What is the area of the parallelogram?



80 cm 2
40 cm 2
29 cm
58 cm 2

Answer:

Step-by-step explanation:  Hello!

I don't remember all of the postulates to these, but I hope this will help you! Vertical angles are congruent, so both angles SRT and PRQ are congruent.  This also means that line segments PQ and ST are congruent.  You also know that angles Q and S are congruent which is given.  By the ASA Theorem, when two angles and a side are congruent, then the triangles are congruent.

Answer:

6

Step-by-step explanation:

TV(19)- UV(13) = TU(6)

Just draw a number line like this:

T---U----V

? ¹³

¹⁹

Answer:

6

Step-by-step explanation:

Since we know that U is on TV, this means that:

\(TV=TU+UV\)

We already know that UV is 13 and TV is 19. Substitute:

\(19=TU+13\)

Subtract 13 from both sides:

\(TU=6\)

And we're done!

Sketch:

T------------U--------------------------V

Answer:

For First Question i had answered

The attachment is the answer

Step-by-step explanation:

For question 1 i am not sure

Hope It Helps!!!

The term "arc" is used to describe units of measure for angular distance because it refers to the length of an arc on a circle.

Angular distance is the measure of the separation between two points on a circle or an arc. The term "arc" is used to describe this measure because it refers to the length of the arc connecting the two points on the circle.

This length is a fraction of the circumference of the circle and is proportional to the angle between the two points. The use of the term "arc" in this context is a nod to the geometric origins of angular measurement, which is based on the properties of circles and their angles.

The most common units of angular measurement are degrees, minutes, and seconds, which are all based on the division of a circle into 360 equal parts (degrees) and further subdivisions (minutes and seconds).

Other units of angular measurement, such as radians and gradians, are also based on the properties of circles and their angles.

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The answer to the word problem is 14 2/3.

A fraction shows part of a whole. This whole can be a region or a collection. The word fraction is derived from the Latin word "fractio" which means 'to break'. fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Expressing the word problem into an expression;

2 3/4 x 5 1/3

= 11/4 x 16/3

= 44/3

= 14 2/3

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Stack the numbers on top of each other so the decimals are lined up. Get rid of the decimals and then multiply. Put the decimal point back in directly under where it was before

Answer:

-1

Step-by-step explanation:

By using a maclaurin series to obtain the maclaurin series for the given function is  F(x) = x cos(5x) = \(1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...\)

To obtain the Maclaurin series for the function f(x) = x cos(5x), we need to write the Maclaurin series for cos(5x). The Maclaurin series for cos(x) is: \(cos(x) = 1 - x^2/2! + x^4/4! - x^6/6! + ...\)

Using this formula, we can substitute 5x for x and obtain the Maclaurin series for cos(5x): cos(5x) =\(1 - (5x)^2/2! + (5x)^4/4! - (5x)^6/6! + ...\)

\(= 1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...\)

We can substitute this series into the original function f(x) = x cos(5x) and obtain its Maclaurin series: f(x) = x cos(5x)

\(= x[1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...]\)

\(= x - 25x^3/2! + 625x^5/4! - 15625x^7/6! + ...\)

This is the Maclaurin series for the function f(x) = x cos(5x). It is obtained by substituting the Maclaurin series for cos(5x) into the original function and simplifying the resulting series. Maclaurin series are useful for approximating functions using polynomials. By truncating the series after a certain number of terms, we can obtain a polynomial that approximates the original function to a certain degree of accuracy. The accuracy of the approximation depends on the number of terms in the series that are used. The more terms we include, the more accurate the approximation will be.

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By the Triangle Sum Theorem, x + y + a = 180° and x + y + b = 180°. By substitution, x + y + a = 180°. Subtract equal quantities from both sides to get a = b.

In Mathematics, a triangle is a two-dimensional geometric shape that comprises three sides, three vertices and three angles only.

Furthermore, the sum of the angles in a triangle is equal to 180. This ultimately implies that, we would sum up all of the angles as follows;

x + y + b = 180°

By substitution, we have the following:

x + y + a = 180°

Next, we would subtract equation 1 from equation 2, we have:

a - b = 0

a = b (Prove).

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The equation that is equivalent to quadratic equation x^ 2-8x+19=0 is

(x-4)^ 2+k = 0 using quadratic equation properties .

What is quadratic equation ?

A quadratic equation is a second order equation written as ax2 + bx + c = 0 where a, b, and c are coefficients of real numbers and a ≠ 0.

Properties of graph of quadratic equation :

1. The shape of curve y = f(x) is a parabola.

2. If a>0, the parabola opens upwards.

3. If a<0, the parabola opens downwards.

4.The coordinates of vertex of parabola in all these cases is

(-b/2a , -D/4a).

The given equation is x^ 2-8x+19=0

a  = 1,

b = -8,

c = 19.

As a>0, 2nd property is correct i.e. no maximum value , only minimum value can be find that will be at vertex.

So, the vertex = (4,3)

The minimum value = 3 at 4.

So, the value of k = 3,

Given equation can be written as x^ 2-8x+16+3 = 0.

