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Eva8 [605]
3 years ago
7

If csc 0 = 2, find sin 0​

Mathematics
1 answer:
Slav-nsk [51]3 years ago
3 0

Answer:

1/2 (Please read explanation to educate yourself)

Step-by-step explanation:

csc = hyp/opp

sin is the inverse of csc --> sin = opp/hyp

so for csc you have csc(0) = 2/1 and since sin is the inverse then sin(0) = 1/2

Very basic trigonometry and it is the fundamentals of every higher math so learn it well.

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BigorU [14]

12x - 4y = -8

y = 3x + 2

Rewrite the first equation

12x + 8 = 4y

3x + 2 = y

As you see, the first and second equation are actually the same, meaning there's an infinite number of solutions.

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3 years ago
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A middle school student studies the amount of time seventh and eighth graders spend playing video games on the weekend by collec
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Yes, the student's theory is correct, because the survey shows that the seventh graders spend more time playing games on the weekend than the eighth graders. 
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Use cubic regression to find a function that fits the following points.
8090 [49]

Answer:

y = 2x³ + x² - 4x + 6

Step-by-step explanation:

General formula:

y = ax³ + bx² + cx + d

If you replace point (0, 6) in the general formula, you get:

6 = a(0)³ + b(0)² + c(0) + d

6 = d

If you replace points (-1, 9), (1, 5) and (2, 18) in the general formula, you get the following system of equations:

9 = a(-1)³ + b(-1)² + c(-1) + 6

9 = -a + b - c + 6     (eq. 1)

5 = a(1)³ + b(1)² + c(1) + 6

5 = a + b + c + 6     (eq. 2)

18 = a(2)³ + b(2)² + c(2) + d

18 = 8a + 4b + 2c + 6     (eq. 3)

Adding equation 1 to equation 2:

14 = 2b + 12

(14 - 12)/2 = b

b = 1

Multiplying equation 1 by 2:

18 = -2a + 2b - 2c + 12     (eq. 4)

Adding equation 4 to equation 3, and replacing with b value:

36 = 6a + 6b + 18

36 = 6a + 6 + 18

(36 - 6 - 18)/6 = a

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Replacing a and b values in equation 1:

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c = -4

8 0
3 years ago
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Is 4000000 mililimeters equal to 4 kilometers?
user100 [1]
Yes it is 4 billion milimeters is 4 kilometers


6 0
3 years ago
Which of the following numbers is both a perfect square and a perfect cube?
Marat540 [252]

Answer:

531441

Step-by-step explanation:

We can find by   factorization

531441 = 9 * 9 * 9 * 9 * 9 *9 = (9*9*9) * (9*9*9)

\sqrt[3]{531441}=\sqrt[3]{9*9*9*9*9*9}  =9*9 = 81\\\\\\\sqrt{531441}=\sqrt{(9*9)*(9*9)*(9*9)}=9*9*9=729

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3 years ago
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