cos(2π/15) cos(4π/15) cos(8π/15) cos(14π/15) <span>
= cos(2π/15) cos(4π/15) cos(8π/15) cos(π – (π/15))
= cos(2π/15) cos(4π/15) cos(8π/15) * -cos(π/15)
= -cos(π/15) cos(2π/15) cos(4π/15) cos(8π/15)
= -16sin(π/15) cos(π/15) cos(2π/15) cos(4π/15) cos(8π/15) / [
16 sin(π/15) ]
= -8 * [ 2sin(π/15) cos(π/15) ] cos(2π/15) cos(4π/15)
cos(8π/15) / [ 16 sin(π/15) ]
= -8 sin(2π/15) cos(2π/15) cos(4π/15) cos(8π/15) / [ 16
sin(π/15) ]
= -4 * [ 2 sin(2π/15) cos(2π/15) ] cos(4π/15) cos(8π/15) / [
16 sin(π/15) ]
= -4 sin(4π/15) cos(4π/15) cos(8π/15) / [ 16 sin(π/15) ]
= -2 * [2 sin(4π/15) cos(4π/15) ] cos(8π/15) / [ 16 sin(π/15)
]
= -2 sin(8π/15) cos(8π/15) / [ 16 sin(π/15) ]
= -sin(16π/15) / [ 16 sin(π/15) ]
= -sin(π + π/15) / [ 16 sin(π/15) ]
= -1 * -sin(π/15) / [ 16 sin(π/15) ]
<span>= 1/16</span></span>
In a book about birds, there is a drawing of a sea eagle that shows a wingspan of 2.8 cm. If the book says the scale is 1:90, what is the actual wingspan of the sea eagle.
Answer:
2.52
Part (a)=======
See the attached figure which represents the problem.
So, we can note that there are 3 hours increase from <span>Monday thru Friday
</span>
and 4 hours increase in both of Saturday and Sunday
So, <span>
the increase in total hours opened = 3*5 + 4*2 = 23 hours</span>
<span>======================================================
</span>
<span>
Part (b):</span>
<span>=====
</span>
<span>weekly original payroll $ 385
</span>
Total working of old hours = 9 * 5 + 5 * 2 = 55 hours
so, the hourly payroll = 385/55 = $ 7
<span>Assume the hourly wage will stay the same
</span>
Total working of new hours = 55 + 23 = 78 hours
So, the total weekly pay under the new hours = 78 * 7 = $ 546=====================================================
Part (c):
========
The total pay for old hours = $ 385
The total pay for new hours = $ 546
The increase in the total pay = 546 - 385 = $ 161
<span>
The percentage increase in total pay = </span>
Answer:
a fractional exponent in which the numerator of the fractional exponent is the power of the base and the denominator of the fractional exponent is the index of the radical.
Step-by-step explanation:
Step-by-step explanation:
dividing every number by 10.
100:15:50
dividing every number by 5.
20:3:10.
this is the lowest term.
hope this helps you.