What does a segment joining mean?

The side lengths of the triangle are 27 cm, 36 cm, and 45 cm.

Let x = length of the longer leg of the triangle

If the shorter leg of a right triangle is 9cm shorter than the longer leg, then

length of the shorter leg of the triangle = x - 9

If the hypotenuse is 9cm longer than the longer leg, then

length of the hypotenuse of the triangle = x + 9

Use Pythagorean theorem to solve for the side lengths of the triangle. Pythagorean theorem states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

(x + 9)² = x² + (x - 9)²

Simplify the equation and solve for x.

(x + 9)² = x² + (x - 9)²

x² + 18x + 81 = x² + x² - 18x + 81

36x = x²

x² - 36x =0

x(x - 36) = 0

x = 36

length of the longer leg of the triangle = x = 36 cm

length of the shorter leg of the triangle = x - 9 = 36 - 9 = 27 cm

length of the hypotenuse of the triangle = x + 9 = 36 + 9 = 45 cm

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Answer:

5x = 635

x = 127

508 rolls of paper were sold in December.

Step-by-step explanation:

On solving the provided question, we can say  that - the value of the following function  f (x) = x³ + 3x² + 3x + 2 will be 9.

The topic of numbers, formulae and associated structures, forms and the areas where they exist, quantities and their variations, and spaces where they exist are all included in the field of mathematics. An association between a collection of inputs, each of which has an output, is known as a function. A function is, to put it simply, a relationship between inputs and outputs, where each input has a single, specific outcome. A domain and a codomain, or scope, are assigned to each function. Typically, f is used to represent functions (x). input is x. Four different sorts of functions are available. Based on the following items: One-to-one functions, many-to-one functions, on functions, one-to-one functions, and within functions.

we have been provided with -

f (x) = x³ + 3x² + 3x + 2

so, x= 1

f(x) = 1+3+3+2 = 9

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Answer:

Hence, the expression ( 4 x 2 - 3 y 2 - x y ) should be taken away from 3 x 2 - 4 y 2 + 5 x y + 20 to obtain - x 2 - y 2 + 6 x y + 20 .

Step-by-step explanation:

Answer:Xkskx

Step-by-step explanation:

Answer: Your answer should be 10.8

Step-by-step explanation:

2.9+2.9+2.5+2.5

Pretty simple

Answer:

10.8 m

Step-by-step explanation:

To calculate the perimeter you must add up all the sides

= 2.5 + 2.5 + 2.9 + 2.9

= 10.8

The equation that relates x and y is y = -3x.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

y ∝ x
y = kx

Now,

When x = -3, y = 9

This means,

9 = -3k

k = -3

Now,

The equation is y = -3x

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The area of the shaded region of the Frame if it's 2 units wide would be = 17.5 units²

From the given diagram, the shaded region is the framed rectangle, and the white part is the frame.

The frame is 2 units wide which shows to get sides of the shaded rectangle is thus;

Length = 10/2 = 5

width = 7/2 = 3.5

Therefore the area of that shaded region is calculated using the formula for area of a rectangle:

Area of a rectangle = l × w = 5× 3.5 = 17.5 units²

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The actual value is 9.5. So the percentage error is (0.5 / 9.5) * 100% = 5.26%.

To find the percentage error, we need to divide the difference between the measured value and the actual value by the actual value and multiply by 100%. In this case, the difference between the measured value and the actual value is 10 - 9.5 = 0.5. The actual value is 9.5. So the percentage error is (0.5 / 9.5) * 100% = 5.26%.

The percentage error tells us how much the measured value differs from the actual value as a percentage. In this case, the measured value (10 square feet) is 5.26% larger than the actual value (9.5 square feet).

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Remo's percentage error is 5.26%

In this question we have been given Remo calculated the area as 10 square feet.

And the actual area is 9.5 square feet.

We need to find Remo's percentage error

We know that the formula for the percentage error.

E = (V_o - V_a)/V_a × 100

where V_a is the actual value

V_o is the observed value

E is the percentage error

From given data: calculate area A_o = 10 square feet

actual area A_a = 9.5 square feet

So,  Remo's percentage error would be.

E = (A_o - A_a)/A_a × 100

E = [(10 - 9.5)/9.5] × 100

E = 5.26%

Therefore, the percentage error is 5.26%

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Answer:  12.5  miles

Step-by-step explanation:

The system of inequalities is 6.50x + 10y ≥ 1100 and x + y ≤ 140.

