Let tan x = 7/24 , where sin x > 0. Find the exact value of sin x.

The equation of a circle centered at the origin that has a radius of 8 is: D. x² + y² = 64.

In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²

Where:

Substituting the given points into the equation of a circle formula, we have the following;

(x - h)² + (y - k)² = r²

(x - 0)² + (y - 0)² = 8²

x² + y² = 64.

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Answer:

x[tex]\geq[/tex] 3

Step-by-step explanation:

-4x -2 ≤ -14
-4x ≤ -12
x ≥ 3

Answer:

X    Y

0    0

2   -3

Step-by-step explanation:

The slope should look like this photo.

On solving the provided question, we can say that the function is

and f(-2) = -13 and f(0) = 3

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

the function is

= 3 -  4(4)

= 3 - 16

=-13

= 3 - 4(0)

= 3 - 0

= 3

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Answer: approximately 40lbs.

Step-by-step explanation:

First, you multiply 20kg to 10%, or 0.10.

20(0.10)=2kg

Then you minus the 2kg from the initial weight

20kg

-2kg

18kg

1 kg is approximately 2.20462262 lbs., so you need to convert your kg to lbs

18kg * 2.20462262 lb/kg = 39.68320716 which is rounded up to approximately 40lbs

Hope that helps!

Answer:

Step-by-step explanation:

To find the height of the rocket, we can use the tangent function. We know the angle of elevation (75°), the height of Homer's eyes (1.8 meters), and the distance from Homer to the rocket (8 meters), so we can use the formula:

tan(angle) = height / distance

We'll solve for the height:

height = distance * tan(angle)

height = 8 * tan(75°)

However, we need to convert the angle from degrees to radians first, as the tangent function operates in radians. We can use the formula:

radians = degrees * (π / 180)

radians = 75° * (π / 180) = 1.309 radians

Now, we can substitute the value for the angle in radians back into the original equation:

height = 8 * tan(1.309)

Using a calculator, we can find that the height is approximately 15.57 meters.

So, the height of the rocket is approximately 15.57 meters.

The value of the expression [tex]14\frac{1}{4} -10\frac{3}{7}[/tex] is 107/28.

A fraction represents a part of a whole.

The given expression is [tex]14\frac{1}{4} -10\frac{3}{7}[/tex]

A proper fraction is a fraction that has no whole number part and its numerator is smaller than its denominator.

An improper fraction is a fraction that has a larger numerator than denominator and it represents a number greater than one.

[tex]14\frac{1}{4}[/tex] to improper fraction is 57/4

[tex]10\frac{3}{7}[/tex] to improper fraction is 73/7

Now 57/4-73/7 we have to solve

LCM of 4 and 7 is 28

399-292/28

107/28

Hence, 107/28 is the value of the expression [tex]14\frac{1}{4} -10\frac{3}{7}[/tex]

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The volume of the rectangular pyramid is 64 cubic feet.

A pyramid with a rectangular base is known as a rectangle pyramid. When viewed from the bottom, this pyramid seems to be a rectangle. As a result, the base has two equal parallel sides.

The apex, which is located at the summit of the pyramid's base, serves as its crown. Right or oblique pyramids can be seen in rectangular shapes. If it is a right rectangular pyramid, the peak will be directly over the base's center; if it is an oblique rectangular pyramid, the apex will be angled away from the base's center.

The volume of a rectangular pyramid is given as:

V = (l)(b)(h) / 3

V = (6)(8)(4) / 3

V = 192 / 3

V = 64 cubic feet.

Hence, the volume of the rectangular pyramid is 64 cubic feet.

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The correct question is:

Answer:

132ft

Step-by-step explanation:

The height of the Great Sphinx can be found by using the relationship between the height of an object, the length of its shadow, and the angle of elevation of the sun.

Let h1 be the height of the Great Sphinx and h2 be the height of the person. We know that the length of their shadows are 220 ft and 20 ft, respectively.

Since the sun is at the same elevation for both objects, we can set up the following proportion:

h1/220 = h2/20

Cross multiplying, we get:

h1 = (h2 * 220) / 20

Plugging in h2 = 6 ft, we get:

h1 = (6 * 220) / 20 = 132 ft

So, the height of the Great Sphinx is approximately 132 ft.

Thus, the correct answer is 132 ft, which is not in the options provided, but it is a reasonable estimate of the height of the Great Sphinx.

Answer: The final balance is $11,015.84.

The total compound interest is $3,845.84.

The number of boxes of donuts he can buy is 3.

An expression contains two variables or numbers with addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

A box of dozen donuts costs = $6.50

Amount taken = $25

The number of boxes of donuts he can buy.

= 25 ÷ 6.50

= 3.85

Thus,

The number of boxes of donuts he can buy is 3.

