First we need to find the length of the missing triangle side which we can do with Pythagorean theorem
A2+B2=C2
5^2+3^2= x^2
25+9=x^2
34=x^2
You square booth sides and end up with a decimal of 5.831 rounded for the missing side.
Area for a rectangle is length times width so we multiply 7x5.831=40.817
Area of a triangle is the height times the base divided by 2 so 5.831x3= 17.493
Then you add those to together for the total area of the shape 40.817+17.493=58.31
58.31 is your approximate answer.
Answer:
Step-by-step explanation:
Volume of the shipping container = Lengt * Breadth * Height
Given
Length = 4x² + 3x
Breadth = x² – 8
Height = 6x +15
Volume of the container = ( 4x² + 3x)( x² - 8)(6x+15)
( 4x² + 3x)( x² - 8) = 4x⁴-32x²+3x³-24x
( 4x² + 3x)( x² - 8) = 4x⁴+3x³-32x²-24x
(4x⁴+3x³-32x²-24x)(6x+15) = 24x⁵+60x⁴+18x⁴+45x³-192x³-480x²-144x²-360x
Collect like terms
( 4x² + 3x)( x² - 8)(6x+15) = 24x⁵+78x⁴-147x³-624x²-360x
Hence the standard form polynomial representing the volume of this shipping container is expressed as V = 24x⁵+78x⁴-147x³-624x²-360x
Answer:
12 pound
Step-by-step explanation:
Let 
be the weight of the package.
For Lone Star Shipping, the cost will be:
For Discount Shipping Company, the cost will be:
We hence equate these two expressions equal to each other, since the cost should be same.
Answer:
So we can simplify this to
36+4x=-1
We can subtract by 64 on both sides. 4x = -37. Therefore the answer to this is
x = -37/4 = -9.25.
So the answer for x is -16.25. If you were trying to do a quadratic equation then sorry because you worded it wrong, and I solved properly.
<h2 /><h2><u>
Answer: -9.25</u></h2>
It looks like you already have a common denominator (y^2-9). So, you can just add the two numerators and put that over the common denominator. Hope this helps!
