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1 year ago

So I need help pls! (3 1/2 + 17 1/5) - (11 3/5 + 2 1/3)

Mathematics

2 answers:

lidiya [134]1 year ago

7 0

Answer:

6 23/30 or $6 \frac{23}{30}$

Let me know if it's wrong and I'll fix it! ^^

kirza4 [7]1 year ago

6 0

Answer:

The answer rounded would be 6.7 but it not rounded would be 6.766

Step-by-step explanation:

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8 0

3 years ago

Find the length of the line PA.

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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