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2 years ago

Please Help with this Problem!

Mathematics

1 answer:

tatiyna2 years ago

6 0

Answer: 3.5, 4.5, 9.5, 3.5

Step-by-step explanation:

Look at the image below to see where A, B, C, and D are.

A + B = 8

B + D = 8

A + C = 13

C - D = 6

we can see that A + B = 8 and D + B = 8, so A = D

substitute this into A + C = 13 to get D + C = 13

from D + C = 13 we can get D = 13 - C

plug this into C - D = 6 to get C - (13 - C) = 6

2C - 13 = 6

2C = 19

C = 9.5

Now we can find D = 13 - C = 13 - 9.5 = 3.5

D = 3.5

Now we can find A = D = 3.5

A = 3.5

Now we can find B from A + B = 8

B = 8 - A = 8 - 4.5 = 4.5

B = 4.5

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A negative exponent means the number of the exponent divide by the number. The the radius of beryllium atom is larger than the radius of a nitrogen atom by two times.

Given information-

The radius of a nitrogen atom is $5.6\times10^{-11}$ meters.

The radius of a beryllium atom is $1.12 \times10^{-10}$ meters

<h3>Negative exponents</h3>

A negative exponent means the number of the exponent divide by the number.

As the radius of the nitrogen atom is $5.6\times10^{-11}$ meters. Convert it in the power of negative exponent of 10.

Let the radius of the nitrogen is $r$ mm. Thus,

$r=5.6\times 10^{-11}\\
r=5.6\times 10^{-10-1}\\
r=5.6\times 10^{-10}\times10^{-1}\\
r=\dfrac{5.6\times 10^{-10}}{10} \\
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Now the base of the exponents of both the atoms are same. As the radius of the nitrogen atom is $0.56\times 10^{-10}$ meters and the radius of the beryllium atom is $1.12 \times10^{-10}$ . Thus the radius of beryllium atom is larger.