A) Construct a triangle given its perimeter 120mm long and sides are in the ratio of 3:2:4.
(B) State the length of each sides of the triangle constructed.
(C) Name the triangles according to its angle.

Answer:

15.6

step by step explanation:

5-44• (-0.75) - 18 ÷ 2/3 • 0.8 + (-4/5)

= 5 + 33 - 27*0.8 - 0.8

= 5 + 33 -21.6 - 0.8

= 15.6.

The x-value that makes the set of ratios equivalent include:

6      ⇒  2x : 48 = 3 : 12.

9      ⇒  2 : 3 = 6 : x

16     ⇒  12 : 15=x: 20

24     ⇒  4 : 7 = x : 42

In Mathematics and Geometry, a direct proportion simply refers to a mathematical expressions which is typically used to represent the equality of two (2) ratios.

By applying direct proportion to the given mathematical expressions, we have the following mathematical equation:

2 : 3 = 6 : x

2/3 = 6/x

By cross-multiplying, we have the following:

2x = 18

x = 18/2 = 9.

4 : 7 = x : 42

4/7 = x/42

By cross-multiplying, we have the following:

7x = 168

x = 168/7 = 24.

2x : 48 = 3 : 12

2x/48 = 3/12

x/24 = 1/4

x = 6

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a) The Name of the angle of elevation is ∠c = 83.3°

b) The Name of the Hypotenuse side is AC

c) The Name of the Opposite side is AB

The angle formed between the line of sight and the horizontal is known as the angle of elevation. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.

We can use the tangent ratio to determine the angle of elevation:

tan(angle of elevation) = opposite/adjacent

tan(angle of elevation) = 29.25/4.75

tan(angle of elevation) = 6.157

The inverse tangent (tan⁻¹) both sides, we obtain:

angle of elevation = tan⁻¹(6.157)

Using a calculator, we get:

angle of elevation ≈ 81.3 degrees (rounded to the nearest tenth)

The elevation angle is roughly 81.3 degrees.

d) The Name of the Adjacent side is BC

e) The Trig Ratio I will be using is Tan θ = Sin θ/Cos θ because we are  

   given the side Opposite Side & Adjacent Side

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The total number of apples, oranges, and tangerines in the fruit basket is in the ratio 10 or 10x

In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.

A ratio compares two quantities by division, with the dividend or number being divided termed the antecedent and the divisor or number that is dividing termed the consequent.

We know that : the ratio of apples : oranges : tangerines = 3 : 2 : 5.

The total number of apples, oranges, and tangerines in the fruit basket is the total number of ratio, that is 3 + 2 + 5 = 10.

Because of the question is not contain information about the number of pieces, we can describe the dividend with x (or unknown value). So, the total number of apples, oranges, and tangerines in the fruit basket with ratio, that is 10 or 10x.

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Answer:

jakfl;jkafjd; free points ha on u

Step-by-step explanation:

The sphere with the volume 1436.03 m³ has 7m long radius.

To find out the approximate length of its radius by using the formula to calculate volume of sphere is:

V= 4πr³/3

The value of π is 22/7 or 3.14.

So, V = 4 × 3.14 × r³ / 3

Volume of the sphere is given which is 1436.03 m³.

Thus, r³ = 1436.03×3 / 4×3.14

r = ³√ 4308.09/12.56 = ³√343 = 7 m.

Hence, the radius of the given sphere is 7 m.

The cube root of a number is the factor that we multiply by itself three times to get that number.

For example, the cube root of 27 is 3.

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The required inequality for the pizzas and donuts can be represented as, nx + ny > 0.

Inequality shows relation between two expression which are not equal to each others.

Number of donuts produced each hour = x,

And number of pizzas produced each hour = y.

Let for n hours, donuts and pizzas are produced.

So the inequality for the positive number of pizzas and donuts, the inequality can be presented as,

nx + ny > 0

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To represent the constraints, the inequalities are  x ≤ n and y ≤ m.

When two expressions or values are not equal to one another, this connection is referred to as "inequality" in mathematics.

Let you can make at most n numbers of donuts per hour.

If x represents the number of donuts produced per hour.

To write an inequality to represent this:

x ≤ n.

And also, you can make at most m number of pizzas per hour.

If represents the number of pizzas produced per hour.

To write an inequality to represent this:

y ≤ m.

You may use a variety of methods to eliminate the inequality, including multiplying or dividing each side by the same positive number, adding or subtracting the same amount from each side, and more. If either side is multiplied or divided by a negative value, the inequality sign must be reversed.

Therefore, the inequalities are x ≤ n and y ≤ m.

