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3 years ago

Sin400°= 1. sin40° 2. -sin40° 3. sin(-40)°

Mathematics

1 answer:

LenaWriter [7]3 years ago

4 0

Answer:

sin(40°)

Step-by-step explanation:

Trigonometric functions such as sine, cosine, tangent whose short forms are sin, cos, tan respectively are repetitive functions which repeat itself after every integral multiple of 2π radian or 360°. It means if you add or subtract 360° from any input of trigonometric function the output of the function won't change.

It means sin(θ) = sin(θ - n×360°) = sin(θ + n×360°)

similarly cos(θ) = cos(θ - n×360°) = cos(θ + n×360°)

and tan(θ) = tan(θ - n×360°) = tan(θ + n×360°)

where n is an integer.

So, by this sin(400°) = sin(400° - 360°) = sin(40°)

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2x-8y=6 y=-7- x what are the coordinates

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2x-8(-7-x)=6
2x+56+8x=6
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(-5,-2)

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4 years ago

The lengths of nails produced in a factory are normally distributed with a mean of 4.84 centimeters and a standard deviation of

Helga [31]

Answer:

Top 3%: 4.934 cm

Bottom 3%: 4.746 cm

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 4.84, \sigma = 0.05$

Top 3%

Value of Z when Z has a pvalue of 1 - 0.03 = 0.97. So X when Z = 1.88.

$Z = \frac{X - \mu}{\sigma}$

$1.88 = \frac{X - 4.84}{0.05}$

$X - 4.84 = 0.05*1.88$

$X = 4.934$

Bottom 3%

Value of Z when Z has a pvalue of 0.03. So X when Z = -1.88.

$Z = \frac{X - \mu}{\sigma}$

$-1.88 = \frac{X - 4.84}{0.05}$

$X - 4.84 = 0.05*(-1.88)$

$X = 4.746$

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3 years ago

To legally drive a off-road vehicle, your age, a, must be 13 or over. Which of the following inequalities represents this senten

seropon [69]

Answer:

Step-by-step explanation:

The > symbol shows that you have to be older than 13, and there must be a line underneath to signify a can be equal to the number (meaning you can be 13 to do this).

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3 years ago

Read 2 more answers

In 56 years ,Kevin will be 9 times as old as he is right now. How old is he right now?

m_a_m_a [10]

Answer:

Step-by-step explanation:

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3 years ago

In one day, the stock price for Warbucks Coffee rose from $50 to $57 per share. By what percent did this stock price rise?

egoroff_w [7]

Answer:

14%

Step-by-step explanation:

1. The formula to find percent change is $\frac{(V_2-V_1)}{|V_1|} * 100$ . Now, all we have to do is plug in the values to their corresponding variable.

2. (Solving)

$\frac{(57-50)}{|50|} * 100$
$\frac{7}{50} *100$

$0.14 * 100$
14%

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3 years ago