How do I solve this? With shown work involved?

Based on the given information, the angle is C. 22.1° an  A. 20.4°.

Trigonometric functions are mathematical functions that relate the angles and sides of a right triangle.

The basic trigonometric functions are:

Sine (sin): the ratio of the length of the side opposite an angle to the length of the hypotenuse of the triangle.

Cosine (cos): the ratio of the length of the side adjacent to an angle to the length of the hypotenuse of the triangle.

Tangent (tan): the ratio of the length of the side opposite an angle to the length of the side adjacent to the angle.

We can use the trigonometric function tangent to find angle R in the right triangle:

tan(R) = opposite/adjacent = PQ/QR

tan(R) = 5.2/13.4

R = tan⁻¹(5.2/13.4)

R ≈ 22.1°

Therefore, the answer is C. 22.1° rounded to one decimal place.

Using the Pythagorean theorem, we can find the length of side AB:

AB = √(AC² - BC²)

= √(25² - 10²)

= √(575)

Now we can use the sine function to find the measure of angle C:

sin(C) = BC/AB

C = sin⁻¹(BC/AB)

= sin⁻¹(10/√(575))

≈ 20.4°

Therefore, the answer is A) 20.4°.

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Answer:

Step-by-step explanation:

supply.       /.       time.      /.       work

4.              /          4           /.       4

1             /.            4.        /.          1

9.         /.              4        /            9

9        /.                9       /         20.25

you need to divide 9 by 4 and them multiply your 9 by what you got from the the division which is 2.25

We need to convert both quantities to the same units before we can compare them.

24 ounces is equal to 1.5 pounds (since there are 16 ounces in 1 pound).

So the ratio of 24 ounces to 12 pounds can be written as:

1.5 pounds : 12 pounds

Simplifying this ratio by dividing both sides by 12, we get:

0.125 : 1

Therefore, the ratio that compares the relative sizes of 24 ounces to 12 pounds is 0.125 : 1.

The surface area of the given figure is 90sq inches which include 3 rectangular faces and two triangular faces.

Area of 1 rectangular face is 6.5x5=32.5.
Area of 2 rectangular face is 5x6=30
Area of 3 rectangular face is 2.5x5=12.5
Area of the two triangluar faces= 2.5x6x0.5x2=15

Total area is 90 sq inches.

To find the surface area of a joined figure, we need to add up the surface areas of all the individual components of the figure.

For example, if we have a figure made up of a rectangular prism and a pyramid attached to the top, we can find the surface area by first calculating the surface area of the rectangular prism:

Surface area of the rectangular prism = 2lw + 2lh + 2wh

Surface area of the pyramid = (1/2)3.14 + B

Finally, we add the surface area of the rectangular prism to the surface area of the pyramid to get the total surface area of the joined figure.

Total surface area = Surface area of the rectangular prism + Surface area of the pyramid

This method can be applied to any joined figure made up of multiple components. We just need to find the surface area of each individual component and then add them up.

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t is not accurate to claim that someone is healthier simply because they consume more calories or more vegetables. A variety of factors, including the quality and nutrient density of the food consumed, physical activity levels, genetics, and overall lifestyle choices, all contribute to overall health. Therefore, it is important to consider a comprehensive approach to evaluating health rather than relying solely on calorie intake as a metric.

What is genetic?

Genetics refers to the study of genes, heredity, and variation in living organisms. Genes are segments of DNA that contain instructions for building and maintaining an organism, and they are passed down from parents to their offspring through reproduction.

Simply comparing the number of calories consumed by two individuals is not a sufficient way to determine who is healthier. While consuming a diet with a variety of vegetables can certainly contribute to good health, there are many other factors that can affect overall health.

For example, the quality and nutrient density of the food consumed is important, not just the quantity. A person consuming 2,000 calories from nutrient-dense whole foods, including a variety of vegetables, may be healthier than someone consuming 2,500 calories from highly processed, nutrient-poor foods.

Additionally, individual factors such as physical activity levels, genetics, and overall lifestyle choices can also impact overall health. Therefore, it is important to take a comprehensive approach to evaluating health rather than relying solely on calorie intake as a metric.

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Answer:

518

Step-by-step explanation:

Since you are rounding to the nearest whole number.

518.1 would need to be 518.5 or higher to be 519 so anything below that would just round up the 518

Answer with explanation:

hope you find this easy to understand....

