Tanα=5/12
α=arctan(5/12)°
α≈22.62° (to nearest hundredth of a degree)
Measure the sides. And when you get all of the sides add them I'll and get the perimeter I think.
Volume of the prism is given by:
Volume=length×width×height
but
V=<span>18x^3+5x^2-2x
V=x(18x^2+5x-2)
V=x(9x-2)(2x+1)
Hence the possible expression for the dimensions of the shipping box is x by (9x-2) by (2x+1)</span>
The glass part of the frame is an illustration of fractions
The width of each side of the frame is 5 1/4 inches
<h3>How to determine the width of each side?</h3>
The given parameters are:
- Total width = 42 inches
- Glass part = 32 1/2 inches
Represent the width of each side with x.
So, we have:
Glass part + 2x = Total width
Substitute known values
31 1/2 + 2x = 42
Subtract 31 1/2 from both sides
2x = 10 1/2
Divide both sides by 2
x = 5 1/4
Hence, the width of each side of the frame is 5 1/4 inches
Read more about fractions at:
brainly.com/question/1622425
Answer:
Step-by-step explanation:
Equilateral triangles have 3 equal sides.
Thus, perimeter of triangle
= 3(2x -3)
= 3(2x) +3(-3) <em>(</em><em>expand</em><em>)</em>
= (6x -9) inches
Given that the perimeter is 83 inches,
6x -9= 83
6x= 83 +9 <em>(</em><em>+</em><em>9</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
6x= 92