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Answer:

A

Step-by-step explanation:

f(x) = (x + 3)(x + 2)(x - 3)

The three roots are going to give - 18 so only A and D can be correct. Why minus? because at some point 3 and 2 and - 3 will all be multiplied together. When they are, the result is - 18

So why did I write x + 2 rather than x - 2? Because the roots turn an equation into 0. You are looking for a way to make x + 2 = 0. It will do that when x = - 2

which is what you were given.

Now to get the answer

(x - 3)(x + 3) = x^2 - 9

(x^2 - 9)(x + 2) = x^3 + 2x^2 - 9x - 18 = f(x)

Thematic Analysis is a process that is used to analyze the text in research in qualitative research. It aims to find the patterns in the data by examining the contents of the text.

In the Qualitative Descriptive Study Design, thematic analysis is utilized to analyze the data obtained from interviews, observation, or other qualitative methods. This method involves the identification of themes and patterns in the data. It helps the researcher to organize the data, identify patterns, and develop the categories and themes that will be used to describe the findings of the study.

Thematic Analysis is used in Qualitative Descriptive Study Design to provide an in-depth understanding of the research topic. It allows the researcher to capture and analyze the rich and diverse experiences of the participants in the study. In this method, data is collected from the participants, and the researcher analyzes the data by identifying the common themes and patterns that emerge from the data. This process of analysis is done in a systematic and iterative manner until the researcher identifies all the themes that are relevant to the research question.

Thematic analysis is useful in qualitative research because it allows the researcher to identify the themes and patterns in the data that are not explicitly stated by the participants. It helps to identify the underlying meanings of the data and to develop a deeper understanding of the research topic. This method is particularly useful when the researcher is dealing with large volumes of data and wants to identify the key themes and patterns that emerge from the data.

In conclusion, Thematic Analysis is a useful method of analysis in Qualitative Descriptive Study Design. It is used to analyze the data obtained from interviews, observation, or other qualitative methods. This method involves the identification of themes and patterns in the data and helps the researcher to organize the data, identify patterns, and develop the categories and themes that will be used to describe the findings of the study.

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Since the provided equation is inconsistent, it cannot intersect.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

we can see that the second set of equation,

4x+2y=12

20x+10y=30

4/20=2/10≠12/30

1/5=1/5≠2/5

The given equation is inconsistent so it does not intersect.

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\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &10 \end{cases} \\\\\\ A = 2000\left(1+\frac{0.08}{1}\right)^{1\cdot 10}\implies A=2000(1.08)^{10} \implies A \approx 4317.85\)

Answer:

The distance from (-3,1) to (-1,5):

D = sqrt[(-3 - -1)^2 + (1 - 5)^2] = ~4.47

Hope this helps!

:)

Answer:

4.47

Step-by-step explanation:

Distance² = (5 - 1)² + (-1 - -3)²

Distance² = 4² + 2²

Distance² = 20

Distance = 2sqrt(5)

4.472135955

The difference in membership numbers between Money Club (6,000 members) and Money Ball (3,500 members) indicates that Money Club has a larger network and potentially offers more opportunities for business connections and contracts.

The membership numbers of Money Club and Money Ball provide insights into the size and reach of each platform's network. Money Club, with 6,000 members, has a larger pool of potential business contacts compared to Money Ball's 3,500 members. A larger network generally means more opportunities for members to connect with individuals from various businesses, increasing the chances of finding suitable partners or clients. With a greater number of members, Money Club may offer a wider range of industries and professional backgrounds, resulting in a diverse community of potential collaborators.

The larger membership base of Money Club suggests that it could provide a more extensive platform for networking and establishing business contracts. However, it's important to note that the quality of connections and opportunities can vary, and factors like the engagement level of members and the effectiveness of the platform's features also play a significant role in determining the overall value provided to its members.

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Answer:

x=5

Step-by-step explanation:

13x-6=8x+19 +6  on both sides

13x=8x+25    -8 on both sides

5x=25       /5 on both sides

x=5

Answer:

36.373 not rounded

Step-by-step explanation:

Using pythagoras theorem

a^2 =b^2 +c^2

a always is the hypotenuse (the opposite side to the 90 angle)

b and c are the other sides obviously

So here we have a = 38

let b =11

So for c =sqrt(38^2 - 11^2)=36.373

The relationship (comparison) between the measures in the specified angles found using the angle–side triangle inequality shows the following inequalities between the angles

m∠QRW < m∠RWQ

7. m∠RTW < m∠TWR

m∠RST > m∠TRS

9. m∠RWQ  < m∠QRW

The angle–side triangle inequality indicates that in a triangles, the larger the angle of a triangle, the larger is the side opposite the angle.

