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Solve the trigonometric equation:

Make a substitution:

and the equation becomes

Rewrite conveniently
– t as
+ t – 2t, and then factor the left-hand side by grouping:

Factor out
2t + 1:

Substitute back for
t = cos x:

Therefore,

where
k is an integer.
Solution set:

I hope this helps. =)
"In three more years,Miguel's grandfather will be six times as old as Miguel was last year. When Miguel's present age is added to his grandfather's present age, the total is 68. How old is each one now?"
Miguel is 11 years old and his grandfather is 57 years old.
Last year Miguel was 10. In three more years his grandfather would be 60. 60/6=10. 11+57=68
Answer:
This is very easy. First find the volume of the cube, and then add it to the volume of the hemisphere to find the total volume.
The volume of the cube is length x width x height: 8 x 8 x 12 = 768 cm
The volume of the hemisphere is (2/3)πr³ : (2/3)π(4)³ = 134.04 cm
*Radius is 4
Now add: 768 + 134.04 = 902.04 cm
If there is 4 thousands and 7 hundreds is 4,700