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gregori [183]
3 years ago
7

a piece of wire 17m long stretched from the top a flagpole to point p on the ground if p is8m from the pole how tall is the pole

​
Mathematics
1 answer:
lakkis [162]3 years ago
6 0

Answer:

Step-by-step explanation:

By the Pythagorean Theorem

17^2=8^2+h^2

h^2=17^2-8^2

h^2=289-64

h^2=225

h=15 meters

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2 years ago
How is the expression (5 + y) ⋅ 8 described by its factors and terms? It has two factors and the factor (5 + y) has one term. It
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Step-by-step explanation:

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Root 3 cosec140° - sec140°=4<br>prove that<br><br>​
Lorico [155]

Answer:

Step-by-step explanation:

We are to show that \sqrt{3} cosec140^{0} - sec140^{0} = 4\\

<u>Proof:</u>

From trigonometry identity;

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From trigonometry, 2sinAcosA = Sin2A

= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\\\=  \frac{\sqrt{3}cos140-sin140 }{sin280/2}\\=  \frac{4(\sqrt{3}/2cos140-1/2sin140) }{2sin280}\\\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{sin280}\\since sin420 = \sqrt{3}/2 \ and \ cos420 = 1/2  \\ then\\\frac{4(sin420cos140-cos420sin140) }{sin280}

Also note that sin(B-C) = sinBcosC - cosBsinC

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The resulting equation becomes;

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