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wolverine [178]
4 years ago
14

Y=x-7 y=-2x+8 solve using substitution

Mathematics
1 answer:
RUDIKE [14]4 years ago
4 0
Y = x-7
+7 +7
x = y+7
- - - -
y=-2x+8
y=-2(y+7) +8
y= -2y - 14 +8
+2y +2y
3y = -6
/3 /3
y = -2
- - - -
x = y+ 7
x = -2 +7
x = 5

(5, -2)
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4 years ago
An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression. To the nearest foot, how far is the boa
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Step-by-step explanation:

Given the statement: An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression.

Let x foot be the distance of the object(boat) from the base of the lighthouse

Angle of depression = 7^{\circ}

\angle CAB = \angle DCA = 7^{\circ}       [Alternate angle]

In triangle CAB:

To find AB = x foot.

Using tangent ratio:

\tan (\theta) = \frac{Opposite side}{Adjacent Base}

\tan (\angle CAB) = \frac{BC}{AB}

Here, BC = 50 foot and \angle CAB =7^{\circ}

then;

\tan (7^{\circ}) = \frac{50}{x}

or

x = \frac{50}{\tan 7^{\circ}}

x = \frac{50}{0.1227845609}

Simplify:

AB = x = 407.217321 foot

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Answer: 939520


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3 years ago
Read 2 more answers
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