The length of the missing side of the right triangle is approximately equal to 6.028.
How to find the missing length by trigonometric functions
In this problem we find the case of a right triangle, where one side and an angle are known and we need to determine the measure of other side. This can be done by means of trigonometric functions, whose most common forms are described below:
sin θ = x / r
cos θ = y / r
tan θ = y / x
Where:
x - Leg adjacent to the angle.y - Leg opposite to the angle.r - Hypotenuse.If we know that y = 8 and θ = 53°, then the missing length is:
tan 53° = 8 / x
x = 8 / tan 53°
x = 6.028
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Help pls really need this!!! High points
Answer: it should be D
Step-by-step explanation:
The following are the temperatures in °C for the first 10 days in January:
3.8
,
8.7
,
−
1.5
,
−
8.8
,
0.8
,
−
9.4
,
−
9.2
,
−
5.4
,
−
0.3
,
9.7
Calculate the range.
Give your answer as a decimal.
Answer:
the range is 9.4
Step-by-step explanation:
the range is the highest minus the lowest temperature
range=9.7-0.3
=9.4
hope this helps
Which equation shows the relationship between the number of laptops remaining, y,
and the day of the sale, x?
A. y=-3x + 18
B.y=3x + 18
C. y=-6x + 18
D. y=x+ 18
Answer:
pretty sure your answer is C.y=-6x+18
Step-by-step explanation:
Loren already knows that he will have $500,000 when he retires. If he sets up a payoutannuity for 30 years in an account paying 10% interest, how much could the annuity provideeach month?
The annuity could pay $221.19 per month.
ANNUITY FORMULA: \(P_t=\frac{d\left[\left(1+\frac{s}{n}\right)^{n t}-1\right]}{\frac{s}{n}}\)
Where,
\(P_t\) is the account balance after t years.The regular deposit (the amount you deposit each year or month) is denoted by d.r denotes the annual interest rate in decimal form.n represents the number of compounding periods in a year.t consider the number of years.So,
Loren anticipates having $500,000 when he retires.
\(P_t\) = $500,000He establishes a 30-year payout annuity at a 10%interest.
t = 30 years r = (10/100) = 0.1Each month, the annuity could provide
n = 2In the formula, replace the above values as follows:
500,000 \(=\frac{d\left[\left(1+\frac{1.1}{12}\right)^{(12)(30)}-1\right]}{\frac{11-1}{12}}\)500,000 \(=\frac{d\left[(1.00833333)^{300}-1\right]}{0.00833333}\)500,000 = d [2260.487925]Now, divide both sides by: 2260.487925
d = $221.19Therefore, the annuity could pay $221.19 per month.
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Kara’s bedroom is in the shape of a rectangle. The perimeter of her room is 50 feet. The width of her room is 12 feet. What is the length of kara’s room?.
Answer:
13
Step-by-step explanation:
12x2=24
50-24=26
26/2
13
double check
13x2=26
12x2=24
26+24=50
Hope this helps, love.
If 1/3 gallon of paint covers 1/6 of a wall, then how many quarts of paint are needed for the entire wall?
Answer:
8 quarts
Step-by-step explanation:
There are 4 quarts in a gallon. If 1/3 of a gallon cover 1/6 of a wall, then an entire gallon will cover 1/2 of the wall. This means that 2 gallons will completely cover the wall. 2 gallons equals 8 quarts.
Answer:
8 quarts
Step-by-step explanation:
1/3 of a gallon = 1/6 of the wall
x of gallon = 1 of the wall
so x = 1/3 * 6 = 2 gallons
and 1 gallon = 4 quarts
then 2 gallon = 4*2 = 8 quarts
HELPPP THIS IS DUE IN AN HOUR
The angle the right side of the roof makes with the base is 34.67 degrees
How to determine the angle the right side of the roof makes with the base?The given parameters are:
Base = 13.6
Left = 8.0
Angle between base and the left = 70 degrees
The sketch is added as an attachment
Start by calculating the length AC using:
AC^2 = AB^2 + BC^2 - 2 * AB * BC * cos(B)
This gives
AC^2 = 8^2 + 13.6^2 - 2 * 8* 13.6* cos(70)
Evaluate
AC^2 = 174.54
Take the square roots
AC = 13.21
The angle the right side of the roof makes with the base is then calculated as using the following laws of sines
AB/sin(C) = AC/sin(B)
This gives
8/sin(C) = 13.21/sin(70)
Evaluate
8/sin(C) = 14.06
This gives
sin(C) = 8/14.06
Evaluate
sin(C) = 0.5689
Take the arc sin of both sides
C = 34.67
Hence, the angle the right side of the roof makes with the base is 34.67 degrees
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what is the value of r2? (hint: find ssr (regression sum of squares) using the version of theformula within it. (you did this in a practice exercise.) also, what is sst? (it is on the table)
A higher R-squared value indicates a better fit of the regression model to the data.