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Square , triangle and hexagon are  the type of regular polygons that surround each vertex.

The angles are 60° , 90° , 90° , 120° .

From the given figure , it can be concluded that ,Square , triangle and hexagon are  the type of regular polygons that surround each vertex.

Since , at each vertex they are one triangle , two squares and one hexagon therefore we can say that

The number of angles are 60° , 90° , 90° and 120°.

The tessellation is possible because the sum of measures of all angles that come together at the vertex is 360°

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The sample space for pulling 2 marbles  to find the probability will be List 3.

Probability conveys how likely an event is to occur. The occurrence of a random event is the focus of this mathematical field of study. The value is in the zero to one range. Mathematicians use probability to predict the likelihood that certain events will take place.

The possibility of something happening is referred to as probability. The probability distribution also utilises this basic concept from probability theory. We must first ascertain the total number of possibilities before calculating the likelihood of a specific event.

The proportion of favourable outcomes to all possible outcomes, or P(E), determines the likelihood that an event will take place.

Now,

Given that Lloyd has a bag of 3 marbles. There is 1 orange marble, 1 green marble, and 1 blue marble.

So no. of ways to pick first ball = 3

as there are three type of balls

and no. of ways to pick second ball= 3 as replacement is allowed.

Therefore total sample space = 3*3=9

Hence,

         The sample space for pulling 2 marbles will be List 3.

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A division problem that would lead to a division remainder of 400 is 2, 400 ÷ 500.

You need to find a division problem where the quotient would be such that there would be a remainder of 400.

In that case, the first thing to do is to ensure that the divisor is greater than 400. If it is less, then the remainder cannot be 400.

We can the pick the next hundred after 400 which would be 500. Then, we need to find a number that when divided by 500, would result in 400 as a remainder.

This can be 900, 1, 400, 1, 900, 2, 400 etcetera.

The trick is to ensure that the number is 400 more than a multiple of 500.

Picking 2, 400, the division is therefore:

= 2, 400 ÷ 500

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Answer:3/a-6

Step-by-step explanation:

The order of the numbers from greatest to least are 3.406 > 305 / 100 > 99 × 1/100

Descending order refers to the arrangements of numbers from the greatest to the least.

On the other hand, ascending order is the arrangement of numbers from the least to the greatest.

3.406

305 / 100

= 3.05

99 X 1/100

= 99 × 0.01

= 0.99

Therefore, the arrangements from greatest to least is 3.406, 305 / 100, 99 × 1/100

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Answer: Scalene Right

Step-by-step explanation:

None of the side lengths are equal and there's a 90 degree angle

Answer:

maybe your friend gets stuck because youre not supposed to divide the denominator, only make a common one by multiplying one or both untill they are the same. Least common multiples

The 50% of the data lies above is 49.5. it is called the median.

What is the upper quartile?

Assume that Q₃ represents the upper quartile, which is the median of the data set's upper half. In contrast, Q₁ represents the median and lower quartile of the lower half of the data set. The median is Q₂. Consider a data set that contains n items. The quartiles are then provided by:

Q₁ = [(n+1)/4]

Q₂ = [(n+1)/2]

Q₃ = [3(n+1)/4]

this item

The 50% of the data is median.

The formula of median is

(n+1)/2 th term

The given data is 41, 43, 49.5, 56, and 58.

The number of items is n = 5.

The median of the data is (5+1)/2 the term = 3rd term.

The third term of the data is 49.5.

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Luego de el 15% de iva, el precio será 9001.51

Si le aplicamos un incremento de un porcentaje x a un precio P, entonces el nuevo precio será:

P' = P*(1 + x)

Donde x es el porcentaje en forma decimal.

En este caso tenemos un 15% de IVA, entonces x = 0.15

Y el precio original es 7827.40

Entonces el nuevo precio será:

P' = 7827.40*(1 + 0.15) = 9001.51

Esa es la cantidad que Luis pago.

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The slope of the line passing through the points (8, -4) and (8, -7) is undefined.

The slope of the line passing through the points (-3, -9) and (-3, 9) is undefined.

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Substituting the given data points into the slope formula, we have the following;

Slope, m = (-7 - (-4))/(8 - 8)

Slope, m = (-7 + 4)/0

Slope, m = -3/0

Slope, m = undefined.

Since the change in the x-axis equals to zero, the slope of the two lines are undefined:

Slope, m = (9 - (-9))/(-3 - (-3))

Slope, m = 18/0

Slope, m = undefined.

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An area of a rectangle is 32x¹²y⁹ square inches and the length is 8x⁴y³ therefore the expression which represents the width of the rectangle in inches is 4x⁸y⁶.

This is referred to as a quadrilateral with four right angles.

