Please help me simplify these expressions

Answer:

x = 9

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = \(\frac{1}{\sqrt{2} }\) , then

sin45° = \(\frac{opposite}{hypotenuse}\) = \(\frac{x}{9\sqrt{2} }\) = \(\frac{1}{\sqrt{2} }\) ( cross- multiply )

x × \(\sqrt{2}\) = 9\(\sqrt{2}\) ( divide both sides by \(\sqrt{2}\) )

x = 9

For a given triangle the value of x will be equal to 9.

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

Using the sine ratio in the right triangle and the exact value

sin45° = x / 9√2  , then

x  = 9√2 x sin45°

x = 9

Therefore for a given triangle, the value of x will be equal to 9.

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Answer:

(a)$17,575.

(b)$11,274,000

Explanation:

Length of the tube well =800 meters

Cost of the 1st meter = $110

The cost per meter increases by $35 for every subsequent meter.

We can model this problem as an arithmetic progression where:

• First term, a = $110

• The common difference, d =$35

(a)The cost of digging the 500th meter

The nth term of an arithmetic progression is derived using the formula:

Therefore, the 500th term will be:

The cost of digging the 500th meter is $17,575.

(b)The total cost incurred will be the cost of digging 800 meters of the tube well.

We obtain this by finding the sum of the cost for each meter.

The sum of an A.P. can be obtained using the formula below:

Substitution of the given values, we have:

The total cost incurred for the entire job is $11,274,000.

Answer:

3/4

Step-by-step explanation:

You do the y^2-y^1 over x^2- x^1 and you will get your answer

Rise over run

The correlation coefficient, denoted as "r," can take values between -1 and 1, inclusive. In summary, the possible values of the correlation coefficient range from -1 to 1.

The correlation coefficient measures the strength and direction of the linear relationship between two variables. A value of -1 indicates a perfect negative linear relationship, meaning that as one variable increases, the other decreases in a perfectly predictable manner.

A value of 1 indicates a perfect positive linear relationship, where both variables increase or decrease together in a predictable manner. A value of 0 indicates no linear relationship between the variables.

The correlation coefficient can take any value between -1 and 1, representing varying degrees of linear association. Values close to -1 or 1 indicate a strong linear relationship, while values close to 0 suggest a weak or no linear relationship. The sign of the correlation coefficient indicates the direction of the relationship: negative for a decreasing relationship, positive for an increasing relationship.

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The absolute value of change in the predicted value of dependent variable Y is 18.

Any variable whose value is influenced by an independent variable is said to be dependent. The thing that is measured or assessed in an experiment or mathematical equation is the dependent variable. The phrase "the outcome variable" is another name for the dependent variable.

Slope = b = -4

Intercept = a = -2.8

So, the equation of the regression line is

y  =  a + bx

y = -2.8 - 4x              ...Equation 1

Now suppose the value of x is changed by adding 4.5

i.e. put x = x + 4.5

So,

y = -2.8 - 4(x + 4.5)

y = -2.8 -4x - 18         ...Equation 2

Comparing 1 and 2 ,

We get the predicted value of dependent variable Y as 18

Therefore The absolute value of change in the predicted value of dependent variable Y is 18

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Answer:

2x + 2

Step-by-step explanation:

x^2 -4x +x +2 =

x^2 -3x +2         now add 2x + 2

Answer

137$

Step-by-step explanation:

Connor has an annual salary of $43,000, and his company pays him twice a month. (43000/24=1791) then we have the withheld witch is 7.65%+1791=$137 Tis is how i think you do it i could be very wrong. This is my best explanation so enjoy!

Answer:

C

Step-by-step explanation:

A. is wrong because having a different height for each seedling and not trying to keep it equal is simply worse than making sure the heights are identical.

B. Completely wrong because it would likely result in 1 plot having more melon seedlings than the other.

C. Correct because it makes sure the seedlings are the same height at the beginning of the experiment, allowing less randomness in the experiment.

D. Putting the taller of a each pair for 1 plot makes it the experiment rigged in favor of the plot with taller seedlings

E. Same issue as D.

The square root of 45 ≈ 6.7082

The square root of 92 ≈ 9.5917

The square root of 126 ≈ 11.2249

The square root of 45 is approximately 6.7082, which is derived from taking the square root of 45 \((\sqrt(45)).\)

For 92, the square root is approximately 9.5917 \((\sqrt(92))\).

