A mother is 3 times as old her son is now. Fourteen years ago, she was 10 times as old as he was then. how old is the son?

Answer:

C

Step-by-step explanation:

We'll have to use trigonometry for this.

First, note that in right triangle ABC, if we look from the perspective of angle A, the opposite side is x, the adjacent side is y, and the hypotenuse is 18.

In order to find x, then, we must use sine, which is opposite/hypotenuse. So:

sin(A) = sin(60) = opposite/hypotenuse = x/18

sin(60) is equal to (√3)/2, so multiplying both sides by 18 gives:

[(√3)/2] * 18 = 9√3

Already, we can tell that the answer is likely C, but let's find y to make sure.

We will use cosine to find y because cos = adjacent/hypotenuse.

cos(A) = cos(60) = adjacent/hypotenuse = y/18

cos(60) = 0.5, so multiplying both sides by 18 gives:

0.5 * 18 = 9

So, y = 9.

Thus, C is our answer.

~ an aesthetics lover

Answer:

C

Step-by-step explanation:

Using the cosine/ sine ratio in the right triangle and the exact values

cos30° = \(\frac{\sqrt{3} }{2}\) and sin30° = \(\frac{1}{2}\) , then

cos30° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{BC}{AC}\) = \(\frac{x}{18}\) = \(\frac{\sqrt{3} }{2}\) ( cross- multiply )

2x = 18\(\sqrt{3}\) ( divide both sides by 2 )

x = 9\(\sqrt{3}\)

----------------------------------------------------------

sin30° = \(\frac{opposite}{hypotenuse}\) = \(\frac{AB}{AC}\) = \(\frac{y}{18}\) = \(\frac{1}{2}\) ( cross- multiply )

2y = 18 ( divide both sides by 2 )

y = 9

Thus

x = 9\(\sqrt{3}\) and y = 9 → C

This might help u.....

The correct answer to the given question about all of the diagonals drawn from a vertex of an n-gon is option b) n-1

If all of the diagonals are drawn from a vertex of an n-gon, the number of triangles formed is equal to the number of non-diagonal sides of the n-gon. To see why, imagine selecting a vertex of the n-gon and drawing all of the diagonals from that vertex. Each diagonal connects that vertex to a non-adjacent vertex of the n-gon, which splits the n-gon into a series of triangles. The total number of triangles formed is equal to the number of non-diagonal sides of the n-gon, because each non-diagonal side forms one triangle with the selected vertex and one of its adjacent vertices. An n-gon has n sides, so the number of non-diagonal sides is equal to n - 3. This is because each vertex is connected to two adjacent vertices, so there are n - 2 diagonal sides emanating from the selected vertex, and the remaining n - 2 sides are non-diagonal. In addition, there are three sides at the selected vertex that are not counted as non-diagonal sides, so we subtract 3 from n - 2 to get n - 3. Therefore, the answer is (B) n - 1.

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(x - 5)2 = 3

2x - 10 = 3

2x -10 + 10 = 3 + 10

2x = 13

2x/2 = 13/2

x = 6.5

Answer: x = 6.5

Hope this helps!!!

Answer:

x = 6.5

Step-by-step explanation:

6.5 - 5 = 1.5

1.5(2) = 3

Acceptance sampling is a quality control technique that involves inspectors randomly selecting samples (or batches) of finished products and measuring them against predetermined standards.  

Acceptance sampling can be of two types: variable or attribute. In variable sampling, measurements are taken on a continuous scale, such as weight or length. On the other hand, attribute sampling involves assessing the presence or absence of a specific characteristic, such as defects or conformity.

In the business environment, attribute inspection is more commonly used.

Therefore, all of the statements mentioned in options A, B, and C are true when it comes to acceptance sampling. I hope this helps! Let me know if you have any further questions.

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Answer:

3, 4

Step-by-step explanation:

9 < 10 < 16

=> sqrt(9) < sqrt(10)<sqrt(16)

=> 3 < sqrt(10) < 4

Answer:

<stv and <stq

Step-by-step explanation:

adjacent angles have the same vertex and are side by side.

Answer:

26/3

Step-by-step explanation:

6 1/2 divided by 3/4 = 13/2 divided by 3/4

\(\frac{13}{2} / \frac{3}{4}\\\)

\(=\frac{13}{2} * \frac{4}{3}\)

=\(\frac{26}{3}\)

Answer:

1

Step-by-step explanation:

Anything (besides 0) to the 0 power is 1.

The elk population in 2014 will be 19,700 ,A population is an identified grouping of objects with the purpose of analysis and data collection.

A population is an identified grouping of objects with the purpose of analysis and data collection. Examples include people and animals. It comprises of a related collection of species that live in a specific area and have the ability to interbreed.

