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The length of the third side will be equal to 21.81 units.

Pythagorean theorem states that in the right angle triangle, the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Given that the bigger side of the triangle is 24 and one of the legs is 10 units. The length of the third side will be calculated as,

Use the Pythagorean theorem,

B² = H² - P²  

B² = (24)² - (10)²

B² = 576  -  100

B = √476

B = 21.81 units

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Answer:

If that means division then here

Step-by-step explanation:

4/2=2

then,

2+8=10

The simplified form of the expression [8q² -2 [q²-2 (3q²-3q+5)​ is 18q² −12q + 20.

Reduce a fraction to its simplest form to simplify it. A fraction is said to be in its simplest form if both its numerator and denominator only contain the number one. As we attempt to solve fractional problems, the process of simplifying difficulties is crucial. Even after we simplify them, the fraction's value will not change. This shows that the true fraction and the simplified fraction are two equivalent fractions.

Lets Simplify

= [8q² -2 [q²-2 (3q²-3q+5)​

= [8q² -2(q²−6q² +6q−10)

= 8q² + 10q² −12q + 20

= 18q² −12q + 20

Thus, The simplified form of the expression [8q² -2 [q²-2 (3q²-3q+5)​ is 18q² −12q + 20.

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Answer:

-30 < s

Step-by-step explanation:

16 > -14 - s

30 > -s

Divided by negative. Because divided by negative, the > will switch to be <

So, the answer is

-30 < s

or

s > -30

The answer is, the no: of students who took the bus is =352 .The given question is a percentage calculating problem.

There were a total of 640 students at a school on Friday.

Every student either walked or took the bus

45% of the total number of students walked to school

Since, 45% of them walked to the school,

Therefore, percentage of the students took the bus =

100%-45% = 55%

Now, finding the number of students took the bus,

55% of 640 = 640×55/100 = 352

Hence, There were 352 students who took the bus

A ratio or value that can be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The Symbol "%" stands for it.

There is no dimension to percentages. As a result, it is known as a dimensionless number. When we say a number is 50% of anything, we mean that it is 50% of everything.

We must divide the value by the entire value to find the percentage, and then multiply the resulting number by 100.

Percentage formula = (Value/Total value) × 100

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The larger number could have been before rounding is 4000001.

We know that both numbers were rounded up to the nearest million and added together to get 7000000.

Since one number was less than 3000000 to start with and both numbers were rounded up, the greatest that the smaller number could have been before rounding is 2999999.

We can use the equation:

(x + y) = 7000000

Where x is the smaller number and y is the larger number before rounding.

We know that x < 3000000 and x = 2999999

So we can substitute these values into the equation:

(2999999 + y) = 7000000

Solving for y:

y = 7000000 - 2999999

y = 4000001

So the greatest that the larger number could have been before rounding is 4000001.

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The inverse of a function "swaps" the x and y values of the original function. To find the inverse of f(x) = 9x², we need to switch the x and y values and solve for x in terms of y:

y = 9x²

To find the inverse function we must isolate x.

x = √(y/9)

So the inverse of the function f(x) = 9x², x ≤ 0 is f^-1(x) = √(x/9), x ≤ 0.

Answer:

[tex]f^{-1}(x)=\dfrac{\sqrt{x}}{3}, \quad x \leq0[/tex]

Step-by-step explanation:

Given function:

[tex]f(x)=9x^2[/tex]

The domain of the given function is restricted:  {x : x ≤ 0}

The range of the given function is restricted:  {f(x) : f(x) ≤ 0}

To find the inverse of a function, swap x and y:

[tex]\implies x=9y^2[/tex]

Rearrange the equation to make y the subject:

[tex]\implies x=3^2y^2[/tex]

[tex]\implies x=(3y)^2[/tex]

[tex]\implies \pm\sqrt{x}=3y[/tex]

[tex]\implies y=\dfrac{\pm\sqrt{x}}{3}[/tex]

As x ≤ 0 then:

[tex]\implies y=\dfrac{\sqrt{x}}{3}[/tex]

Replace y with f⁻¹(x):

[tex]\implies f^{-1}(x)=\dfrac{\sqrt{x}}{3}[/tex]

The domain of the inverse of a function is the same as the range of the original function.  Therefore, the domain of the inverse function is restricted to {x : x ≤ 0}.

The lower quartile is the value at the edge of the box on the lower edge of the box, 62 in this case.

The upper quartile would be 67, since that's the upper edge of the box.

The intensity of an earthquake that measures 3 on the Richter scale than and earthquake that measures 1 is 31*2 times greater.

Every whole number measurement releases energy that is around 31 times more than the previous whole number measurement. A magnitude 2 earthquake is thus 31 times more violent than a magnitude 1 earthquake, for instance.

