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otez555 [7]
3 years ago
6

Find the value of x, rounded to the nearest tenth.

Mathematics
1 answer:
V125BC [204]3 years ago
7 0

Answer:

x=6.2

Step-by-step explanation:

So to find this we can use the trignometric function sin(Θ):

Perpendicular = x

Hypotonuse = 18

Θ = 20°

sin(Θ) = \frac{Perpendicular}{Hypotonuse}

Substituting our values we get:

Sin(20°) =\frac{x}{18}

Using a calculator we get:

0.34202 = \frac{x}{18}

x=0.34202*18

x=6.15636

So rounding that to the nearest tenth :

x=6.2

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aleksley [76]

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Find the equatio of the line tht contains the point (5,6) and is perpendicualr to the line 4x+2y=2
anzhelika [568]
--------------------------------------------------------------
Find Slope
--------------------------------------------------------------
4x + 2y = 2
2y= -4x + 2
y = -4/2 x + 2
y = -2x + 2

Slope = -2
Perpendicular slope = 1/2

--------------------------------------------------------------
Insert slope into the general equation y = mx + c
--------------------------------------------------------------
y = 1/2x + c

--------------------------------------------------------------
Find y-intercept 
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y = 1/2x + c
at (5,6)
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--------------------------------------------------------------
Insert y-intercept into y = 1/2 x + c
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y = 1/2 x + 7/2
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--------------------------------------------------------------
Answer: 2y = x + 7
--------------------------------------------------------------
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3 years ago
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