Area of rectangle = Length × width

Width = Area/ Length

       =   32x¹²y⁹  /  8x⁴y³

        = 4x⁸y⁶

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The exact measure of an angle whose measure is 18° in radians is; pi over 10.

Recall, it follows from angle measurements that;

π radians ==== 180°

Hence, it follows from proportion that the measure of 18° in radians, x can be determined as follows;

x = 18 π radians / 180

x = π / 10 radians.

Ultimately, the required measure of 18° in radians as required is; π / 10.

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If I am equivalent to 3/2, and sum of my numerator and my denominator is 30. Then, i am a fraction is equals to the 18/12.

I am equivalent to 3/2. Let us assume i am a fraction x/y. That is my denominator of fraction = y

My numerator of fraction = x

Now, according to problem, sum of my numerator and my denominator is 30.

=> x + y = 30 --(1)

Also, difference between my denominator and my numerator is 6.

=> y - x = 6 or -y + x = 6 --(2)

Add eqution(1) and (2)

=> x + y + y - x = 30 + 6 or x + y +x - y = 30 + 6

=> 2y = 36 or 2x = 36

=> y = 36/2 or x = 36/2

=> y = 18 or x = 18

Now, when y = 18 => x = 30 - 18 = 12

similarly, x = 18 , => y = 12

so, possible fraction are 12/18 = 2/3 or 18/12 = 3/2, but my fraction is equivalent to 3/2 not 2/3. Therefore, the required fraction is 18/12

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Complete question :

I am equivalent to 3/2 . The sum of my numerator an my denominator is 30 . The difference between my denominator and my numerator is 6 . What fraction am I?

The polynomial function of degree 4 is,

⇒ f (x) = 5 (x + 3)² (x - 3)²

Relation between set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable and another variable.

Given that;

Zeroes of function is,

⇒ -3 (multiplicity 2) and 3 (multiplicity 2),

And, It passes through the point (-4,245).

Now, The polynomial function of degree 4 is,

⇒ f (x) = A (x - (- 3))² (x - 3)²

⇒ f (x) = A (x + 3)² (x - 3)²

Since, It passes through the point (-4,245).

Hence, Put x = - 4, y = 245

⇒ 245 = A (- 4 + 3)² (- 4 - 3)²

⇒ 245 = A (- 1)² (- 7)²

⇒ 245 = A × 49

⇒ A = 245/49

⇒ A = 5

Thus, The polynomial is,

⇒ f (x) = A (x + 3)² (x - 3)²

⇒ f (x) = 5 (x + 3)² (x - 3)²

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A customer has 4 x 2 x 3 = 24 different car models to choose from if the customer can choose one type of audio system, one style of roof, and one type of seat cover.

Answer:

(6, 1)

Step-by-step explanation:

When a point is reflected over the x-axis, its y-coordinate changes sign. When a point is reflected over the y-axis, its x-coordinate changes sign.

So, when point Q, located at (-6,-1), is reflected over the x-axis to create point Q', the new point has the same x-coordinate and a y-coordinate of -1 to 1 = 1. So, Q' is located at (-6, 1).

Next, when Q' is reflected over the y-axis to create Q'', the new point has the same y-coordinate and an x-coordinate of -6 to 6 = 6. So, Q'' is located at (6, 1).

So, the ordered pair that describes the location of Q'' is (6, 1).

Step-by-step explanation:

you draw a circle ⭕ then you do lines inside the circle the you write the numbers aside

Answer:  I can explain the steps for calculating descriptive statistics for the given data.

For the "number" column:

Mean: To find the mean, add up all the values and divide by the number of values.

Median: To find the median, arrange the values in numerical order and find the middle value. If there is an even number of values, take the average of the two middle values.

Mode: To find the mode, find the value that appears most frequently. If there is no value that appears more than once, then there is no mode.

Maximum: To find the maximum, find the largest value in the list.

Minimum: To find the minimum, find the smallest value in the list.

For the "percent" column:

Mean: To find the mean, add up all the values and divide by the number of values.

Median: To find the median, arrange the values in numerical order and find the middle value. If there is an even number of values, take the average of the two middle values.

Mode: To find the mode, find the value that appears most frequently. If there is no value that appears more than once, then there is no mode.

Maximum: To find the maximum, find the largest value in the list.

Minimum: To find the minimum, find the smallest value in the list.

Regarding the statistics on children whose parents do not have secure employment, it can be determined how each state compares to the surrounding states by comparing the mean, median, and mode of the "number" and "percent" columns. The state with the best or worst data can be determined by comparing the maximum and minimum values in each column. The value that gives a better comparison would depend on the purpose of the analysis. If the goal is to understand the overall number of children affected, then the "number" column would be more appropriate. If the goal is to understand the proportion of children affected in each state, then the "percent" column would be more appropriate.

Step-by-step explanation: