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svetlana [45]
3 years ago
14

Help fast please ASAP

Mathematics
1 answer:
Aloiza [94]3 years ago
3 0

Answer:

a rotation of 180° about point (0.5, -0.5) followed by a dilation of 0.5

Step-by-step explanation:

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Step-by-step explanation:

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With reference to the figure, sin X equals?<br> 1.) 0.250<br> 2.)0.447<br> 3.)0.894<br> 4.)1
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Answer:

3.) 0.894

Step-by-step explanation:

✔️First, find BD using Pythagorean Theorem:

BD² = BC² - DC²

BC = 17.89

DC = 16

Plug in the values

BD² = 17.89² - 16²

BD² = 64.0521

BD = √64.0521

BD = 8.0 (nearest tenth)

✔️Next, find AD using the right triangle altitude theorem:

BD = √(AD*DC)

Plug in the values into the equation

8 = √(AD*16)

Square both sides

8² = AD*16

64 = AD*16

Divide both sides by 16

4 = AD

AD = 4

✔️Find AB using Pythagorean Theorem:

AB = √(BD² + AD²)

AB = √(8² + 4²)

AB = √(64 + 16)

AB = √(80)

AB = 8.9 (nearest tenth)

✔️Find sin x using trigonometric ratio formula:

Reference angle = x

Opposite side = BD = 8

Hypotenuse = AB = 8.944

Thus:

sin(x) = \frac{opp}{hyp} = \frac{8}{8.944} = 0.894 (nearest thousandth)

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What is the range of the function y=3^x<br><br> x&gt;0<br><br> R<br> y&lt;0<br> y&gt;0
Dima020 [189]

Answer:

The range is  y > 0

Step-by-step explanation:

3^x is always greater than 0 and cannot be negative   unless x is not real

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3 years ago
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