                                                      = (x-4)^ 2 +3 = 0.

The option A is correct.

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Answer:

$54.01

Step-by-step explanation:

All you have to do is $300.00-$245.99 .

48.6-1.8=46.8

46.8/3=15.6

$15.60 per CD :)

The qualitative forecasting method is the Delphi method. This method is used to obtain opinions and judgments from experts and knowledgeable individuals on a particular topic or issue.

Qualitative forecasting methods are used when there is little historical data available or when the future is uncertain and unpredictable. These methods rely on subjective judgments and opinions from experts in the field rather than on statistical or mathematical models.

The Delphi method is a popular qualitative forecasting technique used in many industries such as healthcare, business, and technology. It is often used when there is a lack of historical data or when the future is highly uncertain and complex. In the Delphi method, experts are asked to provide their opinions on the future based on their knowledge and experience in the field. These opinions are then analyzed, and a consensus is reached on the likely future outcome.

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The Delphi method is a qualitative forecasting method. It makes use of the judgement and opinions of experts, unlike quantitative forecasting methods like linear regression, naive approach and trend projection which use statistical analysis of historical data.

The given question is asking to identify a

qualitative forecasting method

from the given options.

Qualitative forecasting

techniques are generally used when data is not available. These methods rely mostly on the judgment and opinions of experts. The options provided are linear regression, naive approach, Delphi method, and trend projection. Among these choices, the

Delphi method

is a qualitative forecasting method. It encompasses a group of experts who anonymously reply to questionnaires and subsequently receive feedback in the form of a statistical representation of the 'group response,' after which the process repeats. By contrast, linear regression, naive approach, and trend projection are quantitative forecasting methods which use numerical data for predictions.

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Each bag of onions costs $3.70.

Given that Santiago buys milk and onions at the store and he pays a total of $25.78, and he pays a total of $3.58 for the milk and he buys 6 bags of onions that each cost the same amount, to determine an equation which can be used To determine how much each bag of onions costs, the following calculation must be made:

Therefore, each bag of onions costs $3.70.

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Answer:

8 customers

Step-by-step explanation:

it's given in the question clearly lol

Answer:

31.4

Step-by-step explanation:

5 x 2 x 3.14 (pi) = 31.4 rounded.

It's given that 33.1% of all registered doctors were female, corresponding to 53700 female registered doctors.

It's required to find the total number of registered doctors.

The total number of doctors corresponds to 100%, so we use the inverse percentage calculation:

There were 162236 doctors in total

Maclaurin series of `f(x)` is given by:f(x) = `f(0)` + `f'(0)x` + `(f''(0)/2!) x²` + `(f'''(0)/3!) x³` + `(f⁴(0)/4!) x⁴` + `(f⁵(0)/5!) x⁵` + `(f⁶(0)/6!) x⁶` = `0 + 0x + 0x² + 0x³ + 0x⁴ + 0x⁵ + (7200/6!)x⁶` = `10x⁶`

Answer: `10x⁶`.

The given function is `f(x) = x⁶ sin(10x⁵)`. We need to find the Taylor series of `f` centered at `0` (Maclaurin series of `f`).

Formula used: The Maclaurin series for `f(x)` is given by `f(x) = f(0) + f'(0)x + (f''(0)/2!)x^2 + (f'''(0)/3!)x^3 + ...... + (f^n(0)/n!)x^n`.

Here, `f(0) = 0` because `sin(0) = 0`.

Differentiating `f(x)` and its derivatives at `x = 0`:`f(x) = x⁶ sin(10x⁵)`

First derivative: `f'(x) = 6x⁵ sin(10x⁵) + 50x¹⁰ cos(10x⁵)`

Differentiate `f'(x)`

Second derivative: `f''(x) = 30x⁴ sin(10x⁵) + 200x⁹ cos(10x⁵) - 250x¹⁰ sin(10x⁵)`

Differentiate `f''(x)`

Third derivative: `f'''(x) = 120x³ sin(10x⁵) + 1800x⁸ cos(10x⁵) - 2500x⁹ sin(10x⁵) - 5000x²⁰ cos(10x⁵)`

Differentiate `f'''(x)`

Fourth derivative: `f⁴(x) = 360x² sin(10x⁵) + 7200x⁷ cos(10x⁵) - 22500x⁸ sin(10x⁵) - 100000x¹⁹ cos(10x⁵) + 100000x²⁰ sin(10x⁵)`

Differentiate `f⁴(x)`

Fifth derivative: `f⁵(x) = 720x sin(10x⁵) + 36000x⁶ cos(10x⁵) - 112500x⁷ sin(10x⁵) - 1900000x¹⁸ cos(10x⁵) + 2000000x¹⁹ sin(10x⁵)`

Differentiate `f⁵(x)`

Sixth derivative: `f⁶(x) = 7200 cos(10x⁵) - 562500x⁶ cos(10x⁵) + 13300000x¹⁷ sin(10x⁵)`

Evaluate at `x = 0`:

The derivatives of `f(x)` evaluated at `x = 0` are:f(0) = 0f'(0) = 0f''(0) = 0f'''(0) = 0f⁴(0) = 0f⁵(0) = 0f⁶(0) = 7200

Maclaurin series of `f(x)` is given by:f(x) = `f(0)` + `f'(0)x` + `(f''(0)/2!) x²` + `(f'''(0)/3!) x³` + `(f⁴(0)/4!) x⁴` + `(f⁵(0)/5!) x⁵` + `(f⁶(0)/6!) x⁶` = `0 + 0x + 0x² + 0x³ + 0x⁴ + 0x⁵ + (7200/6!)x⁶` = `10x⁶`

Answer: `10x⁶`.

