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3 years ago

Find the measure of the indicated angle to the nearest degree

Mathematics

1 answer:

omeli [17]3 years ago

4 0

$\boxed{\sf sin\Theta=\dfrac{P}{H}}$

$\\ \sf\longmapsto sin\Theta=\dfrac{16}{26}$

$\\ \sf\longmapsto sin\Theta=\dfrac{8}{13}$

$\\ \sf\longmapsto sin\Theta=0.5$

Convert to p/q form

$\\ \sf\longmapsto sin\Theta=\dfrac{5}{10}$

$\\ \sf\longmapsto sin\Theta=\dfrac{1}{2}$

$\\ \sf\longmapsto sin\Theta=sin30$

$\\ \sf\longmapsto \Theta\approx30°$

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PLEASE HELP! find (1,2) obtained by translating 2 units down followed by a rotation of 180 counterclockwise.

N76 [4]

Answer:

Please check the explanation.

Step-by-step explanation:

Translating two units down means we need to subtract two units from the y-coordinate. i.e

(x, y) → (x, y-2)

We are given that the original point is (1, 2), and we have to find the image of (2, 4) obtained by translating 2 units down followed by a rotation of 180 counterclockwise.

FOR (1, 2)

Given

P(1, 2)

First translation: Translating two units down

(x, y) → (x, y-2)

P(1, 2) → P'(1, 2-2) → P'(1, 0)

Second transformation: Rotation of 180 counterclockwise.

Rotation of 180 counterclockwise will make both 'x' and 'y' coordinates negative. i.e

(x, y) → (-x, -y)

Thus, after second transformation

P'(1, 0) → (-1, 0)

Thus, the image of (1, 2) obtained by translating 2 units down followed by a rotation of 180 counterclockwise will be: (-1, 0)

FOR (2, 4)

Given

P(2, 4)

First translation: Translating two units down

(x, y) → (x, y-2)

P(2, 4) → P'(2, 4-2) → P'(2, 2)

Second transformation: Rotation of 180 counterclockwise.

Rotation of 180 counterclockwise will make both 'x' and 'y' coordinates negative. i.e

(x, y) → (-x, -y)

Thus, after the second transformation

P'(2, 2) → (-2, -2)

Thus, the image of (2, 4) obtained by translating 2 units down followed by a rotation of 180 counterclockwise will be: (-2, -2)

6 0

3 years ago

#19 how do you do the work???!

Semenov [28]

Answer:

$x=\frac{1}{3}$

Step-by-step explanation:

move the terms with $x$ to the left side of the equation:

add 3x to both sides

$3x-1+3x=1$

add 3x and 3x

$6x-1=1$

move all term not containing $x$ to the right side:

add 1 to both sides of the equation

$6x=1+1$

$6x=2$

divide each term by 6

$\frac{6x}{6}=\frac{2}{6}$

$x=\frac{2}{6}$

simplify the fraction

$x=\frac{1}{3}$

8 0

3 years ago

9 of 10

Aleks04 [339]

$\frac{3}{10}$

Answer:

Step-by-step explanation:

I just pressed 27/90 on the calculator hahahha

6 0

2 years ago

Read 2 more answers

When sampling from a population, the sample mean will: Group of answer choices always be closer to the population mean as the sa

Radda [10]

Answer:

When sampling from a population, the sample mean will: be closer to the population mean as the sample size increases.

Step-by-step explanation:

The sample mean is not always equal to the population mean but if we increase the number of samples then the mean of the sample would become more and more closer to the population mean.

Usually the population size is very huge that is why we select a random sample from the population, care must be taken to ensure randomized sampling otherwise results would not be accurate. After that we have to make sure that the number of samples are enough for the given population size. The number of samples depends upon the shape of the population. If the population is normal than according to central limit theorem, a less number of samples would be enough to ensure normal distribution of sampling mean, otherwise a greater sample size will be required.

8 0

3 years ago

The least-squares regression line is_____________. A. the line that passes through the most data points.B. the line that makes t

Elanso [62]

Answer:

<h3>The option B) is correct.</h3><h3>That is the line that makes the sum of the squares of the vertical distances of the data points from the line (the sum of squared residuals) as small as possible is correct answer</h3>

Step-by-step explanation:

Given that " The least-squares regression line "

The least-squares regression line is <u>the line that makes the sum of the squares of the vertical distances of the data points from the line (the sum of squared residuals) as small as possible.</u>

Therefore option B) is correct

3 0

3 years ago

Find the measure of the indicated angle to the nearest degree​

Find the measure of the indicated angle to the nearest degree