2 years ago

Question 4

Mathematics

1 answer:

ololo11 [35]2 years ago

5 0

Answer:

4570

Step-by-step explanation:

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Find the magnitude and direction (in degrees) of the vector. (Assume 0° ≤ < 360°.)

ddd [48]

$6i~~ + ~~2\sqrt{3}j\implies < \stackrel{a}{6}~~,~~\stackrel{b}{2\sqrt{3}} > \\\\[-0.35em] ~\dotfill\\\\ \stackrel{magnitude}{\sqrt{a^2+b^2}}\implies \sqrt{6^2+(2\sqrt{3})^2}\implies \sqrt{36+(2^2\cdot 3)}\implies \sqrt{36+12}\implies \sqrt{48} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{direction}{tan^{-1}\left( \cfrac{b}{a}\right)}\implies tan^{-1}\left( \cfrac{2\sqrt{3}}{6} \right)\implies tan^{-1}\left( \cfrac{\sqrt{3}}{3} \right) \\\\\\ tan^{-1}\left( \cfrac{1}{\sqrt{3}} \right)\implies 30^o$

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2 years ago

A teacher divided students into groups of 3. Each group of 3 wrote a report that had 9 pictures in it. The students used 585 pic

jeyben [28]

So this is what i did but im not sure if its 100% correct

585 / 9 to get the number of groups = 65

then you take 65 x 3 for number of students in each group and you get the final answer of 195 students

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3 years ago

Read 2 more answers

NO WRONG ANSWERS Two customers took out car loans from a bank. Marcus took out a 5-year loan for $10,000 and paid 4.7% annual si

Gennadij [26K]

Answer:

2164 dollars

Step-by-step explanation:

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3 years ago

An arithmetic sequence is given below.

Mashcka [7]

Given that $a_1=24$ and $a_2=17$ , if $a_n$ is an arithmetic sequence, then the common difference between successive terms is $d=a_2-a_1=17-24=-7$ .

You then have

$a_2=a_1+d$
$\implies a_3=a_2+d=a_1+2d$
$\implies a_4=a_3+d=a_1+3d$
$\implies \cdots\implies a_n=a_{n-1}+d=\cdots=a_1+(n-1)d$

So the explicit formula for the $n$ th term is

$a_n=24-7(n-1)$

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3 years ago

Kevin buys a bag of cookies that contains 8 chocolate chip cookies, 9 peanut butter cookies, 5 sugar cookies and 4 oatmeal cooki

IrinaVladis [17]

Answer:

4/13 or 30.769%

Step-by-step explanation:

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2 years ago