Answer:
806.12 m
Step-by-step explanation:
<u>Step 1: Write the data</u>
<em>Side (s) = 12</em>
<em>Altitude (h) = 6</em>
<u>Step 2: Write the formula for surface area of right hexagonal pyramid</u>
<em>Area = 3√3/2*s² + 3*s*√(h²+3s²/4)</em>
<u>Step 3: Substitute values of 's' and 'h'</u>
<em>Area = 3√3/2*(12)² + 3*(12)*√[6²+3(12)²/4]</em>
Area = 806.12 m
Therefore, the total surface area of the pyramid is 806.12 m.
!!
Answer:
13 3/4
Step-by-step explanation:
Answer:
y" = csc(x)[9cot²(x) - csc²(x)]
Step-by-step explanation:
Step 1: Define
y = 9csc(x)
Step 2: Find 1st derivative
y' = -9csc(x)cot(x)
Step 3: Find 2nd derivative
y" = 9csc(x)cot(x)cot(x) + -csc(x)csc²(x)
y" = 9csc(x)cot²(x) - csc³(x)
y" = csc(x)[9cot²(x) - csc²(x)]
Answer:
(x + 6)(x - 4)
Step-by-step explanation:
x² + 2x - 24
(x + 6)(x - 4)
-4 and +6 multiply to 24 and add to +2.