Indoor
8 chairs x 6 (for each table) =48 indoor chairs
Outdoor
5 chairs x 2 (for each table) =10 outdoor chairs
Final Answer
48 indoor chairs+10 outdoor chairs=58 chairs
58 chairs in total
Answer:
Total surface area of the prism =145.32 Square centimeters
Step-by-step explanation:
The given figure is a rectangular prism with the given dimensions of :
length(L)= 10.3 cm
Width(W)=2.2 cm
Height(H)=4 cm
Total surface area of the rectangular prism is:
![= 2(L*W+W*H+H*L)\\\\=2((10.3*2.2)+(2.2*4)+(4*10.3))\\\\=2(22.66+8.8+41.2)\\\\=2(72.66)\\\\=145.32cm^2\\\\](https://tex.z-dn.net/?f=%3D%202%28L%2AW%2BW%2AH%2BH%2AL%29%5C%5C%5C%5C%3D2%28%2810.3%2A2.2%29%2B%282.2%2A4%29%2B%284%2A10.3%29%29%5C%5C%5C%5C%3D2%2822.66%2B8.8%2B41.2%29%5C%5C%5C%5C%3D2%2872.66%29%5C%5C%5C%5C%3D145.32cm%5E2%5C%5C%5C%5C)
Total surface area of the prism is 145.32 Square centimeters
Mr. Gardener's annual interest rate is 8%.
40,000/500,000 = 0.08
Answer:
x = -8
Step-by-step explanation:
Given the equation:
![27^x=9^{x-4}](https://tex.z-dn.net/?f=27%5Ex%3D9%5E%7Bx-4%7D)
Note that
![27=3^3\\ \\9=3^2,](https://tex.z-dn.net/?f=27%3D3%5E3%5C%5C%20%5C%5C9%3D3%5E2%2C)
then
![27^x=(3^3)^x=3^{3x}\\ \\9^{x-4}=(3^2)^{x-4}=3^{2(x-4)}](https://tex.z-dn.net/?f=27%5Ex%3D%283%5E3%29%5Ex%3D3%5E%7B3x%7D%5C%5C%20%5C%5C9%5E%7Bx-4%7D%3D%283%5E2%29%5E%7Bx-4%7D%3D3%5E%7B2%28x-4%29%7D)
Rewrite the equation as
![3^{3x}=3^{2(x-4)},](https://tex.z-dn.net/?f=3%5E%7B3x%7D%3D3%5E%7B2%28x-4%29%7D%2C)
then
![3x=2(x-4)\\ \\3x=2x-8\\ \\3x-2x=-8\\ \\x=-8](https://tex.z-dn.net/?f=3x%3D2%28x-4%29%5C%5C%20%5C%5C3x%3D2x-8%5C%5C%20%5C%5C3x-2x%3D-8%5C%5C%20%5C%5Cx%3D-8)
The derivative of sec x is equal to sec x tan x. The derivative of the first derivative can be determined using the rule of products. The derivative is equal to sec x sec^2 x + tan x * sec x tan x. The simplified answer is sec^3 x + sec^2 x tan x equal to sec^2 x ( sec x + tanx )