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Alla [95]
3 years ago
7

Two green faucets take 4 hours together to fill a deposit. Two other blue faucets take half together. How long does it take to f

ill the tank with a blue and a green tap together?
Mathematics
1 answer:
EleoNora [17]3 years ago
7 0
It should take 2 hours to fill a tank
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For which acute angle are the sine of the angle and cosine of the angle equal? 30º 45º 60º 75º
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Hello

sin ..... | 0° |30°|45°|60°|90°|
...........| 0...| 1..| 2..|  3..| 4..|  write numbers
...........| 0...| 1..|√2.| √3 | 2..| take root square
...........| 0...|1/2|√2/2|√3/2|1| divide by 2
...........| 0...|1/2|√2/2|√3/2|1| .....
cos.....| 90°|60°|45°|30°| 0°|

sin (75°)
=sin(30°+45°)=sin 30°*cos 45° +cos 30°*sin 45°
....................  =1/2*√2/2            +  √3/2*√2/2
....................   = √2(1+√3)/4

cos 75°
=cos(30°+45°)=cos 30°*cos 45°-sin 30°*cos 45°
=√3/2*√2/2-1/2*√2/2
=√6/4-√2/4=√2/4*(√3 -1 )

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3 years ago
Equations and inequalities
DerKrebs [107]
Inequalities and equations use similar steps to solve, but inequalities give a range of numbers that can represent the variable while an equation will give a direct answer.

Example:

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First you would subtract 4 or add the opposite of 4 from 24.

4+5x=24
+(-4) +(-4)
—————
5x=20

Then divide each side by 5 or multiply each side by the reciprocal of 5 to isolate the variable.

1/5*5x=20*1/5 (reciprocal)
X= 4

You would use the same steps in an inequality but end up with a different sign.
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