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2 years ago

12-3 (2w+1)=7w-3 (7+w)

2 answers:

8 0

$12-3(2w+1)=7w-3(7+w)\\\\
12-6w-3=7w-21-3w\\\\
-6w-7w+3w=-21-12+3\\\\
-10w=-30\ \ \ |Divided\ by\ -10\\\\
w=3\\\\ \textbf{Answer\ is\ w=3.}$

n200080 [17]2 years ago

3 0

$12-3(2w+1)=7w-3(7+w) \\ \\ 12-6w-3=7w-21-3w \\ \\ 9-6w=4w-21 \\ \\ -6w-4w=-21-9 \\ \\ -10w=-30 \\ \\ \boxed{x=\frac{-30}{-10}=3}$

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Step-by-step explanation:

Asuming the described situation is as shown in the figure below, we need to find the distance $h$ between the kite and Jacks house, but first we need to find the $x$ , $y$ and then $d$ .

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Where $y$ is the opposite side to the angle and $45 ft$ the hypotenuse.

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For $x$ :

$cos(65 \°)=\frac{x}{45 ft}$ (3)

Where $x$ is the adjacent side to the angle.

Isolating $x$ :

$y=19.017 ft$ (4)

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$d=19.017 ft +100 ft$

$d=119.017 ft$ (6)

Now that we have found these values, we have to work with a bigger triangle, where the hypotenuse is the distance between the kite and Jack's house $h$ and the sides are the values calculated in (4) and (6).

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$h^{2}=y^{2} +d^{2}$ (7)

Isolating $h$ and writing with the known values:

$h=\sqrt{y^{2} +d^{2}}$ (8)

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