What is the percent of 200 miles is 150

Mathematics

1 answer:

mixas84 [53]3 years ago

6 0

The answer is 75% Proportions can help with this :)

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Identify three solutions of the inequality x < 1

oksano4ka [1.4K]

Answer:

-1, -2, -3

Step-by-step explanation:

any number less than 1 will work

5 0

3 years ago

Read 2 more answers

Please help me solve this exercise.!!

Volgvan

<h3>Answer: -4/3</h3>

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Explanation:

Let's square both sides and do a bit of algebra to get the following.

$\sin(x) + \cos(x) = 1/5\\\\\left(\sin(x) + \cos(x)\right)^2 = \left(1/5\right)^2\\\\\sin^2(x) + 2\sin(x)\cos(x) + \cos^2(x) = 1/25\\\\\sin^2(x) + \cos^2(x) + 2\sin(x)\cos(x) = 1/25\\\\1 + 2\sin(x)\cos(x) = 1/25\\\\\sin(2x) = 1/25 - 1\\\\\sin(2x) = 1/25 - 25/25\\\\\sin(2x) = -24/25\\\\$

Now apply the pythagorean trig identity to determine cos(2x) based on this. You should find that cos(2x) = -7/25

This then means tan(2x) = sin(2x)/cos(2x) = 24/7.

From here, you'll use this trig identity

$\tan(2x) = \frac{2\tan(x)}{1-\tan^2(x)}\\\\$

which is the same as solving

$\tan(2x) = \frac{2w}{1-w^2}\\\\$

where w = tan(x)

Plug in tan(2x) = 24/7 and solve for w to get w = -4/3 or w = 3/4

So either tan(x) = -4/3 or tan(x) = 3/4.

If we were to numerically solve the original equation for x, then we'd get roughly x = 2.21; then notice how tan(2.21) = -1.345 approximately when your calculator is in radian mode.

Since tan(x) < 0 in this case, we go for tan(x) = -4/3

8 0

3 years ago

3(x+4.5)=36 what is x

Anna35 [415]

Answer:

$x=7.5$