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3 years ago

A waitress earned $73 for 6 hours of work. $46 of the total money she earned was made from tips.what was her hourly wage

1 answer:

5 0

First, you know that she earned a total of 73 dollars for 6 hours of work and how 46 dollars was from tips. So what you do first is to subtract 46 from 73 leaving you 27. Since she worked 6 hours, you would have to divide that with 27. 27 divided by 6 is 4.5 The waitress earns $4.50 for her hourly wage.

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3 years ago

compute the projection of → a onto → b and the vector component of → a orthogonal to → b . give exact answers.

Nina [5.8K]

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

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 $\vec{a}$

we have $\vec{a}=\hat{i}+\hat{j}+\hat{k}$ and $\vec{b}=\hat{i}-\hat{j}+\hat{k}$

The scalar projection of $\vec{b}$ onto $\vec{a}$ means the magnitude of the resolved component of $\vec{b}$ the direction of $\vec{a}$ and is given by

The scalar projection of $\vec{b}$ onto

$\vec{a}=\frac{\vec{b} \cdot \vec{a}}{|\vec{a}|}$

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

The Vector projection of $\vec{b}$ onto $\vec{a}$ means the resolved component of $\vec{b}$ in the direction of $\vec{a}$ and is given by

The vector projection of $\vec{b}$ onto

$\vec{a}=\frac{\vec{b} \cdot \vec{a}}{|\vec{a}|^2} \cdot(\hat{i}+\hat{j}+\hat{k})$

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

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

#SPJ4

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1 year ago

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IrinaK [193]

I have a great list that might help you learn some octagon facts!

1. Umbrellas are in the shape of an octagon.
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5 0

3 years ago

Read 2 more answers

Consider this equation: –3x – 5 2x = 6which is an equivalent equation after combining like terms?

Alla [95]

-3x-5+2x=6
2x-3x-5=6
-1x-5=6
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-x=11
x=11
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7 0

4 years ago

Jerry is getting ballons for his fathers bday party if he wants each ballon string to be 9 feet long if it is sold by the yard a

Zepler [3.9K]

Answer:

567

Step-by-step explanation:

63 x 9

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3 years ago