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Nat2105 [25]
3 years ago
6

Use a double angle or half angle identity to find the exact value of each expression

Mathematics
1 answer:
inna [77]3 years ago
4 0

<em>θ</em> is given to be in the fourth quadrant (270° < <em>θ</em> < 360°) for which sin(<em>θ</em>) < 0 and cos(<em>θ</em>) > 0. This means

cos²(<em>θ</em>) + sin²(<em>θ</em>) = 1   ==>   sin(<em>θ</em>) = -√[1 - cos²(<em>θ</em>)] = -3/5

Now recall the double angle identity for sine:

sin(2<em>θ</em>) = 2 sin(<em>θ</em>) cos(<em>θ</em>)

==>   sin(2<em>θ</em>) = 2 (-3/5) (4/5) = -24/25

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Hello!

The answer is 127,000%

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Y = -5 + 6 -----------
andreyandreev [35.5K]

Answer:

y = -5 + 6=1 is your answer

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3.) SOLVE FOR X.
gayaneshka [121]

The value of x in the secants intersection is 1 units

The value of NM in the tangent and secant intersection is 51 units

<h3>How to find length when secant and tangent intersect?</h3>

The first question, two secant intersect outside the circle.

Therefore,

(6x + 8x)8x = (9 + 7)7

14x(8x) = 16(7)

112x² = 112

x² = 112 / 112

x = √1

x = 1

The second question, tangent and secant intersect,

Therefore,

(x + 3)² = (x - 3)(16 + x - 3)

(x + 3)² = (x - 3)(x + 13)

(x + 3)(x + 3) = (x - 3)(x + 13)

x² + 3x + 3x + 9 = x² + 13x - 3x - 39

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x² - x² + 9x - 10x = -39 - 9

-x = - 48

x = 48

NM = 48 + 3 = 51 units

learn more on secant and tangent here: brainly.com/question/12477905

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6 0
2 years ago
Harold weighs 270 pounds now. If Harold goes on a diet and loses 30 pounds, then how many kilograms will he weigh?​
Leto [7]

Answer:

108.862 kg

Step-by-step explanation:

270lb -30lb =240 lb

240 lb is approx. 108.862 Kg

(Pounds are approx 2.205 times Kg)

<em>I hope this helps! :)</em>

3 0
3 years ago
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For tax purposes, a car rental company assumes each car in their fleet depreciates by 6% per year. If the initial value of a car
n200080 [17]

The value of a car after 10 years be $20898.27 if the car rental company assumes each car in their fleet depreciates by 6% per year option (a) $20898.27 is correct.

<h3>What is an exponential function?</h3>

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent \rm y = a^x

where a is a constant and a>1

We can solve this problem by exponential function:

The word  depreciate means the price is decreasing.

We can find the value be when the car is 10 years old:

p = 38800(1 - 0.06)¹⁰

p = 38800(0.94)¹⁰

p = 20898.266 ≈ $20898.27

Thus, the value of a car after 10 years be $20898.27 if the car rental company assumes each car in their fleet depreciates by 6% per year option (a) $20898.27 is correct.

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