Answer:
or , where is an integer.
There are three such angles between and : , , and .
Step-by-step explanation:
By the double angle identity of sines:
.
Rewrite the original equation with this identity:
Note, that and share the common factor . On the other hand, and share the common factor . Combine these terms pairwise using the two common factors:
Note the new common factor . Therefore:
This equation holds as long as either or is zero. Let be an integer. Accordingly:
Any that fits into at least one of these patterns will satisfy the equation. These pattern can be further combined:
19.2
76.8
density × volume = mass
mass = 62.4 × (pi × (40/2)² × h)
mass = 78,374.4h
WD = m×9.8×h = 9.8mh
WD = 768,069.12h²
At h = 5
WD = 768,069.12×5²
= 19,201,728 ft-lb
= 19.2 million ft-lb
At h = 10
WD = 76,806,9.12 × 10²
WD = 76,806,912 ft-lb
= 76.8 million ft-lb
36
Sean purchased a printer and laptop
He sold both for 1,500
He sold the laptop at 1,350
Therefore the cost of the printer can be calculated as follows
1500-1350
= 150
24/100×150
= 0.24×150
= 36
Henve the cost of the printer is £36
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