What is the XYZ axis called?

three main trigonometry ratios are sin ,cos and tan.

1- Sine or sin θ = perpendicular / Hypotenuse .

2- Cosines or cos θ = base of triangle / Hypotenuse .

3- Tangent or tan θ = perpendicular of triangle / base of triangle.

Trigonometry

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Trigonometric values are based on the angle theta and the values of the sides of triangle in which the theta angle is made.

for example - value of sin theta is equal to the side opposite to the theta angle divided by hypotenuse of the triangle and we will get the values of the sin trigonometric ratio.

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Answer:

-18a^3b^5

Step-by-step explanation:

First do -ab^2*-6ab^2=-6a^2b^4

Then multiply that by 3ab=-18a^3b^5

This is how the Cluster of sampling technique is best described.

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Answer:

Step-by-step explanation:

1.RS+ST=RT. so 9y+2+2y+7=15y-11

2.11y+9=15y-11

3.15y-11y=11+9

4.4y=20

finally we find the answer is y=5

QUAD ABCD is a rectangular shape whose diagonals meet at point P. AC is 4x-13 and DP is x + 7.

When one set of opposing sides in a quadrilateral are congruent and parallel, the quadrilateral is a parallelogram. ABCD is a parallelogram if — BC — AD and — BC — AD. A quadrilateral becomes a parallelogram if its diagonals are bisected by one another.

In QUAD ABCD, DP equals x + 7 and AC is 4x-13.

4x - 13 is x + 7 + x + 7

4x - 13 = 2x+14

2x-13 = 14.

hence,

The value of x is 13.5.

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Answer:

Trim A

Inches = 36

Feet = 3

Yards = 1

Trim B

Inches = 216

Feet = 18

Yards = 6

If he wants to rent all 7 comedies, there are 91 different combinations of 9 movies that he could do so.

The following formula determines how many combinations of n objects can be taken r at a time: (n,r) = C(n,r)! .

She was a master of both wit and martial arts. The art and science of education blend beautifully. He saw slam poetry as the ideal synthesis of thought, writing, and theater. The desired mix is produced by the computer system (the perfect combination of arabica and robusta).

Five documentaries make up the total.

7 comedies total are available.

Four mysteries are present.

5 horror movies are there.

A total of 14 films, excluding comedies, are available.

If he wants to rent all 7 comedies, there are a total of 9 different combinations that he can do.

1 * (14*13)/2 = 91

If he wants to rent all 7 comedies, there are 91 different combinations of 9 movies that he could do so.

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The measure of the angle ∠6 = 112°

What are parallel lines?

Parallel lines are two or more lines that are always the same distance apart and never meet, no matter how far they are extended. They are coplanar lines that do not intersect or cross each other, and they have the same direction.

As given

a∥e, m∥n, and m∠2 = 112°.

As  m∥n

a is the transversal (A line that cuts across two or more (usually parallel) lines is called transverasl.)

Thus

∠ 2 = ∠3 ( Corresponding angle property )

∠3 = 112°

Also

a∥e and m are transversal.

∠ 3 = ∠6 = 112 ° ( Corresponding angle property )

Hence, the measure of the angle ∠6 = 112°

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The measure of the angle ∠6 = 112°

What are parallel lines?

Parallel lines are two or more lines that are always the same distance apart and never meet, no matter how far they are extended. They are coplanar lines that do not intersect or cross each other, and they have the same direction.

As given

a∥e, m∥n, and m∠2 = 112°.

As  m∥n

a is the transversal (A line that cuts across two or more (usually parallel) lines is called a transversal.)

Thus

∠ 2 = ∠3 ( Corresponding angle property )

∠3 = 112°

Also

a∥e and m are transversal.

∠ 3 = ∠6 = 112 ° ( Corresponding angle property )

Hence, the measure of the angle ∠6 = 112°

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Answer:

Step-by-step explanation:

We will check if 5/15 and 1/3 are in proportion or not by cross-multiplication.

5/15 = 1/3

5*3 = 15*1

15 = 15

as the left-hand side is equal to the right side. So, these fractions are in proportion.

Answer:

2x+6y+2

Step-by-step explanation:

The true statement is 6 less than 10

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

(-2) (-3) less greater than equal than 8- (-2)

We start by evaluating each expression

So, we have the following representation

(-2) (-3) = 6

8- (-2) = 10

Substitute the known values in the above equation, so, we have the following representation

6 less greater than equal than 10

6 is less than 10

So, we have

6 less than 10

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The graph of the function f(x) = -2|x-3|+1 is attached below.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

Given:

f(x) = -2|x-3|+1

First |x-3| shows there is horizontal shift by 3 units.

Now, '+1' shows there is Vertical shift by 1 unit.

and, 2|x-3| shows there is Vertical stretch and the negative sign shows reflection over x- axis.

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Answer:

  Manuel can make 5 batches of muffins using Recipe 1

Step-by-step explanation:

You want to know the value of b in the equation 2b = 10, where b is the number of batches of muffins Manuel can make using recipe 1.

Divide both sides of the given equation by 2 so solve for the value of b.

  (2b)/2 = (10)/2

  b = 5

Manuel can make 5 batches of muffins using Recipe 1.

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[tex]-7x < 35[/tex]

Divide both sides by -7:

[tex]\dfrac{-7x}{-7} < \dfrac{35}{-7}[/tex]

Since we are dividing by a negative number, the sign will reverse.

