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Valentin [98]
3 years ago
13

342.857 to the nearest hundredth

Mathematics
1 answer:
ryzh [129]3 years ago
5 0
The answer is 342.86
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How can I create a sine graph that has a period of 2π and an amplitude of 3?
inna [77]

Hello!


The parent function of the graph of sin is y = sin(x).


Amplitude is the maximum displacement on the graph of a function.

Period is the displacement of x at which the graph of a function begins to repeat.

The period can be found by using the formula: P = \frac{2\pi}{B}.


Since the amplitude is 3, the graph of sin is y = 3sin(x).


Given the period 2π, we can substitute this value into the given formula, P = \frac{2\pi}{B}, to find B.


2π = 2π / B (multiply B to both sides)

2π · B = 2π (divide by 2π)

B = 1


Thus, the equation is y = 3sin(x). I'll post the graph as well.

6 0
3 years ago
3.If the ratio of lynx to mountain lions and wolverines in the park is 2:3:1.So for every 2 lynx, there are 3 mountain lions and
Zolol [24]
A.  The ratio of lynx to mountain lions to wolverines is 2:3:1.

Thus, there are 2 lynx in the ratio.  If there were 6 lynx, we would have to multiply all of the numbers in the ratio by 3 (because 6/2 = 3) to keep the ratio in the same proportion.  

Therefore, because there is 1 wolverine in the ratio, and 1 * 3 = 3, if there were 6 lynx, there would be 3 wolverines.

b. We can use the same ideas that we had in part a to help us in part b.
There are 3 mountain lions in the ratio, but there are 15 mountain lions in the problem.  Thus, the multiplier is 5, because 15/3=5.

Therefore, because there are 2 lynx in the ratio, and 2*5 = 10, if there were 15 mountain lions, there would be 10 lynx.

c.  There is one wolverine in the ratio, but there are 10 wolverines in the problem.  Thus, the multiplier is 10, because 10/1 = 10

Therefore, because there are 3 mountain lions in the ratio, and 3 * 10 = 30, if there were 10 wolverines in the park, then there would be 30 mountain lions.

d.  The total number of lynx, mountain lions, and wolverines is 30.
To find out how many of each animal there should be, we must make an equation using the ratio and the variable x. 

2x + 3x + 1x = 30

This equation means that the total number of animals together is 30, which is true.  Now let's simplify by combining like terms.

6x = 30

Finally, we can simplify by dividing both sides by the coefficient of x, or 6.

x = 5

Thus, going back to our original equation, we know that the amount of lynx is 2x, mountain lions is 3x, and wolverines is 1x.

Lynx = 2x = 2(5) = 10 lynx
Mountain Lion = 3x = 3(5) = 15 mountain lions
Wolverines = 1x = 1(5) = 5 wolverines

Hope this helps! :)

7 0
3 years ago
I need help with this question on my geometry homework
Margarita [4]

Answer:

x = 250°

Step-by-step explanation:

Inscribed angle = ½(intercepted arc measure) (inscribed angles theorem)

x is intercepted arc measure

125° is the inscribed angle

Therefore:

125° = ½(x)

Multiply both sides by 2

2*125° = x

250 = x

x = 250°

7 0
3 years ago
Two inches is approximately
murzikaleks [220]

Answer:

5.08 cm

Step-by-step explanation: You dont have the choices for answers.

2inches is also 1/6 of a foot, etc

5 0
3 years ago
A painter takes 2 3/5 hours to paint a wall. How many hours will the painter take to paint 8 walls if she works at the same rate
Naya [18.7K]
2 3/5 X 8 = 20.8 hours

7 0
3 years ago
Read 2 more answers
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