Answer:
14.83m
Step-by-step explanation:
In an equilateral triangle, of side l and altitude h we have:
h=l/2×sqrt(3).
l=2h/sqrt(3)=2×12.84/1.73=14.83m
Answer:
x = 30.66°
Step-by-step explanation:
The sum of the interior angles of a hexagon is 720°
Each angles are x^0, (5x - 103); (2x + 60), (7x - 31), (6x -6), and (9x - 100),
we add all these angles together
x^0 + (5x - 103) + (2x + 60) + (7x - 31) + (6x -6) + (9x - 100) = 720
x^0 = 1
1 + (5x - 103) + (2x + 60) + (7x - 31) + (6x -6) + (9x - 100)
1 + 5x - 103 +2x + 60 + 7x -31 + 6x - 6 + 9x - 100 = 720
1 - 103 + 60 - 31 - 6 - 100 + 5x + 2x + 7x + 6x + 9x = 720
1 - 180 + 29x = 720
-179 + 29x = 720
29x = 720 + 179 = 889
x = 889/29 = 30.655 ≅ 30.66°
Answer:
Since the 'base' and 'top' of any prism have the same shape, the surface area can be found by
surface area of prism = 2 * area of base + perimeter of base * H
So for the rectangular prism in your example..
surface area = 2LW + 2(L+W)H
= 2 * 7 * 4 + 2*(7+4)*5
= 56 + 2 * 11 * 5
= 56 +110
= 166 sq cm
Hope this helps
Answer:
41.23
Step-by-step explanation:
Mean = (23 + 50 + 49 + 48 + 49 + 32 + 37 + 40 + 41 + 42 + 41 + 41 + 43) ÷ 13
Mean = 536 ÷ 13 = 41.23 (rounded up to two decimal places)
If xy=0, assume that x and/or y=0
so we already gots factored
therfor
assume
3n-2=0 and 4n+1=0
solve
3n-2=0
3n=2
n=2/3
4n+1=0
4n=-1
n=-1/4
n=2/3 and/or -1/4