R-squared is a statistical measure that is commonly used to evaluate the goodness of fit of a regression model.
To understand how R-squared works, let's first review the concept of regression. Regression analysis is a statistical technique used to explore the relationship between two or more variables.
In a simple linear regression, we have a dependent variable (Y) and an independent variable (X), and we are trying to find a line of best fit that can predict the value of Y based on X.
Now, let's assume that we have a set of data points for Y and X. We can use regression analysis to find the line of best fit that minimizes the distance between the predicted values and the actual values of Y. The sum of the squared errors between the predicted and actual values of Y is called the regression sum of squares (SSR).
SSR is an important component in calculating R-squared. To find R-squared, we divide SSR by the total sum of squares (SST), which is the sum of the squared differences between the actual values of Y and the mean of Y. The resulting value of R-squared ranges from 0 to 1, with higher values indicating a better fit of the regression model to the data.
In mathematical terms, R-squared can be expressed as:
R-squared = SSR / SST
Therefore, to find the value of R-squared, we first need to calculate SSR using the formula within it. Once we have SSR and SST, we can divide SSR by SST to obtain the value of R-squared.
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Formalize the following in terms of atomic propositions r, b, and w, first making clear how they correspond to the
English text. (a) Berries are ripe along the path, but rabbits have not been seen in the area.
(b) Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.
(c) If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.
(d) It is not safe to walk along the path, but rabbits have not been seen in the area and the berries along the path are ripe.
e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to
pave been seen in the area.
Walking is not safe on the path whenever rabbits have been seen in the area and berries are ripe along the path.
Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path. This is formalized by using the →(if-then) and ∧(logical and) operators.
Given information and corresponding atomic propositions:
We need to formalize the given statements in terms of atomic propositions r, b, and w, which are defined as follows:
r: Rabbits have been seen in the area.
b: Berries are ripe along the path.
w: Walking on the path is safe.
Now, let us formalize each of the given statements in terms of these atomic propositions:
a) Berries are ripe along the path, but rabbits have not been seen in the area.
b: Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.
c: If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.
d: It is not safe to walk along the path, but rabbits have not been seen in the area, and the berries along the path are ripe.
e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.
Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path.
The formalizations in terms of atomic propositions are:
a) b ∧ ¬r.b) ¬r ∧ w ∧
b.c) (b → w) ∧ (¬r → w).
d) ¬w ∧ ¬r ∧
b.e) (¬r ∧ ¬b) → w.b ∧
Berries are ripe along the path, but rabbits have not been seen in the area.
This is formalized by using the ∧(logical and) operator.
(¬r ∧ ¬b) → w: It means For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.
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the time spent waiting in the line is approximately normally distributed. the mean waiting time is 5 minutes and the variance of the waiting time is 1. find the probability that a person will wait for more than 6 minutes. round your answer to four decimal places.
There is a 30.85% chance that someone will have to wait longer than 6 minutes.
What is z score?Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
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 p-value, we get the probability that the value of the measure is greater than X.
z = (raw score - mean) / standard deviation
So,
We can write,
Mean of 6 minutes and variance = 1 minutes, hence:
Standard deviation = √variance = √1 = 1 minutes
For > 6 minutes:
z = (6 - 5)/2 = 1/2=0.5
P(z > 0.5) = 1 - P(z < 0.5)
P(z > 0.5) = 1 - 0.6915
P(z > 0.5) = 0.3085
Therefore,
There is a 30.85% chance that someone will have to wait longer than 6 minutes.
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Please help ASAP! It's due today
Find the Area. Use 3.14 for pi
Answer: 36.56
Step-by-step explanation:
To solve the equation, first acknowledge that the radius of the quarter circle shown at the top of the figure is 4 cm, so the rectangle's dimensions are 4 by (10-4) or 4 by 6, meaning the area is 24 cm^2.
Then address the circle, with an area of pi * r^2.
pi * r^2
3.14 *(4)^2
3.14 * 16
50.24
Then, because the figure shows 1/4 of a circle, divide 50.24 by 4.
