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nekit [7.7K]
3 years ago
7

Find the circumference

Mathematics
1 answer:
Crazy boy [7]3 years ago
3 0
Find the circumference of what? the formula u use for circumfrence is 
c=2(pie)r
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Which is the least common multiple of 4 and 12
spayn [35]
The answer is 12. My explanations is that LCM is the smallest number that both numbers can fit into. 12 fits into 12 once, and 4 fits into 12 3 times, so 12 is the answer.
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Find the values of x and c.<br> NO LINKS.
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2 years ago
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Express the complex number in trigonometric form. -6 + 6 square root of 3 i ?
bagirrra123 [75]
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\bf r=\sqrt{(-6)^2+(6\sqrt{3})^2}\implies r=\sqrt{36+(6^2\cdot 3)}\implies r=\sqrt{144}&#10;\\\\\\&#10;r=12\leftarrow &#10;\\\\\\&#10;\theta =tan^{-1}\left( \frac{6\sqrt{3}}{-6} \right)\implies \theta =tan^{-1}\left( -\sqrt{3}\right)\implies \theta =&#10;\begin{cases}&#10;\frac{2\pi }{3}\leftarrow \\&#10;\frac{5\pi }{3}&#10;\end{cases}

now, notice, there are two valid angles for such a tangent, however, if we look at the complex pair, the "a" is negative and the "b" is positive, that means, "x" is negative and "y" is positive, and that only occurs in the 2nd quadrant, so the angle is in the second quadrant, not on the fourth quadrant.

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5 0
3 years ago
What is the perimeter of the triangle shown on the coordinate plane,to the nearest tenth of a unit ?
ollegr [7]

Answer:

25.6 units

Step-by-step explanation:

From the figure we can infer that our triangle has vertices A = (-5, 4), B = (1, 4), and C = (3, -4).

First thing we are doing is find the lengths of AB, BC, and AC using the distance formula:

d=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2}}

where

(x_1,y_1) are the coordinates of the first point

(x_2,y_2) are the coordinates of the second point

- For AB:

d=\sqrt{[1-(-5)]^{2}+(4-4)^2}

d=\sqrt{(1+5)^{2}+(0)^2}

d=\sqrt{(6)^{2}}

d=6

- For BC:

d=\sqrt{(3-1)^{2} +(-4-4)^{2}}

d=\sqrt{(2)^{2} +(-8)^{2}}

d=\sqrt{4+64}

d=\sqrt{68}

d=8.24

- For AC:

d=\sqrt{[3-(-5)]^{2} +(-4-4)^{2}}

d=\sqrt{(3+5)^{2} +(-8)^{2}}

d=\sqrt{(8)^{2} +64}

d=\sqrt{64+64}

d=\sqrt{128}

d=11.31

Next, now that we have our lengths, we can add them to find the perimeter of our triangle:

p=AB+BC+AC

p=6+8.24+11.31

p=25.55

p=25.6

We can conclude that the perimeter of the triangle shown in the figure is 25.6 units.

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3 years ago
Mr . Bernstein teaches 100studens. of his 100studwnts ,21wear glasses . what percent of me Bernstein 's students wear glasses​
atroni [7]

Answer:

21% of his students wear glasses

Step-by-step explanation:

The answer is 21% because 21/100 =21

Hope it helps.

7 0
3 years ago
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