The height of an equilateral triangle with side s is s*sqrt(3)/2
The area of an equilateral triangle is therefore s^2*sqrt(3)/4
The area of a hexagon with side s is 6 times the area of an equilateral triangle
=6*s^2*sqrt(3)/4
=3s^2*sqrt(3)/2
Here s=4,
Area of base (hexagon) = 3*4^2*sqrt(3)/2=24sqrt(3)
Volume of prism
=(base area)*height
=24sqrt(3)*9
=216sqrt(3)
Answer:
x = 7
Step-by-step explanation:
Given
5x - 1 - 2x = 20, that is
3x - 1 = 20 ( add 1 to both sides )
3x = 21 ( divide both sides by 3 )
x = 7
Answer:
Step-by-step explanation:
1). By applying cosine rule in the given triangle,
cos(x°) = 
cos(x°) = 
x = 
x = 41.41°
2). By applying cosine rule in the given triangle,
cos(x°) = 
cos(x°) = 
x = 
x = 36.87°
3). By applying cosine rule in the given triangle,
cos(x°) = 
cos(x°) = 
x = 
x = 53.13°
Answer: (1,2) and (-1,4)
Step-by-step explanation:
Slope = 
The slope of the line given is - 1
Checking which of the ordered pair has the same slope , the formula will be used to check , and the only pair that will give - 1 is (1,2) and (-1,4)
Answer:
80
Step-by-step explanation:
20 x 4 = 80