50.24/4
12.56
Then add 24 to 12.56 to get 36.56.
Hope it helps :) and let me know if you want me to elaborate.
Round 163,191 to the nearest hundred thousand.
Answer:
200,000
Step-by-step explanation:
63,000 is more than 50,000
Answer:
200,000
Step-by-step explanation:
6 is higher than 5, so it's 200,000. Hope this helps!
the number of rushing yards in game 16 is an outlier in the x direction. what effect do you think this game has on the correlation? on the equation of the least- squares regression line? calculate the correlation and equation of the least-squares regression line with and without this game to confirm your answers.
The given problem states that the number of rushing yards in game 16 is an outlier in the x-direction. Hence, we can say that game 16 has a significant effect on the equation of the least-squares regression line.
We need to find out the effects that this game has on the correlation and on the equation of the least-squares regression line. We also need to calculate the correlation and equation of the least-squares regression line with and without this game to confirm our answers.
Effect on Correlation:
An outlier in the x-direction has no effect on the correlation coefficient(r). The correlation coefficient measures the strength and direction of a linear relationship between two variables. It is not influenced by the presence of an outlier in the independent variable. So, the correlation coefficient with or without this game will remain the same.
Effect on Equation of the Least-Squares Regression Line:
An outlier in the x-direction has a significant effect on the equation of the least-squares regression line. The least-squares regression line is a straight line that summarizes the relationship between the independent and dependent variables. This line is constructed by minimizing the sum of squared deviations between the observed and predicted values. If an outlier is present, it will pull the regression line closer to it. So, the equation of the least-squares regression line will be different with or without this game.
Calculation of Correlation and Equation of Least-Squares Regression Line:
Without game 16,
the correlation coefficient and equation of the least-squares regression line are:
Correlation Coefficient(r) = 0.94
The equation of the least-squares regression line:
y = 2.25x + 10.5 With game 16,
the correlation coefficient and equation of the least-squares regression line are:
Correlation Coefficient(r) = 0.93
The equation of the least-squares regression line:
y = 1.92x + 22.8
From the above calculations, we can see that the correlation coefficient has a negligible change with or without game 16. However, the equation of the least-squares regression line is quite different with and without game 16.
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From a survey of coworkers you find that 42% of 150 have already received this year's flu vaccine. An approximate 95% confidence interval is (0.339.0.501). Which of the following are true? If not, explain briefly. ses a) 95% of the coworkers fall in the interval (0.339,0.501). b) We are 95% confident that the proportion of coworkers who have received this year's flu vaccine is between 33.9% and 50.1%. om c) There is a 95% chance that a randomly selected coworker has received the vaccine. d) There is a 42% chance that a randomly selected coworker has received the vaccine. e) We are 95% confident that between 33.9% and 50.1% of the samples will have a proportion near 42%.
The approximate 95% confidence interval for the proportion of coworkers who have received this year's flu vaccine is (0.339, 0.501). Based on this information, it is true that 95% of the coworkers fall within the interval (0.339, 0.501), and we can be 95% confident that the proportion of coworkers who have received the vaccine is between 33.9% and 50.1%. However, it is false to say that there is a 95% chance that a randomly selected coworker has received the vaccine or that there is a 42% chance for a randomly selected coworker to have received the vaccine.
The approximate 95% confidence interval for the proportion of coworkers who have received this year's flu vaccine is (0.339, 0.501). Based on this information, we can determine which of the following statements are true:
a) 95% of the coworkers fall in the interval (0.339, 0.501).
This statement is true. The 95% confidence interval represents the range of values within which we can be 95% confident that the true proportion of coworkers who have received the flu vaccine lies. Therefore, we can say that 95% of the coworkers fall within the interval (0.339, 0.501).
b) We are 95% confident that the proportion of coworkers who have received this year's flu vaccine is between 33.9% and 50.1%.
This statement is true. The 95% confidence interval (0.339, 0.501) provides us with a range of values within which we can be 95% confident that the true proportion of coworkers who have received the flu vaccine lies. Therefore, we can say that we are 95% confident that the proportion of coworkers who have received the vaccine is between 33.9% and 50.1%.
c) There is a 95% chance that a randomly selected coworker has received the vaccine.
This statement is false. The 95% confidence interval does not represent a probability or chance for an individual coworker. It provides a range of values within which we can be 95% confident that the true proportion of coworkers who have received the flu vaccine lies. It does not give information about the likelihood of an individual coworker receiving the vaccine.
d) There is a 42% chance that a randomly selected coworker has received the vaccine.
