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3 years ago

What is 10(5)-60+5+6

Mathematics

2 answers:

diamong [38]3 years ago

7 0

10(5)-60+5+6
So, first multiple 10 by 5, 50
now we have 50-60+5+6
50-60=-10
-10+5+6
It's 1

alexgriva [62]3 years ago

5 0

Answer: 1
Simplify the expression
10(5)-60+5+6 1) Multiply 10(5)
50-60+5+6 2) 50-60
-10+5+6 3) -10+5
-5+6 4) -5+6
1 5) Answer 1

Hope this helps! :)

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Root 3 cosec140° - sec140°=4 prove that

Lorico [155]

Answer:

Step-by-step explanation:

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

Proof:

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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

sin420cos140 - cos420sin140 = sin(420-140)

The resulting equation becomes;

$\frac{4(sin(420-140)) }{sin280}$

= $\frac{4sin280}{sin280}\\ = 4 \ Proved!$

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