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Elena-2011 [213]
3 years ago
14

To make dough, Reba needs 2 cups of

Mathematics
2 answers:
arsen [322]3 years ago
5 0

Answer:

<h2>B. 12 1/2 CUPS</h2>

Step-by-step explanation:

1 \:dough = 2\frac{1}{2} \:cups\:of\:flour\\5 \:batches=x

Cross multiply

x = 5\times 2\frac{1}{2} \\\\2\frac{1}{2}=\frac{2\times 2+1}{2}\\\\x=5\times \frac{5}{2}\\\\x=\frac{5\times \:5}{1\times \:2}\\\\x=\frac{25}{2}\\\\x=12\frac{1}{2}\:cups

brilliants [131]3 years ago
3 0

Answer:

The answer would be D.

Step-by-step explanation:

D. 10 1/2

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Step-by-step explanation:

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Answer:

The radius of the circle P = 2√10 = 6.325

Step-by-step explanation:

∵ AB is a tangent to circle P at A

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∵ BE = ED + DC + CB

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∴ (12)² = 8 × (14 + DC) ⇒ (12)²/8 = 14 + CD ⇒ CD = (12)²/8 - 14

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In ΔBDC and ΔPDE ⇒ ∵ ∠PDC = Ф , ∴ ∠PDE = 180 - Ф

Use cos Rule:

∵ r² = (PD)² + (DC)² - 2(PD)(DC)cosФ

∴ r² = 16 + 16 - 32cosФ = 32 - 32cosФ ⇒ (1)

∵ r² = (PD)² + (DE)² - 2(PD)(DE)cos(180 - Ф) ⇒ cos(180 - Ф) = -cosФ

∴ r² = 16 + 36 + 48cosФ = 52 + 48cosФ ⇒ (2)

∵ (1) = (2)

∴ 32 - 32 cosФ = 52 + 48cosФ

∴ 32 - 52 = 48cosФ + 32cosФ

∴ -20 = 80cosФ

∴ cosФ = -20/80 = -1/4

∴ r² = 32 - 32(-1/4) = 32 + 8 = 40

∴ r = √40 = 2√10 = 6.325

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