Step-by-step explanation:
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Three-fourths of a number increased by one-half
= 3/4 x + 1/2
So three-fourths of a number increased by one-half is equal to fourteen:
3/4 x + 1/2 = 14
Multiply both sides by 4
3x + 2 = 56
Subtract 2 from both sides
3x = 54
Divide both sides by 3
x = 18
Answer: The number is 18
Answer:
Perimeter = 14
Area = 
Step-by-step explanation:
a) & b) is yes, c) is no. hope you have a good day
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