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Nitella [24]
3 years ago
6

Verify sin(360 - etheta = -sin etheta

Mathematics
1 answer:
Dovator [93]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

Using the subtraction identity for sine

sin(a + b) = sinacosb - cosasinb

Given

sin(360 - Θ)°

= sin360°cosΘ° - cos360°sinΘ°

= (0 × cosΘ ) - (1 × sinΘ)

= 0 - sinΘ

= - sinΘ  ← as required

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Find the selling price of a book with an original price of $49.95 and a 5% tax rate.please be specific on how the answer is the
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Step-by-step explanation:

$52.45

49.95×.05

then add that result to 49.95= answer

3 0
3 years ago
At what rate of interest would rs 1800 amount to rs 2500 in 2 years
Romashka [77]

Interest formula: A = P(1 + rt)

Solving for r (Rate): r = (1/t)(A/P - 1)

Rate = (1/2)(2500/1800 - 1) = (1/2)(25/18 - 1) = (1/2)(7/18) = 7/36 ≈ 0.194

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3 years ago
What is the vertex of f (x) = 5x^2+20x-16
sergeinik [125]

Answer:

vertex = (- 2, - 36)

Step-by-step explanation:

Given a parabola in standard form : y = ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

f(x) = 5x² + 20x - 16 is in standard form

with a = 5, b = 20 and c = - 16

x_{vertex} = - \frac{20}{10} = - 2

Substitute x = - 2 into f(x) for corresponding y- coordinate

f(- 2) = 5(- 2)² +20(- 2) - 16 = 20 - 40 - 16 = - 36

vertex = (- 2, - 36)



3 0
3 years ago
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Brita has a monthly budget of x dollars. She spends $1,425 on her mortgage every month. One-third of her remaining budget is spe
Morgarella [4.7K]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
What does 100%, 4/4 ,1.000 have in common
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