answer please!!!!!! i need this so i can pass my classes

Therefore , the solution of the given problem of trigonometry comes out to be 2 * sin²(ɵ) * cos²(ɵ)  the claimed identity has been established.

Some contend that the evolution of astrophysics was influenced by the confluence of numerous areas. Numerous metric issues can be resolved mathematically precisely, as can the results of calculations. Trigonometry is the study of the six basic geometric calculations from a scientific perspective. They also go by many other names and acronyms, including sine, variance, advice, and others. (csc).

Here,

The identified person is:

=>  cot²(ɵ) * sin²(ɵ) + tan²(ɵ) * cos²(ɵ)

=>  cot(ɵ) = 1/tan(ɵ)

=> tan(ɵ) = 1/cot(ɵ)

=> (1/tan(ɵ))² * sin²(ɵ) + (1/cot(ɵ))² * cos²(ɵ)

We may square the reciprocals by applying the formula (a/b)² = a²/b²:

=> 1/(tan²(ɵ)) * sin²(ɵ) + 1/(co²(ɵ)) * cos²(ɵ)

=> sin²(ɵ) / tan²(ɵ) + cos²(ɵ) / cot²(ɵ)

=> tan²(ɵ) + 1 = sec²(ɵ)

=> cot²(ɵ) + 1 = csc²(ɵ)

=> sin²(ɵ) / sec²(ɵ) + cos²(ɵ) / csc²(ɵ)

=> 1/cos²(ɵ) = sec²(ɵ)

=> 1/sin^2(ɵ) = csc^2(ɵ)

=> sin²(ɵ) * cos²(ɵ) + cos²(ɵ) * sin²(ɵ)

=> sin²(ɵ) * cos²(ɵ) + sin²(ɵ) * cos²(ɵ)

Step 6 is to group similar terms.

=> 2 * sin²(ɵ) * cos²(ɵ)

And since we've found the original expression, the claimed identity has been established.

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The net income for Griffin's Goat Farm, Inc., was [tex]\$184,340[/tex].

The operating cash flow (OCF) for Kerber's Tennis Shop, we can use the following formula:

[tex]OCF = EBIT + Depreciation - Taxes + \triangle Working Capital[/tex]

where EBIT is earnings before interest and taxes.

Calculate EBIT by subtracting interest expense from operating income:

EBIT = Operating Income - Interest Expense

We do not have the information for operating income, but we can use the fact that interest expense was. [tex]\$165,000[/tex] to calculate EBIT.

EBIT = Interest Expense / (1 - Tax Rate)

= [tex]\$165,000 / (1 - 0)[/tex]

= [tex]\$165,000[/tex]

Calculate the change in working capital (Δ Working Capital). We are told that the company reduced its net working capital investment by [tex]\$69,000[/tex], which means that working capital increased by  [tex]\$69,000[/tex].

Therefore:

[tex]\triangle Working Capital = \$69,000[/tex]

Now, we can calculate OCF:

OCF = EBIT + Depreciation - Taxes + Δ Working Capital

=[tex]\$165,000 + 0 - 0 +\ $69,000[/tex]

=[tex]\$234,000[/tex]

Therefore, the firm’s 2018 operating cash flow (OCF) was [tex]\$234,000[/tex] .

To calculate the net income for Griffin's Goat Farm, we can use the following formula:

Net Income = EBIT - Interest Expense - Taxes

where EBIT is earnings before interest and taxes. We can calculate EBIT as:

EBIT = Sales - Costs - Depreciation

= [tex]\$686,000 - \$332,000 - \$65,000[/tex]

=[tex]\$289,000[/tex]

Next, we need to calculate taxes. We are given a tax rate of 24%, so:

Taxes = Tax Rate x (EBIT - Depreciation)

= [tex]0.24 \times (\$289,000 - \$65,000)= \$56,160[/tex]

Now, we can calculate net income:

Net Income = EBIT - Interest Expense - Taxes

= [tex]\$289,000 - \$48,500 - \$56,160= \$184,340[/tex]

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The measures are given as follows:

11) x = 13.83.

