Use the addition and subtraction theorem:
sin (A + B) = sin A + cos B
sin (A - B) = sin A - cos B
From there it's just a matter of simplification.
sin A cos B = 1/2 [ sin (A + B) + sin (A - B) ]
sin A cos B = 1/2 [ sin A cos B + cos A sin B + sin (A - B) ]
sin A cos B = 1/2 [ sin A cos B + cos A sin B + sin A cos B - cos A sin B ]
sin A cos B = 1/2 [ 2 sin A cos B ]
sin A cos B = sin A cos B
Answer:
329.5
Step-by-step explanation:
From the table we see that the common difference d = 0.5 - (-6.5)
= 7, and 7.5 - 0.5 = 7. Also 14.5 - 7.5 = 7.
The first term a1 = -6.5.
The nth term = a1 + (n - 1)d so for our sequence we have:
49th term = -6.5 + (49 - 1)7
= -6.5 + 48 * 7
= -6.5 + 336
= 329.5 (answer).
Answer:
Margin of Error = 0.5
Step-by-step explanation:
Using this formula Z (s/√n)
Where
S = 1.8----------------------------- Standard Deviation
n = 36 ----------------------------------Number of observation
Z = 1.645 ------------------------------The chosen Z-value from the confidence table below
Confidence Interval || Z
80%. || 1.282
85% || 1.440
90%. || 1.645
95%. || 1.960
99%. || 2.576
99.5% || 2.807
99.9%. || 3.291
Substituting these values in the formula
Margin of Error = 1.645 * (1.8/√36)
Margin of Error = 1.645 * (1.8/6)
Margin of Error = 1.645 * 0.3
Margin of Error = 0.4935
Margin of Error = 0.5 (Approximated)
If im correct the answer should be 5
Startfraction 7 ice x + x squared endfraction