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Gelneren [198K]
3 years ago
12

Verify the identity. tan(θ) sin(θ) + cos(θ) = sec(θ)

Mathematics
1 answer:
MariettaO [177]3 years ago
4 0

Step-by-step explanation:

first of all

tan =  \ \frac{ \sin}{ \cos }

put above of equation

(sin/cos)(sin)+cos =sec

sin²/cos +cos=sec

take l.c.m

sin²+cos²/cos=sec

as sin ²+cos²=1 so

1/cos=sec

sec=sec

hence proved

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Theoretical probability is the probability that an event occurs when all of the outcomes of the experiment are equally likely.
MA_775_DIABLO [31]

1. The probability that we select a red marble is 1/3.

We found this out by taking the amount of red marbles there are and the total amount of marbles. The total amount of marbles is 18 and there are red marbles. So, it would become 6 out of 18 or 6/18. Then, we simplify 6/18 to the simplest form. The greatest common factor of both of those numbers is 6. Lastly, we divide each of them by 6 to get the simplest form.

6/18 = (6/6)/(18/6)

(6/6)/(18/6) = 1/3

So, therefore, the theoretical probability of picking a red marble is 1/3.

2. The probability that we select a blue marble is 2/3.

We can find this out by taking the amount of blue marbles there are and the total amount of marbles. We know that the total amount of marble is 18 and there are 12 blue marbles. So, we simply get the GCF (greatest common factor) and divide them by it.

Greatest Common Factor of 12 and 18 = 6

12/18 = (12/6)/(18/6)

(12/6)/(18/6) = 2/3

Thus, the theoretical probability of picking a blue marble is 2/3.

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3 years ago
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Irina18 [472]
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2 years ago
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Question 8(Multiple Choice Worth 3 points)
Nastasia [14]
Answer: C) F(4) = 0

Detailed Explanation:

A zero/root of a polynomial is a value of the variable which makes the value of the polynomial to 0.

Therefore, when (x - 4) is a Factor :-
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2 years ago
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8_murik_8 [283]

Answer:

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Step-by-step explanation:

To solve this question, we first need to know the conversion from cubic meter to liter.

1 cubic meter is equal to 1000 liters.

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x = 1000 / 4 = 250 L

So we need 250 liters of water.

6 0
3 years ago
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