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3 years ago

6

2 thirds minus 7 over 12

2 answers:

Vladimir79 [104]3 years ago

7 0

Find LCD. LCD is 12.
2×4
3×4
8/12 - 7/12
Answer: 1/12

Ket [755]3 years ago

3 0

2/3 - 7/12
2x4=8
3x4=12
8/12-7/12
________
1/12

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Answer:

58 square feet

Step-by-step explanation:

The room is already broken down into two smaller rectangles.

The smaller of the two measures 4 ft by 2 ft. $A=lw$ , so substitute 4 for $l$ and 2 for $w$ .

$A$ (smaller rectangle) $=(4)(2)$ , or $(4*2)$ .

$A$ (smaller rectangle) $=8$

The larger measures 10 ft by 5 ft, so using the same method, multiply $l$ times $w$ .

$A$ (larger rectangle) $=(10)(5)$ , or $(10*5)$ .

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3 years ago

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ololo11 [35]

Since density is the ratio of mass to (in this case) area, we can find the mass of the triangular region $\mathcal T$ by computing the double integral of the density function over $\mathcal T$ :

$\mathrm{mass}=\displaystyle\iint_{\mathcal T}\rho(x,y)\,\mathrm dx\,\mathrm dy$

The boundary of $\mathcal T$ is determined by a set of lines in the $x,y$ plane. One way to describe the region $\mathcal T$ is by the set of points,

$\mathcal T=\left\{(x,y)\mid0\le x\le 3\,\land\,0\le y\le1-\dfrac x3\right\}$

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$=\displaystyle\int_{x=0}^{x=3}\left(x^2y+\frac{y^3}3\right)\bigg|_{y=0}^{y=1-x/3}\,\mathrm dx$

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$=\displaystyle\frac1{81}\int_0^3(27-27x+90x^2-28x^3)\,\mathrm dx=\frac52$

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