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2 years ago

5

Christy bought an 8 foot piece of lumber to trim a bookshelf.Altogether she needs 100 inches of lumber for the trim. Did christy

buy enough lumber? Explain

1 answer:

soldi70 [24.7K]2 years ago

6 0

Christy did not get enough because 12 times 8 = 96. she needs 4 for inches.

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WITCHER [35]

Answer:

C. 8 to the -12 power

Step-by-step explanation:

when dividing numbers with an exponent, if they are the same # like 8 and 8, then you just subtract the exponents so 4 - 16 = -12

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2 years ago

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Find the volumes of the solids generated by revolving the triangle with vertices (2, 2), (2, 6), and (5, 6) about a) the x-a

Vesna [10]

About the $x$ -axis (washer method):

$\displaystyle\pi\int_2^5\left(6^2-\left(\frac43x-\frac23\right)^2\right)\,\mathrm dx=\frac{16\pi}9\int_2^5(20+x-x^2)\,\mathrm dx=\boxed{56\pi}$

About the $y$ -axis (shell method):

$\displaystyle2\pi\int_2^5x\left(6-\left(\frac43x-\frac23\right)\right)\,\mathrm dx=\frac{8\pi}3\int_2^5x(5-x)\,\mathrm dx=\boxed{36\pi}$

About $x=7$ (shell method):

$\displaystyle2\pi\int_2^5(7-x)\left(6-\left(\frac43x-\frac23\right)\right)\,\mathrm dx=\frac{8\pi}3\int_2^5(35-12x+x^2)\,\mathrm dx=\boxed{48\pi}$

About $y=2$ (washer method):

$\displaystyle\pi\int_2^5\left((6-2)^2-\left(\frac43x-\frac23-2\right)^2\right)\,\mathrm dx=\frac{16\pi}9\int_2^5(5+4x-x^2)\,\mathrm dx=\boxed{32\pi}$

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3 years ago

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tigry1 [53]

Step-by-step explanation:

Step 1: <em>Calculate per apartment;</em>

<em>⟼</em> 228,000 ÷ 24

⟼ 9,500

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Step 3: <em>Substract the amount of 10 apartments from 24 apartments.</em>

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⟼ 133,000

<u>Therefore, </u>$133,000 is still available for the remaining apartments.

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2 years ago

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Pavlova-9 [17]

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3 years ago

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Solnce55 [7]

Answer:

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2 years ago