From the measurements of the legs of a right triangle measuring 3cm, 4cm and the hypotenuse of the same 5cm, calculate the measure of its internal angles using the trigonometric ratios sine, cosine and tangent. Can someone help me please

In the given figures of the triangles , the value of x is equal to:

a. In the first figure , value of x =6.

b. In the second figure , value of x = 11.

As given in the question,

In the given figures of the triangles,

First figure:

Ray bisects the angle and intersect on the opposite side of a triangle.

Using Angle bisector theorem,

21/ 14 = 9/ x

Simplify it to get the value of x,

21x = (14) × 9

⇒ x = (14 × 9)/ 21

⇒ x= 6

Second figure:

Line divides the two adjacent sides of the triangle into proportion,

40 /8 = 55 /x

Simplify it to get the value of x,

40x = 55 × 8

⇒ x = (55 ×8) /40

⇒ x= 11

Therefore,for the given figures of the triangles , the value of x is equal to:

a. In the first figure , value of x =6.

b. In the second figure , value of x = 11.

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Answer:

Option 1 : x² + 4x + 4

Option 2 : x² + 20x + 100

Option 3 : x² + 6x + 9

Step-by-step explanation:

Looks like you got two of them right, one wrong and one missing. The first option is also a perfect square.

Here is how it evaluates:

If a trinomial expression can be a perfect square then it can be of the form (x + a)^2 = x² + 2ax + a² . Therefore the last term must be a perfect square of a number and the second term is twice the first term x and a = 2ax

So examining the choices we get

Answer:

where are the functions below? or should they be equated? like f(x) with the g(x)??

The percentage that each expense has out of the total budgeted amount of $45,000  have been computed, where insurance has 8.00%, Utilities 7.00% and so on.

What is a percentage?

In this case, percentage refers to proportion of each expense from the total budgeted expense of $45,000, which means that in order to total budgeted expense of $45,000, which means that in order to compute the percentage of total budgeted for each expense category, we divide the expense by the total budgeted expense

Insurance=$3600/$45,000=8.00%

Utilities=$3150/$45,000=7.00%

Clothing=$2700/$45000=6.00%

Transportation=$1350/$45000=3.00%

Entertainment=$5400/$45000=12.00%

Savings=$4050/$45000=9.00%

Taxes=$7200/$45000=16.00%

Food=$7650/$45000=17.00%

Housing=$9900/$45000=22.00%

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The correct answer is -|x - 2| = -5

The angle shown above measured in radians counterclockwise from an initial ray pointing in the 3-o'clock direction to a terminal ray pointing from the origin to (2.25, -1.49) is 5.65 radians.

We use the formula,

θ=tan^{-1} [{y}/{x}]

where y=-1.49 and x=2.25

Substituting the values of x and y in the formula above

θ=tan^{-1} [{y}/{x}]

θ=\tan^{-1} [{-1.49}/{2.25}]

θ=5.65 radians

Therefore, the measure of θ (in radians) is approximately 5.65 radians.

We found that the measure of θ (in radians) is approximately 5.65 radians by using the formula θ=tan^{-1}[{y}/{x}]

where y=-1.49 and x=2.25

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An outside angle is equal to the sun of the two opposite inside angles.

The given inside angle is 75, the angle next to it is also 75 ( because there is a single line through the red arc, this means the angles are identical).

W = 75 + 75

W = 150 degrees.

5/9 of 54 are the ones which have chocolate, so we need to multiply the fraction by 54

5/9 * 54 = 30

Since 30 pieces of candy have chocolate, then 24 don't have it. 2/3 of the last number are the ones which have gum, multiply 2/3 by 24 to get the answer:

2/3 * 24 = 16.

The answer is: 16 pieces of candy have gum

The given sequence is arithmetic

Given,

first term (a) = 7

Common difference (d) = 7

number of terms (n) = 7

we know,

Tn = a + (n-1) × d

T7 = 7 + (7-1) × 7

T7 = 7 + 6 × 7

T7 = 7 + 42

Therefore T7 = 40

The net amount of imports is RM 175 million of GDP of Country A. Option  C is the correct answer.

The total amount of money spent during a specific time period by firms, consumers, and the government may be used to compute GDP.

Calculation:

GDP = personal consumption + gross investment + govt consumption + net exports + imports

Therefore, Import = 175

Here the total amount of imports is RM 175 million. Therefore, Option  C is the correct answer.

