En un triángulo rectángulo A es un ángulo agudo y Sen A = 4/5 ¿Cuál será el valor de Tan A?

Hi there! Look at the attachments along with my explanation. Before we are going to answer your problem, we need to know the basic Trigonometric Ratio first.

Now see my attachments. The first attachment is the original image from your problem.

The second attachment is when we draw to focus on angle H (in a better perspective)

The third attachment is when we draw to focus on angle G in a better perspective.

Now that we know tanA = opposite/adjacent

Define A = any angles.

Therefore,

tanH = 1/2

tanG = 2/1 = 2

Answer

Answer:

$3,480

Step-by-step explanation:

You multiply the amount she makes per hour by how many hours she works in a month.

11.60 × 300 = 3,480

As per the distribution, the value of P(X > 17) is 1/4

In this problem, we are given that the random variable X has a discrete uniform distribution on the integers 12, 13, ..., 19. This means that each of these integers has an equal chance of being the value of X, and any other value outside this range has a probability of 0. We can represent this distribution using a probability mass function, which gives the probability of each possible value of X.

To find the value of P(X > 17), we need to calculate the probability that X takes on a value greater than 17. Since the distribution is uniform, the probability of X being any of the integers in the range is 1/8.

Therefore, we can find the probability of X being greater than 17 by adding up the probabilities of X being equal to 18 or 19, which are the only values greater than 17 in the distribution.

Thus, we have P(X > 17) = P(X = 18) + P(X = 19) = (1/8) + (1/8) = 1/4.

This means that there is a 1/4 chance that X will be greater than 17.

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By using technology, the value of r² is equal to; C. 0.32.

In Mathematics, a coefficient of determination (r² or r-squared) can be defined as a number between zero (0) and one (1) that is typically used for measuring the extent (how well) to which a statistical model predicts an outcome.

Based on the given data, the correlation can be determined by using an online graphing calculator as shown in the image attached below. Since the value of r is equal to -0.56, the coefficient of determination (r²) can be calculated as follows;

r² = (-0.56)²

r² = 0.3136 ≈ 0.32

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Complete Question:

A guidance counselor wants to determine if there is a relationship between a student's number of absences, x, and

their grade point average (GPA), y. The given data list the number of absences and GPAs for 15 randomly selected students.

Number of Absences

15

1

0

6

9

12

3

3

1

2

7

0

4

9

10

GPA

2.1

4.3

4.5

3.2

4.0

1.7

3.8

2.9

3.6

3.4

2.6

3.1

2.8

2.8

4.1

Using technology, what is the value of r²?

O-0.56

O-0.32

O 0.32

O 0.56

Answer:

It's still gonna equal 28

Answer:

All real numbers

Step-by-step explanation:

Distribute the -2 to the parentheses:

-12d - 6 = -2(d + 3) - 10d

-12d - 6 = -2d - 6 - 10d

Add like terms:

-12d - 6 = -12d - 6

Since each side is equivalent to -12d - 6, the answer is all real numbers

Answer:

This is true for any value of d. (d ∈ Set of All Real Numbers (I couldn't find the symbol))

Step-by-step explanation:

1. Simplify both sides. You cannot simplify -12d - 6, but you can simplify -2(d + 3) - 10d. Use the distributive property to simplify this. It would be -2d + -2 * 3 -10d, which is equal to -12d - 6. If you simplify both sides, you would get that d=d, which would be true for all values of d, which means that d is equal to all real numbers, meaning that for any value for d, this would be true (d ∈ Set of All Real Numbers (I couldn't find the symbol)).

The result of the logarithmic functions by logarithm tables are listed below:

This question can be resolved by means of logarithm properties and logarithm tables or numerical methods. Now we proceed to evaluate each logarithmic functions:

Case 1:

㏒₁₀ 0.1

By using rational numbers:

㏒₁₀ (1 / 100)

By logarithm properties:

㏒₁₀ 1 - ㏒₁₀ 100

By logarithm tables:

0 - 2

- 2

Case 2:

㏒₅ 125

By logarithm tables:

3

Case 3:

㏒₈ 64

By logarithm tables:

2

Case 4:

\(\log_{\frac{1}{3} } 9\)

By logarithm tables:

- 2

Case 5:

\(\log_{\frac{1}{2}} \frac{1}{2}\)

By logarithm tables:

1

Case 6:

㏒₄₉ 7

By logarithm tables:

1 / 2

Case 7:

㏒₉ 3

By logarithm tables:

1 / 2

Case 8:

㏒₃ 81

By logarithm tables:

4

Case 9:

㏒₄ 8

By logarithm tables:

3 / 2

Case 10:

㏒₁₀₀ 10,000

By logarithm tables:

2

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The chance of getting either 1, 2, 3, 4, 5, or 6 on the next roll of a standard six-sided die is 100%. The outcome must be one of these numbers, as these are the only possible outcomes on a standard six-sided die.

