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Alja [10]
2 years ago
7

Determine the ordered pair that represents the coordinates of the point where the terminal side of the angle measuring 245∘ inte

rsects the unit circle, if the terminal side of an angle in standard position measuring 65∘ intersects the unit circle at (x,y)? Answer with an ordered pair in terms of x and y.

Mathematics
2 answers:
rosijanka [135]2 years ago
3 0
The point
x =  \sin \theta  \: and \: y = cos \theta
lies on the unit circle.


The reference angle for 245° is 65°.


Since 245° lies in the third quadrant,

cosine is negative and sine is negative

Therefore 245° intersect the unit circle at


x =  -  \sin ( 65 \degree )  \: and \: y =  - \cos(65 \degree)
In terms of x and y, 245° intersects the unit circle at


( - x,-y)

Stella [2.4K]2 years ago
3 0

Answer:


Step-by-step explanation:

For any circle in polar coordinates we write as

x= rcost and y = r sint

For unit circle r =1

Hence x = cost and y =sint

Here t = 245 lies in III quadrant,  Both sin and cos are negative

x = cos 245 =-0.4227

y =sin 245 =-0.9063

Hence ordered pair is

(-0.4227, -0.9063)

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Answer:

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2 years ago
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Steph makes scones in three flavours: cheese, fruit and plain. She makes: • 4 times as many fruit scones as cheese scones, • 3 t
lakkis [162]

Answer:

£6

Step-by-step explanation:

Let

Plain scones = x

Cheese scones = 3x

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= 12x

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She sells each scone for the same price.

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96 = x + 3x + 12x

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3 0
1 year ago
The cabin of a business jet has a cabin height 5 feet 9 inches high. If a business traveler’s height is N(5'10", 2.7"), what per
klio [65]

Answer:

0.6443 = 64.43% of the business travelers will have to stoop

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:

Each feet is 12 inches

So

5'9'' = 5*12 + 9 = 69

5'10'' = 5*12 + 10 = 70

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