[tex]\fbox{x} > \fbox{-5}[/tex]

The solution to the given inequality is x > -5 which represents a set of all real numbers x that are greater than -5.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The inequality is given in the question, as follows:

-7x < 35

To solve the inequality -7x < 35, we first need to isolate the variable (x) on one side of the inequality.

We will divide both sides of the inequality by -7 (since -7 is being multiplied by x on the left side).

However, when we divide or multiply both sides of an inequality by a negative number, we must reverse the inequality symbol. So the inequality becomes:

x > -5

This inequality can be read as "x is greater than -5." It is the solution set of all real numbers x that is greater than -5.

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Answer: 4/5 minus 5/10 can be simplified as:

(4/5) - (5/10)

It can also be re-written as

(4/5) - (1/2)

To subtract these fractions, we need a common denominator, which is 10 in this case.

So it becomes

(4/5)(2/2) - (1/2)(5/5) = 8/10 - 5/10 = 3/10

So the result of 4/5 minus 5/10 is 3/10 on a number line.

Step-by-step explanation:

The evaluation of the expression 2ˣ - x² when x = 5 is 7

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

Expression: 2^x- x^2

Value x = 5

Rewrite the expression as

Expression: 2ˣ - x²

Substitute the known values in the above equation, so, we have the following representation

2ˣ - x² = 2⁵ - 5²

When the exponents are evaluated. we have

2ˣ - x² = 32 - 25

Evaluate the like terms in the equation

So, we have the following representation

2ˣ - x² = 7

Using the above as a guide, we have the following:

The solution is 7

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The commission on the sale would be $62.5

To find the commission on a sale, you can use the following formula:

Commission = Sale Amount x Commission Rate

Sale Amount: the total value of the sale

Commission Rate: the percentage or decimal value of the commission rate (e.g. 5% = 0.05)

The commission on a sale can be calculated by multiplying the total sale amount by the commission rate.

In this case, the commission on a 1,250 sale with a commission rate of 5% would be:

= 1,250 x 0.05

= 62.5

So the commission on the sale would be $62.5

It's also worth noting that commission rate is given as a decimal and not a percentage. 5% is 0.05 as decimal.

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Answer: C

Step-by-step explanation:

The HL Theorem states that if the hypotenuse and leg of a right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

In this case, 16 is the hypotenuse (the longest side of a right triangle) and 13 is the leg.

By using the table, each of the items in the lists should be matched as follows:

In Mathematics, a proportion can be defined as an equation which is typically used to represent (indicate) the equality of two ratios. This ultimately implies that, proportions can be used to establish that two ratios are equivalent and solve for all unknown quantities.

Based on the information provided in the table, we can reasonably infer and logically deduce that the variable x represent pounds of butterscotch candy while the variable y represent pounds of peppermint candy.

Additionally, a system of equations that models the information provided in the table is given by;

x + y = 10.                      

2.15x + 2.35y = 22.00.

In conclusion, the total quantity of candies in pounds (lbs.) is equal to 10.

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Answer:

The answer is 5⁻¹ or 1/5

Step-by-step explanation:

5²/5³

Here, we know that the base is the same i.e., 5 so, will use the property;

5² ÷ 5³

5² ⁻ ³ = 5⁻¹ = 1/5

Thus, The answer is 5⁻¹ or 1/5

Answer:

120

Step-by-step explanation:

3/5 of 200 = 120

Answer:

When solving an inequality:  you can add the same quantity to each side •you can subtract the same quantity from each side you can multiply or divide each side by the same positive quantity If you multiply or divide each side by a negative quantity, the inequality symbol must be reversed.

you can add subtract multiply and divide the quantity to each side

But if you’re doing any of those with a negative quantity, the inequality symbol must be reversed

3 x -8> 29

3 x -8 < 29

Answer:

x < -18/5

this is the answer of you problem

Answer:

4

Step-by-step explanation:

-28 = ±2^2 x ±7
60 = ±2^2 x ±3 x±5
72 = ±2^3 x ±3^2
=> Gcf of -28, 60, 72: 2^2 = 4

Answer: 12

Step-by-step explanation:

Therefore, the highest common factor of 60 and 72 is 12.

:) I know somebody already answered but like..im answering some stuff today, hope this helped by the way!

Answer: 1:1

Step-by-step explanation:

   We will write a ratio of ponies to goats;

ponies : goats

3 : 3

   Next, 3:3 can be simplified to 1:1. This gives us our fully reduced ratio.

We would require 400 square tiles, each measuring one square foot, to cover the whole surface of the square room.

If the perimeter of the room is 80 feet, we know that all four sides of the square room have the same length. To find the length of each side, we can divide the perimeter by 4: 80 feet / 4 = 20 feet.

Now that we know the length of each side of the room, we can find the area of the room by squaring that measurement: 20 feet x 20 feet = 400 square feet.

To find the number of floor tiles needed to cover the area of the room, we divide the total area of the room by the area of each tile: 400 square feet / 1 square foot/tile = 400 tiles.

So, to cover the entire area of the square room, we would need 400 square tiles of one square foot each.

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On solving the provided question, we can say that - here in number line we jump fron 2 to 7 as we have added +5

A number line is a visual representation of real numbers used in introductory mathematics. It is an image of a magnitude line. On the number line, each point represents a real number, and each real number is taken to represent a point. Increments on a number line are separated by equal distances. You can only respond to the numbers on a line in the manner indicated by those numbers. How the number is utilized is determined by the question that goes with it. B: Make a point.

here,

we have +5

so 2+(+5) = 7

we will jump to 7 from 2

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