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3 years ago

Please help me asap.

Mathematics

1 answer:

Damm [24]3 years ago

3 0

Answer:

42.1 degrees

Step-by-step explanation:

- since we have a opposite/hypotenuse ratio, that means we used sin x = o/h

- this means, sin x = 0.67

so, x = $sin^{-1$ (0.67) {sin inverse}

x = 42.06 degrees, i rounded it up to 42.1 but its up to you (or according to the question)

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77julia77 [94]

Answer:

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Step-by-step explanation:

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3 years ago

Which of the following illustrates a phase shift?

Natasha_Volkova [10]

Answer:

A. y = -2 - cos(x-π)

Explanation:

The general form of the trig equation is:

y = A sin (Bx + C) + D

where:

A is the amplitude

$\frac{2\pi}{B}$ is the period

$\frac{-C}{B}$ is the phase shift

D is the vertical shift

Now, let's check the choices:

A. y = -2 - cos(x-π)

$\frac{-C}{B} = \frac{\pi}{1} = \pi$

Therefore, the function has a phase shift of π

B. y = 3 cos(4x)

$\frac{-C}{B} = \frac{0}{4} = 0$

Therefore, the function has no phase shift

C. y = tan(2x)

$\frac{-C}{B} = \frac{0}{2} = 0$

Therefore, the function has no phase shift

D. y = 1 + sin(x)

$\frac{-C}{B} = \frac{0}{1} = 0$

Therefore, the function has no phase shift

Based on the above, the correct answer is A

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3 years ago

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What is the value of x

fenix001 [56]

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2x = 3x-54

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Step-by-step explanation:

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A set of average city temperatures in May are normally distributed with a mean of 20.66 ^\circ \text{C}20.66

Angelina_Jolie [31]

Answer:

0.9962

Step-by-step explanation:

The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:

$z=\frac{x-\mu}{\sigma}\\ \\\mu=mean,\sigma=standard\ deviation, x=raw\ score$

μ = 20.66°C, σ = 2°C

For x < Singapore temperature, i.e. x < 26

$z=\frac{x-\mu}{\sigma} =\frac{26-20.66}{2}=2.67$

From the normal distribution table P(x < 26) = P(z < 2.67) = 0.9962

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3 years ago