<img src="https://tex.z-dn.net/?f=tan20%2B4sin20%3D%5Csqrt%7B3%7D" id="TexFormula1" title="tan20+4sin20=\sqrt{3}" alt="tan20+4si

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Nikitich [7]

2 years ago

n20=\sqrt{3}" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

zepelin [54]2 years ago

5 0

tan( 20 ) + 4 Sin( 20 ) =

( Sin( 20 ) / Cos( 20 ) ) + 4 Sin( 20 ) =

Sin( 20 ) + 4 Sin( 20 ).Cos( 20 ) / Cos( 20 ) =

Sin( 20 ) + 2 × 2 Sin(20).Cos(20)/ Cos(20) =

Sin( 20 ) + 2 × Sin( 40 ) / Cos( 20 ) =

Sin( 20 ) + 2Sin( 40 ) / Cos( 20 ) =

Sin( 20 ) + 2Cos( 50 ) / Cos ( 20 ) =

Sin( 20 ) + 2Cos( 20 + 30 ) / Cos( 20 ) =

________________________________

2 × Cos( 30 + 20 ) =

2 × [ Cos(30).Cos(20) - Sin(30).Sin(20) ] =

2 × [ √3/2 × Cos(20) - 1/2 × Sin(20) ] =

√3 Cos(20) - Sin(20)

_________________________________

Sin( 20 ) + 2Cos ( 20 + 30 ) / Cos( 20 ) =

Sin( 20 ) + √3 Cos(20) - Sin(20) / Cos(20) =

Sin(20) - Sin(20) + √3 Cos(20) / Cos(20) =

0 + √3 Cos(20) / Cos(20) =

√3 Cos(20) / Cos(20) =

Cos(20) simplifies from the numerator and denominator of fraction

√3 × 1 / 1 =

√3

And we're done ....

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A customer wants to put in a concrete driveway that is 10" thick. How much concrete would it take to pour a driveway that measur

stellarik [79]

Answer: 22.59 yd^3

Step-by-step explanation:

First the volume of a cuboid whose measurements are:

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V = L*W*T.

We want to calculate the volume of a shape that is:

10'' thick, 18' wide and 42' long.

This notation is:

(') = feet

('') = inches

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3 years ago

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IgorLugansk [536]

Answer with explanation:

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In two weeks there are 14 days, so income earned by my parents in 1 day

$=\frac{1046.78}{14}\\\\74.77$

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We, will use , $\frac{28}{36}$ rule here , which states that , 28% of monthly income of my parents, should be used for monthly housing expenses ,and 36% of gross monthly income should be used for debt purposes.

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3 years ago