3 years ago

A spinner is divided into three equal parts that are colored different. The colors are red white and blue

Mathematics

2 answers:

Aleksandr [31]3 years ago

5 0

Im sorry what is the question

Mkey [24]3 years ago

5 0

And what is the question?

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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:

From trigonometry identity;

$cosec \theta = \frac{1}{sin\theta} \\sec\theta = \frac{1}{cos\theta}$

$\sqrt{3} cosec140^{0} - sec140^{0} \\= \frac{\sqrt{3} }{sin140} - \frac{1}{cos140} \\= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\$

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;

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

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

3 0

3 years ago

Which is part of the process in the formation of hail pellets? They are tossed up and down in clouds. They lose layers of ice an

kondaur [170]

Answer:

they are tossed up and down in clouds

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2 years ago

What is the area of the pentagon

vlada-n [284]

The area of the pentagon is 140

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3 years ago

Read 2 more answers

Jim spent $46.16 on some mulch and one shovel. Each bag of mulch costs $3.49 and the shovel cost $14.75. How many bags of mulch

mezya [45]

To find the amount he spent on bags of mulch you must take the cost of the shovel away from the total, giving the equation:
46.16-14.75=3.49x
To covert this to whole numbers, multiply by 100
4616-1475=349x
3141=349x
x=9

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3 years ago

The compound interest on a certain sum of money for 2 years is $208 and the simple interest for the same time at the same rate i

dlinn [17]

The answer is 208+200=408

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2 years ago