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EleoNora [17]
3 years ago
15

The figure consists of a quarter circle and a parallelogram. What is the area of the composite figure? Use 3.14 for pi. Round to

the nearest whole number. please answer as soon as poossible
70 in
84 in
154 in
224 in

Mathematics
2 answers:
Andru [333]3 years ago
7 0
The area of a full circle is given by
  A = π*r^2
so the area of a 1/4 circle will be 1/4 of that:
  A = (π/4)*r^2

The area of a parallelogram is the product of base length and height:
  A = bh

Your composite figure will have an area that is the sum of the areas of the parts.
  A = (quarter circle area) + (parallelogram area)
  A ≈ (3.14/4)*(14 in)^2 +(14 in)*(5 in)
  A ≈ 223.86 in^2 ≈ 224 in^2

The most appropriate selection is the last one,
  224 in^2
Andreyy893 years ago
6 0

Answer:

the answer is d

Step-by-step explanation:

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Which fraction out of 5/8 and 7/11 is closest to 2/3?
Triss [41]
Well... hell, let's just convert them all with the same denominator then

hmmm let's see, we have the denominators of 8,11 and 3

so... we'll multiply the 5/8 times (11*3) or 33
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and then we'll multiply 2/3 times (8 * 11)

notice, we're simply using the other's denominator's product, to multiply the fractions... anyhow... let's check

\bf \cfrac{5}{8}\cdot \cfrac{3\cdot 11}{3\cdot 11}\implies \cfrac{165}{264}
\\\\\\
\cfrac{7}{11}\cdot \cfrac{8\cdot 3}{8\cdot 3}\implies \cfrac{168}{264}
\\\\\\
\cfrac{2}{3}\cdot \cfrac{8\cdot 11}{8\cdot 11}\implies \cfrac{176}{264}\\\\
-------------------------------\\\\
\textit{now, which of }\cfrac{165}{264}\textit{ and }\cfrac{168}{264}\textit{ is closest to }\cfrac{176}{264}\quad ?
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