Answer:
The numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.
Step-by-step explanation:
Two numbers are consecutives, when their difference is equal to 1. The area of the triangle is determined by the following formula:
![A = \frac{1}{2}\cdot n \cdot (n+1)](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20n%20%5Ccdot%20%28n%2B1%29)
![A = \frac{1}{2}\cdot (n^{2}+n)](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%28n%5E%7B2%7D%2Bn%29)
![A = \frac{n^{2}}{2}+\frac{n}{2}](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7Bn%5E%7B2%7D%7D%7B2%7D%2B%5Cfrac%7Bn%7D%7B2%7D)
Where
is the shortest length of the triangle, measured in centimeters.
And we get the following second-order polynomial:
(1)
If we know that
, then the shortest length of the triangle is:
and ![n_{2} \approx -6.437\,cm](https://tex.z-dn.net/?f=n_%7B2%7D%20%5Capprox%20-6.437%5C%2Ccm)
Since length is a positive variable, the only possible solution is:
![n\approx 5.437\,cm](https://tex.z-dn.net/?f=n%5Capprox%20%205.437%5C%2Ccm)
Then, the numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.
-4x +8y = 24
8y = 24+ 4x
y = 24/8 + 4x/8
y = 3+ x/2
Hope it helps!
#MissionExam001
Answer:
12 inches
Step-by-step explanation:
3+4+5=12
48/12=4
3*4=12
Answer:
For starters for the angles to be complementary they have to be 90 degrees
and angle ECD is a 52 degree angle. Next, you would need to subtract 52 degrees from 90 degrees and get an answer of 38 degrees. Making DCF a 38 degree angle.
Step-by-step explanation:
First, find the thousands place. Look to the right of the number.
If it's 4 or down, round down. If it's 5 or up, round up.
The number to the right of the thousands is 9, so we round up.
700,000 is our answer.
Hope this helps!
~LENA~