A standard six-sided die has six faces, numbered from 1 to 6. Each face has an equal chance of landing face-up when the die is rolled, assuming the die is fair and not biased. Therefore, the probability of getting any one of the six numbers (1, 2, 3, 4, 5, or 6) on the next roll is 1 out of 6, or 1/6, which is equivalent to approximately 0.1667 or 16.67%. Since there are no other possible outcomes on a standard six-sided die other than these six numbers, the chance of getting either 1, 2, 3, 4, 5, or 6 on the next roll is 100%.

Therefore, the answer is: The chance of getting either 1, 2, 3, 4, 5, or 6 on the next roll is 100% as these are the only possible outcomes on a standard six-sided die.

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First, we can write the quadratic function in the form:

ax^2 + bx + c = a(x^2 + (b/a)x) + c

ax^2 + bx + c = a(x^2 + (b/a)x + (b/2a)^2 - (b/2a)^2) + c

ax^2 + bx + c = a[(x + (b/2a))^2 - (b/2a)^2] + c

minimum value of this expression occurs when (x + (b/2a))^2 = 0, which is only possible when x = -(b/2a)

ax^2 + bx + c = a(0 - (b/2a)^2) + c = -b^2/4a + c

the minimum value of the quadratic function is -(Δ/4a), which is equivalent to -b^2/4a when a > 0

the function is zero when x = 1, so we can write:

a(1)^2 + b(1) + c = 0

a + b + c = 0

ax^2 + bx + c = a(x - h)^2 + k, where h = -b/2a and k = -b^2/4a + c

the value of the function at x = 0 is 5, so we have:

a(0)^2 + b(0) + c = 5

c = 5

k = -b^2/4a + c

k = -(-a-5)^2/4a + 5

Simplifying this expression, we get:

k = (-a^2 - 10a - 25)/4a + 5

k = (-a^2 - 10a + 15)/4a

Since we know that k = -4, we can write:

-4 = (-a^2 - 10a + 15)/4a

Multiplying both sides by 4a, we get:

-16a = -a^2 - 10a + 15

Simplifying this equation, we get:

a^2 - 6a - 15 = 0

Factoring this quadratic equation, we get:

(a - 5)(a + 3) = 0

So, either a = 5 or a = -3. If a = 5, we can solve for b using the equation a + b

*IG:whis.sama_ent

Answer:

Domain:  

( − ∞ , ∞ )

Step-by-step explanation:

Answer:

  B)  108°

Step-by-step explanation:

You want the interior angle measure for a regular pentagon.

The interior angles of a regular n-gon will have measure ...

  180° -360°/n

When n = 5, the interior angles have measure ...

  180° -360*/5 = 180° -72° = 108°

The interior angles of a regular pentagon are 108°.

__

Additional comment

The 360°/n comes from the fact that the sum of exterior angles for any convex polygon is 360°. For a regular n-gon, those exterior angles are congruent, so each is 360°/n. The interior angle is its supplement.

<95141404393>

Answer:

1.

Step-by-step explanation:

Reflection does not change the shape, just the orientation of the shape, also keeping the same size.

Dilation keeps the same shape, but changes the size.

same shape but different size is considered similar.

Answer:

The answer is number 1!!! Hope this helps!!!

Step-by-step explanation:

Answer:

Try and start at the line?

Step-by-step explanation:

It is important to note that continuous random variables typically represent measured data, such as the weight or height of an individual, while discrete random variables typically represent counted data, such as the number of heads in a series of coin flips.

The mean of a probability distribution, also known as the expected value, is a measure of central tendency that represents the average value of a random variable in the long run. It is calculated by taking the weighted average of all possible values that the random variable can take, with the weights being the probabilities of each value occurring.

In the case of a discrete random variable, the mean is calculated by multiplying each possible value by its probability and then summing the results. For a continuous random variable, the mean is calculated by integrating the product of the value and its probability density function over the entire range of possible values.

The mean is significant because it provides a measure of the central tendency of a probability distribution, which can be used to make predictions about future outcomes. It is also used in various applications, such as calculating the expected value of a financial investment or the expected number of occurrences of an event in a given time period.

It is important to note that continuous random variables typically represent measured data, such as the weight or height of an individual, while discrete random variables typically represent counted data, such as the number of heads in a series of coin flips.

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The rate of change of the radius of the spherical balloon when the radius is 3 inches is 1/6π in/min.

The rate of change of the radius of the spherical balloon when the radius is 3 inches is 1/6π in/min.

Explanation:The volume V of a sphere of radius r is given by the formula

V = (4/3)πr³

Differentiating both sides of the equation with respect to time t (using the chain rule), we get

dV/dt = 4πr² (dr/dt)

We know that

dV/dt = 6 in³/min (given in the problem statement) and r = 3 in (given in the problem statement)

Therefore,6 = 4π(3²) (dr/dt)

dr/dt = 6 / (4π × 9)

dr/dt = 1 / (6π/4)

dr/dt = 4/6π

= 2/3π in/min

So, the rate of change of the radius of the spherical balloon when the radius is 3 inches is 1/6π in/min.