Similarly, the larger the side length of a side of a triangle, the larger is the angle opposite the specified side.

Based on the angle-side triangle inequality, we get;

∠QRW is the angle opposite to the side of length 45 units, and ∠RWQ is the angle opposite the side of length 47 units.

Therefore; m∠QRW < m∠RWQ

7. In triangle ΔRTW, ∠RTW is the angle opposite to the side of length 34 units, and ∠TWR is the angle opposite the side of length 35 units.

Therefore; m∠RTW < m∠TWR

In triangle ΔRST, ∠RST is the angle opposite to the side of length 35 units, and ∠TRS is the angle opposite the side of length 22 units.

Therefore; m∠RST > m∠TRS

9. In triangle ΔQRW, ∠RWQ is the angle opposite to the 47 unit long side and ∠QRW⇔ is the angle opposite the side of length 45 units.

Therefore; m∠RWQ > m∠QRW

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Answer:

3.14

Step-by-step explanation:

Formula: \(b= \sqrt{c^2-a^2}\)

b= \(\sqrt{2.1^2-1.4^2}\)

b = \(\sqrt{2.45}\)

b = 1.57

To get x you need to double b which is

3.14

Step-by-step explanation:

(−∞,∞)

Set-Builder Notation:

{y|y∈R}

Tap to view steps...

Answer:3/4

Step-by-step explanation:

tan^2+1=sec^2

\(4.75 = \frac{19}{4} =4\frac{3}{4}\)

Answer:

4.75 = \(4\frac{75}{100}\) = \(4\frac{3}{4}\)

Step-by-step explanation:

=> 4.75

Changing it into fractional form:

=> \(4\frac{75}{100}\)

In Simplest Form:

=> \(4\frac{3}{4}\)

A. The Utilization rate is 0.5714 or 57.14%, B. The average number of students in line is 0.9 students and C. The average time of waiting in line was 4.57 minutes.

The utilization rate refers to the proportion of time Judy Gumshoes spends processing student requests.

To calculate this rate, divide the average service time by the average time between arrivals. In this case, the average service time is 8 minutes, and students arrive every 14 minutes on average.

a) Utilization rate: 8 minutes / 14 minutes = 0.5714 or 57.14%

b) To determine the average number of students in line,

we can use the formula L = λW, where L represents the average number of students in the system, λ is the arrival rate (1 student per 14 minutes), and W is the average time a student spends in the system (waiting and being served). Since we know the utilization rate,

we can calculate the average waiting time (Wq) using the formula,

Wq = (U^2) / (1 - U), where U is the utilization rate.

In this case, Wq = (0.5714^2) / (1 - 0.5714) = 0.3265 or 32.65% of 14 minutes = 4.57 minutes.

W = Wq + service time

= 4.57 minutes + 8 minutes

= 12.57 minutes.

Finally, L = λW = (1 student / 14 minutes) * 12.57 minutes

= 0.9 students.

c) The average time of waiting in line is the same as the average waiting time in the system (Wq), which we calculated as 4.57 minutes.

In summary, the utilization rate of the service counter is 57.14%, the average number of students in line is 0.9, and the average waiting time in line is 4.57 minutes.

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The perimeter of the smaller rectangle is 40 mm

from the question, we have the following parameters that can be used in our computation:

The figures

The perimeter of the smaller rectangle is calculated as

Perimeter = 2 * Sum of side lengths

using the above as a guide, we have the following:

Perimeter = 2 * (4 + 16)

Evaluate

Perimeter = 40

Hence, the perimeter of the smaller rectangle is 40 mm

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The term LaTeX: \binom{n}{k} in the equation for binomial probabilities is the combination or binomial coefficient. A binomial coefficient, or a combination, is a mathematical term used in probability theory to refer to the number of ways of selecting k items from n items, disregarding their order.

It is written as LaTeX: \binom{n}{k} and can also be pronounced "n choose k."The binomial probability formula calculates the probability of obtaining a certain number of successes in a given number of trials.

The formula is given as: LaTeX: P(k)=\binom{n}{k}p^k(1-p)^{n-k}Where LaTeX: P(k) is the probability of having k successes, n is the total number of trials, k is the number of successes, p is the probability of success in each trial, and (1-p) is the probability of failure in each trial.

The formula for the binomial coefficient is given as:LaTeX: \binom{n}{k} = \frac{n!}{k!(n-k)!}where n! is the factorial of n (n × (n - 1) × (n - 2) × ... × 2 × 1), k! is the factorial of k (k × (k - 1) × (k - 2) × ... × 2 × 1), and (n - k)! is the factorial of (n - k) ((n - k) × ((n - k) - 1) × ((n - k) - 2) × ... × 2 × 1).

