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Sliva [168]
1 year ago
8

If sin25=p write the following term of p cos65tan205​

Mathematics
1 answer:
kakasveta [241]1 year ago
4 0

Answer:

cos65 = sin25 = p

tan205 = tan25 = p/√(1-√p)

Step-by-step explanation:

trigonometry, the branch of mathematics concerned with specific functions of angles and their application to calculations. There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec)

some Trigonometric identities used in the question:

  • cos(90-θ) = sinθ
  • sin²θ + cos²θ = 1
  • tan(π±θ)  =  tanθ
  • tanθ = sinθ/cosθ

in the question it is given,

sin25 = p

using above mentioned identity:-

cos 65 = cos(90-25) = sin25 = p

hence value of cos65 is p.

for, tan205 we have to first find the cos25

so to find cos25 we use above mentioned identity,

cos²25 + sin²25 = 1

cos²25 + √p      = 1

cos²25               = 1-√p

cos25               = √(1-√p)  

now to find out tan205 use third identity mentioned above,

tan205 = tan(π+25) = tan25

tan25 = sin25/cos25

tan25 = p/√(1-√p)  

learn more about trigonometry at

brainly.com/question/26719838

#SPJ10

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Answer:

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Step-by-step explanation:

7 0
2 years ago
What are the degree and leading coefficient of the polynomial of 12u3 -8 + 23u
irga5000 [103]

Answer:

Degree: 3

Leading Coefficient: 12

Step-by-step explanation:

Find the highest power to determine the degree, in this case it's 3. Then identify the term with the highest power (12u^3) to find the leading coefficient.

So, because 3 is the largest and only power in this equation, it is the degree. 12u^3 is the leading term (term containing the highest degree) and 12 is the coefficient attatched to the term. Hope that helped!

4 0
3 years ago
The number of boots that 25 students had in their homes in Florida were recorded below:
Doss [256]

Answer:

A) 8

B) Significantly (increased)

C) Not affected

D) Median

E) Significantly (increased)

F) Not affected

G) Interquartile range

Step-by-step explanation:

A)

When we have a certain set of data, we call "outlier" a value in this set of data that is significantly far from all the other values.

In this problem, we see that we have the following set of data:

0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,5,8

We see that all the values between 0 and 5 are relatively close to each other, being only 1 number distant from any other value.

On the other hand, the last value "8" is 3 numbers distant from the other highest value ("5"), so the outliar is 8.

B)

The mean of a certain set of value indicates the "average" value of the dataset. It is given by:

\bar x = \frac{\sum x_i}{N}

where

\sum x_i is the sum of all the values in the dataset

N is the number of values in the dataset (in this case, 25)

An outlier usually affects a lot the mean, because it changes the value of the sum \sum x_i by quite a lot.

In fact in this problem, we have

\sum x_i = 47

N = 25

So the mean is

\bar x=\frac{47}{25}=1.88

Instead, without the outliar "8",

\sum x_i = 39\\N=24

And the mean would be

\bar x=\frac{39}{24}=1.63

So we see that the outlier increases the mean significantly.

C)

The median of a dataset is the "central value" of the dataset: it means it is the value for which 50% of the values of the dataset are above the median and 50% of the values of the dataset are below the median.

In this problem, we have 25 values in the dataset: so the median is the 13th values of the ordered dataset (because if we take the 13th value, there are 12 data below it, and 12 data above it). The 13th value here is a "2", so the median is 2.

We see also that the outlier does not affect the median.

In fact, if we had a "5" instead of a "8" (so, not an outlier), the median of this dataset would still be a 2.

D)

The center of a distribution is described by two different quantities depending on the conditions:

- If the distribution is symmetrical and has no tails/outliers, then the mean value is a good value that can be used to describe the center of the distribution.

- On the other hand, if the distribution is not very symmetrical and has tails/outliers, the median is a better estimator of the center of the distribution, because the mean is very affected by the presence of outliers, while the median is not.

So in this case, since the distribution is not symmetrical and has an outlier, it is better to use the median to describe the center of the distribution.

E)

The standard deviation of a distribution is a quantity used to describe the spread of the distribution. It is calculated as:

\sigma = \sqrt{\frac{\sum (x_i-\bar x)^2}{N}}

where

\sum (x_i-\bar x)^2 is the sum of the residuals

N is the number of values in the dataset (in this case, 25)

\bar x is the mean value of the dataset

The presence of an outlier in the distribution affects significantly the standard deviation, because it changes significantly the value of the sum \sum (x_i-\bar x)^2.

In fact, in this problem,

\sum (x_i-\bar x)^2=84.64

So the standard deviation is

\sigma = \sqrt{\frac{84.64}{25}}=1.84

Instead, if we remove the outlier from the dataset,

\sum (x_i-\bar x)^2=45.63

So the standard deviation is

\sigma = \sqrt{\frac{45.63}{24}}=1.38

So, the standard deviation is much higher when the outlier is included.

F)

The interquartile range (IQ) of a dataset is the difference between the 3rd quartile and the 1st quartile:

IQ=Q_3-Q_1

Where:

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Q_1 = 1st quartile is the value of the dataset for which 75% of the values are above Q_1, and 25% of the values are below it

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If the outlier is removed, Q_1, Q_3 do not change, therefore the IQ range does not change.

G)

The spread of a distribution can be described by using two different quantities:

- If the distribution is quite symmetrical and has no tails/outliers, then the standard deviation is a good value that can be used to describe the spread of the distribution.

- On the other hand, if the distribution is not very symmetrical and has tails/outliers, the interquartile range is a better estimator of the spread of the distribution, because the standard deviation is very affected by the presence of outliers, while the IQ range is not is not.

So in this case, since the distribution is not symmetrical and has an outlier, it is better to use the IQ range to describe the spread of the distribution.

5 0
3 years ago
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Aloiza [94]

Answer:

The answer is the second answer from the image. Which is 5x-8y=$75

Step-by-step explanation:

It is that answer because it costs $5 for one cheese pizza and $8 for a pepperoni pizza, so the answer is 5x-8y=75

still confused?

Its that answer because the first one and the third one are the same, just both equations like in different ways like example 10+2 is 12 right? And 2 + 10 is still 12 so that means the second answer from the image is the answer.

Hope that helps.

3 0
3 years ago
Read 2 more answers
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coldgirl [10]

Answer:

Can u send picture with it pls so i can figure it out?

What are the two shapes

Step-by-step explanation:

rectangle: length times width

triangle:  base times height divided by 2

parallelgram: Base times height

square: side times side

*If you get it right then follow me on roblox: Supertasticgg

and sub to Flamingo

ANd almost forgot trapezoid: base 1 + base 2 times by height then divide with 2

6 0
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