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BlackZzzverrR [31]

3 years ago

6

which has the greater volume? 1.a piece of paper rolled into a cylinder lengthwise, or the same piece of paper rolled into a cyl

inder widthwise

1 answer:

ser-zykov [4K]3 years ago

5 0

The piece of paper rolled widthwise

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The output is eight less than the input

horsena [70]

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——-
-10|-18
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3 years ago

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If your teacher tells you to do questions 28 through 41 in your math book for homework, how many questions is that?

ANTONII [103]

41-28=13 questions, but you also have to do 41 and 28, so 15 questions

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3 years ago

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Which value of x makes the equation 0.5(x + 16) = 3 + 0.25(x – 4) true?

Fynjy0 [20]

Answer:it is confusing

Step-by-step explanation:

5 0

3 years ago

Given that Cosecant (t) = negative StartFraction 13 Over 5 EndFraction for Pi less-than t less-than StartFraction 3 pi Over 2 En

Sergio [31]

Answer:

$\bold{cot(t) =\dfrac{12}{5}}$

Step-by-step explanation:

Given that:

$Cosec (t) = -\frac{13}5$

for $\pi < t < \frac{3 \pi}2$

That means, angle $t$ is in the 3rd quadrant.

To find:

Value of cot(t)

Solution:

First of all, let us recall what trigonometric ratios are positive and what trigonometric ratios are negative in 3rd quadrant.

In 3rd quadrant, tangent and cotangent are positive.

All other trigonometric ratios are negative.

Let us have a look at the following identity:

$cosec^2\theta -cot^2\theta =1$

here, $\theta =t$

So, $cosec^2t-cot^2t=1$

$\Rightarrow (-\dfrac{13}{5})^2-cot^2t=1\\\Rightarrow (\dfrac{169}{25})-cot^2t=1\\\Rightarrow \dfrac{169}{25}-1=cot^2t\\\Rightarrow \dfrac{169-25}{25}=cot^2t\\\Rightarrow \dfrac{144}{25}=cot^2t\\\Rightarrow cot(t)=\pm\sqrt{\dfrac{144}{25}}\\\Rightarrow cot(t)=\pm\dfrac{12}{5}$

But, angle $t$ is in 3rd quadrant, so value of

$\bold{cot(t) =\dfrac{12}{5}}$

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noname [10]

Step-by-step explanation:

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