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just olya [345]
3 years ago
14

Please can you help me with my question! I'm desperate! It's due for Monday:

Mathematics
1 answer:
maria [59]3 years ago
6 0

I observed that if I remove one (or all 8) piece(s) in the corners, and only them without adjacent ones, the total area does not change.

I consider the surface area of a small square as a unit of surface.

First class of solutions:

I removed all eight corners, leaving the total area unchanged.

I removed the central cube of the top surface obtaining an increase of the surface area with four units.

I removed one cube from the middle of an edge at the top (any of the four remaining) and I arrived at a figure with ten cubes less then the original one but with the same surface area.

(There's a lot more solutions here: https://nrich.maths.org/787/solution)
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When a number is decreased by 25%, the result is 22. What is the original number to the nearest tenth?
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The decrease is 25% so this means that 22 is 75% of the original number (100% - 25% = 75%)

Divide 22 by 75%:

22/ 0.75 = 29.3

The answer is 29.3

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otez555 [7]

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3 years ago
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Recall that Rn denotes the right-endpoint approximation using n rectangles, Ln denotes the left-endpoint approximation using n r
pogonyaev

Answer:

R_5=1.12

Step-by-step explanation:

We want to calculate the right-endpoint approximation (the right Riemann sum) for the function:

f(x)=x^2+x

On the interval [-1, 1] using five equal rectangles.

Find the width of each rectangle:

\displaystyle \Delta x=\frac{1-(-1)}{5}=\frac{2}{5}

List the <em>x-</em>coordinates starting with -1 and ending with 1 with increments of 2/5:

-1, -3/5, -1/5, 1/5, 3/5, 1.

Since we are find the right-hand approximation, we use the five coordinates on the right.

Evaluate the function for each value. This is shown in the table below.

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\displaystyle R_5=\frac{2}{5}\left(-0.24+-0.16+0.24+0.96+2)= 1.12

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2 years ago
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