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2 years ago

There are 15 groups with 90 sixth graders and 60 seventh graders how many students are in each group

Mathematics

1 answer:

ANTONII [103]2 years ago

5 0

Answer: 10 students in each group

Step-by-step explanation: Add 90 + 60 which is 150

Divide 150 by 15 to find out the amount of students in each group.

150 divided by 15 is 10.

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Solve: 2cos(x)-square root 3=0 for 0 less than x less than 2 pi

Leona [35]

Answer:

The general solution of $cos x = cos(\frac{\pi }{6})$ is

x = 2nπ± $\frac{\pi }{6}$

The general solution values

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

Step-by-step explanation:

Explanation:-

Given equation is

$2cosx-\sqrt{3} =0 for 0$

$2cosx =\sqrt{3}$

Dividing '2' on both sides, we get

$cos x =\frac{\sqrt{3} }{2}$

$cos x = cos(\frac{\pi }{6})$

General solution of cos θ = cos ∝ is θ = 2nπ±∝

Now The general solution of $cos x = cos(\frac{\pi }{6})$ is

x = 2nπ± $\frac{\pi }{6}$

put n=0

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

Put n=1

$x = 2\pi +\frac{\pi }{6} = \frac{13\pi }{6}$

$x = 2\pi -\frac{\pi }{6} = \frac{11\pi }{6}$

put n=2

$x = 4\pi +\frac{\pi }{6} = \frac{25\pi }{6}$

$x = 4\pi -\frac{\pi }{6} = \frac{23\pi }{6}$

And so on

But given 0 < x< 2π

The general solution values

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

6 0

3 years ago

100e^0.125t=200 A. t= ln(16) B. t= ln(256) C. t= 8ln(100) D. t= 0.08ln(200)

Drupady [299]

The correct answer is C. t= 8ln(100)

Hope this helped! :)

^-^

5 0

4 years ago

you are given (x, y) cordinates of each vertex of a triangle how would you use the slope formula to determine if a triangle in t

shtirl [24]

In a right triangle there are 2 legs and a hypotenuse. The way you can tell if it's a right triangle is by finding the slope of both the legs. If their slopes are opposite reciprocals of each other, then they are perpendicular. By definition, perpendicular lines meet to create a right angle.

6 0

3 years ago

fermium-253 has a half-life of three days. a sample contains 400 g. how long will it take for the sample to decay to 100 g?

sladkih [1.3K]

This is a relatively easy half life calculation.
After one half-life period, half of the isotope remains.
After two half-life periods, one quarter of the isotope remains.
That being the case, we see this will take 2 half-life periods or 6 days.

6 0

3 years ago

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Determine the equation of a circle with a center at (–4, 0) that passes through the point (–2, 1) by following the steps below.

Nikitich [7]

Answer:

C. (x + 4)² + y² = 5

Step-by-step explanation:

i just did it

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3 years ago

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