96=(x+8)*x*(x-2)=x^3 +6x^2 -16x. Solve to get x= -6,-4,4. Negative distance doesn't make sense, so x=+4. Therefore, length is (x+8)=(4+8)= 12, width=x=4, and height=(x-2)=(4-2)=2.
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Answer:
- Q11 - 12 sides
- Q12 - 10 sides
Step-by-step explanation:
<u>Use the formula for sum of interior angles of a regular polygon:</u>
<u>Each angle A measures:</u>
- S/n = 180(n - 2)/n
- A = 180(n - 2)n
- An = 180n - 360
- (180 - A)n = 360
- n = 360/(180 - A)
<h3>Question 11</h3>
<u>Each angle is 150, then finding n:</u>
- n = 360/(180 - 150)
- n = 360/30
- n = 12
<h3>Question 12</h3>
<u>Each angle is 144, find n:</u>
- n = 360/(180 - 144)
- n = 360/36
- n = 10
To know what kind of triangle is it. use the pythagorean theorem:
A^2 + B^2 = C^2,
where C is the longest side of the triangle
if it satisfies the equation then it is a right triangle
if it does not then A^2 + B^2 > C^2 so it is acute triangle
if A^2 + B^2 < C^2 it is obtuse triangle
18^2 + 13^2 ? 27^2
324 + 169 ? 729
493 < 729 so it is obtuse triangle
