Answer:
10 sq units
Step-by-step explanation:
The area of a triangle is 1/2bh
b= 5 units
h= 4 units
1/2(5)(4)= 10
To find all of the feet of pipe that Brad has, you add both of the lengths of the pipes together. So 2 5/12+3 7/12. Add the numbers together first, 5. Then add the fractions, 5/12+7/12=1. So add 5 and 1 and you get 6 feet of pipe. Hope this helps.
First you must have the quadratic equal to zero. In order to do this you must subtract 7 to both sides
x^2 + 20x + (100 - 7) = 7 - 7
x^2 + 20x + 93 = 0
Now you must find two numbers who's sum equals 20 and their multiplication equal 93
Are there any? NO!
This means that you have to use the formula:
![\frac{-b±\sqrt{b^{2} - 4ac} }{2a}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%C2%B1%5Csqrt%7Bb%5E%7B2%7D%20-%204ac%7D%20%7D%7B2a%7D)
In this case:
a = 1
b = 20
c = 93
![\frac{-(20) plus/minus\sqrt{20^{2} - 4(1)(93)} }{2*1}](https://tex.z-dn.net/?f=%5Cfrac%7B-%2820%29%20plus%2Fminus%5Csqrt%7B20%5E%7B2%7D%20-%204%281%29%2893%29%7D%20%7D%7B2%2A1%7D)
![\frac{-20 plus/minus\sqrt{400 - 372} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-20%20plus%2Fminus%5Csqrt%7B400%20-%20372%7D%20%7D%7B2%7D)
![\frac{-20 plus/minus\sqrt{28} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-20%20plus%2Fminus%5Csqrt%7B28%7D%20%7D%7B2%7D)
^^^We must simplify √28
√28 = 2√7
so...
![\frac{-20 plus/minus 2\sqrt{7} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-20%20plus%2Fminus%202%5Csqrt%7B7%7D%20%7D%7B2%7D)
simplify further:
![-10 plus/minus\sqrt{7](https://tex.z-dn.net/?f=-10%20plus%2Fminus%5Csqrt%7B7)
-10 + √7
or
-10 - √7
***plus/minus = ±
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
1. c. 628 cubic cm
2. c. 502 cubic inches
Step-by-step explanation:
![V=\pi r^{2} h\\](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E%7B2%7D%20h%5C%5C)
1.) 3.14 x 5^2 x 8
3.14 x 25 x 8 = 628
2.) 3.14 x ( 8/2 )^2 x 10
3.14 x 4^2 x 10
3.14 x 16 x 10 = 502.4
2.25 dollars for each tube of paint. you just have to divide 18 and 8