ZAP is a right triangle, with right angle A and sin P = 3/5 What is cos Z?

Mathematics

1 answer:

Pavlova-9 [17]1 year ago

4 0

The ratio of cos Z is cos Z = 3 / 5

<h3>How to find the trigonometric ratios of a right triangle?</h3>

A right triangle has one angle of the triangle as 90 degrees.

The sides of the right triangle can be found using trigonometric ratios.

Therefore,

sin ∅ = opposite / hypotenuse

sin Z = 3 / 5

Using Pythagoras theorem,

c² = a² + b²

5² - 3² = b²

b² = 25 - 9

b² = 16

b = √16

b = 4

Hence,

P + A = 90 degrees (complementary angles)

Therefore,

sin P = cos Z

cos Z = 3 / 5

learn more on right triangle here: brainly.com/question/4364549

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Two factories I and II produce phones for brand ABC. Factory I produces 60% of all ABC phones, and factory II produces 40%. 10%

denpristay [2]

Answer:

0.3721 or 37.21%

Step-by-step explanation:

P(I) = 0.60; P(II) = 0.40;

P(not defective I) = 0.90; P(not defective II) = 0.80

The probability that the phone came from factory II, given that is not defective, is determined by the probability of a phone from factory II not being defective divided by the probability of a phone not being defective.

$P(II|not) = \frac{P(II)*P(not_{II})}{P(II)*P(not_{II})+P(I)*P(not_{I})}\\P(II|not) = \frac{0.40*0.80}{0.40*0.80+0.60*0.90}\\ P(II|not) =0.3721 = 37.21\%$