the complement angle of 40 degree is

Answer:

\(y = -\frac{2}{3} x - \frac{8}{3}\)

Step-by-step explanation:

\(2x - 3y = 8\\\)

Isolate y

\(-3y = 8-2x\\-3y = -2x+8\)

Divide both sides of the equation by -3

\(\frac{-3y}{-3} = \frac{2x}{-3} +\frac{8}{-3} \\\\y = -\frac{2}{3} x - \frac{8}{3}\)

Answer:

6:3

Step-by-step explanation:

Answer: D-60

Step-by-step explanation:

Let x be the number of weeks.

For Account A,

Initial amount = $80

Amount added per week = $3.50 per week

Money after x weeks = 80+3.50x    ....(i)

For Account B,

Initial amount = $95

Amount added per week = $3.25 per week

Money after x weeks = 95+3.25x    ....(i)

When both account have the same amount , then

\(80+3.50x=95+3.25x \\\\\Rightarrow\ 3.50-3.25x=95-80\\\\\Rightarrow\ 0.25x=15\\\\\Rightarrow\ x=\dfrac{15}{0.25}\\\\\Rightarrow\ x=60\)

hence, it will take 60 weeks.

The correct option is D-60.

The length of the segment AC is 15.73 units.

The ratio between the adjacent side and the hypotenuse is known as the cosine function (or cos function) in triangles. One of the three fundamental trigonometric functions, cosine is the complement of sine (co+sine) and one of the three main trigonometric functions. The entire notion of COS includes a variety of themes.

For the given right triangle the angle A is 70 degrees and the hypotenuse = 46.

Using trigonometric identity we have:

Cos A = adjacent side to A / Hypotenuse

Cos (70) = x / 46

0.34(46) = 15.73

Hence, the length of the segment AC is 15.73 units.

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A is an arbitrary matrix in T(n), we know that A * A^T = F(1, n), where F(1, n) represents the n×n identity matrix.Therefore, we have shown that if T ∈ T(n), then T^2 = F(1, n).

To show that if T ∈ T(n), then T^2 = F(1, n), where T represents the transpose operator and F(1, n) represents the identity matrix of size n×n:

Let's consider an arbitrary matrix A ∈ T(n), which means A is a square matrix of size n×n.

By definition, the transpose of A, denoted as A^T, is obtained by interchanging its rows and columns.

Now, let's calculate (A^T)^2:

(A^T)^2 = (A^T) * (A^T)

Multiplying A^T with itself is equivalent to multiplying A with its transpose:

(A^T) * (A^T) = A * A^T

Since A is an arbitrary matrix in T(n), we know that A * A^T = F(1, n), where F(1, n) represents the n×n identity matrix.

Therefore, we have shown that if T ∈ T(n), then T^2 = F(1, n).

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The amount of principal after one month would be B. 72. 67.

In order to ascertain the amount of principal after one month, we must compute both the interest and principal segments of the initial monthly payment.

Initially, let us derive the sum for the first month's interest. The yearly rate of interest culminates to 19%; thus, applying the relevant mathematical formula leads to determination of the ensuing monthly interest rate:

= 19 % / 12

=  0. 015833

The interest portion on the payment is:

= 1, 800 x 0. 015833

= $ 28. 50

The principal is therefore:

= 101. 06 monthly payment - 28. 50

= $ 72. 67

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Answer:

4 lol

Step-by-step explanation:

Answer:

I am guessing 5.

Step-by-step explanation:

\(\large\boxed{\textsf{False.}}\)

\(\Large\underline{\textsf{What are Linear Pairs?}}\)

\(\textsf{Linear Pairs are 2 angles that form a straight angle.}\)

\(\textsf{Straight angles are equal to 180}^{\circ}.\)

\(\textsf{Complementary angles are 2 angles that form a right angle.}\)

\(\textsf{Right angles are equal to 90}^{\circ}.\)

\(\textsf{Because Linear Pairs are equal to 180}^{\circ}, \textsf{Linear Pairs are Supplementary.}\)

\(\textsf{For this problem, if linear pairs are complementary, the other 2 angles will be 90}^{\circ}?\)

\(\textsf{False, assuming we are referring to angles that add up to 360}^{\circ}.\)

\(\textsf{The angles would add up to 270}^{\circ} \ \textsf{instead.}\)

To find the reference angle of a negative angle, follow these steps:

Determine the positive equivalent: Add 360 degrees (or 2π radians) to the negative angle to find its positive equivalent. This step is necessary because reference angles are always positive.

Subtract from 180 degrees (or π radians): Once you have the positive equivalent, subtract it from 180 degrees (or π radians). This step helps us find the angle that is closest to the x-axis (or the positive x-axis) while still maintaining the same trigonometric ratios.

For example, let's say we have a negative angle of -120 degrees. To find its reference angle:

Positive equivalent: -120 + 360 = 240 degrees

Subtract from 180: 180 - 240 = -60 degrees

Therefore, the reference angle of -120 degrees is 60 degrees.