The population increased by 12,700-12,000 = 700 between the two measures, however, it did so over a period of 1 year, from 2004 to 2003. Divide 700 elk by 1

The elk population in 2014 will be 19,700We must first establish the method

2014=700 should add 10 times then we will get the 2014th year population.

so the population of 2014th will 19700

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Answer:

sis 3rd option is correct

Answer:

4

Step-by-step explanation:

The missing value with a whole number is 4.

Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.

Given that, 40 thousandths= hundredths

Let the missing value with a whole number be x.

Now, 40 thousandths= x hundredths

40 thousandths

= 40 ×1/1000

= 0.04

So, 0.04= x ×1/100

0.04×100=x

x=4

So, 40 thousandths= 4 hundredths

Therefore, the missing value with a whole number is 4.

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The dimensions of the framed picture would be "x + 2" centimeters for the width and "x + 8" centimeters for the length, where "x" represents the width of the original rectangular picture.

To determine the dimensions of the framed picture, we can use the information. Let's assume the width of the picture is "x" centimeters.

Since the rectangular picture is 6 centimeters longer than it is wide, the length of the picture would be "x + 6" centimeters.

When a frame 1 centimeter wide is placed around the picture, it adds 1 centimeter to each side of the picture.

Therefore, the width of the framed picture would be "x + 2" centimeters (2 additional centimeters for the frame on both sides) and the length would be "x + 6 + 2" centimeters (2 additional centimeters for the frame on both sides).

In simplified form, the dimensions of the framed picture would be width: "x + 2" centimeters and length: "x + 8" centimeters.

The complete question is "'A rectangular picture is 6 cm longer than it is wide. A frame 1 cm wide is placed around the picture. Write a polynomial that represents the area of the frame?"

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To calculate the margin of error needed to create a 90% confidence interval for the mean, we need to consider the standard deviation, sample size, and the desired confidence level.

The formula to calculate the margin of error is:

Margin of Error = Critical Value * (Standard Deviation / √(Sample Size))

The critical value corresponds to the desired confidence level and is obtained from the standard normal distribution or t-distribution based on the sample size and whether the population standard deviation is known or unknown.

If the population standard deviation (σ) is known, we use the standard normal distribution and the critical value is obtained from the Z-table for the desired confidence level.

If the population standard deviation (σ) is unknown, we use the t-distribution and the critical value is obtained from the t-table for the desired confidence level and degrees of freedom (sample size minus one).

Once we have the critical value, standard deviation, and sample size, we can calculate the margin of error using the formula mentioned above.

Note: Since you haven't provided specific data or the sample size, I cannot calculate the exact margin of error. However, with the appropriate values, you can follow the steps outlined above to determine the margin of error for a 90% confidence interval for the mean.

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To calculate the margin of error needed to create a 90% confidence interval for the mean, we need to know the sample size (n), the standard deviation (σ), and the critical value corresponding to a 90% confidence level.

The formula for the margin of error is given by:

Margin of Error = Critical Value * Standard Error

The critical value for a 90% confidence level depends on the distribution of the sample. If we assume a normal distribution, the critical value is approximately 1.645.

The standard error is calculated as the standard deviation divided by the square root of the sample size:

Standard Error = σ / √n

By substituting the appropriate values into the formula, we can calculate the margin of error. However, without specific values for the sample size and standard deviation, it is not possible to provide the exact margin of error.

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Answer:

d=6

Step-by-step explanation:

subtract 5 from both sides

then simplify what you get

then divide both sides by 4

then simplify to get answer

We can find the distance between the points shown by adding the distance between each point and the y-axis which is the fourth option.

We are given the points:-

A (-8, -4) and,

B (2, -4)

We have to find the distance between the points AB.

We know that,

Distance between points AB = Distance between A and y -axis + Distance between y -axis and B

Hence, according to the cartesian plane given, we can write,

We can find the distance between the points shown by adding the distance between each point and the y-axis which is the fourth option.

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Answer:

\(({2x}^{2} )^{3} \times ( - {x}^{4} )\)

\( {2x}^{6} \times ( - {x}^{4} )\)

\( - {2x}^{6 + 4} \)

\( - {2x}^{10} \)

hope it helps you :)

The probability is 24 out of 883 deaths, which can be expressed as 24/883 or approximately 0.027. Thus, the correct answer is A. 24/883 or 0.027.

To calculate the probability that a particular death is due to an automobile accident using the relative frequency approach, we divide the number of deaths from automobile accidents by the total number of deaths.

Number of deaths from automobile accidents: 24

Total number of deaths: 883

Probability = Number of deaths from automobile accidents / Total number of deaths

Probability = 24 / 883 ≈ 0.027

Therefore, the correct answer is A. 24/883 or approximately 0.027.

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Answer:

K=27/2

Step-by-step explanation:

Hope this helps!