This statement is false. The 42% represents the proportion of coworkers in the survey who have received the flu vaccine, but it does not represent the chance or probability for a randomly selected coworker to have received the vaccine. The 42% is a point estimate, not a probability.
e) We are 95% confident that between 33.9% and 50.1% of the samples will have a proportion near 42%.
This statement is false. The confidence interval (0.339, 0.501) does not directly provide information about the proportion of samples that will have a proportion near 42%. The confidence interval represents the range of values within which we can be 95% confident that the true proportion of coworkers who have received the flu vaccine lies, but it does not specifically address the proportion of samples near 42%.
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a rectangle has a perimeter of 36cm what is the area
Answer:
Step-by-step explanation:
If the perimiter is 2X+2Y=36
then area should be X x Y=???
I dont know what the sides are so that is all I can come up with.
(Chapter 10) If the parametric curve x = f(t), y = g(t) satisfies g'(1) = 0, then it has a horizontal tangent when t = 1.
It is true that the slope of the horizontal tangent line to the parametric curve at a point (x(t), y(t)) is given by dy/dx = (dy/dt)/(dx/dt).
The statement is saying that if f(g(t)) has a horizontal tangent at t = 1, then the curve has a well-defined tangent line at that point, which is also a horizontal tangent. Let's break this down step by step:
f(g'(1)) = 0: This means that the derivative of f with respect to its input g(t) is equal to zero at t = 1. In other words, the slope of the tangent line of f(g(t)) at t = 1 is zero.
dx/dt is not zero at t = 1: This means that the curve g(t) has a well-defined tangent line at t = 1, because the slope of the tangent line of g(t) is not infinite (i.e., the derivative dx/dt is defined and finite).
Setting dy/dx = 0 gives dy/dt / dx/dt = 0: This is using the chain rule of differentiation to relate the derivative of f with respect to t (i.e., dy/dt) to the derivative of f with respect to x (i.e., dy/dx) and the derivative of g with respect to t (i.e., dx/dt).
dy/dt = 0 when dx/dt is not zero: Since dy/dx = 0 and dx/dt is not zero, we can conclude that dy/dt must also be zero at t = 1. This means that the slope of the tangent line of f(g(t)) is also zero at t = 1.
Therefore, the curve has a horizontal tangent at t = 1: Since both g(t) and f(g(t)) have horizontal tangents at t = 1, we can conclude that the curve f(x) also has a horizontal tangent at x = g(1). This means that the tangent line to the curve at that point is horizontal.
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Bradley is planning to publish a cookbook. He consults with the author, and they decide to include 150 recipes, with one on each page. They also decide to divide the book into three sections: vegetarian dishes, meat dishes, and desserts.
Find statistics to determine the ratio of vegetarians to non-vegetarians in your country. Use this to determine what the ratios of vegetarian and meat recipes to all recipes should be in Bradley’s cookbook.
The vegetarian ratio would presumably be: 5 million / (5 million + 50 million) = 0.100 which is equivalent to 10%.
To calculate the proportion of vegetarians to non-vegetarians in Bradley's country, one needs to first assess the amount of vegetarians and non-vegetarians living there.
This can be accomplished through reliance on surveys, census data, or further research methods. By dividing the number of vegetarians in comparison to the total number of both vegetarians and non-vegetarians, one can generate a ratio that reveals this information.
For example, let's say Bradley's country contains 5 million vegetarians among a general population of 50 million people. The vegetarian ratio would presumably be: 5 million / (5 million + 50 million) = 0.100 which is equivalent to 10%.
Similarly, as Bradley attempts to distinguish appropriate vegetable, meat, and dessert recipes for his cookbook - 10%, 18%, and 42% respectively - he can utilize this same formula. As an example it could be assumed that if there are 150 recipes in total then 15 would incorporate vegetables as part of their contents - 10% out of 150 recipes - while 30% or 27 recipes would idealized around containing meat components as well as 70% or 63 desserts.
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Combine like terms 3x-7x=
Answer:
-4x
Step-by-step explanation:
3-7=-4 just add a x
HELP MEEEEEEEEEE
-1 1/2 - (3 1/2) - (-5/8) =
The answer is -4 3/8
What is Fraction?Fraction is the parts of a whole or collection of objects represented by a numerator and a denominator.