13) KL = 5.34.

The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:

For item 11, we have that the angle of 70º is opposite to the side length of 13, with the hypotenuse x, hence:

sin(70º) = 13/x

x = 13/sine of 70 degrees

x = 13.83.

For item 13, first we must find segment JL, as follows:

tan(51º) = JL/14

JL = 14 x tangent of 51 degrees

JL = 17.29.

Then, segment KL is adjacent to the angle of 72º, while JL is the hypotenuse, hence:

cos(72º) = KL/17.29

KL = 17.29 x cosine of 72 degrees

KL = 5.34.

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Answer:

To write the equation of the line that passes through the points (2, -4) and (0, -4), we can use the point-slope form of a linear equation, which is:

y - y1 = m(x - x1)

Where (x1, y1) is one of the points on the line, and m is the slope of the line.

In this case, both points have the same y-coordinate, which means that the line is horizontal and has a slope of 0. We can choose either point to use in the equation, so let's use (2, -4):

y - (-4) = 0(x - 2)

Simplifying this equation, we get:

y + 4 = 0

y = -4

So the equation of the line that passes through the points (2, -4) and (0, -4) is y = -4, which is a horizontal line at y-coordinate -4.

The given statement "The fallacy of equivocation occurs whenever a word has one meaning in one premise and the same meaning in another premise or the conclusion." is false because it will lead to invalid conclusion.

The fallacy of equivocation occurs when a word or phrase is used in multiple senses within an argument, leading to a misunderstanding or invalid conclusion. This can happen when a word or phrase is used ambiguously, with different meanings in different contexts or definitions.

Equivocation can occur not only between different premises, but also within a single premise or conclusion. To avoid equivocation, it is important to clarify the intended meaning of terms and to ensure that they are used consistently throughout the argument.

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Natalie used for constructing the bar graph is type of writing utensil.

The representation of numerical data using rectangles (or bars) of equal width and varying height is known as a bar graph.

Depending on the distribution and nature of the data, various types of charts or graphs, such as scatter plots, histograms, or box plots, would typically be used to represent the mentioned quantitative variables, such as the price, volume, and weight of each writing utensil.

Natalie probably used the variable "type of writing utensil" for the bar graph based on the information provided. This is due to the fact that a bar graph is a type of chart that uses rectangular bars to represent categorical data. Each bar represents a distinct category or group.

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Answer:

14 hr 32 min (1,477.7 km)

Therefore, the length of segment ST is 8/3 cm, assuming that triangles PTQ and RTS are similar.

Triangles are used in various applications, such as in the construction of buildings, bridges, and other structures, as well as in navigation and surveying. They are also important in various fields of mathematics, including trigonometry and geometry.

Here,

Let's denote the length of segment ST as x, and the corresponding sides in triangle PTQ and RTS as y and z, respectively. We can set up the following proportion:

y / PR = z / RT

Substituting the given values, we get:

y / 12 = z / 14

Now, we can use the fact that triangles PTQ and RTS are similar to set up another proportion involving the length of segment ST:

y / x = z / 16

Substituting the value of y / 12 = z / 14 from the first proportion, we get:

(z / 14) / 12 = z / 16 / x

Simplifying this equation, we get:

z = (14 / 12) * (16 / x) * z

z cancels out on both sides, and we are left with:

x = (16 * RT) / (14 * PR)

Substituting the given values, we get:

x = (16 * 14) / (14 * 12)

= 8/3

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The length of the side b for the right triangle ABC is equal to 5.276, and the measures of angle A and B are 64 and 26 to the nearest degree using the sine rule.

The sine rule is a relationship between the size of an angle in a triangle and the opposing side.

The side length b is derived using the Pythagoras rule as follows:

b = √(12.2² - 11²)

b = 5.276

Using the sine rule;

12.2/sin90 = 11/sinA

A = sin⁻¹(11 × sin90)/12.2 {cross multiplication}

A = 64.4

12.2/sin90 = 5.3/sinB

B = sin⁻¹(5.276 × sin90)/12.2 {cross multiplication}

B = 25.6

Therefore, the length of the side b for the right triangle ABC is equal to 5.276, and the measures of angle A and B are 64 and 26 to the nearest degree using the sine rule.

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Answer:

mAngleW = 130°

Step-by-step explanation:

AngleT is 65°. AngleT cuts off arcUV. So then arcUV is 130°

AngleT is an inscribed angle, so the arc is double the angle.

Since arcUV is 130° then the central angle, angleW is also 130°

Answer: w = ±7

Step-by-step explanation:

To get rid of the square on w, we square root both sides of the equation.

The square root of w^2 is w, and the square root of 49 is ±7.

±7 is your answer.

The total distinguishable ways can the donors be in line is 362,736.

The total number of distinguishable ways:

9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362,880

To subtract the number of in-distinguishable arrangements:

(4! x 3!) + (3! x 2!) = 144

There are 362,736 distinguishable ways in which four donors with type O blood, three donors with type A blood, and two donors with type B blood can be in line.

This is calculated by first determining the total number of distinguishable arrangements, which is 9!.

Then,

The number of indistinguishable arrangements is subtracted from the total.

Which is done by multiplying the number of arrangements for each blood type separately and then adding them together.

The result is then subtracted from the total, leaving the number of distinguishable ways.

The total number of distinguishable ways is:

362,880 - 144 = 362,736

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Mambo needs to save R2,322.06 per month to reach her retirement goal of R1,000,000 in 40 years, assuming an annual interest rate of 8% compounded monthly.

Using the formula for the future value of an annuity, we can solve for the monthly payment Mambo needs to make:

[tex]FV = P * [(1 + r/n)^{(nt)} - 1]/(r/n)[/tex]

where FV is the future value, P is the monthly payment, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.

Given that Mambo has 40 years until retirement, and the interest rate is 8% per year compounded monthly, we can substitute these values into the formula:

[tex]FV = 1,000,000 \\P = ?\\r = 0.08\\n = 12\\t = 40 \\1,000,000 = P * [(1 + 0.08/12)^(12*40) - 1]/(0.08/12)[/tex]

Solving for P, we get:

P = 2,322.06

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--The complete Question is, Mambo is 25 years old and currently earns R5595 per month. She wants to retire at age 65 and wishes to have R1,000,000 by then. Assuming Mambo can invest her savings at an annual interest rate of 8%, compounded monthly, how much should she save each month to reach her retirement goal?--

The question "What are the prices of the computers?" is not a statistical question.

A statistical question is a question that can be answered by collecting and analyzing data. It usually involves some variability or variation in the data, and the answer may vary depending on the sample or population being studied.

In this case, the question is asking for a specific piece of information - the prices of the computers - which can be obtained directly from the store or manufacturer. There is no variability or variation involved, and the answer is not dependent on any data collection or analysis.

Therefore, this question is not a statistical question.

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The proportion of the sample that owns a smartphone was 83%.

The research question asked what proportion of the sample owns a smartphone.

To answer this question, we used a categorical variable called “cell” and created a pie chart with the appropriate percentages. We then determined the percentage of the sample that owns a smartphone and rounded it to the nearest percent.

In this case, the proportion of the sample that owns a smartphone was 83%.Identify the variable needed to answer the research question: Cell (categorical variable)The appropriate numerical summary: Percentage (proportion)A pie chart with the appropriate percentages in StatCrunch.

The percentage of the sample that owns a smartphone. The percentage to the nearest percent. The research question: 83% of the sample owns a smartphone.

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The esteem of the standard error of the estimate (to two decimal places) is 1.34.

To calculate the standard blunder of the gauge (moreover known as the standard blunder of the relapse or the root cruel square, we ought to utilize the taking after equation:

SE = sqrt [ (Σ(y - yhat)[tex]^{2}[/tex]) / (n - k) ]

yhat = 0.471x + 2.606

We too know that there are 5 perceptions, and there's one free variable (x). Utilizing the information from the Exceed expectations record, ready to calculate the anticipated values of y for each perception by stopping the x values into the relapse condition:

yhat1 = 2.696

yhat2 = 3.638

yhat3 = 4.581

yhat4 = 5.524

yhat5 = 6.466

SE = sqrt [ ( (4.75 - 2.696)[tex]^{2}[/tex] + (5.36 - 3.638)[tex]^{2}[/tex]+ (5.95 - 4.581)[tex]^{2}[/tex] + (6.66 - 5.524)[tex]^{2}[/tex]+ (7.03 - 6.466)[tex]^{2}[/tex]) / (5 - 2) ]

SE = sqrt [ (5.3546) / 3 ]

SE = 1.335

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The actual amount of drink made for the third batch, however, was only 8 liters. This implies that the third batch's recipe contained less pineapple.

We are told that each liter of pineapple juice yields the same amount of drink. This is referred to as the "r" ratio. Then:

r = d/p

We can use the provided data to get a table of r values shown in below image form.

The ratio for the first two data points is the same, but it is different for the third. This suggests the drink's recipe changed between the second and third batches.

We can calculate the ratio using the first two data points:

r = d/p = 2/1 = 6/3

So the ratio is 2, which means that we obtain 2 liters of drink for every liter of pineapple juice.

This ratio can be used to calculate the estimated amount of drink for the third batch:

d = r*p = 25 = 10

The actual amount of drink made for the third batch, however, was only 8 liters. This implies that the third batch's recipe contained less pineapple.

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-2x + y = 4 -6x + y = -20 Solve by Substitution : // Solve equation [2] for the variable y [2] y = 6x - 20 // Plug this in for variable y in equation [1] [1] (6x-20) - 2x = 4 [1] 4x = 24

Mean = 13

Variance = 36.2

Rounding to the nearest degree, the angle of depression from the airplane to the airport is 22 degrees.

What is the angles of depression from the airplane to the airport ?

We can see that the angle of depression is the angle between the horizontal ground and the line of sight from the airplane to the airport.

Using the tangent function, we have:

tan(θ) = opposite / adjacent

where opposite = height of airplane = 3 miles, and adjacent = distance from airplane to airport = 7.5 miles.

So, tan(θ) = 3 / 7.5

Taking the inverse tangent of both sides, we get:

θ = tan⁻¹(3 / 7.5) ≈ 22 degrees

Therefore, the angle of depression from the airplane to the airport is approximately 22 degrees (rounded to the nearest degree).

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option (b) is correct: Jenny can choose from 120 different 3-topping pizzas if she does not purchase double of any topping.

Given that a special on a 3-topping pizza.

The topping choices are pepperoni, sausage, bacon, mushrooms, green peppers, and olives.

There are six alternatives for the first topping, five options for the second (since we can't choose the same topping twice), and four options for the third. As a result, the total number of possible 3-topping pizzas is:

6 x 5 x 4 = 120

So option (b) is correct: Jenny can choose from 120 different 3-topping pizzas if she does not purchase double of any topping.

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Answer:   C

Step-by-step explanation:

hope this helped

The answer of this question is above in the picture

The probability of both events happening at the same time: P(green and tails) = P(green) x P(tails) = (1/4) x (1/2) = 1/8

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

1/8.

There are four equally-sized sections on the spinner, so the probability of landing on green is 1/4. There are two equally likely outcomes when flipping a coin, so the probability of landing on tails is 1/2. Since the spinner and coin toss are independent events, we can multiply their probabilities to get the probability of both events happening at the same time: P(green and tails) = P(green) x P(tails) = (1/4) x (1/2) = 1/8.

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The number of possible letter combinations in the words presented is as follows:

CANNON: 2520

BANANA: 120

TOMORROW: 2520

REFERENCE: 20160

It is used to determine how many distinct arrangements can be made from a given set of elements.

1) CANNON: CANNON is made up of seven letters, two of which are identical 'N's. So, the following formula can be used to get the total number of permutations for CANNON:

Total number of permutations = 7! / 2!

= (7 x 6 x 5 x 4 x 3 x 2 x 1) / 2!

= 2520

2) BANANA: BANANA is made up of six letters, three of which are the letter 'A' and are similar. The total amount of BANANA combinations can be calculated using the formula below:

Total number of permutations = 6! / 3!

= (6 x 5 x 4 x 3 x 2 x 1) / 3!

= 120

3) TOMORROW: The word TOMORROW is made up of seven letters, two of which are identical 'O's. Thus, the sum of TOMORROW's permutations can be determined as follows:

Total number of permutations = 7! / 2!

= (7 x 6 x 5 x 4 x 3 x 2 x 1) / 2!

= 2520

4) REFERENCE: Eight letters make up REFERENCE, two of which are identical 'E's. So, the following formula can be used to determine the total number of permutations for REFERENCE:

Total number of permutations = 8! / 2!

= (8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) / 2!

= 20160

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Event "X or Y": A, B, C, E, G. Event "X and Y": C. The complement of event X: D, E, F, G.

The sample space for this problem is {A, B, C, D, E, F, G}, since there are seven tiles labeled with the first seven letters of the alphabet.

Event X: The letter selected comes before "D". Outcomes in this event are A, B, and C.

Event Y: The letter selected is found in the word "CAGE". Outcomes in this event are A, C, E, and G.

Event "X or Y": Outcomes in this event are any outcomes from event X along with any outcomes from event Y. So the outcomes in the event "X or Y" are A, B, C, E, and G.

Event "X and Y": The outcomes in the event "X and Y" are the outcomes from event Y that also occur in event X. So the only outcome in the event "X and Y" is C.

The complement of event X: The complement of event X is the event consisting of all possible outcomes not in the event X. So the outcomes in the complement of event X are D, E, F, and G.

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--The given question is incomplete, the complete question is given

" A tile is selected from seven tiles, each labeled with a different letter from the first seven letters of the alphabet. The letter selected will be recorded as the outcome. Consider the following events. Event X: The letter selected comes before "D". Event Y: The letter selected is found in the word "CAGE". Give the outcomes for each of the following events. If there is more than one element in the set, separate them with commas.

(a) Event "X or Y":

(b) Event "X and Y":

(c) The complement of the event X: "--

Complementary angles form a right angle.

Complementary:

Answer:

Complementary;x= 5

Step-by-step explanation:

Complementary angle of a right angle = 90°

therefore

65 + 5x = 90

5x = 90 - 65

5x = 25

5x/5 = 25/5

x = 5

hence the complementary angle of x = 5

1745 packages of tennis balls can be made from 5235 balls.

Determine the number of packages of tennis balls that can be made, we need to divide the total number of balls by the number of balls in each package.

5235 tennis balls and each package contain 3 balls.

Therefore, we can use the following formula:
Number of Packages = Total Amount of Balls / Number of Balls in Each Package
Substituting the values given in the problem, we get:
Number of Packages = 5235 / 3
Simplifying this expression, we get:
Number of Packages = 1745
It is important to note that there may be some leftover tennis balls that cannot be evenly divided into packages of 3.

Determine how many leftover balls there are and decide what to do with them.

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The expression that represents the balance in the account is 375 - 2x

Starting with a balance of $350, the customer makes two withdrawals, one of which is $50 more than the other.

After these two withdrawals, the balance of the account is:

350 - x - (x + 50)

Simplifying this expression, we get:

300 - 2x

Next, the customer makes a deposit of $75, so we can add this to the current balance:

75 + 300 - 2x

So, we have

375 - 2x

Hence, the expression is 375 - 2x

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