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3 years ago

If secθ = 13/12 and 270° < θ < 360°, then tanθ = _____.

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

4 0

Answer:

tan Ф = opposite / adjacent = a / b=5/12

Step-by-step explanation:

sec Ф = hypotenuse / adjacent = c / b=13/12

tan Ф = opposite / adjacent = a / b

find a

a^2+b^2=c^2

a=√c^2-b^2 b=12 and c=13

a=√144-169=√25=5

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The answer is 133 beats per minute.

To calculate this, we will use proportion.
If 190 beats per minute are 100%, how many beats per minute are 70%:
190 bpm : 100% = x : 70%
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$\frac{70 * 190bpm}{100} = x$
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Thus, Xanthe's target heart rate is 133 beats per minute.

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3 years ago

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3 years ago

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Combine like terms, need help ASAP

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$15. 7x^{4} - 5x^{4} = 2x^{4} \\17. 6b + 7b - 10 = 13b - 10\\19. y + 4 + 3 ( y + 2 ) = y + 4 + 3y + 6 = 4y + 10\\21. 3y^{2} + 3 ( 4y^{2} - 2 ) = 3y^{2} + 12y^{2} - 6 = 15y^{2} - 6\\23. 0.5 ( x^{4} - 3 ) + 12 = 0.5x^{4} - 1.5 + 12 = 0.5x^{4} + 10.5$

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3 years ago

If 2500 is to be divided among Ravi, Raju and Roy, so that Ravi gets two parts, Raju has

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Answer:

The money each will get are 500 to Ravi , 750 to Raju and 1250 to Ravi. And there percentages are Ravi's 20%, Raju's 30% and Roy's 50%.

Step-by-step explanation:

Given:

2500 is to be divided among Ravi, Raju and Roy, so that Ravi gets two parts, Raju has three parts and Roy five parts.

Now, to find the money each will get and the percentages of it.

Let the price of one part be $x.$

The price of two parts be $2x.$

The price of three parts be $3x.$

And the price of five parts be $5x.$

According to question:

$2x+3x+5x=2500.$

$10x=2500$

Dividing both sides by 10 we get:

$x=250.$

Ravi gets two parts = $2x=2\times 250=500.$

Raju gets three parts = $3x=3\times 250=750.$

Roy gets five parts = $5x=5\times 250=1250.$

Now, the percentage of the money they get:

Percentage of Ravi's share:

$\frac{500}{2500} \times 100\\=\frac{50000}{2500} \\=20\%.$

Percentage of Raju's share:

$\frac{750}{2500} \times 100\\\\=30\%.$

Percentage of Roy's share:

$\frac{1250}{2500} \times 100\\\\=50\%.$

Therefore, the money each will get are 500 to Ravi , 750 to Raju and 1250 to Ravi. And there percentages are Ravi's 20%, Raju's 30% and Roy's 50%.

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3 years ago