84
Step-by-step explanation:
You turn 3 1/2 into a decimal which is 3.5. Then, you multiply the 3.5 by the 24 boards to get how many ft long all the boards together will be.
Let the medium angle be B degrees
the small angle be A degrees
the large angle be C degrees
Then
C = 2 B + 20 ..................X
5 B = A + C ..................Y
Sum of all angles
A + B + C = 180 .............Z
Applying Y in Z
5 B + B = 180
6 B = 180
B = 30
From X C = 2 x 30 + 20 = 60 + 20 = 80
From Y 5 x 30 = A + 80
150 = A + 80
150 - 80 = A = 70
Hence medium angle B = 30 degrees
the small angle A = 70 degrees
the large angle C = 80 degrees
A median is a line that separates 2 halfs of data. Higher and lower. In this case median is represented by a line inside the box. Median doesnt have to be in exactly the midle of the box. That is very important to know.
We can see that in both boxes medians are practicaly the same. Which means that the correct answer is A
![\huge{\boxed{14x^3 + 7y^2 - 2}}](https://tex.z-dn.net/?f=%5Chuge%7B%5Cboxed%7B14x%5E3%20%2B%207y%5E2%20-%202%7D%7D)
The like terms can be grouped by their variables and exponents. Let's do that.
![x^3:\ \ \ 4x^3 + 6x^3 - 4x^3](https://tex.z-dn.net/?f=x%5E3%3A%5C%20%5C%20%5C%204x%5E3%20%2B%206x%5E3%20-%204x%5E3)
![y^2:\ \ \ 7y^2](https://tex.z-dn.net/?f=y%5E2%3A%5C%20%5C%20%5C%207y%5E2)
![1^1:\ \ \ \ -1 - 6 + 5](https://tex.z-dn.net/?f=1%5E1%3A%5C%20%5C%20%5C%20%5C%20-1%20-%206%20%2B%205)
Now, just add each group of like terms together by adding their coefficients.
![x^3:\ \ \ 4x^3 + 6x^3 - 4x^3\ \ \ \bf{=14x^3}](https://tex.z-dn.net/?f=x%5E3%3A%5C%20%5C%20%5C%204x%5E3%20%2B%206x%5E3%20-%204x%5E3%5C%20%5C%20%5C%20%5Cbf%7B%3D14x%5E3%7D)
![y^2:\ \ \ 7y^2\ \ \ \bf{=7y^2}](https://tex.z-dn.net/?f=y%5E2%3A%5C%20%5C%20%5C%207y%5E2%5C%20%5C%20%5C%20%5Cbf%7B%3D7y%5E2%7D)
![1^1:\ \ \ \ -1 - 6 + 5\ \ \ \bf{=-2}](https://tex.z-dn.net/?f=1%5E1%3A%5C%20%5C%20%5C%20%5C%20-1%20-%206%20%2B%205%5C%20%5C%20%5C%20%5Cbf%7B%3D-2%7D)
Now, add all the terms together. ![\boxed{14x^3 + 7y^2 - 2}](https://tex.z-dn.net/?f=%5Cboxed%7B14x%5E3%20%2B%207y%5E2%20-%202%7D)
Answer:
3
Step-by-step explanation: