If cos theta = 0.3090, which of the following represents approximate values of sin thetha for 0 degrees <90 degrees?
A. sin thetha =0.9511;tan theta = 0.3249
B.sin thetha =0.9511 ;tan thetha =3.0780
C. sin thetha 3.2362 ; tan thetha=0.0955
D. sin thetha = 3.2362;tan thetha=10.4731

Answer:

Hi! The answer to your question is [tex]3.05[/tex]

Step-by-step explanation:

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Answer:

701

Step-by-step explanation:

At the end of 5 years, your savings will have grown to $701.

You will have earned in $201 in interest.

answer.

Based on the formula, we can say that the margin of error will be reduced if the sample size is increased.

To obtain the smallest margin of error with 99% confidence, a sample size of 1689 would be needed.

A margin of error refers to the degree of error that may arise due to chance when attempting to estimate a population parameter such as a mean. It is calculated as the product of a critical value, a standard deviation, and a confidence interval, then divided by the square root of the sample size.

N is the sample size, which refers to the number of items included in the sample from the population. A larger sample size would be beneficial since it lowers the margin of error. When the sample size rises, the standard error of the mean decreases, implying that we are more confident in our estimate of the population mean. A smaller margin of error is desirable since it results in a more precise estimate of the population parameter.

The formula for the margin of error is given by:

Margin of Error = (Critical Value) (Standard Deviation) / sqrt(N).

To obtain the smallest margin of error with 99% confidence, a sample size of 1689 would be needed. The formula for the sample size calculation for this scenario is:

N = [(Zα/2)σ / E]²

Where, Zα/2 = 2.58, σ is the standard deviation, and E is the margin of error.

Using Zα/2 = 2.58 for a 99% confidence interval and the smallest possible margin of error to obtain a sample size for which the margin of error is minimized, we have:

N = [(Zα/2)σ / E]² = [(2.58)σ / E]²

Since the goal is to minimize the margin of error, we use the smallest possible value for E:1.

Therefore, N = [(2.58)σ / 1]²2.

Solving for N:

N = 6.6564σ²

To obtain the smallest margin of error with 99% confidence, we must solve for the smallest possible value of N that satisfies the above equation. We obtain:

N = 6.6564σ²

We don't have any information about the standard deviation, σ, in the given question, so we can't solve for N.

However, based on the formula, we can say that the margin of error will be reduced if the sample size is increased.

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Answer:

Step-by-step explanation:

Look at the graph, look at homework and then look at the number right outside of it.

The correct statement regarding the residual plot in this problem, and whether the line of best fit is a good fit, is given as follows:

Yes, the points have no pattern.

For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, hence it is defined by the subtraction operation as follows:

Residual = Observed - Predicted.

Hence the graph of the line of best fit should have the smallest possible residual values, and no pattern between the residuals.

As there is no pattern between the residuals in this problem, the line is in fact a good fit and the first option is the correct option.

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Answer:

im pretty sure its 69

Step-by-step explanation:

im not joking im pretty sure both angles are 69 because of the triangle formula

Answer:

I have actually done this before, I got it right and I chose C!

hope this helps. love u guys!

Answer:

The 4th answer choice

Explain:

195 divided by 3 is 65. Then the diameter of 307 needs to be divided by 2 to get the radius. Now take the radius and square it to get 23562.25. Now times 3.14. Lastly, multiply by the 65 to get 4809055.225. Hope that helps! :)

The answer that you are looking for is b) 5(a – 2)(a – 4). In order to factor the formula, we must first locate two numbers whose sum is equal to -30 and whose product is equal to 40. Both constraints are met by the values -4 and -10, and as a result, we are able to factor the statement as 5(a – 2)(a – 4).(option b)

The following procedures can be used by us while factoring polynomials:

Find two numbers that, when added together, give you the coefficient of the middle term, and then multiply those two values by themselves to get the constant term.

Create the expression as the product of two binomials, with each binomial having one of the two numbers discovered in step 1. Write the equation as a product of two binomials.

Eliminate any factors that are frequent.

In this particular instance, the coefficient of the intermediate term is -30, while the value of the constant term is 40. When added together, the numbers -4 and -10 equal -30, and when multiplied together, they equal 40. Therefore, the expression can be factored as 5(a minus 2)(a minus 4).

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Answer:

4x - 3.4xy

Step-by-step explanation:

x(4 - 3.4y)

4x - 3.4xy

Answer:

100-47=53 so 53$ profit

Step-by-step explanation:

Answer:

r=7 my

answer needs to be 20 characters long

Answer:

the first plotting was correct.

Step-by-step explanation:

the values will be arranged in an ascending order from their roots which are the first digit

Answer:

0.0129449838188

Answer:

12 inches

Step-by-step explanation:

Ahmed received a box of gifts. The box is a rectangular prism with the same height and width, and the length

is twice the width. The volume of the box is 3,456 in? What is the height of the box?

Volume of a Rectangular pyramid = Length × Width × Height

From the above question

Height = Width = x

Length = 2 × Width

Length = 2x

Volume = 3,456 cubic inches

Hence,

3,456 = 2x × x × x

3456 = 2x³

x³ = 3456/2

x³ = 1728

Cube root both sides

Cube root(x³) = cube root (1728 cubic Inches)

x = 12 inches

Therefore, the height is 12 inches

Width, Height and Length of rectangular prism are 12, 12 and 24 inch respectively.

Width of rectangular prism = a

Height of rectangular prism = a

Length of rectangular prism = 2a

Volume of the rectangular prism = (l)(b)(h)

Volume of the rectangular prism = (2a)(a)(a)

3,456 = 2a³

a³ = 1,728

a = 12 inch

So,

Width of rectangular prism = 12 inch

Height of rectangular prism = 12 inch

Length of rectangular prism = 2(12)

Length of rectangular prism = 24 inch

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The solution to the problem is `{5, 10, 15, 20, 25, 30}`.

The error message "syntax error, unexpected" is a common message you might encounter when there is a syntax error in your code.

This error message often points to an unexpected symbol or typo in your code. For instance, in the context of a code snippet like this, such an error message could be prompted due to an invalid command or misspelling, or a misused symbol or expression.

Also, another likely cause could be an incorrect use of a function or a non-existent variable or keyword. Hence, to solve the error message, you might need to double-check your code and fix any errors that could cause such an issue. Now, let's answer the question that follows: Given the universal set, S, as;`S = {5, 10, 15, 20, 25, 30}` and the subsets A and B as; A = {5, 10, 15, 20} B = {15, 20, 25, 30}.

To list the elements in the set (AUB) we need to find the union of A and B. The union of two sets A and B is a set of all the elements that are either in A or in B or in both. That is, `AUB = {x: x ∈ A or x ∈ B}`

Therefore, the union of sets A and B is the set `AUB = {5, 10, 15, 20, 25, 30}`

Thus, the list of elements in the set (AUB) is:`{5, 10, 15, 20, 25, 30}` Hence, the solution to the problem is `{5, 10, 15, 20, 25, 30}`.

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To accurately complete the proof, the angles that can be filled in are: BCD and CDA; ABC and BAT.

Let's go step by step to understand why these angles are congruent. Given that segment AB is parallel to segment DC and segment BC is parallel to segment AD, we extend segment AB to point P above point B and extend segment AD to point T to the left of point A.

According to the Alternate Interior Angles Theorem, angles BCD (angle at point C) and CDA (angle at point D) are congruent. This is because these angles are formed by a transversal (segment AD) intersecting two parallel lines (AB and DC).

Next, applying the Corresponding Angles Theorem, angles ABC (angle at point A) and BAT (angle at point T) are congruent. This is because these angles are corresponding angles formed by a transversal (segment AB) intersecting two parallel lines (AD and BC).

By the Transitive Property of Equality, we can conclude that angle ABC is congruent to angle CDA. Therefore, opposite angles of parallelogram ABCD are congruent, and the proof is complete.

