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3 years ago

A pack of pencils cost $8, but the price went up to $12. What is the percent of increase?

Mathematics

1 answer:

sp2606 [1]3 years ago

6 0

Answer:

A pack of pencil' price=$8

Price went up=$12

increasing percentage = change/original x100

= (12 -8)/8 x100

=4/8 x100

=50%

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ss7ja [257]

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Which exponential function is represented by the values in the table?

svlad2 [7]

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Juliette [100K]

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Step-by-step explanation:

-3 - 3 = -6

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3 years ago

2 cos x +3 sin 2x = 0<br> answer in degrees

enot [183]

Answer:

If want just the approximated solutions in the interval from 0 to 360:

199.47

340.53

270

If you want all the approximated solutions:

199.47+360k

340.53+360k

90+360k

270+360k

Step-by-step explanation:

2 cos(x)+3 sin(2x)=0

First step: Use double angle identity for sin(2x). That is, use, sin(2x)=2sin(x)cos(x).

2 cos(x)+3*2sin(x)cos(x)=0

2 cos(x)+ 6sin(x)cos(x)=0

Factor the 2cos(x) out, like so:

2cos(x)[ 1 + 3 sin(x)]=0

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2cos(x)=0

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1+3sin(x)=0

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3sin(x)=-1

Divide both sides by 3:

sin(x)=-1/3

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x=arcsin(-1/3)=-19.47 degrees

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