As for 126, its square root is around 11.2249 \((\sqrt(126)).\)

These values are approximations because the square roots of 45, 92, and 126 are irrational numbers, meaning their decimal representation is non-repeating and non-terminating.

When working with these square roots in calculations, it is common to either use their approximate values or to keep them in square root form to maintain the highest level of precision.

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The Question in English

What is the square root of 45

what is the square root of 92

what is the square root of 126

Answer: V = 288π units³

Step-by-step explanation:

We can use the given formula for the volume of a sphere. V is the volume and r is the radius.

         V = \(\frac{4}{3}\)πr³

We will substitute our known values and solve. Since we are being asked to write our answer in terms of π, we will not multiply π in with the rest of the values as a numerical value and will leave it as π.

         V = \(\frac{4}{3}\)πr³

         V = \(\frac{4}{3}\)π(6)³

         V = \(\frac{4}{3}\)π(216)

         V = \(\frac{4}{3}\) * π * (216)

         V = \(\frac{4}{3}\) * (216) * π

         V = 288π units³

Your answer of 288 units³ is close to correct, but you cannot forget to write it in terms of π (288π units³).

Answer:

1/2

Step-by-step explanation:

D'après la question ci-dessus, on nous dit que:

La boîte à linge de Killian est remplie aux 2/3.

Il utilise un quart de ce qui reste dans le conteneur pour laver ses vêtements.

La fraction de ce qu'il utilisait pour laver ses vêtements =

1/4 sur 2/3

= 1/4 × 2/3

= 1/6

La quantité de détergent qu'il reste dans le récipient est calculée comme suit:

2/3 - 1/6

Dénominateur commun le plus bas = 6

2 × 2 - 1 × 1/6

4 - 1/6

= 3/6

= 1/2

Answer:

uh 1/3???

Step-by-step explanation:

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let's evaluate :

Answer:

e² + 4e + 3

Step-by-step explanation:

(e + 3)(e + 1)

Each term in the second factor is multiplied by each term in the first factor , that is

e(e + 1) + 3(e + 1) ← distribute parenthesis

= e² + e + 3e + 3 ← collect like terms

= e² + 4e + 3

Answer:

That's alot of words, kinda hard to understand

Yes, you can still cover the remaining squares with dominoes. The necessary and sufficient condition for this to work is that the chessboard originally had an even number of squares.


A standard chessboard has 64 squares. If one corner square is missing, we are left with 63 squares. Each domino covers exactly 2 squares, so we need 31.5 dominoes to cover the remaining squares. Since we cannot use half a domino, this means we need a whole number of dominoes. Therefore, the number of squares must be even.

Conversely, if the chessboard originally had an even number of squares, then we can remove any one square and still have an odd number of squares left. Since each domino covers 2 squares, it is easy to see that we can always cover an odd number of squares with dominoes, by placing one domino vertically in the middle of the board. Therefore, in this case we can also cover the remaining squares with dominoes.

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The scalar product P.Q = 33, P.S = -25, and Q.S = -2. The scalar product P-Q, P-S, and Q-S are not defined.

The scalar product, also known as the dot product, is a mathematical operation that takes two vectors and returns a scalar quantity. To compute the scalar product of two vectors, we multiply their corresponding components and sum the results.

For the given vectors, P = (11)i + (10)j + (11)k, Q = (3)i + (4)j - (5)k, and S = -4i + j - 2k.

To find P.Q, we multiply the corresponding components of P and Q and sum the results: P.Q = (11)(3) + (10)(4) + (11)(-5) = 33.

Similarly, P.S = (11)(-4) + (10)(1) + (11)(-2) = -25, and Q.S = (3)(-4) + (4)(1) + (-5)(-2) = -2.

However, the scalar product P-Q, P-S, and Q-S are not defined since these operations involve subtracting vectors, and the scalar product is not defined for vector subtraction.

Therefore, the scalar products P.Q = 33, P.S = -25, and Q.S = -2, while the scalar products P-Q, P-S, and Q-S are not defined.

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Answer:

x = 6

Step-by-step explanation:

3x9 = 27

27 = 5x -3

________

+3 +3

30 = 5x

divide 30 from 5

x = 6

Answer:

3x-5x=-3-9

-2x=-12

X=6

Step-by-step explanation:

First solve for x , you should always put x or any other variable on one side. In this case 3x-5x

0 or something? i'm not sure?

Step-by-step explanation:

?

