simplify 125 xy^3/5x^3y^3 simplify

Answer:

-2

Step-by-step explanation:

3(x)+4
3(-2)+4

-6+4

-2

In the given triangle equations AC² = AB² + BC², AB² = AD² + BD² and BC² = CD² + BD² are true.

A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any angle is a right angle.

Given that,

ABC is a right-angle triangle. And BD is perpendicular to AC.

To show the equations which are true,

Use the Pythagorean theorem,

(Hypotenuse)² = (base)² + (height)²

In triangle ABC,

AC² = AB² + BC²

In triangle ABD,

(AB)² = AD² + BD²

And in triangle BCD,

BC² = CD² + BD²

Therefore, options (2), (3), and (6) are correct. Those are the only equation satisfying the Pythagorean theorem.

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15. Triangle FLW is not congruent with triangle YLW

16. triangle TNS is congruent with triangle UHS by AAS

Triangles are said to be congruent when the sides and angles equal in accordance to to the triangle congruency rules

Some of the rules include

Side -  Side - Side = SSS

Side - Angle - Side = SAS

Angle - Side - Angle = ASA

Angle - Angle - Side = AAS

Hypotenuse and one leg = HL

The problem requires the prove by Angle - Angle - Side = AAS and Side - Angle - Side = SAS to ensure that the the triangles are congruent

The AAS have it that the two triangles being compared should have their two angles and the not included side being are equal hence 16 is correct

The SAS require that the two sides and the included angel are equal while in 15, the two sides and the not included angle is what was used making it wrong.

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Madison and her brother drove around the perimeter of their neighborhood looking for their cat. The diagram above shows the path they drove. In total, 56 kilometers did they drive. This can be solved using the concept of rectangular perimeter.

The circumference of a form is known as its perimeter. One must sum the lengths of the all four edges of a rectangular or squares to determine its perimeter. In this instance, the rectangle's length is represented by x and its width by y. P = 2 (x+y), which is the perimeter.

The diagram is actually looks like a rectangle.

Here the length becomes = 10 km

and breadth = 18 km

The question mark here is: 18 -10 = 8km

so, perimeter = 2 (length + breadth)

perimeter = 2 (18 + 10)

perimeter = 56 km.

correct option: b

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Answer: It's less than 1 because we invert the divisor and multiply.

Step-by-step explanation:

There are an improper fraction of 29/20 ounces or a mixed fraction of one whole number and a fraction of 1/20 ounces in the mixture.

We shall add the two fractions 4/5 and 13/20, but firstly we find the lowest common multiple (LCM) of their denominators to enable us get a single denominator before simplifying the numerator.

LCM of 2 and 20 is equal to 20

20/5 = 4 and 20/20 = 1

4/5 + 13/20 = (4×4 + 1×13)/20

4/5 + 13/20 = (16 + 13)/20

(4/5 + 13/20) ounces = 29/20 ounces

Therefore, 29/20 is an improper fraction gotten by adding the fraction of ounces, but when expressed as mixed fraction is one whole number, and a fraction 1/20 ounces in the mixture.

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Answer: The question states that Carla read 11/22 of the pocketbook yesterday and today. The phrase "of the pocketbook" is referring to the entire book, so 11/22 of the entire book has been read by Carla. This fraction represents the proportion or part of the book that has been read, and can be visualized as 11 out of 22 equal parts of the book have been read.

Final Answer = 11/22 of the pocketbook has been read by Carla.

Step-by-step explanation:

The value of x is 4 inches.

It is a polygon having six faces.

The volume of a cube is side³.

We have,

The volume of the small cube is 64 cubic inches.

This means,

Side³ = 64 inches³

x³ = 64 inches³

x = 4 inches

Thus,

x is 4 inches.

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Answer:

y=-3/2x+2

Step-by-step explanation:

3x+2y=4

Subtract 3x from both sides of the equation

2y=-3x+4

Divide both sides by 2

y=-3/2x+2

Change the original equation to slope intercept form (y=mx+b), by moving the x to the other side, and dividing by the y.

y=3/2x+4

An inequality to show the number of tickets that need to be sold is;

x + y ≥ $400

Inequality is simply defined as the comparison and boundary for two non equal values. Thus, we can easily say that inequality compares the values that are non equal.

We are told that the owner wants to make $400 and sets boundary that;

The least amount to make = $400

The highest amount to make = infinite

This introduces relation in inequality as $400 or greater than $400.

