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san4es73 [151]
3 years ago
5

Rob is saving to buy a new iPad. For every $15 he earns babysitting, he saves $6. On Saturday, Rob earned $75 babysitting. How m

uch money did he save?
Mathematics
1 answer:
Anton [14]3 years ago
4 0
He saves $30 if He earns $75 on Saturday

He saves $6 for every $15
So $75 divided by $15= 5
So 5x$6= $30
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How many equilateral triangles with sides of 4 can fit into a larger triangle with sides of 2012
igomit [66]
The base measures 2012 if you divide that by four you get 503 trianles on the bottom and on the sides and each one gets one smaller until you get to one so 503+502+501,.... or 252+251(504) so the answer is 126,756 triangles in total because 1+503=504  2+502=504... when you get to 252 you just add that to itself so that is the odd one out
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3 years ago
Let alpha and beta be conjugate complex numbers such that frac{\alpha}{\beta^2} is a real number and alpha - \beta| = 2 \sqrt{3}
miskamm [114]

Answer:

-3+i\sqrt{3} , 1+\sqrt{3}

Step-by-step explanation:

Given that alpha and beta be conjugate complex numbers

such that frac{\alpha}{\beta^2} is a real number and alpha - \beta| = 2 \sqrt{3}.

Let

\alpha = x+iy\\\beta = x-iy

since they are conjugates

\alpha-\beta = x+iy-(x-iy)\\= 2iy= 2i\sqrt{3} \\y =\sqrt{3}

\frac{\alpha}{\beta^2} }\\=\frac{x+i\sqrt{3} }{(x-i\sqrt{3})^2} \\=\frac{x+i\sqrt{3}}{x^2-3-2i\sqrt{3}} \\=\frac{x+i\sqrt{3}((x^2-3+2i\sqrt{3}) }{(x^2-3-2i\sqrt{3)}(x^2-3-2i\sqrt{3})}

Imaginary part of the above =0

i.e. \sqrt{3} (x^2-3)+2x\sqrt{3} =0\\x^2+2x-3=0\\(x+3)(x-1) =0\\x=-3,1

So the value of alpha = -3+i\sqrt{3} , 1+\sqrt{3}

3 0
3 years ago
Segments 2) Use the following picture
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Answer:

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3 years ago
How can i get the answer
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6 0
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