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2 years ago

Answer 16 and 17 with work

Mathematics

1 answer:

Anvisha [2.4K]2 years ago

8 0

16a.) π $\frac{8}{15}$

16b.) $\frac{7}{15}$ = 7 ÷ 15

Put (7 ÷ 15) in your calculater to get 0.4666667

That multiplied by 100 and rounded to the nearest whole percent is

47%

17a.) 24 + 16 + 14 = 54

$\frac{16}{54} = \frac{8}{27}$

17b.) 8 ÷ 27 = 0.296

0.296 × 100 = 29.6

Rounded to the nearest whole number is 27%

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$\text { Saclar projection } \frac{1}{\sqrt{3}} \text { and Vector projection } \frac{1}{3}(\hat{i}+\hat{j}+\hat{k})$

We have been given two vectors $\vec{a}$ and $\vec{b}$ , we are to find out the scalar and vector projection of $\vec{b}$ onto $\vec{a}$

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$\begin{aligned}&=\frac{(\hat{i}+\hat{j}+\hat{k}) \cdot(\hat{i}-\hat{j}+\hat{k})}{\sqrt{1^2+1^1+1^2}} \\&=\frac{1^2-1^2+1^2}{\sqrt{3}}=\frac{1}{\sqrt{3}}\end{aligned}$

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$\begin{aligned}&=\frac{(\hat{i}+\hat{j}+\hat{k}) \cdot(\hat{i}-\hat{j}+\hat{k})}{\left(\sqrt{1^2+1^1+1^2}\right)^2} \cdot(\hat{i}+\hat{j}+\hat{k}) \\&=\frac{1^2-1^2+1^2}{3} \cdot(\hat{i}+\hat{j}+\hat{k})=\frac{1}{3}(\hat{i}+\hat{j}+\hat{k})\end{aligned}$

To learn more about scalar and vector projection visit:brainly.com/question/21925479

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Answer:

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Hello there!

Least to greatest of these problem

For the fractions you can simplify it make it easier for you to solve these types of problems

Anyhow!

Let's find our answer, shall we?

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