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The complete question is, "The information below contains information on Country A.

                                                  RM(in millions)

Gross Domestic Product              1250

Consumer Spending                    500

Investment Spending                   350

Govt Spending                              350

Export                                             225

What is the amount of imports?

A. RM 800 million

B. RM 135 million

C. RM 175 million

D. RM 575 million"

Answer:

49min

Step-by-step explanation:

Answer:

c. 49min

Step-by-step explanation:

Answer:

The war provided Great Britain enormous territorial gains in North America, but disputes over subsequent frontier policy and paying the war's expenses led to colonial discontent, and ultimately to the American Revolution.

Step-by-step explanation:

The coordinate of the point is given as: (x,y) = (28/5, 2/5)

Given

A = (4,-2)

B = (12,-10)

Ration = 1/4

We apply the following formula:

(x,y) = [((mx2 + nx1)/(m+n)), ((my2 + ny1)/(m+n)),

Where:

m and n are the ratios. That is:

m/n = 1/4
m : n = 1 : 4

Where A(4,-2) and B(12,10); we have

(x,y) = [((1 * 12 + 4x4)/(4+1)), ((1*10 + 4 *-2)/(4+1)),
(x,y) = (12 + 16/5), ((10-8)/5))

Simplified, this yeild:

(x,y) = (28/5, 2/5)

Thus, the coordinate of the point is (x,y) = (28/5, 2/5).

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The missing values for the exponential function are x = 1 and y = 12, which corresponds to option b. (12, 8) in the given answer choices.

From the given table, we can observe that the values of y are increasing as x increases. This indicates an exponential growth pattern. To find the missing values for the exponential function, we can use the general form of an exponential function, which is y = a * b^x, where a represents the initial value and b represents the growth factor.

To find the initial value (a), we can substitute one of the points (0, 18) into the equation and solve for a:

18 = a * b^0

18 = a * 1

a = 18

Next, we can use another point (-2, 8) to find the growth factor (b):

8 = 18 * b^(-2)

b^(-2) = 8/18

b^(-2) = 4/9

Taking the square root of both sides:

b = √(4/9) = 2/3

Finally, we can substitute the values of a and b into the equation to find the missing values for x = 1:

y = 18 * (2/3)^1

y = 18 * 2/3

y = 12

Therefore, the missing values for the exponential function are x = 1 and y = 12, which corresponds to option b. (12, 8) in the given answer choices.

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Answer:

for 1st depositsx

p=$36000

r=2.6%

t=9years

compound amount =p(1+r/100)^t

=$36000(1+2.6/100)^9=$45355.37

for another deposit.

p=$36000

r=2.6%

t=9years

simple amount

=ptr/100=36000×2.6×9/100=$8424

total amount =$8424+$36000=$44424

the sum of the balances of these accounts at the end of 9 years=$44424+$45355.37=$89,779.37

Linear is basically a straight line. It can be increasing or decreasing.

Decreasing is when on the graph, when x increases, y decreases.

On the graph, there are two parts that are decreasing. Between -2 and 0, and Between 2 and 4. Let's look at these two.

- For between -2 and 0, the line is not straight. Therefore, it is decreasing and nonlinear. We can check if this is the right answer.

- For between 2 and 4, the line is decreasing. However, the line is straight, which means it is decreasing but linear.

Your final answer is B.

Answer:

To find the missing side we need to calculate the sum of the two given sides and then subtract that from the perimeter.

7a - 11b - (2a + b + a - 9b)

= 7a - 11b - (3a - 8b)

= 7a - 3a - 11b + 8b

= 4a - 3b

To determine the minimum total sample size needed to detect a desired effect of 50 mg/l lower than the true mean water hardness of the stock ponds, you would use a significance level of 0.05 and a power of 0.8. This ensures the statistical test has adequate sensitivity to identify the effect while maintaining a low risk of false-positive findings.

The minimum total sample size needed to detect the desired effect of 50 mg/l is lower than the true mean water hardness of the stock ponds, a significance level of 0.05 and a power of 0.8 are required. The sample size calculation requires knowledge of the expected effect size, variability of the data, and significance level

. Using statistical software, the calculation can be done to obtain the minimum sample size required to achieve the desired level of significance and power. It is important to ensure that the sample size is sufficient to detect the desired effect size and to minimize the risk of a type II error.

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The reasoning provided, "If you build it, they will come. You build it. Therefore, they will come," is an example of deductive reasoning.

Deductive reasoning is a logical process that involves drawing specific conclusions based on general principles, premises, or known facts. In this example, the premise is "If you build it, they will come," which establishes a cause-and-effect relationship. The subsequent statement, "You build it," serves as a confirmation of the premise. From these premises, the conclusion is drawn: "Therefore, they will come." The conclusion logically follows from the premises, making it an example of deductive reasoning.

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Answer:

Inequality:

$14.5 > $9

OR

Peter's earnings > Cindy's earnings

Step-by-step explanation:

Number of hours Peter works every day = 3 hours

Number of hours Cindy works every day = 2 hours

Earnings per hour for both of them = $4.50

Total daily Earnings for Peter = Number of hours worked by Peter multiplied by hourly earnings of Peter

Total daily Earnings for Peter = 3 \times $4.50 = $13.5

Total daily Earnings for Cindy = Number of hours worked by Cindy multiplied by hourly earnings of Cindy

Total daily Earnings for Cindy = 2 \times $4.50 = $9

Comparing the daily earnings of Peter and Cindy, we can see that Earnings for Peter is greater than that of Cindy.

Inequality:

$14.5 > $9

OR

Peter's earnings > Cindy's earnings

Answer:

nobodiuuytddesbjegbj

The fraction of data between 25 and 50 as a fraction of the total data is 5/12.

To find the fraction of data between 25 and 50 as a fraction of the total data, we need to know the minimum and maximum values of the data set, as well as its range.

Let's suppose that the data set ranges from a minimum value of 10 to a maximum value of 70. Therefore, the range of the data set is:

Range = Maximum value - Minimum value

Range = 70 - 10 = 60

Next, we can determine the range of the data between 25 and 50:

New Range = 50 - 25 = 25

To find the fraction of the data between 25 and 50 as a fraction of the total data, we can divide the new range by the total range:

Fraction = New Range / Total Range

Fraction = 25 / 60

Simplifying this fraction by dividing both numerator and denominator by 5, we get:

Fraction = 5 / 12

This means that approximately 41.7% of the data set is between 25 and 50.

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By linking major premises with specific minor premises, I would determine the bike target segments that best align with the company's goals and market opportunities.

Inductive Critical Reasoning in Choosing Bike Target Segments:

Using inductive critical reasoning in choosing the bike target segments involves drawing conclusions based on specific observations or data. In this case, I would have collected data and analyzed it to identify patterns or trends that could inform my decision. Here's how the process would unfold:

a. Sample Selection: I would have selected a sample of potential customers from various demographics and locations, ensuring representation from different regions and age groups. This diverse sample would provide a comprehensive understanding of customer preferences.

b. Data Analysis: I would have gathered data on customer preferences, buying behavior, and market trends related to the Mountain, Recreation, and Speed bike segments. This data could include survey responses, market research reports, competitor analysis, and sales data.

c. Pattern Identification: Through careful analysis, I would search for common patterns or trends within the data. This could involve identifying preferences for specific bike features, market demand, and customer behavior within each segment.

d. Conclusions: Based on the identified patterns and trends, I would draw conclusions about the potential viability and market demand for each target segment. This would help me make an informed decision on which segments to prioritize for my company's bike production.

Inductive critical reasoning involves collecting data, analyzing patterns, and drawing conclusions based on observed trends. By carefully examining customer preferences and market data, I would identify the most promising bike target segments for my company.

Deductive Critical Reasoning in Choosing Bike Target Segments:

Using deductive critical reasoning in choosing the bike target segments involves starting with general premises and applying logical reasoning to reach specific conclusions. Here's how the process would unfold:

a. Major Premises: I would establish major premises based on market research, industry knowledge, and customer insights. These premises could include statements such as "Customers value performance and speed in the Speed segment" or "Mountain biking is popular among adventure-seeking outdoor enthusiasts."

b. Minor Premises: I would then gather minor premises specific to each target segment. For example, "Mountain biking offers challenging terrains and off-road capabilities" or "Recreational biking appeals to casual riders looking for comfort and leisure."

c. Logical Reasoning: By applying logical reasoning, I would link the major and minor premises to deduce which target segments align with the company's goals, capabilities, and market opportunities. This would involve assessing how each target segment fits within the broader industry landscape and aligns with customer needs.

d. Conclusions: Based on the logical deductions made from the major and minor premises, I would arrive at a decision on the bike target segments that offer the greatest potential for success and align with the company's strengths and market opportunities.

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According to the given statement, 3x^3y^4 represents the length of the room.

Its length w is calculated using the formula h = A/w if you have an area A and a width w. Its length can be determined using the formula h = P/2w if you know its perimeter (P) and width (W). The length is given by h = (d2w2) if the diagonal d and width w are present.

Four sides, four corners, and four 90° right angles make up the closed, 2-D shape of a rectangle. A rectangle has parallel, equal sides on either side.

The area of a square box is length x width, so that we can set up the calculation:

length x (2x³y²) = 6x6y8

To find the length of the court, we can divide both sides by 2x³y²:

length = (6x6y8) / (2x³y²)

so the length of a room is represented by 3x^3y^4

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The complete question is -

Oscar's rectangular room has an area of 6x^6y^8 square units. If the width of Oscar's room can be represented by 2x^3y^2, which of the following represents the length of the room?​

(a)3x^2y^4

(b)3x^3y^4

(c)12x^9y^10

(d)12x^18y^16

Answer:

6 items are being purchased

Step-by-step explanation:

Given that  variable p represents the number of items being purchased, and the variable t represents the time required to ring up the customer, If it takes 44 seconds to ring up a customer then the number of items being purchased may be computed by substituting the value of t into the given equation

t = 4p + 20.

Using t = 44

44 = 4p + 20

collect like terms or subtract 20 from both sides

44 - 20 = 4p

24 = 4p

Divide both sides by 4

24/4 = p

p = 6

The correlation coefficient (r) for the given data is 0.926, indicating a strong positive linear relationship between temperature (X) and plant growth (Y).

The calculated correlation coefficient of 0.926 indicates a strong positive linear relationship between temperature (X) and plant growth (Y). The correlation coefficient ranges from -1 to 1, where values close to 1 indicate a strong positive correlation. In this case, a value of 0.926 suggests that as temperature increases, the amount of plant growth also tends to increase.

To perform the hypothesis test we compare the p-value to the chosen significance level (typically 0.05). The p-value represents the probability of obtaining a correlation coefficient as extreme as the observed value (or more extreme) if the null hypothesis were true (rho = 0). If the p-value is smaller than the significance level, we reject the null hypothesis in favor of the alternative hypothesis, indicating that there is a significant correlation.

In this case, the p-value is less than 0.05, which means the probability of observing a correlation coefficient as extreme as 0.926 (or more extreme) under the assumption of no correlation is very low. Therefore, we reject the null hypothesis and conclude that there is a non-zero correlation between temperature and plant growth.

Note: The provided equation "y cap = 1.905x + 5.055" and the value "sigma(Z_x middot Z_y) = 8.875" are not directly used in calculating the correlation coefficient or performing the hypothesis test. They may be additional information given for the purpose of further analysis or calculations.

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Answer:

if you are solving for x, x=-36/5+6y/5

if you are solving for y, y=6+5x/6

Step-by-step explanation:

Answer:

55 degrees

Step-by-step explanation:

To solve this problem, all you have to do is 60 + 65 and subtract it from 180. We can do this because those 3 angles create a linear pair.

Answer:  55

Step-by-step explanation:

The 3 angles form a line,  <4   60 and 65.   since it is a line the 3 angles add up to 180

<4 +60 + 65 =180    solve for <4 by subtracting 60 and 65 from both sides

<4 = 55

Give the OTHER guy brainliest please.  I liked his answer.

Answer:

D. Zero product of multiplication

Step-by-step explanation:

The given equation is presented as follows;

Given: x² + 6·x + 8 = 0

By factorization, to find numbers represented by variables, 'a' and 'b', such that  a + b = 6 and a×b = 8, we have, a = 2, and b = 8 as a possible solution by observation

Step 1: (x + 2)·(x + 4) = 0

Given that (x + 2) × (x + 4) = 0, we have

Step 2: x + 2 = 0 or x + 4 = 0, by zero product of multiplication

The zero-product property states that the when two non zero numbers are multiplied, the result is nonzero

Therefore, when two numbers are multiplied, and have a result of zero, for example, i × j = 0, then, either, i = 0, or j = 0

By the zero-product rule, either, (x + 2) = 0, or (x + 4) = 0

Therefore, we have;

Therefore;

Step 3: x = -2 or x = -4

The property of real numbers Felipe's use for step 2 is the Zero product of multiplication.