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3 years ago

Write the expression as the sine, cosine, or tangent of an angle. cos 8x cos 2x - sin 8x sin 2x

2 answers:

5 0

Sum and Difference Formula for Cosine: cos(α±β)= cosαcosβ <span>∓ sin</span>αsinβ
cos(8x+2x)=cosαcosβ-sinαsinβ
cos(10x)=cosαcosβ-sinαsinβ

marusya05 [52]3 years ago

4 0

Answer:

cos (A - B) = cos 6 x

Step-by-step explanation:

given equation,

= cos 8 x . cos 2 x - sin 8 x . sin 2 x

using identity

cos (A - B) = cos (A) . cos(B) - sin (A) . sin(B)...................(1)

cos 8 x . cos 2 x - sin 8 x . sin 2 x......................................(2)

comparing both the equation (1) and (2)

we get ,

A = 8 x B = 2 x

hence, from the above identity we can see that

cos (A - B) = cos (8 x - 2 x)

cos (A - B) = cos 6 x

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Solve for x : ax+v=3(x-c)

never [62]

Answer:

$x=\frac{3c+v}{a-3}$

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

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3 years ago

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H 24 inches The volume of a cylinder can be found by using the formula v Bh. Which expression can be used to determine B, the ar

Lelechka [254]

The volume a cylinder is v=(area of base)h and since the area of the base is πr², you can write the equation a v=πr²h. Since the problem wants us to find what be is in the equation of a cylinder as v=Bh, we know that B=πr². The problem gave us the diameter of the circle so we no the radius is going to be the diameter (24) divided by 2 which equals 12. therefore B=12²π.

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3 years ago

Show your work<br> −17x = −204

pishuonlain [190]

You would divide -204 divide it by -17 and you would get 12
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3 years ago

Write a system of equations, with one equation describing the cost to bowl at Bowl-o-Rama and the other describing the cost to b

ZanzabumX [31]

Complete question :

Write a system of equations, with one equation describing the cost to bowl at Bowl-o-Rama and the other describing the cost to bowl at Bowling Pinz. For each equation, let x represent the number of games played and let y represent the total cost.

Bowl-O-Rama rents shoes for $2 and each game cost $2.50

Bowling Pinz rents shoes for $4 and each game cost $2

Answer:

Bowl-O-Rama:

y = $2 + $2.50x

Bowling pinz:

y = $4 + $2x

Step-by-step explanation:

The total cost is the sum of shoe rental plus the product of the unit game rate and the number of games played.

Total cost, y

x = number of games played

Bowl-O-Rama:

y = Shoe rent + (unit rate per game * number of games)

y = $2 + ($2.50 * x)

y = $2 + $2.50x

Bowling Pinz :

y = Shoe rent + (unit rate per game * number of games)

y = $4 + ($2 * x)

y = $4 + $2x

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2 years ago

A continuous probability distribution having a rectangular shape, where the probability is evenly distributed over an interval o

aleksklad [387]

Answer:

A continuous probability distribution having a rectangular shape, where the probability is evenly distributed over an interval of numbers is a(n) __uniform__________ distribution

Step-by-step explanation:

Given that there is a continuous probability distribution having a rectangular shape, where the probability is evenly distributed over an interval of numbers

Since the pdf is rectangular in shape and total probability is one we can say all values in the interval would be equally likely

Say if the interval is (a,b) P(X) = p the same for all places

Since total probability is 1,

we get integral of P(X)=p(b-a) =1

Or p= $\frac{1}{b-a}$

this is nothing but a uniform distribution continuous defined in the interval

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