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quotient = the answer to a division problem

To divide by a fraction, multiply by the reciprocal of the fraction

reciprocal of a fraction = the numerator and denominator are reversed

First, convert "three and two thirds" into an improper fraction:

\(3\dfrac{2}{3}\)

⇒ Multiply the whole number by the denominator and add the numerator:

\(\dfrac{11}{3}\)

Now, we want to divide this number by three fifths:

\(\dfrac{11}{3}\div\dfrac{3}{5}\)

⇒ Dividing by a fraction is the same as multiplying by its reciprocal:

\(= \dfrac{11}{3}\times\dfrac{5}{3}\\\\=\dfrac{55}{9}\)

\(\dfrac{55}{9}\)

theannswer wold be 100 .33 .87

Answer:The answer will be 35ft

Step-by-step explanation:

One way that you can answer this is by using sin law. You will put the length of a side on top and the corresponding angle that faces towards that side at the bottom of a fraction. So for this one it will be 30/sin(70) = x/sin(90) The 90 comes from the bottom of the building with the ground. And the side the angle faces is the ladder. After that you put 30sin(90)/sin(70) to find x. And you get 34.655 which rounds to 35 ft.

Answer:

75%

Step-by-step explanation:

Percent yield = experimental yield / theoretical yield * 100

= 900 / 1200 * 100   (remember that 1,000 g = 1 kg)

= 75

The maximum volume of the rectangular box is 975,000 cubic cm, and the minimum volume is 405,000 cubic cm.

Let's solve the problem step by step. We are given that the surface area of the rectangular box is 9000 square cm and the sum of the lengths of all edges is 520 cm. We need to find the maximum and minimum volumes of the box.

To find the maximum volume, we need to consider the case where the box is a cube. In a cube, all sides have equal lengths. Let's assume the length of each side is 'a'.

The surface area of a cube is given by 6a^2, and in this case, it is equal to 9000 square cm. So we have:

\(6a^2 = 9000\)

Dividing both sides by 6, we get:

\(a^2 = 1500\)

Taking the square root of both sides, we find:

\(a = \sqrt{1500} \\= 38.73 cm\)

The sum of the lengths of all edges of a cube is given by 12a, so we have:

12a = 12 * 38.73

= 464.76 cm

The maximum volume of the cube-shaped box is:

\(a^3 = 38.73^3\)

= 975,000 cubic cm.

To find the minimum volume, we need to consider the case where the box is not a cube. In this case, let's assume the lengths of the sides are 'x', 'y', and 'z'. We know that the sum of the lengths of all edges is 520 cm, so we have:

4(x + y + z) = 520

Dividing both sides by 4, we get:

x + y + z = 130

We need to maximize the volume of the box, which occurs when the sides are as unequal as possible.

In this case, let's assume x = y and z = 2x. Substituting these values into the equation above, we have:

2x + 2x + 2(2x) = 130

Simplifying, we get:

6x = 130

x = 21.67 cm

Substituting the values of x and z back into the equation, we find:

y = 21.67 cm and z = 43.33 cm

The minimum volume of the rectangular box is:

x * y * z = 21.67 * 21.67 * 43.33

= 405,000 cubic cm.

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answer: 0.3

good luck!

Answer:

0.3 or 3/10

Step-by-step explanation:

Answer:

I think in this case, the triangles are similar based on the Side-Angle-Side rule.

Step-by-step explanation:

Sides:

9:3 = 12:4

Angle:

C : C'

Answer:

\(2903040\)

Step-by-step explanation:

Answer:

2,903,040 is correct answer

Answer: choice A

Step-by-step explanation:

The linear inequality represented by the graph  is y≥1/3x-1

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Let us find slope of line passing through points (0, -1) and (3, 0)

Slope = 0+1/3

=1/3

y intercept we have to find

0=1/3(3)+b

b=-1

So equation of line is y=1/3x-1

As the shading is away from origin, we use the greater than or equal to symbol.

y≥1/3x-1

Hence, the linear inequality represented by the graph  is y≥1/3x-1

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Answer:

Two expressions for the perimeter would be

22x+23 and 2x+3x+17x+7+16

Step-by-step explanation:

you want to add the variables of the same kind in this case

2x        

3x         7

17x       16

_________

22x  +     23

Answer:

36 ft

Step-by-step explanation:

Side = 8-3 = 5

6 x 5 = 30

3 x 2 = 6

Answer:

390 /1000

=

39 /100

(Decimal: 0.39)

Step-by-step explanation:

Hope this helps!