Step-by-step explanation:
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10(3 + 5) = 10(3) + 10(5) = 30 + 50 = 80
Another way to do it:
10(3 + 5) = 10(8) = 80
Your final answer is 80.
Answer:
integers are { 3 , 4 , 5 }
Step-by-step explanation:
- 1 < 2x - 5 ≤ 5
- 1 + 5 < 2x - 5 + 5 ≤ 5 + 5 [ adding by 5 ]
4 < 2x + 0 ≤ 10
4 < 2x ≤ 10
2 < x ≤ 5 { divide by 2 ]
Therefore, integers are { 3 , 4 , 5 }
answer
10
step-by-step explanation
the equation given is sin(x) = cos(y) with x = 2k + 3 and y = 6k + 7
substitute in 2k+ 3 for x in sin(x) and substitute in 6k + 7 for y in cos(y)
sin(x) = cos(y)
sin(2k + 3) = cos(6k + 7)
we know that sin(x) = cos(90 -x)
sin(2k + 3)
= cos(90 - (2k + 3) )
= cos(90 - 2k - 3)
= cos(87 - 2k)
substitute this into the equation sin(2k + 3) = cos(6k + 7)
sin(2k + 3) = cos(6k + 7)
cos(87 - 2k) = cos(6k + 7)
87 - 2k = 6k +7
80 = 8k
k = 10
