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Mars2501 [29]
3 years ago
12

An art supply store buys paintbrush sets for $2 and sells them at a markup of 240%. One day, they decide to put

Mathematics
2 answers:
adoni [48]3 years ago
4 0

Answer:

I think it would be 1.80

Step-by-step explanation:

use a calculator

Nadusha1986 [10]3 years ago
3 0

Answer:

0.68

Step-by-step explanation:

calculator

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3 years ago
Let a be the vector of length 125 that when drawn in standard position makes a 144° angle with the positive x-axis. Let b be the
umka2103 [35]

Answer:

The length is 90.033 and the angle that v makes with the positive x-axis is 153.339°

Step-by-step explanation:

Firstly we will have to convert our given vectors to their rectangular Cartesian vector form as follow,

a=125(icos(144)+jsin(144))=-101.127i+73.473j\\b=39(icos(302)+jsin(302))=20.667i-33.074j

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v=a+b\\v=-80.46i+40.399j

Now that we have the Cartesian vector form we can calculate its length and its direction with respect to the positive x-axis as follows(In fact we usually refer the angles from the positive x-axis),

|v|=\sqrt{80.46^{2}+40.399^{2}}=90.033\\ angle(v)=tan^{-1}(40.399/(-80.46))=153.339

So the length of the vector is 90.033 and the angle it makes with the positive x-axis is 153.339°.

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