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astraxan [27]
2 years ago
14

If x + sin^2 theta + cos^2 theta = 4, then what is the value of x?

Mathematics
1 answer:
Ray Of Light [21]2 years ago
4 0

Answer:

x = 3

Step-by-step explanation:

x + sin^2  \theta + cos^2  \theta = 4 \\ x + 1 = 4 \\ ( \because \: sin^2  \theta + cos^2  \theta = 1) \\ x = 4 - 1 \\  x = 3

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As for a specific equation, I could not say. However, I can tell you how to find x!

The first thing to remember is that a straight line has a 180 degree angle.

You see on the bottom side that we have a 146 degree angle. Now look at the top side. Look closely, and you will see that the two sides are actually identical!

Don't see it? Look at the line on top between x and 56, and imagine it is not there. You see that we actually have the same 146 degree angle, just flipped right side up!

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2 years ago
10. There are nine golf balls numbered from 1 to 9 in a bag. Three balls are randomly selected without replacement to form a 3-d
lbvjy [14]

Answer:

a) 504

b) 56

c) 0.111

Step-by-step explanation:

Data provided in the question:

There are nine golf balls numbered from 1 to 9 in a bag

Three balls are randomly selected without replacement

a) 3-digit numbers that can be formed

= ^nP_r

n = 9

r = 3

= ⁹P₃

= \frac{9!}{9!-3!}

= 9 × 8 × 7

= 504

b)  3-digit numbers start with the digit 1

=  _ _ _

in the above 3 blanks first digit is fixed i.e 1

we and we have 8 choices left for the last 2 digits

Thus,

n = 8

r = 2

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= 1 × ⁸P₂

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= 1 × 8 × 7

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c) Probability that the 3-digit number formed is less than 200

Now,

The number of 3-digit number formed is less than 200 will be the 3-digit numbers start with the digit 1 i.e part b)

and total 3-digit numbers that can be formed is part a)

therefore,

Probability that the 3-digit number formed is less than 200

= 56 ÷ 504

= 0.111

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3 years ago
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Basile [38]

Answer:

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Step-by-step explanation:

I think it is so because the angles are aligned already so you what has the same value.

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