Answer:
1. $112.72
3. $112.50
4. $16.50
5. $7.26
6. $60.44
7. $8
8. $3.25
Step-by-step explanation:
1. Multiply 14.09 by 8.
3. Multiply 12.50 by 9.
4. Multiply 5.50 by 3.
5. Add 16.50, 9.75, and 10. Subtract 28.99 from that total.
6. Add all numbers listed in the problem.
7. Divide 56 by 7.
8. Divide 71.50 by 22.
Answer:
3m=9np
Step-by-step explanation:
3m-2-5np
+4 +4
3m=9np
9-2=?
-2
x-7
Assume 0 < <em>x</em>/2 < <em>π</em>/2. Then
tan²(<em>x</em>/2) + 1 = sec²(<em>x</em>/2) ===> sec(<em>x</em>/2) = √(1 - tan²(<em>x</em>/2))
===> cos(<em>x</em>/2) = 1/√(1 - tan²(<em>x</em>/2))
===> cos(<em>x</em>/2) = 1/√(1 - <em>t</em> ²)
We also know that
sin²(<em>x</em>/2) + cos²(<em>x</em>/2) = 1 ===> sin(<em>x</em>/2) = √(1 - cos²(<em>x</em>/2))
Recall the double angle identities:
cos(<em>x</em>) = 2 cos²(<em>x</em>/2) - 1
sin(<em>x</em>) = 2 sin(<em>x</em>/2) cos(<em>x</em>/2)
Then
cos(<em>x</em>) = 2/(1 - <em>t</em> ²) - 1 = (1 + <em>t</em> ²)/(1 - <em>t</em> ²)
sin(<em>x</em>) = 2 √(1 - 1/(1 - <em>t</em> ²)) / √(1 - <em>t</em> ²) = 2<em>t</em>/(1 - <em>t</em> ²)
Answer:
=k6+
−9
/4 k5+
1
/4 k4+ −7
/4 k3+ −9
/4 k2+7k−5
Step-by-step explanation:
