Step-by-step explanation:
4x + 0.2=0.9
transposing 0.2 to RHS
=> 4x =0.9-0.2 => 4x=0.7
transposing 4 to RHS
=> x=0.7÷4
=> x=0.175
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Answer:
18.7 feet far
Step-by-step explanation:
Based on the information given we can conclude that our set up will be a Right triangle (i.e. one angle is 90°), where the hypotenuse will be denoted by the guy wire of
and angle of 21° is the angle formed between then hypotenuse and the base (i.e. ground).
Thus we want to find the base length (lets call it
) of this triangle, so we can use trigonometry as we have one angle and the hypotenuse, as follow:

So the base is approximately 18.7 feet far from the tree of the anchored wire.
1.5(x + 4) - 3 = 3.5(x - 2)
We need to use the distributive property to simplify this.
1.5x + 6 - 3 = 3.5x - 7
<em><u>Subtract 1.5x from both sides</u></em>
6 - 3 = 2x - 7
<em><u>Simplify left side</u></em>
3 = 2x - 7
<em><u>Add 7 to both sides</u></em>
10 = 2x
<em><u>Divide both sides by 2</u></em>
x = 5
C is the answer. The height of a cylinder is the perpendicular distance between the bases.