Answer:
x =10
Step-by-step explanation:
angles are equivalent
170 = 2x + 6x + 90
170 - 90 = 8x +90 - 90
80 = 8x
10 = x
The width is the first numbers.
Width = 225 mm
Aspect ratio is the second number.
Aspect ratio is 45
Aspect ratio is width / height.
You have the ratio and width so you can calculate the height:
Multiply the width by the ratio:
Height = 225 x 0.45 = 101.25 mm
101.25/25.4 = 3.98 inches
The rim
Diameter is the last number
Rim diameter = 17 inches
So the overall height would be approximately 17 + 3.98 + 3.98 = 24.96 inches
Round the answers as needed.
To create a perfect square trinomial, halve the x coefficient, square it, and then add that value.
In the case of x² + 6x, we would have 6 to get 3, then square 3 to get 9.
We would add 9 to make a perfect square trinomial.
<u>
</u><u>Why this works</u>
A perfect square trinomial is designed to factor to some value (x+n)².
When you FOIL this you get x² + 2nx + n².
As you can see, if you wanted to find the value of that n², you could take that x coefficient 2n, halve it to get n, and then square it to get n²!
So
2/6 of 318=106
so 106-1/2 or 106/2=53
So he has 53 boxes left
