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2 years ago

A circular piece of wood with a diameter of 5 ft is shown below. A 2 ft square is

Mathematics

1 answer:

Pani-rosa [81]2 years ago

4 0

Answer:

16 ft²

Step-by-step explanation:

Since we're told that 2 ft diameter was cut of the board. We use the formula for hollow circle to find the area.

Area of remaining body = area of full body - area of removed body.

Area = πd²/4

Area of remaining body = (π * 5²)/4 - (π * 2²)/4

Area of remaining body = 19.64 - 3.142

Area of remaining body = 16.49 ft²

Therefore, the remaining area is then calculated into 16 ft²

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3 years ago

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Answer:

Therefore

$75\div 5 - [(9-7)\times 3 ]\times 2 = 3$

Step-by-step explanation:

To Find:

Value of expression

75 ÷ 5 - [( 9 - 7 ) × 3 ] × 2

Solution:

PEDMAS rule

It explains the order of operations to solve an expression.

According to Pedmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.),

then division, multiplication, addition and subtraction from left to right.

P - parenthesis

E- exponent

D/M - Div or Multiply which ever comes first

A/S - Add or Sub which ever comes first.

So first we will solve the Parenthesis we get

Step 1. Parenthesis operation

75 ÷ 5 - [( 2 ) × 3 ] × 2

Step 2. Parenthesis operation

$75\div 5 - [(2)\times 3 ]\times 2$

Step 3. Division

$15 - [6]\times 2$

Step 4. Multiplication

$15 - 12$

Step 5. Subtraction

Therefore

$75\div 5 - [(9-7)\times 3 ]\times 2 = 3$

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