Angle α is drawn on the unit circle in standard position. The terminal side of angle α intersects the unit circle at point (-0.292, 0.956). What is the approximate decimal value of tan(α)?

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Answer: (2,1)

Step-by-step explanation:

The two equations given are:

           y = 3 -x

           y = x - 1

The question is asking to determine the point of intersection for two linear functions aka two lines.

Step #1: Both functions must be in slope intercept form which is y = mx+b. In this case, this step can be skipped because both functions are in slope form. At an intersection, x and y must have the same value for each equation. This means that the equations are equal to each other. Therefore, we can set both equations equal to each other to solve for x.

Step #2: We found the x-coordinate, but we need to find the y-coordinate. We know that the x-coordinate is 2, so substitute the number 2 into any of the given equations. So, either into y = 3 - x or y = x - 1.

The point of intersection is (2,1).

Hope this helps ^_^

Answer:

Obtuse.

Step-by-step explanation:

If sides are a b and c, with c the longest:

c^2 = a^2 + b^2 = Right triangle

c^2 < a^2 + b^2 = Acute     ...

c^2 > a^2 + b^2 = Obtuse  ...

33^2 = 1089

25^2 = 625

9^2 = 81

625 + 81 = 706

1089 > 706 so the triangle is obtuse.

Answer:

Obtuse scalene triangle

Step-by-step explanation:

Side 1: 9 cm

Side 2: 25 cm

Side 3: 33 cm

1. Find 9 squared, 25 squared, and 33 squared:

9 squared = 81

25 squared = 625

33 squared: 1089

 Find sum of the squares of 2 smallest sides:

81 + 625 = 706

Longest Side Squared = 1089

706 < 1089

Hence, since 706 < 1089, aka sum of the squares of the smaller 2 sides < longest side squared - you have a obtuse scalene triangle

I used a triangle calculator, so yeah in advance you should probably just use one of those :)

Answer:

Using it's concept, it is found that there is a 8.3% probability of flipping a head AND rolling a 3.

Answer: 14%

Step-by-step explanation:

Answer:

Ur mom

Step-by-step explanation:

Ur mom JK here's the answer 11:45 A.M. because 15 + 15 + 15 = 45 15 is a quarter so yeah Bois is 11:45 A.M Good luck

Answer:

1% of 100 = 1

Step-by-step explanation:

simple and easy :D hope this helps

Answer:

y = 1

Step-by-step explanation:

Answer:

it's the second option

[tex]y=1[/tex]

Using it's concept, it is found that there is a 0.4901 = 49.01% probability that the person responded "same" or "better".

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Researching the problem on the internet, it is found that 424 + 566 = 990 out of 2020 respondants said that they were doing the same or better, hence:

p = 990/2020 = 0.4901

0.4901 = 49.01% probability that the person responded "same" or "better".

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

$10.89 should be your answer

Answer:

$9.50

Step-by-step explanation:

Divide 237.50 by 25

Answer:

30, 40, 50, 60, 70

Step-by-step explanation:

Answer:

build linear model

When modeling scenarios with linear functions and solving problems involving quantities with a constant rate of change, we typically follow the same problem solving strategies that we would use for any type of function.

fitting linear models to data

A professor is attempting to identify trends among final exam scores. His class has a mixture of students, so he wonders if there is any relationship between age and final exam scores. One way for him to analyze the scores is by creating a diagram that relates the age of each student to the exam score received.

distinguish between linear and nonlinear relations

As we saw in the cricket-chirp example, some data exhibit strong linear trends, but other data, like the final exam scores plotted by age, are clearly nonlinear. Most calculators and computer software can also provide us with the correlation coefficient, which is a measure of how closely the line fits the data.

use a linear model to make predictions

Once we determine that a set of data is linear using the correlation coefficient, we can use the regression line to make predictions. As we learned previously, a regression line is a line that is closest to the data in the scatter plot, which means that only one such line is a best fit for the data.

key concepts

1. Scatter plots show the relationship between two sets of data.

2. Scatter plots may represent linear or non-linear models.

3. The line of best fit may be estimated or calculated using a calculator or statistical software.

4. Interpolation can be used to predict values inside the domain and range of the data, whereas extrapolation can be used to predict values outside the domain and range of the data.

glossary

correlation coefficient

1. a value, r, between –1 and 1 that indicates the degree of linear correlation of variables or how closely a regression line fits a data set.

extrapolation

1. predicting a value outside the domain and range of the data

Step-by-step explanation:

1) For the term 3w, 5w, the HCF is "w" since it is common for both terms

2) For the terms 5bc ,2c², 3cd, the only common term is "c" hence the HCF of the terms will be "c"

3) For the set 4a² b, 8b² c ,6bcd, the HCF of the term is 2 since that is the only common value of the terms.