In summary, to find the reference angle of a negative angle, first, determine the positive equivalent by adding 360 degrees (or 2π radians). Then, subtract the positive equivalent from 180 degrees (or π radians) to obtain the reference angle.

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Answer:

a. this b>9 B. the first one C. the second one

Step-by-step explanation:

D is the first one

Answer:

54 degrees

Step-by-step explanation:

will edit explanation later

Answer:

3r^6

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Answer:

x=35

Step-by-step explanation:

A pentagon's sum of interior angles is 540 degrees.

Now, we can set up an equation.

(4x - 57) + (3x + 15) + 4x + (2x - 3) (3x + 25) = 540

Combine similar terms

16x - 20 = 540

16x = 560

x = 35

Answer:

210?

Step-by-step explanation:

210 has factors of 2, 3, 5, and 7

The probability of getting all 7 answers correct is 0.00128%..

(a) To determine the number of possible answer sequences for the seven multiple-choice questions, each with five possible answers, we need to calculate the permutations.

Since there are 5 choices for each of the 7 questions, you will use the multiplication principle:
5 (choices for Q1) * 5 (choices for Q2) * ... * 5 (choices for Q7)

This can be simplified as:
5^7 = 78,125

So, there are 78,125 possible answer sequences for the seven questions.

(b) To find the probability of getting all seven answers correct when guessing, we need to consider that there is only one correct answer sequence out of the total possible sequences. The probability of guessing correctly can be calculated as follows:

Probability = (Number of correct sequences) / (Total number of sequences)

In this case, there is only one correct sequence, and we found there are 78,125 total sequences.

Probability = 1 / 78,125 = 0.0000128

So, the probability of getting all seven answers correct when guessing is approximately 0.0000128 or 0.00128%.

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High-low or least squares regression analysis should only be done if a scatter plot depicts linear cost behavior.

A scatter plot is a graphical representation of data points, with the x-axis representing the independent variable (such as the level of production) and the y-axis representing the dependent variable (such as the cost). Linear cost behavior means that the relationship between the independent and dependent variables can be approximated by a straight line. In other words, as the independent variable increases or decreases, the dependent variable changes proportionally.

To determine if a scatter plot depicts linear cost behavior, you need to visually examine the data points. If the points appear to align closely along a straight line, it indicates a linear relationship. However, if the points are scattered and do not follow a clear pattern, it suggests non-linear cost behavior.

High-low or least squares regression analysis are statistical techniques used to estimate and quantify the linear relationship between variables. These methods help determine the equation of the line that best fits the data points and can be used to predict future values. Therefore, performing these analyses is only meaningful when the scatter plot indicates linear cost behavior.

In summary, high-low or least squares regression analysis should only be done if a scatter plot depicts linear cost behavior.

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We can actually deduce here that the type of measurement scale that is used for operating system is: Nominal scale.

A nominal scale is actually known to be a measurement scale whereby numbers are used as “tags” or “labels” only in order to identify, locate or classify an object.

This measurement scale actually deals only with non-numeric variables. It can be used where numbers have no value.

Other measurement scales include:

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Answer: 2944

Step-by-step explanation:

Round 5423.308 to 5423. Round 2478.89 to 2479. Subtract to get 2944.

Another way is to subtract first, and then round, but this doesn't work sometimes, so don't use this technique for any other questions.

Answer:3048.7804878

Step-by-step explanation:

I took the same test p.s. you may need to round.

The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

The statement that is true is: d. All of these are true.Explanation:A study may have various sources of variability, including participant selection, the setting in which the study is conducted, and the measure used. The following options are as follows:a. The study may be affected by a situational variable.b. The construction noise may contribute to variability in test scores.c. The study has a confounding variable. The groups differ in the time they are to report to the testing room.d. All of these are true.Therefore, all of these options are true. For example, the study may be affected by a situational variable if a natural disaster or other unforeseen event happens that causes the study to be disrupted. In this case, the study was disrupted by a noisy construction crew, which may have contributed to variability in test scores. The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

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The student would use the following step for the proof

Show that the solutions to \(7x - 8y = 6\) and \(8x - 5y = 11\) is the same as the solution of the original system

The system of equations is given as:

\(x + 3y = 5\)

\(7x - 8y = 6\)

Add both equations

\(x + 7x + 3y- 8y = 5 + 6\)

\(8x - 5y = 11\)

So, the new system of equations would be:

\(7x - 8y = 6\)

\(8x - 5y = 11\)

To prove that both equations would have the same solution, the student has to solve for x and y in both systems

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Answer:

1/3 is answer.

I hope you got it. I had added solved answer too.

plz mark brainliest

Answer:

39m

Step-by-step explanation:

We take 1950 divided by 30 = 39m

Answer:

The area of the walls of the rectangular room is (2 * 10 * 8) + (2 * 8 * 10) - (2 * 3 * 3) - (2 * 2 * 4) = 128 - 12 - 16 = 100 m².

Therefore, the height of the room is 1950/50 = <<1950/50=39>>39 meters.

Step-by-step explanation:

#1 is a. 11.25

#2 is h. 375

#3 is B 82.50