First deducte his contribution
7,058−7,058×0.70
=2,117.4
Then find weekly deduction
2,117.4÷52
=40.72
Answer:
Step-by-step explanation:
ΔABC & ΔADE are similar triangles
![\frac{AD}{AB}=\frac{DE}{BC}\\\\\frac{12}{4}=\frac{12}{x}\\](https://tex.z-dn.net/?f=%5Cfrac%7BAD%7D%7BAB%7D%3D%5Cfrac%7BDE%7D%7BBC%7D%5C%5C%5C%5C%5Cfrac%7B12%7D%7B4%7D%3D%5Cfrac%7B12%7D%7Bx%7D%5C%5C)
Cross multiply,
12*x = 12*4
![x=12*\frac{4}{12}\\](https://tex.z-dn.net/?f=x%3D12%2A%5Cfrac%7B4%7D%7B12%7D%5C%5C)
x = 1 * 4
x = 4
There are no real solutions
6m3 - 16m2 + 15m - 40<span> Simplify —————————————————————
2m2 + 5
</span>Checking for a perfect cube :
<span> 4.1 </span> <span> 6m3 - 16m2 + 15m - 40</span> is not a perfect cube
Trying to factor by pulling out :
<span> 4.2 </span> Factoring: <span> 6m3 - 16m2 + 15m - 40</span>
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 15m - 40
Group 2: <span> -16m2 + 6m3</span>
Pull out from each group separately :
Group 1: (3m - 8) • (5)
Group 2: <span> (3m - 8) • (2m2)</span>
-------------------
Add up the two groups :
<span> (3m - 8) • </span><span> (2m2 + 5)</span>
<span>Which is the desired factorization</span>
<span>3m-8 is the answer</span>
The decimal approximations are:
The square root of 5 is about 2.2
The square root of 8 is about 2.8
pi is about 3.14
2 square roots of 5 are about 4.4
The numbers are also placed in order from least to greatest.