Have any questions? Write in the comments.

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The required total cost of the tablet computer is $625.87.

let computer that is on sale at 15% off?

A sales discount, also referred to as a "discount," gives customers of a company a discount on one or more of the offered goods or services. Limits can be applied to almost any industry or business offering deals of an item or administration.

The discounted price of the tablet computer is:

[tex]$\begin{align*}708 \times 0.85 &= 601.80\end{align*}[/tex]

The sales tax on the tablet computer is:

[tex]$\begin{align*}601.80 \times 0.04 &= 24.072\end{align*}[/tex]

Therefore, the total cost of the tablet computer, including sales tax, is:

[tex]$\begin{align*}601.80 + 24.072 &= 625.87\end{align*}[/tex]

Therefore, the total cost of the tablet computer is $625.87.

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Answer:

3

Step-by-step explanation:

Answer:

  table 1

Step-by-step explanation:

You want to know which of the four given tables represents a linear function.

The x-values increase by 2; y-values decrease by 2/3. The rate of change is constant. This is a linear function.

The x-values increase by 2; y-values decrease, then increase again. The rate of change is not constant. This is not a linear function.

The x-values increase by 2; y-values increase by changing amounts. The rate of change is not constant. This is not a linear function.

The x-values repeat. This is not a function.

Answer: The answer is B, or 32 m.

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Thw solution to the given system of equations as required to be determined in the task content is; (-1, 0).

It follows from the task content that the solution to the given system of equations is to be determined as required.

since the given equations are;

y = -3x - 3 and y = 4x + 4

Since; y = y

-3x - 3 = 4x + 4

7x = -7

x = -7 / 7

x = -1.

and y = -3 (-1) - 3; y = 0.

Ultimately, the solution (x, y) to the given system of equations as required to be determined is; (-1, 0).

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Answer: No, it’s not a statistical question

Step-by-step explanation:this question only pertains to one person and it not something that can be represented as a statistic.

Answer:

I'm sorry, but your request is unclear. Can you please provide more context or information so that I can better understand and assist you? Thank you.

Answer:

I'm assuming that 1 is actually a point with coordinates (1, something) and you meant the point H(25,-16).

To find the equation of the line passing through two points (x1,y1) and (x2,y2), we can use the point-slope form:

y - y1 = m(x - x1)

where m is the slope of the line, which can be calculated as:

m = (y2 - y1) / (x2 - x1)

Using the points H(25, -16) and 1(-2.5, y), we have:

m = (-16 - y) / (25 - (-2.5)) = (-16 - y) / 27.5

Multiplying both sides by 27.5, we get:

-16 - y = -0.58x + b

where x is the x-coordinate and b is the y-intercept of the line. To find b, we plug in one of the points (let's use H) and solve for b:

-16 - (-16) = -0.58(25) + b

b = -16 - (-14.5) = -1.5

Therefore, the equation of the line passing through H(25, -16) and 1(-2.5, y) is:

y + 1.5 = -0.58(x + 2.5)

or:

y = -0.58x - 4.25

Note: I assumed that you meant H(25,-16) and I used -2.5 as the x-coordinate for point 1 because you didn't specify what it was.

Answer:

2640.74

Step-by-step explanation:

Circumference : π  * 2r

Area of circle : π  * [tex]r^{2}[/tex]

For this particular circumference,

Circumference : π  * 58

58 = 2r

So by dividing we learn that,

r = 29

When we substitute the radius into the equation for area, we get,

Area of circle : π  * [tex]29^{2}[/tex]

Area of circle : π  * 841

Area of circle : 2640.74

* I used 3.14 as π

Hope this helps ! Feel free to ask questions! : )

Answer: C.5

Step-by-step explanation:

The length of the remaining two equal sides is 17.3 millimeters.

What is Triangle ?

A triangle is a geometric shape that consists of three line segments or sides and three angles. Triangles are one of the basic shapes in geometry, and they are used extensively in many fields of mathematics, science, engineering, and art.

Let's denote the length of the remaining two equal sides by "x".

Since the trapezoid is isosceles, the two equal sides have the same length.

The perimeter of a trapezoid is the sum of the lengths of all its sides. Therefore, we can set up an equation based on the information given:

shorter base + longer base + 2(equal sides) = perimeter

Substituting the values we know, we get:

9.2 + 12.4 + 2x = 56.2

Simplifying the equation:

21.6 + 2x = 56.2

2x = 34.6

x = 17.3

Therefore, the length of the remaining two equal sides is 17.3 millimeters.

