( π / 12 ) ;
π/12 = ( 180° ) / 12 = 15°.
<span>
But, sin ( π/12 ) </span>
<span>= sin 15° </span>
<span>= sin ( 45° - 30°) </span>
<span>= sin 45°· cos 30° - cos 45°· sin 30° </span>
<span>= (1/√2)·(√3 /2 ) - (1/√2)·(1/2) </span>
<span>= ( √3 - 1 ) / (2√2) = </span>
;
Finally, ( 2.5 ) × ( 2.4 - 1.4 ) = 2.5 cm ;
2 × 5 × sin( π / 12 ) = 10 × sin ( π / 12 ) ;
π/12 = ( 180° ) / 12 = 15°.
<span>
But, sin ( π/12 ) </span>
<span>= sin 15° </span>
<span>= sin ( 45° - 30°) </span>
<span>= sin 45°· cos 30° - cos 45°· sin 30° </span>
<span>= (1/√2)·(√3 /2 ) - (1/√2)·(1/2) </span>
<span>= ( √3 - 1 ) / (2√2) = </span>
Finally, ( 2.5 ) × ( 2.4 - 1.4 ) = 2.5 cm ;
The complete factorized expression is (2 + 2a + 3b) (2 - 2a + 3b).
Take a look at the attachment to see how I got this solution.
Take a look at the attachment to see how I got this solution.