Answer:
![36x^{2} y^{2} z^{2}](https://tex.z-dn.net/?f=36x%5E%7B2%7D%20y%5E%7B2%7D%20z%5E%7B2%7D)
Step-by-step explanation:
Sorry it's late.
Answer:
18sqrt5 or 40.249
Step-by-step explanation:
by pythagorean theorem
Hypotenous^2=altitude^2+base^2
c^2=a^2+b^2
c^2=(18)^2+(36)^2
c^2=324+1296
c^2=1620
taking sqrt root
c=18sqrt5=40.249
Answer:
47.3 m³
Step-by-step explanation:
The garden shed is made up of a rectangular prism and a pyramid.
<h3><u>Volume of a rectangular prism</u></h3>
![\begin{aligned}\textsf{Volume of a rectangular prism}&=\sf width \times length \times height\\&=4 \times 4 \times 2\\&=16 \times 2\\&=32\;\; \sf m^3\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Ctextsf%7BVolume%20of%20a%20rectangular%20prism%7D%26%3D%5Csf%20width%20%5Ctimes%20length%20%5Ctimes%20height%5C%5C%26%3D4%20%5Ctimes%204%20%5Ctimes%202%5C%5C%26%3D16%20%5Ctimes%202%5C%5C%26%3D32%5C%3B%5C%3B%20%5Csf%20m%5E3%5Cend%7Baligned%7D)
<h3><u>Volume of a pyramid</u></h3>
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From inspection of the given diagram, the slant height of the pyramid is 3.5 m.
Calculate the perpendicular height of the pyramid using Pythagoras Theorem:
![\begin{aligned}\implies a^2+b^2&=c^2\\2^2+h^2&=3.5^2\\h^2&=8.25\\h&=\sqrt{8.25}\;\; \sf m\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Cimplies%20a%5E2%2Bb%5E2%26%3Dc%5E2%5C%5C2%5E2%2Bh%5E2%26%3D3.5%5E2%5C%5Ch%5E2%26%3D8.25%5C%5Ch%26%3D%5Csqrt%7B8.25%7D%5C%3B%5C%3B%20%5Csf%20m%5Cend%7Baligned%7D)
Therefore:
![\begin{aligned}\textsf{Volume of a pyramid}&=\dfrac{\sf length \times width \times height}{3}\\\\&=\dfrac{\sf 4 \times 4 \times \sqrt{8.25}}{3}\\\\& = 15.31883372\;\; \sf m^3\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Ctextsf%7BVolume%20of%20a%20pyramid%7D%26%3D%5Cdfrac%7B%5Csf%20length%20%5Ctimes%20width%20%5Ctimes%20height%7D%7B3%7D%5C%5C%5C%5C%26%3D%5Cdfrac%7B%5Csf%204%20%5Ctimes%204%20%5Ctimes%20%5Csqrt%7B8.25%7D%7D%7B3%7D%5C%5C%5C%5C%26%20%3D%2015.31883372%5C%3B%5C%3B%20%5Csf%20m%5E3%5Cend%7Baligned%7D)
<h3><u>Volume of the garden shed</u></h3>
![\begin{aligned}\implies \textsf{Volume of shed}&=\textsf{Volume of rectangular prism}+\textsf{Volume of pyramid}\\&=32+15.31883372\\& = 47.3\;\; \sf m^3\;(nearest\;tenth)\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Cimplies%20%5Ctextsf%7BVolume%20of%20shed%7D%26%3D%5Ctextsf%7BVolume%20of%20rectangular%20prism%7D%2B%5Ctextsf%7BVolume%20of%20pyramid%7D%5C%5C%26%3D32%2B15.31883372%5C%5C%26%20%3D%2047.3%5C%3B%5C%3B%20%5Csf%20m%5E3%5C%3B%28nearest%5C%3Btenth%29%5Cend%7Baligned%7D)
Answer:
12
Step-by-step explanation:
This is the answer because i am samrt
<span>To find the answer for how many cards were sold take the amount per card that she made a profit on which is $.35 multiply that by the amount she profited in one week which is $42. $.35 x $42 equals 120 cards sold.
Now that we know how many cards she sold, take that number (120 cards) and multiply is by the amount each card was sold for ($.75). 120 x $.75, which equals $90 all together before paying expenses.</span>