rationalise 2 divided by 2 square root 3​

Answer:

see image.

Step-by-step explanation:

For the pairs sec&csc,

tan&cot,

sin&cos

the ratios are equal IF the angles are complementary.

So like, EXAMPLE:

sin 20° = cos 70°

tan 10° = cot 80° or

sec 50° = csc 40°

^^^^these are not the answers! Just see the angles add up to 90°

So you just need to grab the angle info in the parenthesis and ADD it up and set it EQUAL TO 90°

and SOLVE for theta. See image.

Answer:

\((x^{2} +2)-3\\x^{2} +2-3\\x^{2} -1\\(x+1)(x-1)\)

Answer:

x^2+4x+1

Step-by-step explanation:

(x+2)^2-3

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

x^2+2x+2x+4-3

x^2+4x+4-3

x^2+4x+1

Answer:

\(49\:\mathrm{in^2}\)

Step-by-step explanation:

The area of the composite figure consists of two rectangles. Thus, the total area of the figure is:

\(8\cdot 3+5\cdot 5=24+25=\boxed{49\:\mathrm{in^2}}\)

Answer:

the answer is 22

Step-by-step explanation:

12,15,22,37,49

since 22 is in the middle its the median (make sure you put the #'s from least to greatest)

Answer:

22

Step-by-step explanation:

22, 37, 49, 15, 12

First put the data set from least to greatest.

12, 15, 22, 37, 49

The median is the middle number of the data. In this case, the median is 22.

Hope this helps!

Answer:

Convert fraction (ratio) 298 / 347 Answer: 85.878962536023% so round it up to 86%

Step-by-step explanation:

took the test

Answer:

Step-by-step explanation:

1/4 x 20x - 1/4 x 28<2x - 6 + 2

5x - 28/4<2x - 4

5x - 2x<-4 + 28/4

3x<-4/1 + 28/4

3x<-16 + 28/4

3x<12/4

3x<3

3x/3<3/3

x<1

The length of a standard basketball court is 94 feet (28.65 meters), and the width is 50 feet (15.24 meters).

A standard basketball court is rectangular in shape and follows certain dimensions specified by the International Basketball Federation (FIBA) and the National Basketball Association (NBA). The length and width of a basketball court may vary slightly depending on the governing body and the level of play, but the most commonly used dimensions are as follows:

The length of a basketball court is typically 94 feet (28.65 meters) in professional settings. This length is measured from baseline to baseline, parallel to the sidelines.

The width of a basketball court is usually 50 feet (15.24 meters). This width is measured from sideline to sideline, perpendicular to the baselines.

These dimensions provide a standardized playing area for basketball games, ensuring consistency across different courts and facilitating fair play. It's important to note that while these measurements represent the standard dimensions, there can be slight variations in court size depending on factors such as the venue, league, or specific regulations in different countries.

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Answer:

x^2−7x+12      so -7x

Step-by-step explanation:

Answer:

lol off site link lol

Step-by-step explanation:

13x15 four times then 9x15 two times

Answer:

sheeesh

Step-by-step explanation:

Answer:

\(\displaystyle Inconsistency\:[No\:Solution]\)

Step-by-step explanation:

We need to isolate one pair of variables so they are set to zero. Now, in this case, we need to split one of the equations in negative half, so we will select the second equation:

\(\displaystyle \left \{ {{3x - 2y = 8} \atop {6x - 4y = 12}} \right. \\ \\ \\ \left \{ {{3x - 2y = 8} \atop {-\frac{1}{2}[6x - 4y = 12]}} \right. \\ \\ \left \{ {{3x - 2y = 8} \atop {-3x + 2y = -6}} \right. \\ \\ \\ \boxed{0 \ne 2}\)

The fact that we have a result like this proves that we cannot obtain a solution from this system, which means that on a graph, these equations are considered parallel [no intersection, so no solution].

I am joyous to assist you at any time.

The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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Answer: 5 chairs and 2 extra chairs

Step-by-step explanation:

Note that \(\frac{27}{5}=5.4\). This means we can place up to 5 chairs at each table.

However, this means that there will be \(27-5(5)=2\) chairs left over.

Answer:

7000degrees/sec

Step-by-step explanation:

The question is not properly structured. Here is the correct question.

A pitcher's arm rotates at a speed of 7 degrees per millisecond (degrees/ms) . At what speed does the pitcher's arm rotate in degrees/s?