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The probability that the next student he sees will be a boy with brown eyes is 25%. All of them are the exact same so 100 divided by 4 is 25.

While factoring the given equation, the mistake occurred in Step 1 (option d.)

Upon reviewing the steps, we can see that the student made a mistake in Step 1. The factorization of the polynomial should be (x + 5)(x + 9), not (x + 5)(x - 9).

The correct factorization should be:

[tex]x^2 + 14x + 45 = (x + 5)(x + 9)[/tex]

The mistake occurred when the student incorrectly wrote (x - 9) instead of (x + 9) as one of the factors.

As a result, the subsequent steps are also affected. In Step 2, the student incorrectly set x - 9 = 0 instead of x + 9 = 0. This leads to an incorrect value in Step 3, where the student states that x = 9 instead of the correct value x = -9.

Therefore, the student made a mistake in Step 1, which caused subsequent errors in Step 2 and Step 3. The correct answer is d. The mistake occurred in Step 1.

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A subspace must satisfy three conditions: closure under addition, closure under scalar multiplication, and containing the zero vector. Therefore, the correct statement is B. W is a subspace of P2.

In order to determine whether statement A or B is true, we need to check the subspace criteria.

Let's analyze the statements:

A. W is not a subspace of P2 because 0 € W.

If 0 € W, then W does not contain the zero vector. However, the zero vector is the polynomial 0 + 2(0)x + (0)x^2 = 0, which is an element of W. Thus, statement A is false.

B. W is a subspace of P2.

For W to be a subspace, it needs to satisfy all three subspace criteria. Let's check each criterion:

Since W satisfies all three subspace criteria, statement B is true.

Therefore, the correct statement is B. W is a subspace of P2.

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sec 290° = 1/cos 110°= -2.9238.

To find the value of sec 290° using a reference angle, we first need to determine the reference angle for 290°.

The reference angle is the acute angle formed between the terminal side of the given angle (290°) and the x-axis. To find the reference angle, we subtract the nearest multiple of 180° from the given angle:

Reference angle = 290° - 180° = 110°

Now, we can express sec 290° in terms of the secant of the reference angle (110°). The secant function is defined as the reciprocal of the cosine function:

sec(x) = 1/cos(x)

Therefore, sec 290° can be written as:

sec 290° = 1/cos 110° = -2.9238.

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Given

Annual profits of four years $8 million, $3 million, $2 million, and $9 million.

In the fifth year, it reported a loss of $7 million.

To find:

The mean annual profit.

Solution:

Formula for mean is:

[tex]\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}[/tex]

Annual profits are $8 million, $3 million, $2 million, $9 million and -$7 million. Here negative sign represent loss.

So, the mean annual profit is:

[tex]\text{Mean}=\dfrac{8+3+2+9+(-7)}{5}[/tex]

[tex]\text{Mean}=\dfrac{22-7}{5}[/tex]

[tex]\text{Mean}=\dfrac{15}{5}[/tex]

[tex]\text{Mean}=3[/tex]

Therefore, the  mean annual profit is $3 million.

Answer:

the new ratio of white, red and blue balls is 6:2:1

Step-by-step explanation:

The computation of the new ratio is shown below:

If you have 10 red balls, so the blue balls is in proportion of 3:2 that means 15 would be the blue balls. In addition to this, the while balls is in proportion 8:2 = 4:1 so there is a 40 white balls

Now if 10 white and 10 blue balls would be eliminated

So there is 30 white, 10 red, 5 blue bals

Also

30 = 5 × 6

And,

10 = 5 × 2

so the new ratio of white, red and blue balls is 6:2:1

To solve this problem, we can use the grating equation:

m * λ = d * sin(θ)

Where:

m is the order of the fringe

λ is the wavelength of light

d is the slit spacing (distance between adjacent slits)

θ is the angle of the fringe

In this case, we're given:

m = 3 (third-order fringe)

