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3 years ago

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Samuel bought a jacket for $15 in January. The cost of the jacket increased to $27 in September. What percent of the original pr

ice is the new price?
A. 110%
B. 120%
C. 150%
D. 180%

2 answers:

Tcecarenko [31]3 years ago

5 0

The correct answer is 180

Mumz [18]3 years ago

4 0

27/15 = 1.8

1.8 * 100% = 180% (D)

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Simplify the expression cos x cot x+ sin x please select the best answer from the choices provided a.0, b.csc x, c. Tan x, d sec

expeople1 [14]

Answer:

$cot x = \frac{cos x}{sin x}$

$cos x \frac{cos x}{sin x} + sin x$

$\frac{cos^2 x}{sin x} +sin x$

$sin^2 x + cos^2 x =1$

Solving for $cos^2 x$ we got $cos^2 x =1 -sin^2 x$ and replacing this we got:

$\frac{1-sin^2 x}{sin x} +sin x$

$\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x$

$csc x -sin x + sin x = csc x$

And then the best option for this case would be:

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Step-by-step explanation:

For this case we have the following expression given:

$cos x cot x + sin x$

We know from math properties that the definition for cot is $cot x = \frac{cos x}{sin x}$

If we use this definition we got:

$cos x \frac{cos x}{sin x} + sin x$

$\frac{cos^2 x}{sin x} +sin x$

Now we can use the following identity:

$sin^2 x + cos^2 x =1$

Solving for $cos^2 x$ we got $cos^2 x =1 -sin^2 x$ and replacing this we got:

$\frac{1-sin^2 x}{sin x} +sin x$

$\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x$

$csc x -sin x + sin x = csc x$

And then the best option for this case would be:

b.csc x

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4 years ago

Determine the time needed to deliver 72 papers at a rate of 9 papers in 18 minuets

monitta

Hey there,

Question : <span>Determine the time needed to deliver 72 papers at a rate of 9 papers in 18 minuets

Answer :
9 papers = 18 min
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= 2 min
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Hope this helps :))

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<span>How do we change fractions to percents? </span>
<span>The steps are too simple. </span>

<span>First, divide the numerator (the number at the top of the fraction) by the denominator (the number below the fraction). </span>
<span>In the case above, 7 is the numerator and 12 is the denominator. </span>

<span>So, 7 ÷ 12 = 0.58333 </span>

<span>Then, multiply the result by 100. 0.5833 x 100= 58.33 </span>

<span>Finally, add the percent (%) sign to the result. </span>

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