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3 years ago

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Mathematics

1 answer:

Tanya [424]3 years ago

7 0

Answer:

B, C, D, E

Step-by-step explanation:

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each section in a stadium has 2460 seats. if there are 12 rows in each section, how many seats are in each row?

WINSTONCH [101]

Answer:

your answer is 117

Step-by-step explanation:

2460÷12=117

i hope this helps

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3 years ago

Let f(x)=7x+5 and g(x)=x-1. If h(x)=f(g(x)), then what is the inverse of h(x)

lina2011 [118]

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Here is a list of fractions 18/45 14/30 10/25 8/20 16/40 one of these fractions are not equivalent to 2/5 write down this fracti

vampirchik [111]

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3 years ago

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Harvie buys one notebook for $1. 59 and pens for $0. 29 each. He spends a total of $5.07 Assume there is

Andre45 [30]

Answer:

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Step-by-step explanation:

5 0

3 years ago

Convert the following sum into a product. cosx + cos3x + cos5x + cos7x

kvv77 [185]

Answer:

$4\cos x\cos (4x)\cos (2x)$

Step-by-step explanation:

Given: $cosx + cos3x + cos5x + cos7x$

To convert: the given sum into product

Solution:

Use formula: $\cos A+\cos B=2\cos \left ( \frac{A+B}{2} \right )\cos \left ( \frac{A-B}{2} \right )$

$cosx + cos3x + cos5x + cos7x=2\cos \left ( \frac{x+3x}{2} \right )\cos \left ( \frac{x-3x}{2} \right )+2\cos \left ( \frac{5x+7x}{2} \right )\cos \left ( \frac{5x-7x}{2} \right )\\=2\cos (2x)\cos (-x)+2\cos (6x)\cos (-x)\\=2\cos (2x)\cos (x)+2\cos (6x)\cos (x)\\=2\cos x\left [ \cos (2x)+\cos (6x) \right ]$

$cosx + cos3x + cos5x + cos7x=2\cos \left ( \frac{x+3x}{2} \right )\cos \left ( \frac{x-3x}{2} \right )+2\cos \left ( \frac{5x+7x}{2} \right )\cos \left ( \frac{5x-7x}{2} \right )\\=2\cos x\left [ \cos (2x)+\cos (6x) \right ]\\=2\cos x\left [2 \cos \left ( \frac{2x+6x}{2} \right )\cos \left ( \frac{2x-6x}{2} \right ) \right ]\\=2\cos x\left [ 2\cos (4x) \cos (-2x) \right ]\\=4\cos x\cos (4x)\cos (2x)$

4 0

3 years ago