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3 years ago

HELP!!!!!!!!!!!!!! I learned this two years ago and I don't remember how to do this anymore!!!!!!

Mathematics

1 answer:

Otrada [13]3 years ago

4 0

So remember the acronym "SOH CAH TOA"

Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent

Opposite = Side that doesn't touch the angle
Adjacent = Side that touches the angle
Hypotenuse = Side that is across from the right angle

So we see that side a doesn't touch angle $\alpha$ , hence making it the opposite side. And we see that side b is across from the right angle, making it the hypotenuse. <u>Using this info, $\sin \alpha = \frac{a}{b}$ </u>

So we already know from part A that side b is the hypotenuse. And also since side c touches the angle, it is the adjacent.<u> Using this info, $\cos \alpha = \frac{c}{b}$ </u>

Next, it has been established that side c is the adjacent and side a is the opposite side. <u>Using this info, $\tan \alpha = \frac{a}{c}$ </u>

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Sakura speaks 150150150 words per minute on average in Hungarian, and 190190190 words per minute on average in Polish. She once

d1i1m1o1n [39]

Answer:

300 words in Hungarian and 570 in Polish.

Step-by-step explanation:

I guess you need to know the number of words in Hungarian and in Polish.

Let H be the words he said in Hungarian, and P the words he said in Polish.

We are told that Sakura uttered a total of 270 more words in Polish than in Hungarian, therefore:

P = H + 270

And that I speak for 5 minutes, we know that the speed of words in Hungarian is 150 and in Polish it is 190, therefore:

5 = H / 150 + P / 190

Thus we have two equations and two unknowns, that is, it has a solution, replacing P:

5 = H / 150 + (H +270) / 190

5 = (190 * H + 150 * H + 270 * 150) / (150 * 190)

5 * 150 * 190 = 340 * H + 270 * 150

H = (5 * 150 * 190 - 270 * 150) / 340

H = 300

Therefore he said 300 words in Hungarian.

In Polish it would be:

P = 300 + 270 = 570

To check we have to:

300/150 + 570/190 = 5

Therefore, Sakura giving the instructions said 300 words in Hungarian and 570 in Polish.

8 0

3 years ago

3.) If 24 is a multiple of x, and x > 2, which of

astraxan [27]

Step-by-step explanation:

The answer to your question is (D) 16. This is the answer because if count by 16's it goes 16, 24, 36, etc. since 24 is a multiple its could also be x

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3 years ago

Read 2 more answers

a hiking path is represented by the equation y=3/8x on a coordinate map. The county would like to create a parallel path for bik

stepladder [879]

Answer:

The equation of the bike path on a coordinate map is represented by $y = \frac{3}{8}\cdot x +1$ .

Step-by-step explanation:

From Analytical Geometry, we know that resultant parallel line is a translated version of parent line. Two lines are parallel to each other when they share the same slope. The resultant line can be construted from slope-point form:

$y-y_{o} = m_{\parallel}\cdot (x-x_{o})$

Where:

$x_{o}$ , $y_{o}$ - Components of known point, dimensionless.

$m_{\parallel}$ - Slope of the parallel line, dimensionless.

In addition, a line has also this form:

$y = m\cdot x + b$

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$m$ - Slope, dimensionless.

$b$ - y-Intercept, dimensionless.

Given that parent function is $y = \frac{3}{8}\cdot x$ , the slope of the resulting line is $m_{\parallel} = \frac{3}{8}$ . Now, if $x_{o} = 16$ and $y_{o} = 7$ , we obtain the equation of the line: