Can someone please help me and explain? please
1 answer:
Composite figure is made up of 4 triangles and a square.
Area of Square = Length x Length
Area of Square = 12 x 12
Area of Square= 144 cm²
Area of triangle = 1/2 x base x height
Area of triangle = 1/2 x 12 x 8
Area of triangle = 48 cm²
Area of 4 Triangles = 48 x 4
Area of 4 Triangles = 192 cm²
Total Area = 144 + 192 = 336 cm²
Area of Square = Length x Length
Area of Square = 12 x 12
Area of Square= 144 cm²
Area of triangle = 1/2 x base x height
Area of triangle = 1/2 x 12 x 8
Area of triangle = 48 cm²
Area of 4 Triangles = 48 x 4
Area of 4 Triangles = 192 cm²
Total Area = 144 + 192 = 336 cm²
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Answer:
<em>1364</em> is the number of possibilities for positive integers less than 1,00,000.
Step-by-step explanation:
<em>1. 5 digit numbers:</em>
We have 5 places here, and each place can have 4 options because repetition is allowed.
So, total number of possibilities for 5 digit numbers:
<em>2. 4 digit numbers:</em>
We have 4 places here, and each place can have 4 options because repetition is allowed.
So, total number of possibilities for 4 digit numbers:
<em>3. 3 digit numbers:</em>
We have 3 places here, and each place can have 4 options because repetition is allowed.
So, total number of possibilities for 3 digit numbers:
<em>4. 2 digit numbers:</em>
We have <em>2</em> places here, and each place can have 4 options because repetition is allowed.
So, total number of possibilities for 2 digit numbers:
<em>5. 1 digit numbers:</em>
We have 1 place here, and each place can have 4 options because repetition is allowed.
So, total number of possibilities for 1 digit numbers:
We can add all the above possibilities to find the total.
So, number of positive integers less than 100,000 whose digits are among 1, 2, 3, and 4 = 1024 + 256 + 64 + 16 + 4 = <em>1364</em>
