Answer:
![6\sqrt{5}](https://tex.z-dn.net/?f=6%5Csqrt%7B5%7D)
Step-by-step explanation:
In any right triangle, the Pythagorean theorem states:
, where
and
are two legs of the triangle and
is the hypotenuse.
Plugging in given values, we have:
![12^2+VU^2=18^2,\\144+VU^2=324,\\VU^2=180,VU=\sqrt{180}=\sqrt{36}\cdot \sqrt{5}=\boxed{6\sqrt{5}}](https://tex.z-dn.net/?f=12%5E2%2BVU%5E2%3D18%5E2%2C%5C%5C144%2BVU%5E2%3D324%2C%5C%5CVU%5E2%3D180%2CVU%3D%5Csqrt%7B180%7D%3D%5Csqrt%7B36%7D%5Ccdot%20%5Csqrt%7B5%7D%3D%5Cboxed%7B6%5Csqrt%7B5%7D%7D)
Answer:
6
Step-by-step explanation:
The best estimate of the sum of the expression given is ![\rm 13 \dfrac {31}{26}](https://tex.z-dn.net/?f=%5Crm%2013%20%5Cdfrac%20%7B31%7D%7B26%7D)
What is a Fraction ?
A fraction is written as p/q , where q
0
It is asked to determine the sum of the fraction
31/4 + 17/3 + 8/18
Taking the LCM of 4 , 3 , 18
LCM of 4 , 3 ,18 is 36
Therefore
![\rm \dfrac{ 31 *9 + 17 *12 + 8 *2}{36 }](https://tex.z-dn.net/?f=%5Crm%20%5Cdfrac%7B%2031%20%2A9%20%2B%2017%20%2A12%20%2B%208%20%2A2%7D%7B36%20%7D)
(279+204+16) /36
499 / 36
![\rm 13 \dfrac {31}{26}](https://tex.z-dn.net/?f=%5Crm%2013%20%5Cdfrac%20%7B31%7D%7B26%7D)
Therefore the best estimate of the sum of the expression given is
.
To know more about Fraction
brainly.com/question/10354322
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Answer:
-4m-3
Step-by-step explanation:
-0.25 times 16 is the same thing as dividing 16 by -4. 16m divided by -4 is -4m
-0.25 times 12 is the same thing as dividing 12 by -4. 12 divided by -4 is -3
Step-by-step explanation: it would help to compare whitch the answer would be 5 to 7