The graph is attached below

To plot the system of equations, we can first plot the lines for each equation on the same coordinate plane.

The first inequality is 6.50x + 10y ≥ 1100.

We can rewrite this in slope-intercept form as

y = (-6.50/10)x + (1100/10).

The slope of the line is -6.50/10 = -0.65

And the y-intercept is (1100/10) = 110.

The second inequality is x + y ≤ 140.

We can rewrite this in slope-intercept form as y = (-1/1)x + (140/1).

The slope of the line is -1/1 = -1

And the y-intercept is (140/1) = 140.

We can now plot these lines on the same coordinate plane.

The points of intersection are the solutions to the system of equations.

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The simplified form of the given expression is (V³+i)³ = V⁹ + 3iV⁶- 3V³ - i.

A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib,

where a, and b are real numbers and i is an imaginary number.

The expression is given in the question as:

(V³+i)³

The expression (V³+i)³ can be simplified using the identity:

(a+b)³ = a³ + 3a²b + 3ab² + b³

Substituting V³ and i for a and b, respectively, and Multiply the real and imaginary numbers gives:

(V³+i)³ = V⁹ + 3V⁶i + 3V³i² + i³

Reduce the imaginary units using the property i² = -1

(V³+i)³ = V⁹ + 3iV⁶- 3V³ - i

This is the final simplified form of the expression.

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Answer:

157482

Step-by-step explanation:

234 × 673 = 157482

Answer:

157,482

Step-by-step explanation:

Use a calculator.

Answer:

First step

Step-by-step explanation:

The right one is

[tex] {10}^{2} - {1}^{2} = 99 \\ \sqrt{99} = 3 \sqrt{11} [/tex]

If you have problems with mathematics you can text me if you want

Tex-Bank is the better deal because the fees for this bank for Nathalia is $12.25 per month.

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Answer:

After 7 minutes, both tanks have the same amount of water.

Step-by-step explanation:

The total mass of the system which consists of two patches is1.25 kg.

The position vector of the center of mass of the system can be defined as the weighted normal of the position vectors of the two patches, with the weights being the millions of the patches.

Given that the position of the center of mass is on the y- axis at y = 2.4 m and the y- element of the haste of the center of mass is(0.75 m/ s3) t2, we know that the center of mass doesn't move in thex-direction. So, the position vector of the center of mass can be expressed as

Rcm = 2.4 i

The position vector of the first flyspeck is given as the origin, and the position vector of the alternate flyspeck is given as 6j. The total mass of the system is given by the following equation

m1 m2 = mtotal

m1 * R1 m2 * R2 = mtotal * Rcm

Where R1 and R2 are the position vectors of the first and alternate patches, independently, and m1 and m2 are their separate millions.

working the below equation for mtotal, we get

mtotal = m1 m2 = m2 *( R2/ Rcm)

mtotal = 0.5 *(6/2.4) = 0.5 *(2.5)

mtotal = 1.25 kg

Hence the total mass of the system is1.25 kg.

This question is deficient and should be written as

A system consists of two patches. At t = 0 one flyspeck is at the origin; the other, which has a mass of0.50 kg, is on the y- axis at y = 6.0 m. At t = 0 the center of mass of the system is on the y- axis at y = 2.4 m. The haste of the center of mass is given by(0.75 m/ s3) t2i. Find the total mass of the system. The aggregate mass of the system which consists of two patches is1.25 kg.

The position vector of the center of mass of the system can be defined as the weighted normal of the position vectors of the two patches, with the weights being the millions of the patches.

Given that the position of the center of mass is on the y- axis at y = 2.4 m and the y- element of the haste of the center of mass is(0.75 m/ s3) t2, we know that the center of mass doesn't move in the x-direction. So, the position vector of the center of mass can be expressed as

Rcm = 2.4 i

The position vector of the first flyspeck is given as the origin, and the position vector of the alternate flyspeck is given as 6j. The total mass of the system is given by the following equation

m1 m2 = mtotal

m1 * R1 m2 * R2 = mtotal * Rcm

Where R1 and R2 are the position vectors of the first and alternate patches, independently, and m1 and m2 are their separate millions.

working the below equation for mtotal, we get

mtotal = m1 m2 = m2 *( R2/ Rcm)

mtotal = 0.5 *(6/2.4) = 0.5 *(2.5)

mtotal = 1.25 kg

Hence the total mass of the system is1.25 kg.

This question is deficient and should be written as

A system consists of two patches. At t = 0 one flyspeck is at the origin; the other, which has a mass of0.50 kg, is on the y- axis at y = 6.0 m. At t = 0 the center of mass of the system is on the y- axis at y = 2.4 m. The haste of the center of mass is given by(0.75 m/ s3) t2i. Find the total mass of the system.

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The total mass of the system which consists of two particles is 1.25 kg.

The position vector of the center of mass of the system can be defined as the weighted average of the position vectors of the two particles, with the weights being the masses of the particles.

Given that the position of the center of mass is on the y-axis at y = 2.4 m and the y-component of the velocity of the center of mass is (0.75 m/s^3)t^2, we know that the center of mass does not move in the x-direction. So, the position vector of the center of mass can be expressed as:

The position vector of the first particle is given as the origin, and the position vector of the second particle is given as 6j. The total mass of the system is given by the following equation:

Where R1 and R2 are the position vectors of the first and second particles, respectively, and m1 and m2 are their respective masses.

Solving the above equation for mtotal, we get

Hence the total mass of the system is 1.25 kg.

This question is incomplete and should be written as:

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[tex](1+ x)^{-4}[/tex] = 1-4x +10 x^2 +10 x^2 -20 x^3 +................. is the required maclaurin series for the function 1 / [tex](1+x)^{4}[/tex] . and explained in detailed as ;

we know that the maclaurin says that :

[tex](1+x)^{k}[/tex] = 1+ kx + k(k-1) x^2 /2! + k(k-1)(k-2) x^3/3! +.............

hence the value of k = -4  then on substituting we get,

[tex](1+ x)^{-4}[/tex] = 1+ (-4) x + (-4)(-4-1)x^2 /2 +..........

(1+ x)^{-4} = 1- 4x + 20 x^2 /2 - 120 x^3 /6 + ...........

(1+ x)^{-4} = 1-4x +10x^2-20x^3 +.........

hence the equation of maclaurin series for the function is

(1+ x)^{-4}  = 1-4x +10 x^2 +10 x^2 -20 x^3 +.................

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If two groups of numbers have the same mean, then other measures of location need not be same. The Sample Mean is always smaller than the mean of the population from which the sample was taken.

Mean: It is the most commonly used measure of central tendency. It actually represents the average of the given collection of data. It is applicable for both continuous and discrete data.

Median: Given that the data collection is arranged in ascending or descending order, the following method is applied:

If two groups of numbers have same mean that does not imply they will have same std deviation, median and mode. Even if two groups have same mean other measures may not be same because one group might be more or less scattered than the other group and though they may have same mean.

So the correct answer is option A.

Other measures of location need not be same.

2. Here, the correct option is option d. This is because when we calculate mean we basically take the average of each and every value in the given sample, which is bound to lie between the maximum and minimum value.

A mean can be zero if it has equal positive and negative numbers and a mean can be negative if it has more negative numbers. Again the mean of the sample is not always necessarily smaller than the mean of the population of which the sample is a part. Hence the first three options are incorrect

Therefore,  the correct option is option d. Mean is always smaller than the mean of the population from which the sample was taken.

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Answer:
-1/45

If this help please set brainliest.

Step-by-step explanation:

To find the number that when multiplied with -9/13 gives the product 45, you can divide 45 by -9/13. Dividing 45 by -9/13 is the same as multiplying -9/13 by the reciprocal of 45, which is -1/45. The reciprocal of a number is 1 divided by that number, so the reciprocal of 45 is 1/45.

Therefore, the number you are looking for is -1/45. When multiplied by -9/13, this number gives the product 45:

(-1/45) * (-9/13) = (-1 * -9) / (45 * 13) = 9/585 = 45

The number you are looking for is -1/45.

2, 3i, -3i are the real and complex solutions of the polynomial equation.

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

The given polynomial is x³-2x²+9x-18

x³-2x²+9x-18=0

Take the common terms from first two terms

x²(x-2)+9(x-2)

(x²+9)(x-2)=0

(x²+3²)(x-2)=0

x-2=0

x=2

and x²+3²=0

x=3i and x=-3i

Hence, 2, 3i, -3i are the real and complex solutions of the polynomial equation.

