Express the sum or difference as a product: cos 4x - cos 6x

Mathematics

1 answer:

Jobisdone [24]2 years ago

3 0

Cos -2x or -cos2x, it's the difference.

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PLZ HELP ASAP THANKS IN ADVANCED!! :)

umka2103 [35]

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2 years ago

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A craftsman is making a dulcimer with the same dimensions as the one shown. The surface shown requires a special, more durable t

Bogdan [553]

Answer:

$\displaystyle A=\frac{3h^2}{2}+h$

Step-by-step explanation:

Area of trapezoid

Given a trapezoid shape whose parallel sides measure b1 and b2 and whose height (perpendicular to the base) is h, then the area of the trapezoid is given by

$\displaystyle A=\frac{b_1+b_2}{2}\cdot h$

The dulcimer has the following dimensions

$b_1=2h+1$

$b_2=h+1$

and height h

Thus

$\displaystyle A=\frac{2h+1+h+1}{2}\cdot h=\frac{3h+2}{2}\cdot h$

Operating

$\displaystyle A=\frac{3h^2+2h}{2}=\frac{3h^2}{2}+h$

$\boxed{A=\frac{3h^2}{2}+h}$

Is the required polynomial

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2 years ago

If a set of data has mean 60 and variance 9 then it's coefficient of variation is

loris [4]

Coefficient of variation is calculated by dividing the standard deviation by the mean multiplied by 100. Given a data set with mean equal to 60 and variance equal to 9, we can calculate the coefficient of variation by finding the value of the standard deviation which is the square root of the variance. so standard deviation is equal to square root of 9 which is 3. Then, the coefficient of variation is equal to 3/60*100 which is equal to 5%.

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3 years ago

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One can convert temperature from Fahrenheit into Newton using the formula N=11/60(F-32) . What is the temperature in Fahrenheit

Rasek [7]

We are given

$N=\frac{11}{60} (F-32)$