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telo118 [61]
3 years ago
10

Brent count to 10 red cards 10 Blackhearts and 20 blue cards in a deck of cards what is the radio of red cards to other cardsj

Mathematics
2 answers:
djyliett [7]3 years ago
6 0

Answer:

10:30 (simplified- 1:3)

Step-by-step explanation:

there are 10 red cards so the first number would be 10

the other cards are black hearts and blue cards, if you add them together that is 30 cards, therefore, the answer is 10:30

KonstantinChe [14]3 years ago
4 0

Answer:

1/4

Step-by-step explanation:

10+10+20=40

10 of those are red cards which makes it 10/40 which is simplified to 1/4.

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Answer:

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cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]

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Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.

sin(a) = -\sqrt{1-(-\frac{1}{3})^2} [Since, sin(a) = \sqrt{(1-\text{cos}^2a)}]

         = -\sqrt{\frac{8}{9}}

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Similarly, terminal side of angle 'b' lies in quadrant 2, sine of angle 'b' will be  negative.

sin(b) = -\sqrt{1-(-\frac{1}{4})^2}

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By substituting these values in the identity,

cos(a + b) = (-\frac{1}{3})(-\frac{1}{4})-(-\frac{2\sqrt{2}}{3})(-\frac{\sqrt{15}}{4})

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                = \frac{1}{12}(1-\sqrt{120})

                = \frac{1}{12}(1-2\sqrt{30})

Therefore, cos(a + b) = \frac{1}{12}(1-2\sqrt{30})

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