The HCF is the smallest value that can divide a set of values without leaving a remainder.

Given the following terms, we are to find their HCF's

1) For the term 3w, 5w, the HCF is "w" since it is common for both terms

2) For the terms 5bc ,2c², 3cd, the only common term is "c" hence the HCF of the terms will be "c"

3) For the set 4a² b, 8b² c ,6bcd, the HCF of the term is 2 since that is the only common value of the terms.

Laern more on HCF here: https://brainly.com/question/21504246

The surface area of the box is 1048 square inches

The formula for calculating the surface area of the prism is expressed as:

Surface area = 2(lw + wh +lh)

Given the following

l = 20in

w = 8in

h = 13in

Substitute the given parameters'

Surface area = 2(lw + wh +lh)

Surface area = 2(20(8) + 8(13) +20(13))

Surface area = 2(160+104+260)

Surface area = 1048 square inches

Hence surface area of the box is 1048 square inches

Learn more on surface area of box here: https://brainly.com/question/26161002

Answer:

4 and 5

Step-by-step explanation:

its right

Answer:

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

3x=x+40

Because Vertical Angles

2x=40

x=20

Answer:

17/25

Step-by-step explanation:

P(not red)=Number of Skittles Not Red/Total Number of Skittles

Step-by-step explanation:

the easiest way to answer this is to calculate the area of the large rectangle (white) and subtract the area of the small rectangular (black).

we know the dimensions of the small rectangle : 10×6

and because of the 2m thick "frame" we know the dimensions of the large rectangle by adding 2×2 m to every small dimension : 14×10

(2 m on the top and the bottom, and 2 m left and right, so 4 m added in every direction).

the area of the large rectangle is

14 m × 10 m = 140 m²

the area of the small rectangle is

10 m × 6 m = 60 m²

so the area of the path is

140 - 60 = 80 m²

Using proportions, it is found that there are c + 0.25n cents in n nickels and c cents.

A proportion is a fraction of a total amount. To solve problems involving proportions, such as this one, multiplications of the amounts and their values are made.

In this problem, we consider that each nickel has 0.25 cents, hence, there are c + 0.25n cents in n nickels and c cents.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

c+0.25n cents is the answer.

Answer:

The correct answer is D.

I hope this helps

Answer:

A and C are correct

Step-by-step explanation:

Making the decimal value greater than 4.3 or 4.30 will make the statement correct

Answer:

A

Step-by-step explanation:

incomplete statement

4.3 < 4 ← obviously not true

to make the statement true requires the value in the tenths place to be greater than 3 , for example

4.3 < 4.4 ← is a true statement

Answer:

Below

Step-by-step explanation:

Answer:

The answer is 2

Step-by-step explanation:

I took the k12 test. Hope this helps!

The correct answer is 2

Now ,  taking the data {26,35,27,30,22}

Adding the data

26+35+27+30+22 = 140

Now , Divide 140 by the total number of values in data set is 5

Therefore,  140/5 = 28

The mean is 28

Now substract the mean from the absolute deviation of 30

that is  30-28 = 2

Hence , The absolute deviation of 30 is data set is 2.

Learn about the absolute deviation below

https://brainly.com/question/447169

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The table has been created just we need the formula to utilise

The formula is given by

[tex]\\ \rm\Rrightarrow \sigma=\sqrt{\dfrac{\sum f(x-\overline{x})^2}{n}}[/tex]

It's

Now

[tex]\\ \rm\Rrightarrow \sigma=\sqrt{\dfrac{3360.5}{50}[/tex]

[tex]\\ \rm\Rrightarrow \sigma=\sqrt{67.21}[/tex]

[tex]\\ \rm\Rrightarrow \sigma=8.2[/tex]

Answer:

10 > P ≥ 5

Step-by-step explanation:

inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions

sine the price can't be greater than or equal to 10$ we set it up 10 is greater than P ( 10 > P )

sine the lowest price ever was 5$ then we know P can't be any lower than 5$ but can still be 5$ so we set up as P is greater than or equal to 5 ( P ≥ 5 )

then to get your answer you just but the two comparisons together ( 10 > P ≥ 5 )

Answer:

get better maybe

Step-by-step explanation:

just pay attention in class

Answer:

L = [tex]\frac{P - 12}{2}[/tex]

Step-by-step explanation:

Since perimeter is 2L + 2W, and width is 6, then P = 2L + 2*6, and solving for L gives you (P - 12)/2

Hopefully this helps- let me know if you have any questions!