The triangle shown in the graph is transformed by matrix R. Plot the resulting triangle.

Mathematics

1 answer:

DerKrebs [107]3 years ago

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Answer:

I cant Im sorry

Step-by-step explanation:

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If m<6=123.5 degrees, Then m<1 is A.)56.5 B.)67.5 C.)123.5 D.)136.5

DerKrebs [107]

The answer to this question is A - 56.5.
Angles 6 and 1 are both on a 180 degree line. When we subtract the measurement of 6 from 180 degrees, we can get the measurement for angle 1.

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78 is the answer
If you substract 914-836 that equals 78
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Estimate the integral ∫6,0 x^2dx by the midpoint estimate, n = 6

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Splitting up the interval [0, 6] into 6 subintervals means we have

$[0,1]\cup[1,2]\cup[2,3]\cup\cdots\cup[5,6]$

and the respective midpoints are $\dfrac12,\dfrac32,\dfrac52,\ldots,\dfrac{11}2$ . We can write these sequentially as ${x_i}^*=\dfrac{2i+1}2$ where $0\le i\le5$ .

So the integral is approximately

$\displaystyle\int_0^6x^2\,\mathrm dx\approx\sum_{i=0}^5({x_i}^*)^2\Delta x_i=\frac{6-0}6\sum_{i=0}^5({x_i}^*)^2=\sum_{i=0}^5\left(\frac{2i+1}2\right)^2$

Recall that

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$
$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$
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so our sum becomes

$\displaystyle\sum_{i=0}^5\left(\frac{2i+1}2\right)^2=\sum_{i=0}^5\left(i^2+i+\frac14\right)$
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It would be 39,858,075 by 2100. The population goes up by x3 every 10 years.

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