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Inessa05 [86]
2 years ago
8

Simplify the following fraction 20/14 ​ ​

Mathematics
1 answer:
Alex_Xolod [135]2 years ago
7 0

I HOPE THE ABOVE INFORMATION WILL HELP YOU.

Thank you.

<em>Teddy</em><em> </em><em>lover</em><em> </em><em>❤</em><em>❤</em>

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Θ is in Quadrant III and cos^2 0= 1/4
pychu [463]
I think you mean to say \cos^2\theta=\dfrac14. If \theta is in the third quadrant, then \sin\theta and \cos\theta. Recall that


\sin^2\theta+\cos^2\theta=1\implies\sin\theta=\pm\sqrt{1-\cos^2\theta}

We expect \sin\theta to be negative, so we take the negative root. We end up with

\sin\theta=-\sqrt{1-\dfrac14}=-\dfrac{\sqrt3}2

We also know to expect \cos\theta, so

\cos\theta=\pm\sqrt{\dfrac14}\implies\cos\theta=-\dfrac12


By definition, we have

\cot\theta=\dfrac{\cos\theta}{\sin\theta}

and so

\cot\theta=\dfrac{-\frac12}{-\frac{\sqrt3}2}=\dfrac1{\sqrt3}
7 0
3 years ago
A machine is deisgned to fill 16 ounce bottles of shampoo.
dlinn [17]
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3 years ago
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GEOMETRY PLEASE HELP
marysya [2.9K]

Answer:

see explanation

Step-by-step explanation:

(5)

Since ∠EBA = 90° then ∠ABD = 90° ( straight angle ) and

∠ABC + ∠CBD = ∠ABD, that is

2x + 3x - 10 = 90, simplifying

5x - 10 = 90 ( add 10 to both sides )

5x = 100 ( divide both sides by 5 )

x = 20, thus

∠ABC = 2x = 2 × 20 = 40°

∠CBD = 3x - 10 = (3 × 20) - 10 = 60 - 10 = 50°

(6)

4x - 18 = 3x + 7 ( vertical angles are congruent )

Subtract 3x from both sides

x - 18 = 7 ( add 18 to both sides )

x = 25

7y = 5y + 28 ( vertical angles are congruent )

Subtract 5y from both sides

2y = 28 ( divide both sides by 2 )

y = 14

7 0
3 years ago
Make t the subject of the formula v=u+5t
rusak2 [61]

5t=v-u (Subtract u on both sides)

t=(v-u)/5 (Divide by 5 in both sides)

4 0
3 years ago
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