Mathematics: Need help step by step thanks

Need help step by step thanks - id5889931, korbenbrown7554

maddielr17

23.01.2022

/BO/=|OC|[Rdius]

AO=2+3=5

considering triangleAOC

${ao}^{2} = {ac}^{2} + {oc}^{2}$

${5}^{2} = {3}^{2} + {ac}^{2}$

${ac}^{2} = {5}^{2} - {3}^{2}$

ac = 4

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ale3133

31.01.2022

Yes, fan will provide enough airflow in the ranger station.

Step-by-step explanation:

A ranger station consist of a rectangular pyramid and a rectangular prism.

So volume of air in ranger station = volume of prism + volume of a pyramid

Volume of a rectangular prism = Length×Width×height

= 10×8×8 = 640 ft³

Volume of the pyramid = $\frac{1}{3}(\text{area of the base)(height)}$

= $\frac{1}{3}(10)(8)(3)$

= 80 ft³

Total volume of the ranger station = 640 + 80 = 720 ft³

Since CFM has the airflow capacity of 1500 cubic feet per minute so one CFM will be sufficient for the volume of 720 ft³.

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