Answer:
Step-by-step explanation:
sec x( cotx + cos x )= csc x+ 1
1/cos x( cosx/ sinx +cosx) = csc x+ 1
1/cosx ( cosx + sinxcosx/sinx) = csc x+ 1
1/cosx( cosx) ( 1+sinx/sinx) = csc x+ 1
1(1/sinx+1) = csc x+ 1
cscx +1= = csc x+ 1
121/100 is the answer. it cant be simplified anymore
Answer:
solution is (- 3, 5 )
Step-by-step explanation:
given the 2 equations
6x - y = - 23 → (1)
8x + 3y = - 9 → (2)
rearrange (1) expressing y in terms of x
y = 6x + 23 → (3)
Substitute y = 6x + 23 into (2)
8x + 3(6x + 23 ) = - 9
8x + 18x + 69 = - 9
26x + 69 = - 9 ( subtract 69 from both sides )
26x = - 78 ( divide both sides by 26 )
x = - 3
substitute x = - 3 into (3)
y = (6 × - 3 ) + 23 = - 18 + 23 = 5
solution is (- 3, 5 )
It defines the sequence as a formula<span> in terms of n. ... Sequence: {10, 15, 20, 25, 30, 35, ...}. Find an </span>explicit formula<span>. This example is an arithmetic sequence(the same number, 5, is added to each term to get to the next term).</span>
Answer:
260
Step-by-step explanation:
Number of hours in one year = 365 x 24 x 60 = 525600
(365 days, 24 hours per day, 60 minutes per hour)
One prize is won every 2018 minutes so in 525600 minutes
525600 / 2018 = 260 prizes will be won (The answer is 260.46, which rounds to 260)
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