Therefore the money made is counted as a combination from child tickets and adult tickets. If x is the amount that is made made through child tickets and y is the amount made from the adults, then we have;

x + y ≥ $400

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There are ''4 negative unit tiles'' are needed to complete the factorization.

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

The equation is,

⇒ x² - x - 12

Now,

Since, The equation is,

⇒ x² - x - 12

Hence,. The prime factorization is,

⇒ x² - 4x + 3x - 12

⇒ x (x - 4) + 3(x - 4)

⇒ (x + 3) (x - 4)

Thus, The correct statement is,

⇒ 4 negative unit tiles

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The height of the hill is 607.5 feet.

Johnny is riding a motorcycle uphill. After riding 400 feet, he reaches a height of 270 feet. He must ride another 500 feet to reach the top of the hill.

Therefore, the height of the top of the hill can be calculated as follows:

400 ft =  270 feet

500 feet = ?

cross multiply

height after riding 500 feet = 500 × 270 / 400

height after riding 500 feet = 135000 / 400

height after riding 500 feet = 337.5 ft

Therefore,

height of the top of the hill = 337.5 + 270 = 607.5 ft.

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33°

Since it's a right triangle that has an immediate 90° angle, we have 90°'s left to worry about. We have two angles to worry about it, and since one angle is bigger than the other by 24°, it means that the gap between them is 24°. After doing some mental math, you get 57° + 33°. The gap between them is 24°, and they add up to 90°. Finally, since you're looking for the smaller angle in this problem, then 33° would be your answer.

Answer

They would both be (0,-7)

Step-by-step explanation:

The reflection Is pretty much the opposite of the line on the graph. Think of it as looking in a mirror. 0 has no opposite, and -7 is the opposite of 7.

If Suellen has been taking dance lessons for Y years, then Tara is taking dance lessons for Y+4 years.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given that, Suellen and Tara both take dance lessons. This Is Suellen’s first year, while this is Tara’s fifth year of dance lessons.

If Suellen has been taking dance lessons for Y years.

Then, the number of Tara taking lessons Y+4.

Therefore, Tara is taking lessons for Y+4 years.

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"Your question is incomplete, probably the complete question/missing part is:"

Suellen and Tara are in sixth grade, and both take dance lessons at Twinkle Toes Dance Studio. This Is Suellen’s first year, while this is Tara’s fifth year of dance lessons. Both girls plan to continue taking lessons throughout high school.

If Suellen has been taking dance lessons for Y years, how many years has Tara been taking lessons?

Step-by-step explanation:

Time (in years) = (733,500 baht - 450,000 baht) / (450,000 baht * 9%)

Plugging in the values, we get:

Time (in years) = (733,500 baht - 450,000 baht) / (450,000 baht * 0.09)

Time (in years) = (283,500 baht) / (40,500 baht)

Time (in years) = 7 years

Answer: 3/4  =   18/24   4/6=16/24  \ Chandler swam more.

Step-by-step explanation:

Answer:

The answer is $10

Step-by-step explanation:

It means she paid tax of $8.60 which is 6%

So,

(8.60 × 6) ÷ 100

51.6/100 = $0.516

Here, The tax was $0.516

Total cost of meal

= $0.516 + $8.60 = $9.116 (including tax)

(9.116 × 10) ÷ 100 = $0.9116

Total cost (including tip)

= $9.116 + $0.9116 = $10.0276 ≈ $10

Thus, Tara spend $10 altogether.

The number of cups for small pitchers = 2

The number of cups for large pitchers = 4.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Two small pitchers and three large pitchers can hold a total of 16 cups of water.

And, The large pitcher holds 2 more cups of water than the small pitcher.

Now,

Let number of cups for small pitchers = x

And, The number of cups for large pitchers = y

Here, Two small pitchers and three large pitchers can hold a total of 16 cups of water.

So, We can formulate;

⇒ 2x + 3y = 16  .. (i)

And, The large pitcher holds 2 more cups of water than the small pitcher.

So, We get;

⇒ y = 2 + x  .. (ii)

Substitute the value of y from (ii) in (i), we get;

⇒ 2x + 3 (2 + x) = 16

Solve for x as;

⇒ 2x + 6 + 3x = 16

⇒ 5x = 16 - 6

⇒ 5x = 10

⇒ x = 2

And, From (ii);

⇒ y = 2 + x

⇒ y = 2 + 2

⇒ y = 4

Thus, The number of cups for small pitchers is 2

The number of cups for large pitchers is 4.

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The approximate surface area of the cone is equal to: B. 103.6 in².

