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Semenov [28]
4 years ago
15

If tan θ=−4/7, and 270°<θ<360°, what is sec θ?

Mathematics
1 answer:
kondaur [170]4 years ago
5 0

Answer:

1.15

Step-by-step explanation:

tan θ=−4/7, and 270°<θ<360°

θ is in 4th quadrant

sec θ = 8.06 / 7 = 1.15

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3 years ago
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lilavasa [31]

Answer:

g(n-7)=\frac{n^{2}-14n+43}{7n-49}  → (a)

Step-by-step explanation:

We need to evaluate g(n - 7), where

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Replace x by (n - 7) to evaluate it

∵ x = (n - 7)

∴ g(n-7)=\frac{(n-7)^{2}-6}{7(n-7)}

→ Let us find (n - 7)²

∵ (n - 7)² = (n - 7)(n - 7) = (n)(n) + (n)(-7) + (-7)(n) + (-7)(-7)

∴ (n - 7)² = n² + (-7n) + (-7n) + 49 = n² + -14n + 49

∴ (n - 7)² = n² - 14n + 49

→ Find 7(n - 7)

∵ 7(n - 7) = 7(n) - 7(7)

∴ 7(n - 7) = 7n - 49

→ Now let us write then in the form above

∵ g(n-7)=\frac{n^{2}-14n+49-6}{7n-49}

→ Add the like terms in the numerator

∴  g(n-7)=\frac{n^{2}-14n+43}{7n-49}

The correct answer is (a)

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4 years ago
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= 7(15)(16)/2

= 840

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