Answer:
Step-by-step explanation:
1) x +22.5 = 49.25
Subtract 22.5 from both sides
x + 22.5 - 22.5 = 49.25 - 22.5
x = 26.75
Checking: LHS = x + 22.5 = 26.75 + 22.5 = 49.25 = RHS
2) 37.2 = n - 12
Add 12 to both sides
37.2 + 12 = n - 12 + 12
49.2 = n
n = 49.2
3) 55t = 176
Divide both sides by 55
![\frac{55t}{55}=\frac{176}{55}\\\\t = 3.2](https://tex.z-dn.net/?f=%5Cfrac%7B55t%7D%7B55%7D%3D%5Cfrac%7B176%7D%7B55%7D%5C%5C%5C%5Ct%20%3D%203.2)
Answer:
D = 7h
Step-by-step explanation:
hope it's right. :))
Z = 0.03 or 0.009/0.3
you just divide both sides by 0.03 to get z by itself
Answer:
Part 1) ![42=\frac{1}{2}x(x-5)](https://tex.z-dn.net/?f=42%3D%5Cfrac%7B1%7D%7B2%7Dx%28x-5%29)
Part 2) The length of the base is ![x=12\ m](https://tex.z-dn.net/?f=x%3D12%5C%20m)
Step-by-step explanation:
Part 1) Which equation would be help solve the following problem?
Let
x----> the length of the base of a triangle
y----> the height of a triangle
we know that
The area of a triangle is
![A=\frac{1}{2}xy](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7Dxy)
![A=42\ m^{2}](https://tex.z-dn.net/?f=A%3D42%5C%20m%5E%7B2%7D)
so
------> equation A
-----> equation B
Substitute equation B in equation A
![42=\frac{1}{2}x(x-5)](https://tex.z-dn.net/?f=42%3D%5Cfrac%7B1%7D%7B2%7Dx%28x-5%29)
Part 2) Find the length of the base
we have
![42=\frac{1}{2}x(x-5)](https://tex.z-dn.net/?f=42%3D%5Cfrac%7B1%7D%7B2%7Dx%28x-5%29)
solve for x
![84=x^{2}-5x\\x^{2}-5x-84=0](https://tex.z-dn.net/?f=84%3Dx%5E%7B2%7D-5x%5C%5Cx%5E%7B2%7D-5x-84%3D0)
Solve the quadratic equation by graphing
The solution is ![x=12\ m](https://tex.z-dn.net/?f=x%3D12%5C%20m)
see the attached figure