Answer:
The hypotenuse is 25 inches.
Step-by-step explanation:
This is a right triangle, so the Pythagorean Theorem applies.
I will assume you know about the Pythagorean Theorem, therefore I will not define it.
Here, I am solving for the hypotenuse.
![a^2+b^2=c^2](https://tex.z-dn.net/?f=a%5E2%2Bb%5E2%3Dc%5E2)
![24^2+7^2=c^2](https://tex.z-dn.net/?f=24%5E2%2B7%5E2%3Dc%5E2)
![576+49=c^2](https://tex.z-dn.net/?f=576%2B49%3Dc%5E2)
![625 = c^2](https://tex.z-dn.net/?f=625%20%3D%20c%5E2)
![25=c](https://tex.z-dn.net/?f=25%3Dc)
Answer:
No:
Step-by-step explanation:
No, there is no way to further simplify this equation, unless there is a value for x.
#1 is 125
#3 is 1/2
#5 is the same as the question
#7 is 5p^3 over 3
#9 is 4/5
3.75+3.75=7.5
or
3×2.5=7.5
9514 1404 393
Answer:
-7/4
Step-by-step explanation:
Here, you can "invert and multiply" ...
![-\dfrac{7}{10}\div\dfrac{2}{5}=-\dfrac{7}{10}\times\dfrac{5}{2}=-\dfrac{7\times5}{(5\times2)(2)}=\boxed{-\dfrac{7}{4}}](https://tex.z-dn.net/?f=-%5Cdfrac%7B7%7D%7B10%7D%5Cdiv%5Cdfrac%7B2%7D%7B5%7D%3D-%5Cdfrac%7B7%7D%7B10%7D%5Ctimes%5Cdfrac%7B5%7D%7B2%7D%3D-%5Cdfrac%7B7%5Ctimes5%7D%7B%285%5Ctimes2%29%282%29%7D%3D%5Cboxed%7B-%5Cdfrac%7B7%7D%7B4%7D%7D)
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Alternatively, you can express each fraction using the same denominator, then find the quotient as the ratio of numerators.
![-\dfrac{7}{10}\div\dfrac{2}{5}=-\dfrac{7}{10}\div\dfrac{4}{10}=-7\div4=\boxed{-\dfrac{7}{4}}](https://tex.z-dn.net/?f=-%5Cdfrac%7B7%7D%7B10%7D%5Cdiv%5Cdfrac%7B2%7D%7B5%7D%3D-%5Cdfrac%7B7%7D%7B10%7D%5Cdiv%5Cdfrac%7B4%7D%7B10%7D%3D-7%5Cdiv4%3D%5Cboxed%7B-%5Cdfrac%7B7%7D%7B4%7D%7D)