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LUCKY_DIMON [66]

2 years ago

9

Point (-7,-5) is located in which quadrant?

2 answers:

viva [34]2 years ago

7 0

Point (-7,-5) is located in quadrant 3 because both x and y are negative

Fofino [41]2 years ago

3 0

The third quadrant which is (-,-)

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Find sin2x, cos2x, and tan2x if sinx=-15/17 and x terminates in quadrant III

vodka [1.7K]

Given:

$\sin x=-\dfrac{15}{17}$

x lies in the III quadrant.

To find:

The values of $\sin 2x, \cos 2x, \tan 2x$ .

Solution:

It is given that x lies in the III quadrant. It means only tan and cot are positive and others are negative.

We know that,

$\sin^2 x+\cos^2 x=1$

$(-\dfrac{15}{17})^2+\cos^2 x=1$

$\cos^2 x=1-\dfrac{225}{289}$

$\cos x=\pm\sqrt{\dfrac{289-225}{289}}$

x lies in the III quadrant. So,

$\cos x=-\sqrt{\dfrac{64}{289}}$

$\cos x=-\dfrac{8}{17}$

Now,

$\sin 2x=2\sin x\cos x$

$\sin 2x=2\times (-\dfrac{15}{17})\times (-\dfrac{8}{17})$

$\sin 2x=-\dfrac{240}{289}$

And,

$\cos 2x=1-2\sin^2x$

$\cos 2x=1-2(-\dfrac{15}{17})^2$

$\cos 2x=1-2(\dfrac{225}{289})$

$\cos 2x=\dfrac{289-450}{289}$

$\cos 2x=-\dfrac{161}{289}$

We know that,

$\tan 2x=\dfrac{\sin 2x}{\cos 2x}$

$\tan 2x=\dfrac{-\dfrac{240}{289}}{-\dfrac{161}{289}}$

$\tan 2x=\dfrac{240}{161}$

Therefore, the required values are $\sin 2x=-\dfrac{240}{289},\cos 2x=-\dfrac{161}{289},\tan 2x=\dfrac{240}{161}$ .

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2 years ago

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const2013 [10]

Answer:

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Step-by-step explanation:

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2 years ago

Julio has $40.00 to rent bikes for himself and a friend for 5 hours. Each bike

tia_tia [17]

Step-by-step explanation: if its asking how much money he spends in total you multiply

$3.25 x 5 = 16.25

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2 years ago

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John is at a local bait shop; he wants to buy bait for his fishing trip. At the store, they are selling live bait for $12 a poun

Monica [59]

The system of inequalities is: $x\geq 3$ and $12x+7y\leq 63$

<em><u>Explanation</u></em>

Let $x$ be the amount of live bait and $y$ be the amount of natural bait.

As John would like to get at least 3 pounds of live bait, so the first inequality will be: $x\geq 3$

Given that, price of live bait is $12 per pound and natural bait is $7 per pound. Also, he only has a budget of $63. That means, he can spend maximum $63

So, the cost for buying $x$ pound of live bait $=\$12x$ and the cost for buying $y$ pound of natural bait $=\$7y$

Thus, the second inequality will be: $12x+7y\leq 63$

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2 years ago

Estimate the product of 79.623 times 4.83

r-ruslan [8.4K]

It would be 384.58, or 384.57909

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