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Darina [25.2K]
3 years ago
6

The height of a painting is √30 ft. Between which two consecutive whole numbers is √30? 7 and 8 6 and 7 4 and 5 5 and 6

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
8 0

Answer

5 and 6

Step-by-step explanation:

First | Find the square root of √30 (Put it in the calculator)

Answer | 5.47722557505...

Second | Round the number to the tenths

Anwer | 5.5 (ect the number in the hundreths place is greater than 5 so you bump up the 4 by 1 so 5.4 to 5.5)

Third | Get a line and see where 5.5 belongs it cant be 4 and 5 since the answer will need to be 4 or 5.0

Concusion | Here are the steps to find the answer hope this helped!

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Answer:

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Step-by-step explanation:

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3 years ago
The difference between two integers is 13 and their sum is 87. What are the two integers
e-lub [12.9K]
The answer would be 50 and 37.

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4 0
3 years ago
Read 2 more answers
Please Help!!<br><br>Use Euler’s formula to write in exponential form.
LekaFEV [45]

Answer:

C, 4e^{i(7\pi/4)}

Step-by-step explanation:

To remind you, Euler's formula gives a link between trigonometric and exponential functions in a very profound way:

e^{ix}=\cos{x}+i\sin{x}

Given the complex number 2\sqrt{2}-2i\sqrt{2}, we want to try to get it in the same form as the right side of Euler's formula. As things are, though, we're unable to, and the reason for that has to do with the fact that both the sine and cosine functions are bound between the values 1 and -1, and 2√2 and -2√2 both lie outside that range.

One thing we could try would be to factor out a 2 to reduce both of those terms, giving us the expression 2(\sqrt{2}-i\sqrt{2})

Still no good. √2 and -√2 are still greater than 1 and less than -1 respectively, so we'll have to reduce them a little more. With some clever thinking, you could factor out another 2, giving us the expression 4\left(\frac{\sqrt{2}}{2} -i\frac{\sqrt{2}}{2}\right) , and <em>now </em>we have something to work with.

Looking back at Euler's formula e^{ix}=\cos{x}+i\sin{x}, we can map our expression inside the parentheses to the one on the right side of the formula, giving us \cos{x}=\frac{\sqrt2}{2} and \sin{x}=-\frac{\sqrt2}{2}, or equivalently:

\cos^{-1}{\frac{\sqrt2}{2} }=\sin^{-1}-\frac{\sqrt2}{2} =x

At this point, we can look at the unit circle (attached) to see the angle satisfying these two values for sine and cosine is 7π/4, so x=\frac{7\pi}{4}, and we can finally replace our expression in parentheses with its exponential equivalent:

4\left(\frac{\sqrt2}{2}-i\frac{\sqrt2}{2}\right)=4e^{i(7\pi/4)}

Which is c on the multiple choice section.

4 0
3 years ago
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xeze [42]

Answer:

Step-by-step explanation:

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A ≤ B ≤ C

B = A+9

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A = 29°

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6 0
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Where is the table?????

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