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The volume of a cylinder is given by [tex]\pi 2x^{3} - \pi 5x^{2} -\pi 24x +\pi 63[/tex].

we know that

The volume of a cylinder is given by the formula v=nr^2h

where

r is the radius of the cylinder

h is the height of the cylinder

in this problem, We know that height of the cylinder is given by h = 2x + 7 and radius r = x-3

Substituting the given values in the above formula to get:

Volume = [tex]\pi .(x - 3)^{2} .2x+7[/tex]

[tex]= \pi (x^{2} - 6x + 9)(2x + 7)\\\\= \pi (2x^{3} - 5x^{2} -24x +63)[/tex]

Hence , the volume of a cylinder is given by [tex]\pi 2x^{3} - \pi 5x^{2} -\pi 24x +\pi 63[/tex].

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Answer:

no triangle at all

Step-by-step explanation:

When two sides and an angle (SSA) of a triangle are given, we can use the Law of Cosines to determine whether the given measurements produce one triangle, two triangles, or no triangle at all.

The Law of Cosines states that in any triangle ABC, c² = a² + b² - 2ab cos(C), where a, b, and c are the lengths of the sides of the triangle and A, B, and C are the measures of the angles opposite those sides.

Given a = 17, c = 18.3, and A = 56°, we can use the Law of Cosines to find the value of b²:

b² = c² - a² + 2ab cos(A)

If the value of b² is positive, then the given measurements produce one triangle. If the value of b² is zero, then the given measurements produce one degenerate triangle. If the value of b² is negative, then the given measurements do not produce any triangle.

Calculating b² = 18.3² - 17² + 2(17)(18.3)cos(56°) = 0.3

As the value of b² is zero, the given measurements produce one degenerate triangle. A degenerate triangle is a triangle whose sides do not form a valid triangle, i.e the three sides are collinear.

Since, the value of b² is zero, it means that the three sides of the triangle are collinear and it will not form a triangle. The measurements provided do not produce any triangle.

Data or other facts gathered to test an idea are called evidence. Evidence is information that is collected and analyzed to support or refute a hypothesis or theory.

It can come in many forms such as observations, measurements, or statistics, and it can be qualitative or quantitative in nature. The purpose of gathering evidence is to evaluate the validity and reliability of an idea or theory by testing it against the facts.

Evidence-based decision-making is the process of using the best available evidence to inform decisions. The goal of evidence-based decision-making is to make decisions that are based on the best available evidence, rather than relying on intuition, tradition, or personal experience.

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18 cm

To determine the area of a truangle the formula (b*h) /2 shall be used.

In this problem the base is 9 cm and the height is 4 cm. therefore those two values should be multiplied, thus giving 36cm. Lastly, 36 should be divided by 2 which should be 18 cm.

Answer:

[tex]\displaystyle \frac{25\pi}{108}\text{units}^2[/tex]

Step-by-step explanation:

The area of a sector is [tex]\displaystyle A=\frac{r^2\theta}{2}[/tex] where [tex]r[/tex] is the radius of the circle and [tex]\theta[/tex] is the angle that is formed by the sector in radians:

[tex]\displaystyle A=\frac{r^2\theta}{2}=\frac{(\frac{5}{6})^2*\frac{2\pi}{3}}{2}=\frac{\frac{25}{36}*\frac{2\pi}{3}}{2}=\frac{\frac{50\pi}{108}}{2}=\frac{50\pi}{216}=\frac{25\pi}{108}\text{units}^2[/tex]

Answer:

66%

Step-by-step explanation:

If you count all the shaded blocks you get 10 to a total of 15 blocks

which simplifies down to 2/3

Answer: 31

Step-by-step explanation: I did this before

The value of x in the algebraic equation '6/9 = x/6' is 4

An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other. The algebraic equation usually consists of a variable, coefficients and constants.

For example 5x+6 = x is an algebraic equation where 5 and 1 are the coefficient of x at the L.H.S and R.H.S respectively. And x is the variable.

in the equation 6/9 = x/6. This equation is an algebraic equation with fraction.

We solve by multiplying both side by the L.C.M which is 18

6/9× 18 = x/6 × 18

12 = 3x

divide both sides by 3

x = 12/3 = 4

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