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a. TR(q) = 10q, MR(q) = 10, AR(q) = 10. b. MC(q) = 2q - 4. c. AC(q) = q - 4 + 12/q, AFC(q) = 0, AVC(q) = q - 4 d. The demand curve is a horizontal line at $10. e. The profit-maximizing quantity is 7 units. f. With a new market price of $8, the firm's profit-maximizing quantity decreases to 6 units.

a. To find the total revenue (TR), marginal revenue (MR), and average revenue (AR), we need to use the market price and the quantity produced.

Total Revenue (TR):

TR(q) = P * q

TR(q) = 10 * q

Marginal Revenue (MR):

MR(q) = d(TR(q)) / d(q)

MR(q) = d(10q) / d(q)

MR(q) = 10

Average Revenue (AR):

AR(q) = TR(q) / q

AR(q) = (10 * q) / q

AR(q) = 10

b. To find the marginal cost (MC), we need to differentiate the total cost function with respect to quantity.

Total Cost (TC):

TC(q) = q² - 4q + 12

Marginal Cost (MC):

MC(q) = d(TC(q)) / d(q)

MC(q) = d(q² - 4q + 12) / d(q)

MC(q) = 2q - 4

c. To find the average cost (AC), average fixed cost (AFC), and average variable cost (AVC), we divide the total cost by the quantity.

Average Cost (AC):

AC(q) = TC(q) / q

AC(q) = (q² - 4q + 12) / q

AC(q) = q - 4 + 12/q

Average Fixed Cost (AFC):

AFC(q) = FC / q

Since the total cost function does not include any fixed cost term, AFC is zero.

Average Variable Cost (AVC):

AVC(q) = VC / q

AVC(q) = (q² - 4q + 12) / q

AVC(q) = q - 4 + 12/q

d. To sketch the demand curve, we need the relationship between quantity and price. Since the market price (P) is given as $10, we can plot the demand curve as a horizontal line at $10.

e. To find the profit-maximizing level of quantity, we need to set marginal cost (MC) equal to marginal revenue (MR) and solve for quantity (q).

MC(q) = MR(q)

2q - 4 = 10

2q = 14

q = 7

Therefore, the profit-maximizing level of quantity for this firm is 7 units.

f. If the market price decreases to $8 due to an expansion in the market, we need to find the new profit-maximizing level of output.

MC(q) = MR(q)

2q - 4 = 8

2q = 12

q = 6

Thus, the new profit-maximizing quantity is 6 units. The firm will decrease its output level to maximize profit at the new market price.

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The given statement "the irregular variation component of a time series measures the over-all general directional movement over a long period of time." is true because the overall behavior of the series and make more accurate predictions about future trends.

The irregular variation component of a time series can be defined as the part of the series that is not explained by any of the other components, such as the trend, seasonal, or cyclical components. This means that it represents the random fluctuations in the series that are not due to any underlying pattern or trend. In other words, it measures the extent to which the series deviates from its expected value at any given point in time.

Mathematically, the irregular variation component can be expressed as the difference between the observed value of the time series at a particular point in time and the expected value of the series at that same point in time, given the other components of the series.

The irregular variation component is important because it can provide insight into the underlying causes of the random fluctuations in the time series.

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Answer:

0.14 per ounce of mustard

Step-by-step explanation:

To find the price per ounce we will have to divide 2.80 with 20. The answer is 0.14. So, that is your answer!

Thank You! Please mark me brainliest so that I get encouraged to make more great answers like this one!

Answer:

The constant term in the expression is 7

plz give brainlist

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

am smart

To find the y-intercept, we substituted 0 for x in the given function and solved for y. The y-intercept of the function \(g(x) = x^3 + 2x^2 - 9x - 18 is -18\). This means the function crosses the y-axis at the point (0, -18).

To find the y-intercept of a function, we need to substitute 0 for x and solve for y. In this case, we are given the function \(g(x) = x^3 + 2x^2 - 9x - 18\) and we need to find its y-intercept.

To find the y-intercept, we substitute 0 for x in the given function, as follows:

\(g(0) = (0)^3 + 2(0)^2 - 9(0) - 18\)

\(g(0) = 0 + 0 - 0 - 18\)

\(g(0) = -18\)

Therefore, the y-intercept of the function g(x) is -18.

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Answer:

1 : 10000

Step-by-step explanation:

Energy of a photon of x-rays of wavelength = 0.05 nm

Energy of a photon of visible light of wavelength = 500 nm

The ratio is given as;

0.05 : 500

1 : 10000

Therefore, ratio of the energy of a photon of x-rays of wavelength to that of a photon of visible light of wavelength is 1 : 10000