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3 years ago

HELP ME PLZZZZZZZZZZZ I NEED TO PASS THIS TEST

Mathematics

2 answers:

Maurinko [17]3 years ago

5 0

Answer:

Step-by-step explanation:

Zepler [3.9K]3 years ago

3 0

Answer:

E = 12

Step-by-step explanation:

I) Find ratio:

15/10 = 1.5

II) Find E using ratio:

8 x 1.5 = E, E = 12

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Using the diagram, which two planes would intersect in HG ?

taurus [48]

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3 years ago

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Sindrei [870]

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3 years ago

If sinθ = -1/2 and θ is in Quadrant III, then tanθ = _____.

Gnom [1K]

Answer: $\tan \theta=\dfrac{1}{\sqrt3}.$

Step-by-step explanation: Given that

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We are to find the value of $\tan \theta.$

We will be using the following trigonometric identities:

$(i)~sin^2\theta+\cos^2\theta=1,\\\\(ii)~\dfrac{\sin\theta}{\cos{\theta}}=\tan \theta.$

We have

$\tan\theta\\\\\\=\dfrac{\sin\theta}{\cos\theta}\\\\\\=\dfrac{\sin\theta}{\pm\sqrt{1-\sin^2\theta}}\\\\\\=\pm\dfrac{-\frac{1}{2}}{\sqrt{1-\left(\frac{1}{2}\right)^2}}\\\\\\=\pm\dfrac{\frac{1}{2}}{\sqrt{1-\frac{1}{4}}}\\\\\\=\pm\dfrac{\frac{1}{2}}{\frac{\sqrt3}{2}}\\\\\\=\pm\dfrac{1}{\sqrt3}.$

Since $\theta$ lies in Quadrant III, so tangent will be positive.

Thus,

$\tan \theta=\dfrac{1}{\sqrt3}.$

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4 years ago

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