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1. sin (60°)  =  √3 / 2

2.  6 √3

Proof  

sin 60   =  x / 12

√3 / 2  =  x /12

12 * √3 / 2    = x

6 √3   =   x

3.  In a 45-45-90 triangle......the hypotenuse is √ 2   times as long as either leg

So  x  =  (7√2 ) √2   =   7 * 2   =   14

Sine and cosine are co-functions.....

sin (90- theta)  =  cos(theta)

sin (90-73)  = cos(73)

sin (16°)  =  cos (73°)

For the second one, we are given an angle, the hypotenuse and we are trying to find the adjacent side......the cosine seems appropriate

cos (39)  = x / 17   multiply both sides by 17

17 * cos(39)  = x  ≈  13.2 m

It's correct!

We know the adjacent side = 15 and the hypotenuse  = 29

So....we can use the cosine inverse to find x

arccos (15/29)  = x  ≈   58.85°

I apologize, I'm new here. 

#3

I count 19, tertre........

See what you think....

For either of the two angles in a right triangle, other than the right angle itself, sin(angle)=opposite over hypotenuse, cos(angle)=adjacent over hypotenuse, and tan(angle)=opposite over adjacent

1.  sin(26.5)=y/15      y=15*sin(26.5) ≈ 6.69 ft

2. sin(theta)=8/17, cos(theta)=15/17, tan(theta)=8/15

3. not answerable - there is no figure showing x

I  assume this  is :

3^{x + 3}  =  7776         and we can write

3^3 * 3^x  = 7776         divide both sides by 3^3  = 27

3^x   =  288             take the log of both sides

log 3^x   = log (288)     and we can write

x * log 3  =  log (288)       divide both sides by log 3

x  =  log (288)  / log (3)   ≈  5.155

the equation that i have to solve is 3^x+3=7776

Ha that was funny!

Post the problem......it's hard to tell what you're referrring to.......

I like your first answer, guest.....a very intuitive twist on Gauss....!!!

Well......I didn't spell it at all.......LOL!!!!!!!

Noooo you should have best answer!!

I misspelled litres—that's not best answer quality !! 

200ml x 6 times a day x 7 days per week  =

200ml  x 42   =

8400ml  per week  =   8.4 L  per week

200 ml * 6 meals = 1200 ml a day.

1200 ml a day * 7 days a week = 8400 ml a week

8400 ml = 8.4 lires

sorry ten

?????????????????????

7 

Becasue look first they are in a tank right???

Well they can't swin out so swim away is 0 fish gone and second fish can't drown so the five fish that died are the ones that are still in the tank so it is still ten fish ;P.

I've heard this one before....

I'm guessing the answer is 7 fish????

There is 10 fish in a tank 3 swam away 5 dies 3 drowns.

How many fish are left in the tank??

Ohhh duh, thanks so much :)