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For this expression,a=15,b=7 and c=4

Good luck on your assignment

Answer:

\(\sqrt{22}\approx5\)

Step-by-step explanation:

We know that \(\sqrt{16}=4\) and \(\sqrt{25}=5\), so since 22 is closest to 25, then we can say that \(\sqrt{22}\approx5\)

Answer:

2.39 x 10 to the power of 4

Answer:

Step-by-step explanation:

Givens

h = 2

w=10

l = 17

Formula

V = l * w * h

Solution

V = 2 * 10 * 170

V = 3400 cubic feet

Answer:

V = 340 cubic feet

Step-by-step explanation:

V = H•L•W

V = 2 • 17 • 10

Answer:

7000 im pretty sure if not im sorry

The financial manager should select Project A.

Capital rationing refers to a situation in which a corporation decides to restrict the amount of new investment projects it will pursue so that it can maintain its current level of indebtedness. It is a state of constraint on the amount of investment that a company can make.

Capital rationing is also one of the financial management's most critical investment decisions.

Project A and Project B are two potential investment proposals.

Both projects' cash inflows are given over a three-year term. A cost of 6% is used to discount cash flows in both proposals.

Following that, the net present value of each project is determined.

Given that Project A has a favorable net present value compared to Project B, the financial manager should select Project A since it will yield a greater return on investment.

As a result, the answer is to select project A.

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Answer:

22%

Step-by-step explanation:

1- 11000/50000 = 0.22

2- 0.22 x 100 = 22%

.. ..

From the given graph, we have two inequalities which are represented by the blue and the red region on the graph.

Furthermore, we can also a purple region where both the red and the blue region overlaps. The purple region represents the intersection between the two regions(red and blue), which denotes the solution of the graph.

Hence, from the option given we can deduce that Option D, which is

(-4,0) is the correct solution to the graph because it falls in the purple region.

The solution to the graph,

Answer:

17

Step-by-step explanation:

mean means average...

12+16+23= 51

51/3= 17

Answer:

y=7x, y=-5x, y=24x, y=-2x

Step-by-step explanation:

7. each of the Xs multiplied by 7 is the Y, so y=7x

8. the function is inverse, so we can assume that x is negative, and after we multiply the x by -1, we find that the rule is multiply by 5, so y=-5x

9.   looking again at the pattern, we can find that x * 24 is the y, so y=24x

10. again, the function is inverse so x is negative, and the pattern is multiplying by 2, so y=-2x

If Jamal wants to become a millionaire, then Jamal must wait for 19 years if he invests $22,108.44 at 21% today, Jamal must wait for 18 years if he invests $45,104.11 at 16% today, Jamal must wait for 22 years if he invests $152,814.56 at 8% today, and Jamal must wait for 24 years if he invests $276,434.51 at 6% today

To calculate the waiting period for Jamal, follow these steps:

Therefore, Jamal has to wait approximately 19, 18, 22, and 24 years respectively to become a millionaire by investing $22,108.44, $45,104.11, $152,814.56, and $276,434.51 respectively at 21%, 16%, 8%, and 6% interest rates.

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A unit rate means a rate for one of something.

The number of boxes packed in 18 hours is 216 boxes.

A unit rate means a rate for one of something.

We write this as a ratio with a denominator of one. 

We have,

From the graph, we see that,

In 5 hours, there are 60 boxes packed.

This can be written as:

5 hours = 60 boxes

Similarly,

1 hour = 12 boxes

3 hours = 36 boxes

The number of boxes packed in 18 hours:

1 hour = 12 boxes

Multiply both sides by 18.

18 hours = 18 x 12 boxes

18 hours = 216 boxes

Thus,

The number of boxes packed in 18 hours is 216 boxes.

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The unit vector that is in the same direction as vector v is D.

To determine the unit vector that is in the same direction as vector v, we first need to find the magnitude and direction of vector v. The magnitude of a vector can be calculated using the distance formula, which is the square root of the sum of the squares of the differences in x-coordinates and y-coordinates of the initial and terminal points.

The x-coordinate difference is (-17 - 7) = -24, and the y-coordinate difference is (4 - (-9)) = 13. Therefore, the magnitude of vector v is √((-24)^2 + 13^2) = √(576 + 169) = √745.

To obtain the unit vector in the same direction, we divide vector v by its magnitude. So, the unit vector u in the same direction as vector v is given by u = (v_x / ||v||, v_y / ||v||), where v_x and v_y are the x and y components of vector v, respectively.

In this case, the x component of vector v is -24 and the y component is 13. Therefore, the unit vector in the same direction as vector v is (-24/√745, 13/√745).

Comparing this with the given options, we can conclude that the unit vector D is the correct choice.

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