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tia_tia [17]
3 years ago
11

A circle with radius of 5 sits inside a 11×11 rectangle. What is the area of the shaded region?

Mathematics
1 answer:
BigorU [14]3 years ago
6 0
If the shaded region is the area inside the rectangle but outside the square, then the area is 121-25pi or 42.4602
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Ryan spent 1/3 of his monthly salary for rent and 1/7 of his monthly salary for his utility bill. If $759 was left, what was his
musickatia [10]

Step-by-step explanation:

<h3><u>G</u><u>i</u><u>v</u><u>e</u><u>n</u><u> </u><u>Inform</u><u>ation</u><u> </u><u>:</u></h3>

  • Ryan spent 1/3 of his monthly salary for rent and 1/7 of his monthly salary for his utility bill.
  • Remaining money = $759

<h3><u>T</u><u>o</u><u> </u><u>calculate</u><u> </u><u>:</u></h3>

  • His monthly salary.

<h3><u>C</u><u>a</u><u>l</u><u>c</u><u>u</u><u>l</u><u>a</u><u>t</u><u>i</u><u>o</u><u>n</u><u> </u><u>:</u></h3>

Let us assume his monthly salary as x. According to the question,

➝ Money spent on rent + Money spent for utility bill + Remaining money = His salary

\longrightarrow\sf {\dfrac{1}{3}x + \dfrac{1}{7}x + 759 = x} \\

\longrightarrow\sf {\dfrac{7x + 3x + 15939}{21}= x} \\

\longrightarrow\sf {\dfrac{10x+ 15939}{21}= x} \\

\longrightarrow\sf {10x+ 15939= 21x} \\

\longrightarrow\sf {15939= 21x - 10x} \\

\longrightarrow\sf {15939= 11x} \\

\longrightarrow\sf {\cancel{\dfrac{15939}{11}}= x} \\

\longrightarrow\underline{\boxed{\bf {1449= x}}} \\

<u>Therefore,</u><u> </u><u>his</u><u> </u><u>monthly</u><u> </u><u>income</u><u> </u><u>is</u><u> </u><u>$</u><u>1</u><u>4</u><u>4</u><u>9</u><u>.</u>

7 0
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