3 years ago

What is 13/20 written as a decimal?

Mathematics

1 answer:

leonid [27]3 years ago

6 0

To find decimals out of fractions, you divide 13 and 20, which equals 0.65.

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Given that the sec A = 13/5 and A is in QIV, determine exact value for the sin A.

AysviL [449]

Answer:

The exact value of sin A is opp/hyp = -12/13

Step-by-step explanation:

If A is in Quadrant IV then the "opposite side" is negative and the "adjacent side" is positive. Since sec A = hyp / adj = 13 / 5 and since opp^2 + adj^2 must add up to hyp^2, Therefore y = √(hyp^2 - adj^2), or

y = -√(13^2 - 25) = -√144 = 12.

The exact value of sin A is opp/hyp = -12/13

6 0

3 years ago

What is the midpoint of np if N(10, -14) and P(-16, -4)?

Virty [35]

Answer:

<h3>Midpoint = (-3 ,-9)</h3>

Step-by-step explanation:

$\\Midpoint =\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(10,\:-14\right),\:\\\left(x_2,\:y_2\right)=\left(-16,\:-4\right)\\\\=\left(\frac{-16+10}{2},\:\frac{-4-14}{2}\right)\\\\=(\frac{-6}{2}, \frac{-18}{2}\\ \\Simplify\\\\=\left(-3,\:-9\right)$