Answer: k = 27/2 = 13 1/2 = 13.5

Step-by-step explanation: Brainliest? That answer is right. I just solved it

Answer:

\(A' = (- 1, -8)\)

\(B' = (-8, -8)\)

\(C' = (-5, -1)\)

Step-by-step explanation:

Given

\(A = (- 1, 8)\)

\(B = (-8, 8)\)

\(C = (-5, 1)\)

Required

Determine the reflected image in the x axis

When a point is reflected across the x axis, the x coordinate remains the same, while the y coordinate is negated.

In other words,

\(A(x,y)\) when reflected becomes \(A'(x,-y)\)

So, for each of the following points

\(A = (- 1, 8)\)

\(B = (-8, 8)\)

\(C = (-5, 1)\)

There images are:

\(A' = (- 1, -8)\)

\(B' = (-8, -8)\)

\(C' = (-5, -1)\)

Answer:

Chocolate Chips cost $2.25 and Walnuts cost $3.25 per pound each

Step-by-step explanatChocion:

Let x = cost of pounds of chocolate chip cookies and y = cost of pounds of walnuts.

From the question, we get 5x+3y = 21 and 2x+6y = 24. To solve the equation, we use substitution. From the first equation, we get y = (21-5x)/3. We substitute the y into the second equation to get 2x + 6(21-5x)/3 = 24. This turns out to be 2x+(42-10x) = 24. Adding like terms you should get 42-8x = 24. Solving for x, x = $2.25 per pound. Plugging this into the first equation, we get 5(2.25)+3y = 21. Solving for y, we get $3.25 per pound of walnuts. If we plug in the numbers into the 2 equations, we will get the right total.

Answer:

I need points

Step-by-step explanation:

Answer:

The answer to this is the difference between 2 positive integers/numbers can be either positive, negative or 0.

Step-by-step explanation:

Hope this helps :)

To determine the amount of water produced, we need to know the stoichiometric ratio between hydrogen and oxygen in the reaction.

Without that information, we cannot calculate the exact amount of water produced from a given mass of either hydrogen or oxygen. The balanced chemical equation for the reaction between hydrogen and oxygen to form water is 2H₂ + O₂ → 2H₂O. This equation tells us that two molecules of hydrogen react with one molecule of oxygen to produce two molecules of water. To calculate the amount of water produced from a given mass of hydrogen or oxygen, we need to consider their molar masses. The molar mass of hydrogen is approximately 2.02 g/mol, and the molar mass of oxygen is approximately 32.00 g/mol.

If we have 250.0 grams of hydrogen, we can convert the mass to moles using the molar mass: 250.0 g H₂ * (1 mol H₂ / 2.02 g H₂) = approximately 123.76 mol H₂. Since the stoichiometric ratio is 2:2, for every 2 moles of hydrogen, we get 2 moles of water. Therefore, the amount of water produced would be approximately 123.76 mol H₂ * (2 mol H₂O / 2 mol H₂) = 123.76 mol H₂O. To calculate the mass of water produced, we multiply the number of moles by the molar mass of water: 123.76 mol H₂O * (18.02 g H₂O / 1 mol H₂O) = approximately 2,229.95 grams of water.

Similarly, if we had 250.0 grams of oxygen, we can follow the same steps: 250.0 g O₂ * (1 mol O₂ / 32.00 g O₂) = approximately 7.81 mol O₂.According to the stoichiometric ratio, for every 1 mole of oxygen, we get 2 moles of water. Thus, the amount of water produced would be approximately 7.81 mol O₂ * (2 mol H₂O / 1 mol O₂) = 15.63 mol H₂O.Calculating the mass of water produced: 15.63 mol H₂O * (18.02 g H₂O / 1 mol H₂O) = approximately 281.37 grams of water. Therefore, starting with 250.0 grams of hydrogen would yield approximately 2,229.95 grams of water, while starting with 250.0 grams of oxygen would yield approximately 281.37 grams of water.

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Answer:

The angle of elevation from you to the top of the skyscraper is approximately 56.2 degrees.

Step-by-step explanation:

Step-by-step explanation:

x+50%x=30

150%=30

1.5x=30

x=20

B!!!

Answer:

(B) 20

Step-by-step explanation:

Let the required number be x.

Therefore,

\(x + 50\% \: of \: x = 30 \\ \\ x + 0.50 x= 30 \\ \\ 1.5x = 30 \\ \\ x = \frac{30}{1.5} \\ \\ x = \frac{300}{15} \\ \\ x = 20\)

Answer:

the power of a should be 3.

Answer:

Uhhh add the top then divide by bottom

Step-by-step explanation:

Bc yes

Answer:

\( c = \dfrac{3e + 3d - 5D}{2b} \)

Step-by-step explanation:

\( \dfrac{2bc + 5D}{3} = e + d \)

Multiply both sides by 3.

\( 2bc + 5D = 3(e + d) \)

\( 2bc + 5D = 3e + 3d \)

Subtract 5D from both sides.

\( 2bc = 3e + 3d - 5D \)

Divide both sides by 2b.

\( c = \dfrac{3e + 3d - 5D}{2b} \)