Solve for 2. Round to the nearest tenth, if necessary.

Mathematics

1 answer:

inysia [295]2 years ago

6 0

Answer:

Step-by-step explanation:

The reference angle is given as 63 degrees. The sides in question, x and 1, are adjacent to and opposite of this angle, respectively. The trig ratio that utilizes the sides adjacent to and opposite of angles is the tangent ratio; namely:

$tan(63)=\frac{1}{x}$ and rearrange algebraically to get

$x=\frac{1}{tan(63)}$ to get

x = .5

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In the expansion (ax+by)^7, the coefficients of the first two terms are 128 and -224, respectively. Find the values of a and b

madam [21]

Answer:

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Step-by-step explanation:

Expanding $(ax+by)^7$ using Binomial expansion, we have that:

$(ax+by)^7$ =

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$= (a)^7(x)^7+ (a)^6(x)^6(b)(y) + (a)^5(x)^5(b)^2(y)^2 + (a)^4(x)^4(b)^3(y)^3 + (a)^3(x)^3(b)^4(y)^4 + (a)^2(x)^2(b)^5(y)^5 + (a)(x)(b)^6(y)^6 + (b)^7(y)^7\\\\\\= (a)^7(x)^7+ (a)^6(b)(x)^6(y) + (a)^5(b)^2(x)^5(y)^2 + (a)^4(b)^3(x)^4(y)^3 + (a)^3(b)^4(x)^3(y)^4 + (a)^2(b)^5(x)^2(y)^5 + (a)(b)^6(x)(y)^6 + (b)^7(y)^7$