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Answer:

then he's scored all the goals 9/9

The value of P and Q is 35.

Let's first understand the given information:

Charles has two six-sided dice, one fair and one biased. The fair die has equal probabilities for each side (1/6). The biased die has a 2/3 probability for rolling a six and 1/15 probability for each of the other five sides. Charles chooses a die randomly and rolls it three times.

Given that the first two rolls are sixes, we are asked to find the probability that the third roll will also be a six, expressed as a simplified fraction p/q.

We can solve this problem using conditional probability. Let A be the event that Charles chooses the biased die, and B be the event that he rolls three sixes in a row. We want to find the probability of B given A.

P(B|A) = P(A ∩ B) / P(A)

Since Charles chooses the die randomly, P(A) = 1/2. To find P(A ∩ B), we need to find the probability that Charles chooses the biased die and rolls three sixes in a row. This can be calculated as:

P(A ∩ B) = P(A) * P(rolling three sixes with the biased die) = (1/2) * (2/3)^3

Now we can find P(B|A):

P(B|A) = P(A ∩ B) / P(A) = ((1/2) * (2/3)^3) / (1/2) = (2/3)^3 = 8/27

Thus, the probability that the third roll will also be a six, given that the first two rolls are sixes, is 8/27, so the answer is p + q = 8 + 27 = 35.

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The measure of the smallest angle, angle Q, is approximately 41°.

To find the smallest angle in the triangle with side lengths 4, 5, and 6, we can use the cosine rule.

The cosine rule states that for any triangle with sides a, b, and c and corresponding angles A, B, and C:
[tex]cos(A) = (b^2 + c^2 - a^2) / (2 * b * c)[/tex]
In our case, since we want to find the smallest angle, we need to find the angle opposite the smallest side.

The smallest side is 4, so we are looking for angle A.

The other sides, b and c, are 5 and 6 respectively.
Step 1: Plug in the side lengths into the cosine rule formula.
[tex]cos(A) = (5^2 + 6^2 - 4^2) / (2 * 5 * 6)[/tex]
Step 2: Calculate the values inside the parentheses.
cos(A) = (25 + 36 - 16) / (60)
Step 3: Simplify the equation.
cos(A) = (45) / (60)
Step 4: Divide the numbers.
cos(A) = 0.75
Step 5: Now, to find angle A, take the inverse cosine [tex](cos^(-1))[/tex] of the result.
A = cos^(-1)(0.75)
Step 6: Calculate the angle in degrees.
A ≈ 41.41°
Step 7: Round the angle to the nearest whole degree.
A ≈ 41°.

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The break-even point is 54,000 units given the cost function and revenue function.

The break-even point is the moment at which a product's sales revenue equals its production costs. There is currently neither a gain nor a loss.

This problem's cost function is C(x) = 0.75x + 63,180, where x is the total number of created units. R(x) = 1.92x, where x is the quantity of units sold, is the revenue function.

We must set the revenue equal to the expense in order to determine the break-even point:

R(x) = C(x) (x)

1.92x = 0.75x + 63,180

1.17x = 63,180

x = 54,000

Thus, 54,000 units are needed to break even.

This means that the money earned will be equivalent to the cost of creating the product if the company produces and sells 54,000 units of it. The corporation will make money on any units sold over this threshold while losing money on any units sold below it.

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The circumference of the base of a circular flower pot with a diameter of 16.2 is 50.92.

Circumference of the circle or perimeter of the circle is the measurement of the boundary across any two-dimensional

circular shape including circle.

The circumference of a circle is the distance around its boundary.

If d is the diameter of the circle, then the circumference is given by:

Circumference = π × d

Circumference = π × 16.2

Using π ≈ 3.1415926,

we can calculate the circumference:

Circumference ≈ 3.1415926 × 16.2

Circumference ≈ 50.92

Therefore, the circumference of the base of a circular flower pot with a diameter of 16.2 is approximately 50.92.

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It is true that +10 and -10, are 10 units from 0 on the number line

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

Numbers = +10 and -10

The number of units of these numbers from 0 is calculated as

Units = |0 - Number|

So, we have

Units = |0 - 10| = 10

Units = |0 + 10| = 10

This means that the number of units is 10

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Answer: The answer is (B) 16.5%.

Step-by-step explanation: