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galben [10]
2 years ago
6

Please, i need help :(

Mathematics
1 answer:
ollegr [7]2 years ago
7 0

Answer:

First of all, find x from the Pythagorean theorem a^2+b^2=c^2, which c is the hypotenuse. 

7^2+24^2=c^2

49+576=c^2

c^2=625

c=25 or x=25

Next, we have to figure out the value of y and z. So, you need to use inverse trigonometric functions.

arctan(\frac{7}{24})=y=16.3 degrees. arctan(\frac{24}{7})=z=73.7 degrees.

All in all, the values are

x=25

y=16.3

z=73.7

Hope this helps and have a nice day!

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Compare the surface area-to-volume ratios of the moon and mars. express your answer using two significant figures.
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we know that

For a spherical planet of radius r, the volume V and the surface area SA is equal to

V=\frac{4}{3} *\pi *r^{3} \\ \\ SA=4*\pi *r^{2}

The
ratio of these two quantities may be written as

SAV =\frac{(4*\pi*r^{2})}{(\frac{4}{3}*\pi*r^{3})}     \\  \\ SAV =\frac{3}{r}

we know

rMoon=1,738Km\\ rMars=3,397 Km

\frac{SAV Moon}{SAV Mars} =\frac{3}{rMoon} *\frac{rMars}{3} \\ \\ \frac{SAV Moon}{SAV Mars} =\frac{rMars}{rMoon} \\ \\ \frac{SAV Moon}{SAV Mars} =\frac{3,397}{1,738} \\ \\ \frac{SAV Moon}{SAV Mars} =1.9545

therefore

the answer is

1.9

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the population of a town increases at a rate proportional to its population with an initial population of 1000. The corect initi
anyanavicka [17]

Answer:

This means that the correct initial value problem for the population p(t) as a function of time is is P(0) = 1000

Step-by-step explanation:

The population of a town increases at a rate proportional to its population:

This means that this situation is modeled by the following differential equation:

\frac{dP}{dt} = kP

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By separation of variables, the solution is given by:

P(t) = P(0)e^{kt}

In which P(0) is the initial population.

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Step-by-step explanation:

i think this is what you are asking for

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Answer:

D. The company's chocolate bars weigh 3.2 ounces on average.

Step-by-step explanation:

We are given that  a company claims that its chocolate bars weigh 3.2 ounces on average.

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Definition of 95% confidence level: 95% confidence level means a range of values that you can be 95% certain contains the true mean of the population.

Thus by considering definition we can conclude that The company's chocolate bars weigh 3.2 ounces on average.

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