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statuscvo [17]
3 years ago
8

(x÷5) + (x÷3) = 8/15 Help please!

Mathematics
1 answer:
AysviL [449]3 years ago
8 0

-2x = 8

x = 8/(-2)

x = -4

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Gnom [1K]
I would solve this using tangents.  Let h be height of flagpole.
Set up 2 right triangles, each with a base of 40.
The larger triangle has height of "h+70"
Smaller triangle has height of 70.

Now write the tangent ratios:
tan A = \frac{h+70}{40}  , tan B = \frac{70}{40}

Note: A-B = 9
To solve for h we need to use the "Difference Angle" formula for Tangent
tan (A-B) = \frac{tanA - tanB}{1+tan A  tan B}
Plug in what we know:
tan(9) = \frac{ \frac{h+70}{40} -  \frac{70}{40}}{1+ (\frac{h+70}{40})(\frac{7}{4})}
tan (9) = \frac{ \frac{h}{40}}{ \frac{7h +650}{160}} = \frac{4h}{7h+650}
h = \frac{650 tan(9)}{4-7 tan(9)}
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7 0
3 years ago
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Ilya [14]
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Plug in the value of x into all three segments.

AB= 3*4.5= 13.5
BC= 4*4.5= 18
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7 0
3 years ago
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