Before we proceed, you must know that we will be applying the following conversion;

1 milliseconds = 10⁻³secs

Given

Speed of pitcher's arm in degree per milliseconds = 7deg/ms

Required

We are to express in degree/sec

Using the conversion formula above;

\(7deg/ms = \dfrac{7^0}{1millisecs} \\\\converting \ to \ deg/s\\7deg/ms = \dfrac{7^0}{1millisecs} \times \dfrac{1}{10^{-3}s}\\7deg/ms = \dfrac{7^0}{10^{-3}s}\\\)

\(7deg/ms = 7^0 \times 1/0.001s\\7deg/ms = 7^0 \times 1000/s\\7deg/ms = 7000^0/sec\\\)

Hence the value in degree/sec is 7000degrees/sec

The equation \(F = G \frac{mM}{r^{2}}\) can be solved for \(m\) as: \[m = \frac{F \cdot r^{2}}{GM}\]

To solve the equation \(x^{2} - 14x + 46 = 0\), we can use the quadratic formula. The quadratic formula states that for an equation in the form \(ax^{2} + bx + c = 0\), the solutions for \(x\) can be found using the formula:

\[x = \frac{-b \pm \sqrt{b^{2} - 4ac}}{2a}\]

In our equation, we have \(a = 1\), \(b = -14\), and \(c = 46\). Plugging these values into the quadratic formula, we get:

\[x = \frac{-(-14) \pm \sqrt{(-14)^{2} - 4(1)(46)}}{2(1)}\]

Simplifying this expression gives us:

\[x = \frac{14 \pm \sqrt{196 - 184}}{2}\]
\[x = \frac{14 \pm \sqrt{12}}{2}\]
\[x = \frac{14 \pm 2\sqrt{3}}{2}\]

Now we can simplify further:

\[x = 7 \pm \sqrt{3}\]

Therefore, the solutions to the equation \(x^{2} - 14x + 46 = 0\) are \(x = 7 + \sqrt{3}\) and \(x = 7 - \sqrt{3}\).

Moving on to the second question, we need to solve the equation \(F = G \frac{mM}{r^{2}}\) for \(m\).

To isolate \(m\), we can start by multiplying both sides of the equation by \(r^{2}\):

\[F \cdot r^{2} = G \cdot mM\]

Next, divide both sides of the equation by \(GM\):

\[\frac{F \cdot r^{2}}{GM} = m\]

So, the equation \(F = G \frac{mM}{r^{2}}\) can be solved for \(m\) as:

\[m = \frac{F \cdot r^{2}}{GM}\]

This equation gives the value of \(m\) in terms of the other variables \(F\), \(G\), \(M\), and \(r\).

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Solution

- We can plot the coordinates given using a graphing calculator as shown below:

- From the above, we can see that the sides are equal and the looks like a diamond

- Thus, the quadrilateral is a Rhombus

- Since all the angles are 90 degrees, it is also a square only that it was rotated.

- A square is a special type of rectangle, thus, the shape is also a rectangle

- A parallelogram as its opposite sides parallel and opposite angles equal. This is the same with our figure. Thus, it is also a parallelogram

There were 118.22 buttons in box a initially and 354.67 buttons in box a in the end.

Let x = the number of buttons in box a initially.

There were 3x buttons in box a initially, and x buttons in box b initially.

15% of x is 0.15x, and 10% of x is 0.10x.

Thus, the 33% increase in buttons for box c was (0.15x + 0.10x).

We can set up the equation as follows:

0.15x + 0.10x + x + x = 266

0.25x + 2x = 266

2.25x = 266

x = 266/2.25

x = 118.22

Thus, there were 118.22 buttons in box a initially and 354.67 buttons in box a in the end.

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Answer:

It is the first graph

Step-by-step explanation:

The line under the > and < sign means that it must include the 3 and the 0.  The closed circle is showing that the 3 and 0 or included.

Independent variable and dependent variable

What occurs as a result of the independent variable is referred to as a dependent variable.

We anticipate that independent variables will have an impact on dependent variables.

Eg. You plan a study to see if variations in the room's temperature have an impact on students' math test results.

The inside temperature of the space is your independent variable. By making the room cooler for half the participants and warmer for the other half, you can change the temperature.

Test results in mathematics are your dependent variable. Using a standardised test, you measure each participant's math prowess to see if there are any temperature-related differences.

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The correct statement is: 'In any experiment, the cause is called the dependent variable, while the effect or result is called the independent variable.'

