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3 years ago

Explain why there can be no infinite geometric series with a first term of 12 and a sum of 5.

Mathematics

1 answer:

Iteru [2.4K]3 years ago

3 0

Answer:

Step-by-step explanation:

When you find the sum of a number you are adding two or more numbers together. therefore the only answer that you could use to get a sum of 5 when your first term is 12 would be -7

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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

$\cot\theta=\dfrac{-\frac12}{-\frac{\sqrt3}2}=\dfrac1{\sqrt3}$

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3 years ago

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2 1/4 x 10 + 22.5

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3 years ago

Read 2 more answers

The ratio f sugar to flour in a cake recipe is 3 to 5. Marcus s going to follow the recipe to make a large sheetcake. He starts

shusha [124]

He should add 20 cups of flower

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3 years ago

Solve for e.<br> 9e+4=-5e+14+13e9e+4=−5e+14+13e<br> e=

Kitty [74]

Answer:

e = 10

Step-by-step explanation:

9e+4=-5e+14+13e

Combine like terms

9e+4=14+8e

Subtract 8e from both sides

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3 years ago

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Nimfa-mama [501]

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Step-by-step explanation:

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3 years ago