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Mathematics

1 answer:

worty [1.4K]3 years ago

6 0

Step-by-step explanation:

${x}^{2} = 2 \times {4}^{2} \\ {x}^{2} = 32 \\ x = 4 \sqrt{2} \\ diameter = 4 \sqrt{2} \\ radius = 2 \sqrt{2} \\ area \: of \: half \: of \: the \: circle = \\$

$a = \frac{\pi \times {(2 \sqrt{2} )}^{2} }{2} = 4\pi \\ area \: of \: triangle \: = \\ 2 \sqrt{2} \times 2 \sqrt{2} = 8 \\ area \: of \: shaded \: region \: is \: = \\ 4\pi - 8 = 4.57 \: {cm}^{2}$

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Alaina evaluated 1718+120 and got an answer of 1838. Which statement is true about her answer?

Setler79 [48]

Answer:

Her answer is not correct because the sum cannot be less than either addend.

The correct answer is $\frac{179}{180}$

Step-by-step explanation:

Given:

The expression to add is given as:

$\frac{17}{18}+\frac{1}{20}$

Alaina got the answer as $\frac{18}{38}$

Let us first try to add the fractions and arrive at the answer.

Taking LCD of 18 and 20, we get LCD = 180

Now, making denominators of each fraction equal to 180 and changing the numerators accordingly.

$=\frac{17\times 10}{18\times 10}+\frac{1\times 9}{20\times 9}\\=\frac{170}{180}+\frac{9}{180}\\=\frac{170+9}{180}=\frac{179}{180}$

Therefore, the result of Alaina is not correct because she got an answer which is less than the fraction $\frac{17}{18}$ . But when we add two fractions, the result must be greater than either of the addend.