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2 years ago

An article which cost money 150 was sold at a loss of 5%.what was the selling price?

Mathematics

1 answer:

Hunter-Best [27]2 years ago

3 0

Answer:

142.5

Step-by-step explanation:

150/x=100/95

95*150/100=

142.5

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Rewrite 9cos 4x in terms of cos x.

rosijanka [135]

$\bf \qquad \textit{Quad identities}\\\\
sin(4\theta )=
\begin{cases}
8sin(\theta )cos^3(\theta )-4sin(\theta )cos(\theta )\\
4sin(\theta )cos(\theta )-8sin^3(\theta )cos(\theta )
\end{cases}
\\\\\\
cos(4\theta)=8cos^4(\theta )-8cos^2(\theta )+1\\\\
-------------------------------\\\\
9cos(4x)\implies 9[8cos^4(x)-8cos^2(x)+1]
\\\\\\
72cos^4(x)-72cos^2(x)+9$

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as far as the previous one on the 2tan(3x)

$\bf tan(2\theta)=\cfrac{2tan(\theta)}{1-tan^2(\theta)}\qquad tan({{ \alpha}} + {{ \beta}}) = \cfrac{tan({{ \alpha}})+ tan({{ \beta}})}{1- tan({{ \alpha}})tan({{ \beta}})}\\\\
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$\bf 2tan(3x)\implies 2tan(2x+x)\implies 2\left[ \cfrac{tan(2x)+tan(x)}{1-tan(2x)tan(x)}\right]
\\\\\\
2\left[ \cfrac{\frac{2tan(x)}{1-tan^2(x)}+tan(x)}{1-\frac{2tan(x)}{1-tan^2(x)}tan(x)}\right]\implies 2\left[ \cfrac{\frac{2tan(x)+tan(x)-tan^3(x)}{1-tan^2(x)}}{\frac{1-tan(x)-2tan^3(x)}{1-tan^2(x)}} \right]
\\\\\\$

$\bf 2\left[ \cfrac{2tan(x)+tan(x)-tan^3(x)}{1-tan^2(x)}\cdot \cfrac{1-tan^2(x)}{1-tan(x)-2tan^3(x)} \right]
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2\left[ \cfrac{3tan(x)-tan^3(x)}{1-tan^2(x)-2tan^3(x)} \right]\implies \cfrac{6tan(x)-2tan^3(x)}{1-tan^2(x)-2tan^3(x)}$

4 0

2 years ago

Complete the pattern 5, 9, 17, 33, ____, 129

k0ka [10]

The answer should be 65. The number be added is doubled. +4,+8, +16, +32 So 32+33=65 65+64=129

7 0

2 years ago

on Monday it rained 1 3/4 of an inch and on Tuesday it rained 2 2/3 of an inch. how many inches did it rain altogether?

iogann1982 [59]

Answer:

4 5/12

Step-by-step explanation:

Convert to mixed fraction 7/4 + 8/3

Find common denominator, 12

21/12 + 32/12

add numerators (21+32)/12 = 53/12

reduce fraction 4 5/12

8 0

2 years ago

Evaluate 4c + 8 when c = 2

Wittaler [7]

Answer:

Step-by-step explanation:

4c + 8

Replace 'c' with 2 and evaluate:

4(2) + 8

8 + 8

Hope this helps.

8 0

2 years ago

Read 2 more answers

PLEASE HELP TIMED

kogti [31]

Jjbivhvu this need a bit more

5 0

2 years ago