Mathematically, the surface area (SA) of a cone can be calculated by using this mathematical expression:

Surface area (SA) of a cone = πr(l + r)

Where:

Note: Radius = diameter/2 = 6/2 = 3 inches.

Substituting the given parameters into the surface area (SA) of a cone formula, we have the following;

Surface area (SA) of a cone = πr(l + r)

Surface area (SA) of a cone = 3.14 × 3(8 + 3)

Surface area (SA) of a cone = 3.14 × 3(11)

Surface area (SA) of a cone = 103.6 in²

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Answer:

The three properties of congruence are reflexivity, symmetry, and transitivity. These properties can be applied to segments, angles, triangles, or any other shape.

The point that is plotted on the chart is calculated by taking the absolute value of the difference between successive observations. yes , it is a true statement  for absolute value

What does an I-MR chart tell you?

An I-MR chart is a combination of control charts used to monitor the process variability (as the moving range between successive observations) and absolute (as the mean) when measuring individuals at regular intervals from a process.

A data series, such as a list of quarterly corporate profits, is a row or column of figures that are input in a worksheet and plotted in your chart. Even if you generated your chart in a different software, like Word, Office automatically associates charts with an Excel-based worksheet.

A data series contains the actual values that are plotted on the chart.

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The  the area and perimeter of the shapes in terms of pi are 36pi - 72.

You should understand that the perimeter of the object is the distance round the object.

A circle's area is calculated as pi*r², so a semicircle is pi*r² / 2, and a quarter circle is pi*r² / 4.

A triangle's area is 0.5*base*height.

We have a quarter circle of radius 12, of which the area is pi*(12² / 4) = 36pi.

The area of the triangle ABC is 0.5*12*12 = 72,

This means that the shaded area is 36pi - 72.

Rather than having to add and subtract the measurements of the semi-circle, notice that the semicircle to the left of AD is actually identical in area to the blank semicircle-shaped space to the left of BC.

So if we transferred the red semicircle into the blank space, we would end up with a square of side length 24 cm. The area of a square is s² = 24² = 676 cm².

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Correct question:

For the figures below, assume they are made of semicircles, quarter circles and squares. For each shape, find the area and perimeter. Give your answer as a completely simplified exact value in terms of π (no approximations).

The value of the W is 1.

What is an equation?

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Given equation is

8 + 4w = 12

If add or subtract or multiply or divide the same number into both sides of an equation, then the equation remains the same.

Subtract 8 from both sides of the equation:

8 + 4w - 8 =12 - 8

4w = 4

Divide both sides by 4:

4w/4 = 4/4

w = 1

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Answer:

The probability Nerissa will choose a purple bow is 40%. The probability that Nerissa will pick a purple bow can be calculated by the formula:

= Number of purple bows / Total number of bows Total number of bows:

= 5 + 1 + 4

= 10 bows Probability of picking purple bow is:

= 4 / 10

= 40%

The probability that Nerissa picks a purple bow is 40%.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The probability Nerissa will choose a purple bow is 40%.

The probability that Nerissa will pick a purple bow can be calculated by the formula:

= Number of purple bows / Total number of bows

Total number of bows:

= 5 + 1 + 4

= 10 bows

Probability of picking purple bow is:

= 4 / 10

= 40%

The probability that Nerissa picks a purple bow is 40%.

The coordinates of point S of the line segment TS will be (8, - 19).

Let AB be the line segment and C be the mid-point of line segment AB. Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid-point (x, y).

Then the coordinate of the mid-point of the line segment is given as,

(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]

The coordinates of point T are ​(0​,5​). The midpoint is ​(4​,​-7).

Then the coordinates of point S will be given as,

(4, -7) = [(0 + x₂) / 2, (5 + y₂) / 2]

(8, - 14) = (x₂, y₂ + 5)

(8, - 19) = (x₂, y₂)

The coordinates of point S of the line segment TS will be (8, - 19).

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The length of the segment TQ is equal to 27 for the chord PQ intersecting another chord RS.

When two chords are intersecting each other inside a circle, then the product of the segments of one of the chord is equal to the product of the segments of the other chord.

The chords PQ and RS are interesting each other, so;

18(2x - 5) = 14(2x + 1)

36x - 90 = 28x + 14

36x - 28x = 14 + 90

8x = 104

x = 104/8

x = 13

the segment TQ is derived as;

2(13) + 1 = 27

Therefore, the segment TQ have a length equal to 27 for the chord PQ intersecting another chord RS.

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Answer:

(no solutions exist)

Step-by-step explanation: