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Katen [24]
1 year ago
15

The side length of each square is 6 units. Find the areas of the inscribed shapes.

Mathematics
1 answer:
kirill [66]1 year ago
4 0

By using subtraction of <em>yellow</em> areas from the <em>entire</em> squares, the areas of the <em>inscribed</em> shapes are listed below:

  1. 18 units
  2. 20 units
  3. 12 units
  4. 12 units

<h3>How to calculate the areas of the inscribed shapes</h3>

The areas of the <em>inscribed</em> shapes can be easily found by subtracting the <em>yellow</em> areas from the square, in order to find the value of <em>green</em> areas. Now we proceed to find the result for each case by using <em>area</em> formulae for triangles:

Case A

A = 6² - 0.5 · (3) · (6) - 0.5 · (3) · (6)

A = 36 - 18

A = 18 units

Case B

A = 6² - 4 · 0.5 · (2) · (4)

A = 36 - 16

A = 20 units

Case C

A = 6² - 0.5 · 6² - 0.5 · 6 · 2

A = 36 - 18 - 6

A = 12 units

Case D

A = 6² - 2 · 0.5 · 6 · 4

A = 36 - 24

A = 12 units

To learn more on inscribed areas: brainly.com/question/22964077

#SPJ1

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Factor completely 5b^2-11b+6
vekshin1

Answer:

(b - 1) (5b - 6)

Step-by-step explanation:

3 0
3 years ago
mr. larsen's third grade class has 22 students, 12 girls and 10 boys. two students must be selected at random to be in the fall
faust18 [17]

The probability that no boys will be chosen is 0.2857

What is probability?

The area of arithmetic called likelihood deals with numerical representations of the chance that an incident can occur or that a press release is true.

Main Body:

Total students =22

total boys = 10

total girls =12

Now we have to chose 2 girls from 12 , so combination is used to select ,

⇒¹²C₂

Also, We have to chose 2 girls from 22 students

so it can be represented as ,

⇒²²C₂

Probability of choosing 2 girls = ¹²C₂/²²C₂

On solving this we will get = 0.2857

Hence the probability is 0.2857

To know more about probability , visit;

brainly.com/question/13604758

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5 0
11 months ago
What is 21/49 in simplist from
ad-work [718]
If you divide 21/49 by 7 you get 3/7
8 0
3 years ago
Work out the length of the following rectangles
tiny-mole [99]

(a) a = 10.9 cm

(b) b = 20.78 cm

(c) c = 4.06 cm

<u>Explanation:</u>

(a)

height, h = 5cm

Hypotenuse, H = 12cm

Base, a = ?

Using pythagoras theorm:

(H)² = (h)² + (a)²

(12)² = (5)² + (a)²

119 = a²

a = 10.9 cm

(b)

Hypotenuse, H = 24 cm

Base, a = 12 cm

Height, b = ?

Using pythagoras theorm:

(H)² = (b)² + (a)²

(24)² = (b)² + (12)²

432 = b²

b = 20.78 cm

(c)

height, h = 4 cm

Hypotenuse, H = 5.7 cm

Base, c = ?

Using pythagoras theorm:

(H)² = (h)² + (c)²

(5.7)² = (4)² + (c)²

16.49 = c²

c = 4.06 cm

8 0
3 years ago
Which rational number is positive
victus00 [196]

Answer: d

\

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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