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kolezko [41]
3 years ago
9

I’m having a lot of trouble, can someone guide me, step by step?

Mathematics
1 answer:
shutvik [7]3 years ago
6 0

Answer:

Hi hopefully this helps you!

Step-by-step explanation:

To find the area of a circle you can use the formula A = πr^2

The radius of a circle is just the diameter divided by 2. In this case we know the diameter is 3, so the radius is 1.5

A = π(1.5)^2

   = 7.07

Because this is a semicircle, divide this area by 2

   = 3.53429 in^2

Add up the area of this semi circle with the area of the rectangle

A = (3.53429) + (3x4)

   = 15.53429 in^2

To find the circumference/ perimeter of a circle use this formula C = 2πR

C = 2π(1.5)

   = 9.42478 inches

Again because this is a semicircle, divide by 2

   = 9.42478 / 2

   = 4.71239 inches

To find the perimeter of this entire shape add up the circumference of the semicircle and the rectangle's sides and bottom

P = 4.71239 + 4 + 4 + 3

  = 15.71239 inches

So the final answer would be

A = 15.53 squared inches

P = 15.71 inches

Hope this helps! Best of luck in your studies <3

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Step-by-step explanation:

The attachment completes the question

From the attachment,

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The true statements about x are:

x ∈ B ∪ C

x ∈ B ∩ C

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<h3>Further explanation</h3>

A set is a clearly defined collection of objects.

To declare a set can be done in various ways such as:

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  • With set notation
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<u>Example: </u>

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Intersection of set A and B ( A ∩ B ) is to find the members that are both in Set A and Set B.

<u>Example: </u>

<em>A = {1, 2, 3, 4} </em>

<em>B = {3, 4, 5} </em>

A ∪ B = {1, 2, 3, 4, 5}

A ∩ B = {3, 4}

Let us now tackle the problem!

To solve this problem, it is better to draw the Venn diagram as shown in the picture in the attachment.

Let :

A = { p , q , s , t }

B = { q , r , t , x }

C = { s , t , v , x }

\texttt{ }

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B \cap C = \{ t  , \boxed{x} \} ✔

A \cup C = \{ p , q , s , t , v , \boxed{x} \} ✔

A \cap C = \{ s , t \} ⤬

A = \{ p , q , s , t \} ⤬

\texttt{ }

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\texttt{ }

<h3>Learn more</h3>
  • Mean , Median and Mode : brainly.com/question/2689808
  • Centers and Variability : brainly.com/question/3792854
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<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Sets

Keywords: Sets , Venn , Diagram , Intersection , Union , Mean , Median , Mode

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