7.) Area of a square pyramid is given by A = s^2 + 2sl; where s is the side length of the base and l is the slant height.
Area of given pyramid = 4^2 + (2 x 4 x 7) = 16 + 56 = 72 ft^2
8.) Area of the given pyramid is the area of the hexagonal base plus the area of the six slant triangles.
Area of hexagonal base = (3sqrt(3))/2 x 10^2 = 150 x 1.732 = 259.8
Area of the 6 traingles = 6(1/2 x 10 x 13) = 6 x 65 = 390
Total surface area of the pyramid = 259.8 + 390 = 649.8 ≈ 650 m^2
9.) Using pythagoras rule, the slant height is sqrt(6^2 + 3.5^2) = sqrt(36 + 12.25) = sqrt(48.25) = 6.9 mm
10.) The surface area of a cone is given by πr^2 + πrl
Area = π x 6^2 + π x 6 x 20 = 36π + 120π = 490.1 cm^2
11.) l = sqrt(r^2 + h^2) = sqrt(11^2 + 16^2) = sqrt(121 + 256) = sqrt(377) = 19m
<h3>
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➷ volume = length x width x height
volume = 6 x 3 x 8
volume = 144 cubic ft
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Answer:
If I read this right
3 (n -12) + 14 = 4 (7 - 5n)
First, remove the parentheses
3 n - 36 + 14 = 28 - 20 n
Combining terms
23 n = 28 - 14 + 36 = 50
n = 50 / 23 = 2 4/23 = 2.17
Answer:
-x+11
Step-by-step explanation:
am not sure if this is correct but
2x-3x=-x
-7+18=11
-x+11
