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3 years ago

Sum of two numbers = 14

Mathematics

1 answer:

Solnce55 [7]3 years ago

7 0

It is 10+4
Then 10x4
The difference is 6
So these are the numbers

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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

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

4 0

3 years ago

The Philadelphia Cream Cheese Company produces 42 pounds of cream cheese in each batch. A batch is split up into small portions,

alexandr402 [8]

Answer:

336

Step-by-step explanation:

1/8 pound * by 8 would get you to 1 pound

you have 42 pounds.

8 * 42 = 336

8 0

4 years ago

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PLZ HELP ME I will give u 10 points PLZZ HELP ME

zhannawk [14.2K]

Answer:

1000

7/100

Step-by-step explanation:

10×10×10is 100

8 0

3 years ago

Alonzo will participate in a charity walkathon.Her Mother will donate $10 for Alonzo participation plus and additional $2 for ea

kiruha [24]

Answer:

$40 total, $30 with just the mile amount.

Step-by-step explanation:

$10 + $2(15) = $40 total

6 0

3 years ago

Translate the sentence into an equation.

bixtya [17]

Answer:

4w +7 = 5

Step-by-step explanation:

Have a nice day.

4 0

3 years ago

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