Answer my questio down below plz and thank you!!

Given cos ⁡ ( θ ) = 5/6 , then sin ⁡ ( θ ) = a/b .<br><br> Determine the values of a and b.

slega [8]

Answer:

a = √11 and b = 6

Step-by-step explanation:

Refer to attached picture for reference

for an right triangle with angle θ

we are given

cos θ = 5/6 = length of adjacent side / length of hypotenuse

hence

adjacent length = 5 units

hypotenuse length = 6 units

the missing side is the "opposite" length which we can find with the Pythagorean equation. in our case:

hypotenuse ² = adjacent ² + opposite² (rearrange)

opposite ² = hypotenuse ² - adjacent ²

opposite ² = 6² - 5²

opposite = √ (6²-5²) = √11

sin θ = opposite length / hypotenuse (substitute values above)

sin θ = √11 / 6

hence a = √11 and b = 6

3 0

3 years ago

Twice a number is more than the sum of three times that number and 5

saw5 [17]

Answer:

31 = x

Step-by-step explanation:

First multiply out

2x + 10 = 3x - 21

Now collect terms

10 + 21 = 3x - 2x

Simplify

31 = x

5 0

3 years ago

Store A uses the newsvendor model to manage its inventory. Demand for its product is normally distributed with a mean of 500 and

ra1l [238]

Answer:

$P(X$

Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Let X the random variable that represent the Demand for its product on this case, and for this case we know the distribution for X is given by:

$X \sim N(\mu=500,\sigma=300)$