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mamaluj [8]
3 years ago
6

Ben Brought a dozen doughnuts half of the doughnuts were glazed and weighed 10.2 ounces the other half were sprinkled and weight

ed 18.31 ounces what is the total weight of Bens doughnuts???
Mathematics
2 answers:
Svetach [21]3 years ago
7 0
28.51oz? This seems like a trick question
yKpoI14uk [10]3 years ago
6 0
171.06=(6*10.2)+(6*18.31)
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Diano4ka-milaya [45]

RO divides the rectangle into two congruent right triangles.

The area of the one triangle is equal half area of the rectangle.

Calculate the area of rectangle:

A_R=lw\\l=12,\ w=5\\\\A_R=12\cdot5=60

The area of right triangle:

A_T=\dfrac{1}{2}A_R\to A_T=\dfrac{1}{2}\cdot60=30

Use the Pythagorean theorem to calculate the length of RO:

|RO|^2=5^2+12^2\\\\|RO|^2=25+144\\\\|RO|^2=169\to|RO|=\sqrt{169}\to|RO|=13

The formula of an area of this right triangle is:

A_T=\dfrac{1}{2}|RO||PA|

Therefore we have the equation:

\dfrac{1}{2}(13)|PA|=30\qquad|\cdot2\\\\13|PA|=60\quad|:13\\\\|PA|=\dfrac{60}{13}\\\\|PA|\approx4.62

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3 years ago
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Let's begin by listing out the information given to us:

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