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Alinara [238K]
3 years ago
8

Geometry help, will mark brainliest

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
4 0

Answer:

265.1 units²

Step-by-step explanation:

Area of circle:

3.14 × 12²

452.16

Side of the triangle:

s² = 12² + 12² - 2(12)(12)cos(120)

s² = 432

s = 12sqrt(3)

Area of triangle:

½ × s × s × sin(60)

½ × 432 × sqrt(3)/2

187.0614872

Shaded area:

452.16 - 187.0614872

265.0985128 units²

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3 years ago
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What’s the probability of getting each card out of a deck?
VMariaS [17]

Answer:

a. 1/13

b. 1/52

c. 2/13

d. 1/2

e. 15/26

f. 17/52

g. 1/2

Step-by-step explanation:

a. In a deck of cards, there are 4 suits and each of them has a 7. Therefore, the probability of drawing a 7 is:

P(7) = 4/52 = 1/13

b. There is only one 6 of clubs, therefore, the probability of drawing a 6 of clubs is:

P(6 of clubs) = 1/52

c. There 4 fives (one for each suit) and 4 queens in a deck of cards. Therefore, the probability of drawing a five or a queen​​​​​​​​​​​ is:

P(5 or Q) = P(5) + P(Q)

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= 1/13 + 1/13

P(5 or Q) = 2/13

d. There are 2 suits that are black. Each suit has 13 cards. Therefore, there are 26 black cards. The probability of drawing a black card is:

P(B) = 26/52 = 1/2

e. There are 2 suits that are red. Each suit has 13 cards. Therefore, there are 26 red cards. There are 4 jacks. Therefore:

P(R or J) = P(R) + P(J)

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f. There are 13 cards in clubs suit and there are 4 aces, therefore:

P(C or A) = P(C) + P(A)

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P(C or A) = 17/52

g. There are 13 cards in the diamonds suit and there are 13 in the spades suit, therefore:

P(D or S) = P(D) + P(S)

= 13/52 + 13/52

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3 years ago
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Answer: sqrt(19)/10

Step-by-step explanation:

sinx=0.9

x=arcsin(0.9)


Insert x for cos(x):

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Use identify cos(arcsin(x))=\sqrt{1-x^{2} }, so

\sqrt{1-(\frac{9}{10})^{2}} =\sqrt{\frac{19}{100} } =\frac{\sqrt{19}}{10}


Sorry if this is confusing.



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