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2 years ago

Using the triangle below, Find the ratio. Please need help very much appreciate

Mathematics

1 answer:

zmey [24]2 years ago

3 0

Answer/Step-by-step explanation:

✔️Sin 22° = opp/hyp

Opp = 15

Hyp = 40

Sin 22° = 15/40

Simplify

Sin 22° = ⅜

✔️Tan 22° = opp/adjacent

opp = 15

Adjacent = √(40² - 15²) (pythagorean theorem)

Adjacent = √1,375 = 37.1 (nearest tenth)

Tan 22° = 15/37.1

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What is the slope of a line parallel to the line whose equation is y - x = 5?

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A parallel line would have the same slope as the given line so first you'd rewrite the equation y-x=5 to y=x+5 the slope is the x value so the slope is 1.

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2 years ago

Cual es el resultado de la operacion algebraica: 25x+12x+31x-8x+5x

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Answer:

65x

Step-by-step explanation:

Observe que estos son terminos similares... por lo que podemos simplemente sumarlos y restarlos. Entonces obtenemos:

25x + 12x + 31x - 8x + 5x

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2 years ago

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Read 2 more answers

The standard deviation of a sample taken from population A is 17.6 for a sample of 25.

lawyer [7]

Answer:

The standard deviation of the sample mean differences is _5.23_

Step-by-step explanation:

We have a sample of a population A and a sample of a population B.

For the sample of population A, the standard deviation $\sigma_A$ is

$\sigma_A = 17.6$

The sample size $n_A$ is:

$n_A = 25$ .

For the sample of population B, the standard deviation $\sigma_B$ is

$\sigma_B = 21.2$

The sample size $n_B$ is:

$n_B = 30$ .

Then the standard deviation for the difference of means has the following form:

$\sigma=\sqrt{\frac{\sigma_A^2}{n_A}+\frac{\sigma_B^2}{n_B}}$

Finally

$\sigma=\sqrt{\frac{17.6^2}{25}+\frac{21.2^2}{30}}\\\\\sigma= 5.23$

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3 years ago