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Ad libitum [116K]
3 years ago
13

A square box is filled with two layers of identical square pieces of chocolate. Kirill had eaten all 20 pieces in the upper laye

r along the walls of the box, how many pieces of chocolate are left in the box?​
Mathematics
2 answers:
Natali [406]3 years ago
8 0

Answer: 50? Hope this helped.

Vikentia [17]3 years ago
4 0

Answer:

52.

Step-by-step explanation:

Since it is a square box, along the walls has

20 chocolates, only a 6x6 has 20 along the walls.

So 36+36 would be 72 and 72 - 20 is 52.

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Find the average value of f over region
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D is a right triangle with base length 1 and height 8, so the area of D is \dfrac12(1)(8)=4.

The average value of f(x,y) over D is given by the ratio

\dfrac{\displaystyle\iint_Df(x,y)\,\mathrm dA}{\displaystyle\iint_D\mathrm dA}

The denominator is just the area of D, which we already know. The average value is then simplified to

\displaystyle\frac74\iint_Dxy\,\mathrm dA

In the x,y-plane, we can describe the region D as all points (x,y) that lie between the lines y=0 and y=8x (the lines which coincide with the triangle's base and hypotenuse, respectively), taking 0\le x\le1. So, the integral is given by, and evaluates to,

\displaystyle\frac74\int_{x=0}^{x=1}\int_{y=0}^{y=8x}xy\,\mathrm dy\,\mathrm dx=\frac78\int_{x=0}^{x=1}xy^2\bigg|_{y=0}^{y=8x}\,\mathrm dx
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2 years ago
The freezing temperature of nitrogen is -210°C, and the freezing temperature of oxygen is -223°C. Which temperature is colder?
olasank [31]

Answer:

-223

Step-by-step explanation:

-210<-223

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2 years ago
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Line RS bisects PQ at point R, Find RQ if PQ = 14 cm
Dovator [93]
If PQ is 14, each segment, PR and RQ will be 7.
14 = PR + 7.
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3 years ago
If B is the midpoint of AC, and AB=5/2x+12 and AC=12x-4, what is the length of BC?
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Answer:

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Step-by-step explanation:

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Since AB = BC the answer is 5/2 * 4 + 12 = 22.

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