We know that an independent variable is a variable which is not changed by the other variables you are trying to measure.

An independent variable is also known as input variable.

Or in any experiment, the cause is represented by the independent variable.

Whereas a dependent variable is nothing but the variable that changes as a result of the independent variable. It depends on the independent variable of an experimetent.

It is also called as output variable.

Therefore,   In any experiment, the cause is called the dependent variable, while the effect or result is called the independent variable.

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Answer:

if the diameter if the basketball is 18 inches then the circumference is about

56.5487 or 57

Step-by-step explanation:

Answer:

105 = (5x-70)

Step-by-step explanation:

You are trying to find x so you would have to place that in to finally get to the end where x = 5

Answer:

24ft

Step-by-step explanation:

Pythagorean Theorem!!

\(a^2 + b^2 = c^2\)

------------------------

In this case, the ladder is c, and the base is b.

------------------------

Plug the numbers in the formula.

\(a^2 + 7^2 = 25^2\)

------------------------

Solve.

\(a^2 + 49 = 625\)

\(a^2 -49 = 625 - 49\)

\(a^2 = 576\)

\(\sqrt{a^2} = \sqrt{576}\)

\(a = 24\)

Answer:

Step-by-step explanation:

You didn't give your options, but it doesn't matter. We'll find all the possibilities and then you can pick it from your list.

When I teach this in Algebra 2, I call it the "the c over d thing" and all my students know EXACTLY to what I am referring. "c" is the constant and "d" is the leading coefficient. The combination of c/d give you the possibilities of roots for the polynomial. There are no real roots that a polynomial can have other than the possibilities we find when we do the c/d thing.

Our c is a 20.  All the factors of 20 are as follows (notice that we have both the positive and negative factors):

20: ±1, ±2, ±4, ±5, ±10, ±20

Our d is a 3.  All the factors of 3 are as follows (again, both the + and the -):

3: ±1, ±3 and that's it for 3.

c/d is as follows. Make sure you put ever c over every d!!!:

c/d: ±\(\frac{1}{1}\), ±\(\frac{2}{1}\), ±\(\frac{4}{1}\), ±\(\frac{5}{1}\), ±\(\frac{10}{1}\), ±\(\frac{20}{1}\), ±\(\frac{1}{3}\), ±\(\frac{2}{3}\), ±\(\frac{4}{3}\), ±\(\frac{5}{3}\), ±\(\frac{10}{3}\), ±\(\frac{20}{3}\)

Those are all the possibilities for your roots for that polynomial. As long as the roots are real (and they won't always all be real!), there are no roots but these.

Answer:

its D on edge

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

If this is the graph of f(x) =a^(x+h)+k then h<0 and k> 0.Hence option C is correct.

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.

If f(x) = a(x+h) + k is the graph, then h<0 and k> 0.

Therefore, choice D is right.

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The solutions to the equation -30x² + 9x + 60 = 0 are x = 5/2 and x = -4/5.

To solve the equation, we can start by bringing all the terms to one side to have a quadratic equation equal to zero. Let's go step by step:

-5/3 x² + 3x + 11 = -9 + 25/3 x²

First, let's simplify the equation by multiplying each term by 3 to eliminate the fractions:

-5x² + 9x + 33 = -27 + 25x²

Next, let's combine like terms:

-5x² - 25x² + 9x + 33 = -27

-30x² + 9x + 33 = -27

Now, let's bring all the terms to one side to have a quadratic equation equal to zero:

-30x² + 9x + 33 + 27 = 0

-30x² + 9x + 60 = 0

Finally, we have the quadratic equation in standard form:

-30x² + 9x + 60 = 0

Dividing each term by 3, we get:

-10x² + 3x + 20 = 0

(-2x + 5)(5x + 4) = -10x² + 3x + 20

So, the factored form of the equation -30x² + 9x + 60 = 0 is:

(-2x + 5)(5x + 4) = 0

Now we can set each factor equal to zero and solve for x:

-2x + 5 = 0 --> x = 5/2

5x + 4 = 0 --> x = -4/5

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Answer:

105

Step-by-step explanation:

0 (104) is equal to 0, so let's cross that out. 103 times 102 is definitely not equal to 105. The third one is 105. The fourth one is not 105. The last one is not 105 either.

Answer:

6 round tables, 1 square.

Answer: 5 miles

Step-by-step explanation: Hope this helps :)