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2 years ago

What’s the sin of π/6 rad

Mathematics

1 answer:

myrzilka [38]2 years ago

7 0

Answer:

Step-by-step explanation:

2π = 360

2π/2 = 360/2

π = 180

π/6 = 180/6

π/6 = 30°

sin π/6 rad = sin 30° = 1/2 or 0,5

I hope I've helped you.

You might be interested in

suppose X and Y are independent random variables, both with normal distributions. If X has a mean of 45 with a standard deviatio

djyliett [7]

Answer:

0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

$\mu_X = 45, \sigma_X = 4, \mu_Y = 35, \sigma_Y = 3$

What is the probability that a randomly generated value of X is greater than a randomly generated value of Y

This means that the subtraction of X by Y has to be positive.

When we subtract two normal variables, the mean is the subtraction of their means, and the standard deviation is the square root of the sum of their variances. So

$\mu = \mu_X - \mu_Y = 45 - 35 = 0$

$\sigma = \sqrt{\sigma_X^2+\sigma_Y^2} = \sqrt{25} = 5$

We want to find P(X > 0), that is, 1 subtracted by the pvalue of Z when X = 0. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{0 - 10}{5}$

$Z = -2$

$Z = -2$ has a pvalue of 0.0228

1 - 0.0228 = 0.9772

0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y

4 0

3 years ago

Mr. Cole packed 20 pounds into a suitcase, and Mrs. Cole packed 23 pounds into the same suitcase. They then had to remove 8 poun

Sedaia [141]

Answer:

35 lbs is the final weight

Step-by-step explanation:

20 +23 = 43 lbs

Then they had to remove 8 lbs

43 - 8 =35

35 lbs is the final weight

5 0

3 years ago

When completing an online shopping transaction, a typical shopper takes 5 seconds to select each product and another 60 seconds

natulia [17]

4 products are being purchased.

Step-by-step explanation:

Given,

Time taken to select each product = 5 seconds

Time taken to complete check out process = 60 seconds

Total time taken for a transaction = 80 seconds

Let,

x be the number of products purchased.

Time taken for each product*Number of product + Time for check out process = total process

$5x+60=80\\5x=80-60\\5x=20$

Dividing both sides by 5

$\frac{5x}{5}=\frac{20}{5}\\x=4$

4 products are being purchased.

Keywords: variable, division

Learn more about division at:

#LearnwithBrainly

8 0

3 years ago

Find missing side help quick pls

Zigmanuir [339]

Answer:

Step-by-step explanation:

18/6 = 3

24/8 = 3

21/x = 3

21/3 = 7

x = 7

6 0

3 years ago

HELP WILL MARK BRAINLIEST!!!

Rainbow [258]

Answer:

Let's see what to do buddy..

Step-by-step explanation:

_________________________________

STEP (1)

We know that the quadratic functions form are like this :

$y = a \: {x}^{2} + b \: x + c$

The quadratic function opens upward so ;

$a > 0$

The axis of parabolic symmetry passes through the vertex of the parabolic.

So we know that x vertex is equal to -2.

The vertex's x is finding from this equation:

$x = - \frac{b}{2a} \\$

So we have :

$- 2 = - \frac{b}{2a} \\$

Multiply the sides of the equation by 2a :

$b = 4a$

_________________________________

STEP (2)

A quota passes through points (-3,2) and (0,11) , so points (-3,2) and (0,11) must be true in the quota equation.

$y = f(x) = a{x}^{2} + bx + c \\ \\b = 4a \\ \\ y = f(x) = a {x}^{2} + 4ax + c$

$f( - 3) = 2 \\ \\ a ({ - 3})^{2} + 4a( - 3) + c = 2 \\ \\ 9a - 12a + c = 2 \\ \\ - 3a + c = 2 \\ \\ \\ \\ f(0) = 11 \\ \\ a ({0})^{2} + 4a(0) + c = 11 \\ \\ c = 11$

$- 3a + c = 2 \\ \\ c = 11 \\ \\ - 3a + 11 = 2 \\ 11 \: goes \: to \: the \: other \: side \: \\ \\ - 3a = 2 - 11 \\ - 3a = - 9 \\ divided \: the \: sides \: of \: the \: equation \: by \: - 3 \\ a = 3$

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

6 0

3 years ago