Answer:
Step-by-step explanation:
3(x + 4) - 5 = 2x + 4
solve for x
x = -3
<h3>
Answer: 5 cm</h3>
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Explanation:
Recall that the range for cosine is from -1 to 1, including both endpoints. The smallest cosine value is what we're after, since we want the height to be as small as possible (to allow the blade be closest to the table).
Effectively, this means we replace the cos(x) with -1 so that it's as small as possible. Then we compute to get:
20*cos(x)+25
20*(-1) + 25
-20 + 25
5
The height of the fan tip is 5 cm when it is the closest to the table.
Side note: On the flip side, the furthest away the fan tip can get is 20*(1) + 25 = 45 cm. Therefore, the range of y values is 
Short Answer: 1.5
Givens
OA = 12
OB = 9
O does not lie on AB
Argument
The order that these lines must be in is OBA. O is on your left, B is in the middle and A is on your right.
Mark your distances as follows.
OB = 9
BA = 3
Mark the midpoint of OA = M1
Mark the midpoint of OB = M2
M1 = 12 / 2 = 6 so M1 is 6 units from O
M2 = 9/2 = 4.5
The distance between the two midpoints is 6 - 4.5 = 1.5
Answer M1 - M2 = 1.5 <<<<
Nice problem: Thanks for posting.
As a mixed number 3 29/100 or as an improper fraction 329/100