Answer:
4851
Step-by-step explanation:
the common difference is 9
33rd term = 3 + 32 * 9 = 291
sum of first 33rd terms = 33/2 ( 3 + 291) = 4851
The answer is:
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" 3 < x < 4 " ; or; write as: " 4 > x > 3 " .
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Explanation:
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Given:
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" 4 < 2x + 10 < 18 " ,
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Divide the entire inequality by "2" to simplify:
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{4 < 2x+10 < 18 } / 2 ;
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2 < x+5 <9
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First, we have:
2<x+5 ;
Subtract "2" form each side:
(2-2) < (x + 5 - 2) ;
0 < x - 3 ;
Add "3" to each side:
0 + 3 < x - 3 + 3 ;
3 < x
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Then we have;
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x + 5 < 9 ;
Subtract "5" from each side;
x + 5 - 5 < 9 - 5 ;
x < 4
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So, we have:
3 < x and x < 4
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We can combine these; and write as:
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" 3 < x < 4 " ;
or: write as: " 4 > x > 3 " .
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Answer:
x = 120°
Step-by-step explanation:
We are given;
sec²x + 4secx = -4
Rearranging gives;
sec²x + 4secx + 4 = 0
Factorizing the left hand side gives;
(sec x + 2)(sec x + 2) = 0
This means that;
(sec x + 2) = 0
From trigonometry, we know that sec x = 1/cos x
Thus;
(1/cos x) + 2 = 0
1/cos x = -2
cos x = -1/2
cos x = -0.5
x = cos^(-1) -0.5
x = 120°
1/6 + 2/3=
1/6+4/6 being 6 the common denominator
5/6 which is in simplest form