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qwelly [4]
3 years ago
12

the head of a nail is circular , as shown the head of this nail has a diameter of 6 millimeters what measurment is closet to the

area
Mathematics
1 answer:
Nikitich [7]3 years ago
5 0

Answer:

Area of nail's head  = 28.26 millimeter² (Approx.)

Step-by-step explanation:

Given:

Head of nail is circular

Diameter of nail's head = 6 millimeter

Find:

Area of nail's head

Computation:

Radius of nail's head = Diameter / 2

Radius of nail's head = 6 / 2

Radius of nail's head = 3 millimeter

Area of circle = πr²

Area of nail's head  = πr²

Area of nail's head  = (22/7)(3)²

Area of nail's head  = (22/7)(9)

Area of nail's head  = (3.14)(9)

Area of nail's head  = 28.26 millimeter² (Approx.)

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Is it A) , B) , C), D) , E)
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Answer:

Part A) The statement is True

Part B) The statement is False

Part C) The statement is True

Part D) The statement is True

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Step-by-step explanation:

Part A) we have

1.66..=1 \frac{6}{9}

The statement Is True

Convert the repeating decimal 1.66.. to an equivalent fraction

Let

x=1.66..\\ 10x=16.66..\\ 10x-x=16.66..-1.66..\\ 9x=15\\ x=15/9

Convert to mixed number

15/9=9/9+6/9=1 \frac{6}{9}

therefore

1.66..=1 \frac{6}{9}

Part B) we have

0.6 < 6\%

The statement is false

Because

6\%=6/100=0.06

so

substitute

0.6 < 0.06 -----> is not true

Part C) we have

45\% \leq4.5

The statement is True

Because

45\%=45/100=0.45

substitute

0.45 \leq4.5 ----> is true

Part D) we have

5^{2} \geq 16

The statement is True

Because

5^{2}=25

substitute

25 \geq 16 ----> is true

Part E) we have

9.25 > 9\frac{3}{4}

The statement is false

Because

Convert mixed number to an improper fraction

9\frac{3}{4}=\frac{9*4+3}{4}=\frac{39}{4}

Convert decimal number to an improper fraction

9.25=9\frac{1}{4}=\frac{9*4+1}{4}=\frac{37}{4}

substitute

\frac{37}{4} > \frac{39}{4} -----> is not true

8 0
3 years ago
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