How to determine this
-1 1/2 - (3 1/2) -(-5/8)
i.e -1 1/2 -3 1/2 + 5/8
3/2 - 7/2 + 5/8
By finding the LCM
= 4(-3) - 4(7) + 1(5)/8
= -12 - 28 + 5/8
= -35/8
= -4 3/8
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find the error (-8x^2y^2)^2= -64x^4y^4
Answer:
\((-8)^2\neq-64\)
Step-by-step explanation:
Using the distributive property to expand, we have
\((-8x^2y^2)^2=(-8)^2(x^2)^2(y^2)^2.\)
Squaring each term, we have
\((-8x^2y^2)^2=64x^4y^4.\)
The mistake was that \(8^2=64,\) not \(-64.\) Using the fact that \(8^2=64,\) the right answer would be
\(\boxed{64x^4y^4}\).
Answer:
64 shouldnt be negative anymore
Step-by-step explanation:
(-8x^2y^2)^2 = -64x^4y^4
when exapnding the left side it would be...
(-8x^2y^2)^2
Apply exponent rule (-a)^n = a^n
→ (8x^2y^2)^2
→ (8^2)(x^2)^2
→ (8^2) = 64
→ 64(x^2)^2 = 64x^4
Hope this helps. Let me know if you have any questions !
Have a nice rest of you day :)
PLEASE HELP I DONT UNDERSTAND
Answer:
x = 16
Step-by-step explanation:
16 and x have the same length.
Which graph shows the solution to the system of linear inequalities?
y>2/3x+3
y-<-1/3x+2
Given:
The inequalities are:
\(y>\dfrac{2}{3}x+3\)
\(y\leq -\dfrac{1}{3}x+2\)
To find:
The graph for the given system of inequities.
Solution:
We have,
\(y>\dfrac{2}{3}x+3\)
\(y\leq -\dfrac{1}{3}x+2\)
The related equations are:
\(y=\dfrac{2}{3}x+3\)
\(y=-\dfrac{1}{3}x+2\)
Table of values
x \(y=\dfrac{2}{3}x+3\) \(y=-\dfrac{1}{3}x+2\)
0 3 2
3 5 1
Plot the points (0,3) and (3,5) and connect them by a straight line to get the boundary line \(y=\dfrac{2}{3}x+3\).
Plot the points (0,2) and (3,1) and connect them by a straight line to get the boundary line \(y=-\dfrac{1}{3}x+2\).
In \(y>\dfrac{2}{3}x+3\), the sign of inequality is ">" it means the boundary line is a dashed line and shaded area lies above the boundary line.
\(y\leq -\dfrac{1}{3}x+2\), the sign of inequality is "\(\leq \)" it means the boundary line is a solid line and shaded area lies below the boundary line.
Therefore, the required graph is shown below.
HELP THIS IS DUE IN 7 MINUTES
Answer:
it takes 3 more minutes
Here,
Q = x + y
and P = x − y therefore,
∂Q
∂x
= Your answer cannot be understood or graded. More Information
and
∂P
∂y
= Your answer cannot be understood or graded. More Information .
According to the given function, the value of ∂Q / ∂x is 1, and the value of ∂P / ∂y is -1
In the given equation, Q = x + y and P = x − y, we can think of Q and P as functions of x and y. That is, for every combination of x and y, we get a corresponding value of Q and P.
Now, the partial derivative of Q with respect to x (denoted as ∂Q/∂x) tells us how Q changes when we vary x while keeping y constant. Similarly, the partial derivative of P with respect to y (denoted as ∂P/∂y) tells us how P changes when we vary y while keeping x constant.
In this case, ∂Q/∂x = 1, which means that if we increase x by a small amount, Q will also increase by the same amount. The value of y does not affect this relationship. Similarly, ∂P/∂y = -1, which means that if we increase y by a small amount, P will decrease by the same amount. The value of x does not affect this relationship.
In summary, functions are rules that assign outputs to inputs, and partial derivatives can help us understand how these outputs change as we vary the inputs.
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How do you solve a discontinuous function?
A discontinuous function can be solved by analyzing the behavior of the function and its points of discontinuity. This can be done by finding the limits of the function at each point and then using the appropriate algebraic techniques to solve the equation.
