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vlabodo [156]
3 years ago
8

What is the approximate area of the shaded region in the figure below?

Mathematics
1 answer:
sveticcg [70]3 years ago
3 0

Answer:

  (a)  10.0 m²

Step-by-step explanation:

The radius of the inner circle is (2 m -1.1 m) = 0.9 m. The area of each circle is given by the formula ...

  A = πr²

so, the difference in areas is ...

  shaded = π(2 m)² -π(0.9 m)² = π(4 -0.81) m²

  shaded area ≈ 10.0 m²

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The table shows a student's proof of the quotient rule for logarithms.
nikklg [1K]

Answer:

The error is at step (3) .

The correct step (3) will be,

\log_{b}(\frac {b^{x}}{b^{y}})

= \log_{b}(b^{x - y})   [by using the laws of indices]

All other steps are correct.

Step-by-step explanation:

The error is at the step (3) , because the student has tried to prove the quotient rule of logarithms by using the property i.e., 'The quotient rule of logarithm' itself , i.e. ,by  assuming the property does hold before proving it. So, the proof is fallacious.

The correct step (3) will be,

\log_{b}(\frac {b^{x}}{b^{y}})

= \log_{b}(b^{x - y})   [by using the laws of indices]

All other steps are correct.

5 0
3 years ago
Find the distance between each pair of points E(-1, 0),F(12, 0)
Olegator [25]

Answer:

The answer is

<h2>13 \:  \: units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

<h3>d =  \sqrt{ ({x1 - x2})^{2}  +  ({y1 - y2})^{2} }  \\ </h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

E(-1, 0) and F(12, 0)

The distance between them is

<h3>|EF|  =  \sqrt{ ({ - 1 - 12})^{2}  +  ({0 - 0})^{2} }  \\  =  \sqrt{ ({ - 13})^{2} }  \\  =  \sqrt{169}</h3>

We have the final answer as

<h3>|EF| = 13 \:  \: units</h3>

Hope this helps you

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Convert 12 cups to quarts
eduard

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3 quarts

Step-by-step explanation:

divide the volume value by 4

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3 years ago
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