θ = 24.0°

We need to calculate the slit spacing (d) using the information that the grating has 3200 slits per cm. First, we convert the number of slits per cm to the slit spacing in meters:

slits per cm = 3200

slits per m = 3200 * 100 = 320,000

Now we can calculate the slit spacing (d):

d = 1 / (slits per m)

d = 1 / 320,000

Now, let's substitute the given values into the grating equation and solve for λ (wavelength):

m * λ = d * sin(θ)

3 * λ = (1 / 320,000) * sin(24.0°)

λ = (1 / (3 * 320,000)) * sin(24.0°)

Using a calculator, we can calculate the value of λ:

λ ≈ 5.79 × 10^(-7) meters or 579 nm

Therefore, the wavelength of light for which the grating with 3200 slits per cm produces a third-order fringe at a 24.0° angle is approximately 579 nm.

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There are 28 different bit strings of length 8 that satisfy the condition of having two zeros that are never together.

To count the number of bit strings of length 8 with two zeros that are never together, we can use the concept of combinations.

First, let's consider the possible positions for the two zeros. The zeros cannot be adjacent to each other, which means they must be placed in non-adjacent positions in the string.

Since there are 8 positions in the string, we can choose 2 positions for the zeros in C(8, 2) ways. This gives us the number of ways to select the positions for the zeros.

Once we have chosen the positions for the zeros, the remaining 6 positions must be filled with ones. There is only one way to do this, as all the remaining positions will be filled with ones.

Therefore, the total number of bit strings of length 8 with two zeros that are never together is equal to C(8, 2) = 28.

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Answer

328,268.2 mm cubed is correct!

Step-by-step explanation:

If you use the formula V=πr²h with these steps:

1. Calculate the area of the base (which is a circle)

2. use the equation πr² where r is the radius of the circle.

3. Then, multiply the area of the base by the height of the cylinder

4. The volume is found!

Answer:

328,268.2 cubic millimeters

Step-by-step explanation:

I did it on edge

Answer:add 11 on both sides sorry

Answer: subtract 11 from both sides

Step-by-step explanation: this was an assigned assignment for me two days ago

Answer:

circle area = 50.24 units²

Step-by-step explanation:

circle area = πr² = 3.14(4²) = 3.14(16) = 50.24 units²

a) The expression for total revenue is:

[tex]R(x) = \int MR(x) dx = \int (205 -0.5x^2) dx = 205x - 0.25x^3[/tex]

The demand function is:

[tex]x = R^{-1}(R) = \frac{205}{0.25R + 1}[/tex]

b) The expression for the total cost function is:

[tex]C(x) = \int MC(x) dx = \int (85 +0.7x^2) dx = 85x + 0.21x^3 + 10[/tex]

c)The maximum profit, is 1079.56

a) Total revenue is the integral of marginal revenue. Thus, expression for total revenue is:

[tex]R(x) = \int MR(x) dx = \int (205 -0.5x^2) dx = 205x - 0.25x^3[/tex]

The demand function is the inverse of the total revenue function:

[tex]x = R^{-1}(R) = \frac{205}{0.25R + 1}[/tex]

b) Total cost is the integral of marginal cost:

[tex]C(x) = \int MC(x) dx = \int (85 +0.7x^2) dx = 85x + 0.21x^3 + 10[/tex]

c) Profit is total revenue minus total cost:

P(x) = R(x) - C(x) = 205x - 0.25x³ - (85x + 0.21x³ + 10) = 120x - 0.46x³ - 10

To find the maximum profit, we need to find the point where marginal profit is zero. Marginal profit is the derivative of profit:

P'(x) = 120 - 1.38x² = 0

Solve for x:

120 - 1.38x² = 0

1.38x²  = 120

x² = 120/1.38

x = √(120/1.38)

x = 9.33

We find that the maximum profit is achieved when x = 9.33. Thus, the maximum profit:

P(9.33) = 120(9.33) - 0.46(9.33)³ = 1079.56

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Answer:

Square.

Step-by-step explanation:

A square is a rectangle, but a rectangle is not a square.

Answer:

A square

Step-by-step explanation:

The file below can help you out understand the properties of the square better!