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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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Step-by-step explanation:

m=7

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35. the set, s consists of 900,000,000 whole numbers, each being the same number of digits long. howmany digits long is a number
weeeeeb [17]

Answer:

  • 9 digit long

Let the number of digits be n and the number of elements in set be s.

<h3>When n = 1</h3>
  • The set contains 1-digit numbers, 1 through 9,
  • The set consists of 10 - 1 = 9 numbers.

<h3>When n = 2</h3>
  • The set contains 2-digit numbers, 10 through 99,
  • The set contains 100 - 10 = 90 numbers.

<h3>When n = 3</h3>
  • The set contains 3-digit numbers, 100 through 999,
  • The set contains 1000 - 100 = 900 numbers.

The pattern we see helps us determine the relationship between s and n as follows.

When set contains n-digit numbers, the set contains:

  • s = 10ⁿ - 10ⁿ⁻¹ = 10ⁿ⁻¹(10 - 1) = 9*10ⁿ⁻¹ elements

We have s known, substitute it into equation above and solve for n:

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  • 100000000 = 10ⁿ⁻¹
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The numbers in the set s are 9-digit long.

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