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4 years ago

Find all solutions in the interval [0, 2π) for 2 sin^2 x = sin x

Mathematics

1 answer:

Ede4ka [16]4 years ago

4 0

Answer:

Step-by-step explanation:

2 sin²x=sin x

2 sin² x-sin x=0

sin x(2 sin x-1)=0

sin x=0

x=0,π

2 sin x-1=0

2 sin x=1

sin x=1/2= sin π/6,sin (π-π/6)

x=π/6,5π/6

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An automobile manufacturer is preparing a shipment of cars and trucks on a cargo ship that can carry 21600 tons.

LenaWriter [7]

Answer:

5,040 cars

Step-by-step explanation:

Each truck weighs 7.2 tons, and there are already 480 trucks loaded. This means that the cargo ship is currently carrying 3,456 tons.:

480 x 7.2 = 3,456

The limit is 21,600 tons, so 21,600 - 3,456 = 18,144.

Divide the remaining capacity by how much a car weighs:

18,144 / 3.6 = 5,040

6 0

3 years ago

Read 2 more answers

Rectangle ABCD is translated and then reflected to create rectangle A'B'C'D'. Do rectangle ABCD and rectangle A'B'C'D' have the

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Answer:

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3 years ago

Calculate the total surface area

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3 years ago

Cynthia had a credit card with a 17% APR and a $3,265 balance. She had budgeted to have the credit card paid off in 24 months. B

monitta

Answer:

Cynthia will have to pay $152.16 extra in finance charges.

Step-by-step explanation:

Cynthia had a credit card with a 17% APR and a $3,265 balance.

Cynthia’s credit card company has increased her interest rate to 21%.

Here we have two scenarios, 1st when p = 3265 r = 17% and n = 24

Second when p = p = 3265 r = 21% and n = 24

Scenario 1:

$r =17/12/100=0.014166$

EMI formula is :

$\frac{p\times r\times(1+r)^{n}}{(1+r)^{n}-1}$

Putting the values in formula we get;

$\frac{3265\times0.014166\times(1+0.014166)^{24}}{(1+0.014166)^{24}-1}$

= $\frac{3265\times0.014166\times(1.014166)^{24}}{(1.014166)^{24}-1}$

EMI = $161.43

Scenario 2:

r = $21/12/100=0.0175$

Putting the values in formula we get;

$\frac{3265\times0.0175\times(1+0.0175)^{24}}{(1+0.0175)^{24}-1}$

= $\frac{3265\times0.0175\times(1.0175)^{24}}{(1.0175)^{24}-1}$

EMI = $167.77

Now, difference in EMI's = $167.77-161.43=6.34$ dollars

And for 24 months this amount becomes = $24\times6.34=152.16$ dollars

Therefore, Cynthia will have to pay $152.16 extra in finance charges.

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3 years ago

A police helicopter flying at a height of 85 feet shines a light on a speeding vehicle below. If the angle of depression is 62 d

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4 years ago