Answer:

A

Step-by-step explanation: here ya go <3

Answer:

The area will be:

\(A=18(1+\sqrt{3}) \: u^{2}\) or \(A=49.18 \: u^{2}\).

Step-by-step explanation:

Using the definition of tangent, we have:

\(tan(\alpha)=\frac{6}{\vec{AB}}\)

We know that tan(α) = 1, then we can find AB

\(1=\frac{6}{\vec{AB}}\)

\(\bar{AB}=6\: u\)

u means any unit.

Now, we need to find the distance BC. If the angle ∠D is 60°, then ∠C must be 30°. Using the tangent definition in the triangle BCD we have:

\(tan(30)=\frac{6}{\bar{BC}}\)

\(\bar{BC}=\frac{6}{tan(30)}\)

\(\bar{BC}=\frac{6}{1/\sqrt{3}}\)

\(\bar{BC}=6\sqrt{3} \: u\)

So, the base of the triangle will be:

\(b=\bar{AB}+\bar{BC}=6+6\sqrt{3}=6(1+\sqrt{3}) \: u\)

The area of a triangle is given by the following equation:

\(A=\frac{b*h}{2}\)

\(A=\frac{6(1+\sqrt{3})*6}{2}\)

\(A=18(1+\sqrt{3})\)

Therefore, the area will be \(A=49.18 \: u^{2}\).

I hope it helps you!

Expand the given fraction as

\(\dfrac{12}{25} = \dfrac{10}{25} + \dfrac2{25} = \dfrac25 + \dfrac2{5^2}\)

Then the base 5 representation of 12/25 is

\(\dfrac{12}{25} \equiv \boxed{0.22_5}\)

We can approach this problem by first finding the two perfect squares that 240 lies between:

15^2 = 225 and 16^2 = 256.

Since the square root of 240 must lie between the square root of 225 and 256, we can choose the number that is closest between 15 and 16.

To do this, we can calculate the distance between the square root of 240 and each of the two numbers:

The distance between 15 and the square root of 240 is |15 - sqrt(240)| = 1.18

The distance between 16 and the square root of 240 is |16 - sqrt(240)| = 0.34

Therefore, 16 is closest to the square root of 240.

Answer:

6.3

Step-by-step explanation:

\(sin(\alpha)= \frac{O}{H}\)

\(sin(44)=\frac{O}{9} \\O=9sin(44) \\O=6.25\\O=6.3\)

Answer:

9.3

Step-by-step explanation:

9/ tg44 = 9.31677018634

Rounded by the nearest tenth= 9.3

Yes the pre image and image are congruent always

See

They are transformed through a constant scale factor so they ought to be same .

And

If there angles of one triangle (pre image) are congruent to rest three(image) then triangles are congruent by AAA congruence

Therefore, the expression's 48th component is the cost per scarf.

A mathematical expression is a sentence that has at least two variables or integers and one mathematical action. In mathematics, it is possible to multiply, divide, add, or remove. An expression's structure is (Mathematical Operator, Number or Variable, Expression).

Here,

In the following expression, 483 denotes the total number of scarves, and 48 is the cost per scarf. For each scarf order, customers are charged a $4.75 delivery fee:

The 48 denotes the price per scarf, as can be seen from the supplied.

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Answer:

Step-by-step explanation:

3). \(x=4,2\)

4). \(x=7,-2\)

5).\(x=-2±2i\sqrt{2}\)

2) To this, the input is the value on the horizontal axis of the graph, the output is the value on the vertical axis of the graph. By connecting the two values and seeing where they meet up is how I got the answers.

a) input = -6     output = 1

b) input = 5      output = -3

c) input = 0       output = -1

Hope that helps!

They tell us that it is distributed in a normal way, which means that the distribution has the following characteristics:

If teh standart deviation is 2.7 gallon and the avriabe is normal distributed we need to know the probability highlighted in the image above, when replacing in the formula with x greater than 25 we obtain:

Answer: 59.26°

Step-by-step explanation:

Use the equation 174(0.95)^21

The 174 represents the temperature difference

The 21 represents the amount of time (in minutes) that has passed

To get 0.95, because the temperature is decreasing, you subtract

1-0.05=0.95 (0.05 and not 5 because you move the decimal over two places when working with percents)

That's the standard equation that you use when solving questions like these, and when you solve this equation you should get 59.26° (you need a calculator to solve it all at once)

Answer:

8+ 1/2 (12) = x

8+ 6 = x

Therefore x = 14

Answer:

The answer is X = 14

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Flip the equation.