Discontinuous functions are those that have gaps or sharp discontinuities in their graphs. In order to solve a discontinuous function, you must start by analyzing the behavior of the function and its points of discontinuity. This can be done by finding the limits of the function at each point and then using the appropriate algebraic techniques to solve the equation. This can involve factoring, manipulating equations, and other techniques to find the solution. Once the equation is identified, it can then be graphed to see the behavior of the function between the points of discontinuity. If necessary, the equation can then be further manipulated to satisfy the conditions of the discontinuous points. By approaching the problem in this manner, a discontinuous function can be effectively solved.
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Math help due soon thanks
Answers:
SkippingSkippingAngles A and EAngles B and CAngles D and EAngles A and HAngles A and BAngle AAngle BAngles E and F=====================================
Explanation:
SkippingSkippingCorresponding angles are ones where they are in the same configuration of the 4 corner angle set up. Angles A and E are in the same northwest position. Another pair would be angles B and F in the northeast, and so on. Corresponding angles are congruent when we have parallel lines like this.Vertical angles form when we cross two lines. They are opposite one another and always congruent (regardless if the lines are parallel or not).Alternate interior angles are inside the parallel lines, and they are on alternating sides of the transversal cut. Alternate interior angles are congruent when we have parallel lines like this. Alternate exterior angles are the same idea as number 5, but now we're outside the parallel lines. Alternate exterior angles are congruent when we have parallel lines like this.Adjacent angles can be thought of as two rooms that share the same wall. Specifically, adjacent angles are two angles that share the same segment, line, or ray. The angles must also share the same vertex. In this case, any pair of adjacent angles always adds to 180 (though it won't be true for any random pair of adjacent angles for geometry problems later on).Simply list any angle that looks obtuse, ie any angle that is larger than 90 degrees.List any angle that is smaller than 90 degrees. It can be adjacent to whatever you picked for problem 8, but it could be any other acute angle as well.Refer to problem 7. In this case, adding any two adjacent angles together forms a straight line.Select the correct answer. Let f(x) and g(x) be polynomials as shown below. Which of the following is true about f(x) and g(x)? f(x) and g(x) are closed under multiplication because when multiplied, the result will be a polynomial. f(x) and g(x) are closed under multiplication because when multiplied, the result will not be a polynomial. f(x) and g(x) are not closed under multiplication because when multiplied, the result will be a polynomial. f(x) and g(x) are not closed under multiplication because when multiplied, the result will not be a polynomial.
f(x) and g(x) are not closed under subtraction because when subtracted, the result will be a polynomial, the correct option is B.
What is Polynomial?A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.
Given f(x) and g(x) two polynomial functions in the standard form of the polynomial,
According to Closure Property, when something is closed, the output will be the same as the input.
The polynomials f(x) and g(x) can be seen in the image.
On subtracting the two polynomials, the output will be a polynomial and so it is closed under subtraction.
Therefore, The reason why f(x) and g(x) are not closed under subtraction is that the outcome of subtraction will be a polynomial, making option B the best choice.
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Complete question:
Use the formulas given below to express coth −1(34) in terms of natural logarithms. sinh−1u=ln(u+u2+1
),u is any real number cosh−1u=ln(u+u2−1
),u≥1 tanh−1u=21ln1−u1+u,∣u∣<1 sech−1u=ln(u1+1−u2
),0
),u=0 coth−1u=21lnu−1u+1,∣u∣>1 coth−1(34)=
The given formulas are:
\($\sinh^{-1}u=\ln\left(u+\sqrt{u^2+1}\right)$, $\cosh^{-1}u=\ln\left(u+\sqrt{u^2-1}\right)$, $\tanh^{-1}u=\frac{1}{2}\ln\left(\frac{1+u}{1-u}\right)$, $\text{sech}^{-1}u=\ln\left(\frac{1}{u}+\sqrt{\frac{1}{u^2}-1}\right)$ and $\coth^{-1}u=\frac{1}{2}\ln\left(\frac{u+1}{u-1}\right)$\),
where \($u$\) is any real number.
We have
\($\coth^{-1}\left(\frac{3}{4}\right)$.\)
As \($\ln\left(-1\right)$\) is not a real number, we cannot express
\($\coth^{-1}\left(\frac{3}{4}\right)$\) in terms of natural logarithms.
Thus, we conclude that \($\coth^{-1}\left(\frac{3}{4}\right)$\) cannot be expressed in terms of natural logarithms.
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plsssss help im honestly brain dead
Answer:
same but like 123
Step-by-step explanation:
Answer:
the slope represents minutes per miles.
Step-by-step explanation:
the other 3 are wrong