Answer:
Step-by-step explanation:
Given is a trignometric equation in x, as

TO make it in one trig ratio, we can replace sin2x as 2sinx cosx
WE get now


Principal solution is 
x = ±π/2 + 2kπ, where k is any integer or
x=±pi/6 +k pi, where k is any integer.
General solution is
Answer:
2.4 hr. = time working together
Step-by-step explanation:
Let x = time working together
x/6 = work done by Martin
x/4 = work done by Victor
Martin's part + Victor's part = 1 jog done
x/6 + x/4 = 1 Multiply thru by 12
2x + 3x = 12
5x = 12
x = 2.4 hr.
Answer:
0.875 = 7/8 and it is terminating
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
For a = <xa, ya> and b = <xb, yb>, the dot product is the sum of products ...
a·b = (xa)(xb) + (ya)(yb)
Substituting the given information, you have ...
a·b = 5·4 + 2·5 = 20 + 10
a·b = 30
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Some graphing calculators can do such math. There are also dot product calculators available on the Internet. If you have quite a few of these to calculate, you can put the appropriate formula into a spreadsheet.
You take the length times the width to get the area.