PRINTED GUIDE COMPANION · MISSION 8

Printed-Problem Help

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VIDEO HELP · TG-V9-060

Solve a Water-Reserve Inequality (TG-V9-060)

Solve the water-reserve inequality and check why day 12 meets the 240-liter reserve while day 13 does not.

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VIDEO HELP · TG-V9-061

Find a Cylindrical Habitat’s Volume (TG-V9-061)

Multiply the circular base area by the six-meter height to find 96Ï€ cubic meters, about 301.6 cubic meters.

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VIDEO HELP · TG-V9-062

Find a Hemispherical Roof’s Volume (TG-V9-062)

Halve the sphere formula to find about 134.0 cubic meters beneath the roof, then check by doubling.

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VIDEO HELP · TG-V9-063

Resolve a Tilted Solar Panel’s Length (TG-V9-063)

Use sine and cosine to resolve a five-meter panel into a 2.5-meter rise and approximately 4.33-meter horizontal span.

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VIDEO HELP · TG-V9-064

Find a Support’s Angle from Rise and Run (TG-V9-064)

Recognize the 3–4–5 triangle, find the support angle with inverse sine or inverse tangent, and use the angle sum to find the other acute angle.

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VIDEO HELP · TG-V9-065

Solve an Accumulation-Limit Inequality (TG-V9-065)

Solve the classroom accumulation limit, distinguish the exact time bound from 13 whole hours, and check the totals at 13 and 14 hours.

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VIDEO HELP · TG-V9-066

Calculate Power After a Percent Loss (TG-V9-066)

Calculate the original 4,320 watts, retain 88 percent after the loss, and check the new 3,801.6-watt output by subtraction.

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VIDEO HELP · TG-V9-067

Check Power Against a Safety-Margin Target (TG-V9-067)

Convert the demand to watts, add the safety margin, and compare available power with the 4,140-watt target to find the 338.4-watt shortfall.

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