<span>We have to calculate the length of the missing side.
Use the Pythagorean theorem:
![a^2+32^2=58^2\\\\a^2+1024=3364\ \ \ |-1024\\\\a^2=2340\to a=\sqrt{2340}\\\\a=\sqrt{36\cdot65}\\\\a=6\sqrt{65}](https://tex.z-dn.net/?f=a%5E2%2B32%5E2%3D58%5E2%5C%5C%5C%5Ca%5E2%2B1024%3D3364%5C%20%5C%20%5C%20%7C-1024%5C%5C%5C%5Ca%5E2%3D2340%5Cto%20a%3D%5Csqrt%7B2340%7D%5C%5C%5C%5Ca%3D%5Csqrt%7B36%5Ccdot65%7D%5C%5C%5C%5Ca%3D6%5Csqrt%7B65%7D)
![\cos x=\dfrac{6\sqrt{65}}{58}=\dfrac{3\sqrt{65}}{29}](https://tex.z-dn.net/?f=%5Ccos%20x%3D%5Cdfrac%7B6%5Csqrt%7B65%7D%7D%7B58%7D%3D%5Cdfrac%7B3%5Csqrt%7B65%7D%7D%7B29%7D)
I think. Your answers to choice are wrong.
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I believe the area of the blank rectangle, the biggest one, is 2800. The whole rectangle all together is 3225.
Explanation:
Since the length of one of the rectangles is 70, the rectangle with an area of 210 will have a side length of 3. This means the rectangle with an area of 15 has a side length of 5. <em>That</em> means the rectangle with an area of 200 has a side length of 40. Therefore, the blank rectangle has an area of 2800, as it's 2 side lengths are 70 and 40.
Answer:
30 liters
Step-by-step explanation:
To me it's kind of like multiplying and dividing.
So, what I did was 30,000 divided by 30 and got 1,000.
1,000 x 30 = 30,000.
That's what I did. You probably have your own way of doing it, but the answer is 30. I'm sorry if my explanation isn't good enough but I tried. Thanks for the question and enjoy your answer :)
Answer:
y=2 16/25
in other words, two and sixteen twenty-fifths
Step-by-step explanation:
y/2-1/5=2-y/3
Move the variables to one side and constants to the other
y/2+y/3=2+1/5
Multiply y/2 by 3/3 and y/3 by 2/2 so that they have a common denominator
3y/6+2y/6=2 1/5
5y/6=11/5
Cross multiply
66=25y
y=66/25
y=2 16/25
HOPE THIS HELPS!!!