The Richter scale, also known as the Richter's magnitude scale, Richter's scale, and the Gutenberg-Richter scale, was created by Charles Francis Richter and first published in his seminal 1935 paper under the name "magnitude scale." Charles Richter created the base-10 logarithmic Richter scale in the 1930s.

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To determine a parabola's equation, we can utilize the vertex form. The aim is to formulate a graph's equation in the form y=a(xh)^2+k using the coordinates of its vertex, or maximum or minimum point.

Assuming we can get the coordinates (h,k) from the graph), and then to determine the value of the coefficient a. It is done by writing a quadratic equation in vertex form, which is y=a(x-h)^2+k, where (h,k) is the vertex of the parabola.

The top or bottom point of a parabola is known as its vertex.

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Answer:

Yes

Step-by-step explanation:

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The formula for number pattern is an = dn - c.

A series or sequence that frequently repeats itself is referred to as a pattern. In our daily lives, we notice patterns in things like colours, behaviours, shapes, numbers, etc. They can be finite or infinite and related to any phenomenon or thing. A group of integers that are arranged in a pattern according to a predetermined rule are called a pattern in mathematics. These guidelines specify how to compute or resolve issues. For instance, every number in the series 3,6,9,12, increases by 3. The pattern predicts that the final number will be 12 + 3 = 15.

The most frequent kind of mathematical pattern is a number pattern, in which a list of numbers is arranged in a certain order according to a rule. Algebraic or mathematical patterns, geometric patterns, and the Fibonacci pattern are the various sorts of number patterns.

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The differences between their ages is equal to 15 years.

Since the ages of two brothers are in the ratio 8:3, the age of the first (1st) brother would be represented by 8x while the age of second (2nd) brother would be represented by 3x.

Note: The variable x represents the age in years.

After 3 years, the age of the first (1st) brother would be represented by 8x + 3. Similarly, the age of second (2nd) brother would be represented by 3x + 3.

Translating the word problem into an algebraic equation by using ratios, we have the following:

(8x + 3)/(3x + 3) = 9/4

4(8x + 3) = 9(3x + 3)

32x + 12 = 27x + 27

32x - 27x = 27 - 12

5x = 15

x = 15/5

x = 3.

Now, we can determine the age of the brothers;

First brother's age = 8x = 8 × 3 = 24 years.

And, 2nd brother's age = 3x = 3 × 3 = 9 years.

For the difference, we have:

Difference = 24 - 9

Difference = 15 years.

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1/3 of the bag would be eaten by both cats in 2 minutes while 5/6 of the bag would be eaten by both cats in 5 minutes.

An equation is an expression showing the relationship between numbers and variables.

One little cat can eat a bag of treats in 15 minutes while another cat can eat the same bag of treats in 10 minutes.

a) In 2 minutes:

Part of bag eaten = (1/15 minutes) * 2 minutes + (1/10 minutes) * 2 minutes = 1/3

1/3 of the bag would be eaten by both cats in 2 minutes.

b) In 5 minutes:

Part of bag eaten = (1/15 minutes) * 5 minutes + (1/10 minutes) * 5 minutes = 5/6

5/6 of the bag would be eaten by both cats in 5 minutes.

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The symbols used in graphing linear inequalities are greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), and not equal to symbol (≠).

When two mathematical statements or two numbers are compared in an unequal way, it is known as an inequality in mathematics. Inequalities can generally be classified as either algebraic or numerical, or as a combination of the two. When a polynomial of degree 1 is compared to another algebraic expression of degree less than or equal to 1, this is an example of a linear inequality, which is an inequality involving at least one linear algebraic expression. Different types of linear inequalities can be represented in a number of different ways.

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Answer:

462

Step-by-step explanation:

6×7×10×6 is how you do it

Answer:

Hexagon

Step-by-step explanation

A hexagon can be defined as a closed two-dimensional polygon with six sides. Hexagon has 6 vertices and 6 angles also. Hexa means six and gonia means angles

Answer:

22

Step-by-step explanation:

n + (n+1 )+( n+2) = 69

3n+3 =69

3n=66

n=66/3

n=22

Answer:

first number is 21

second number 23

third number 25.

Step-by-step explanation:

The sum of three consecutive numbers is 69

Let the first number be n

the second number be 2 + n

the third number be 4 + n

n + (2 + n) + (4 + n) = 69

=n + n + n + 2 +4 = 69

=3n + 6 = 69

=3n = 69 - 6

=3n = 63

=3n/3 = 63/3

n = 21

therefore the first number n = 21

the second number 2 + n = 2 + 21 = 23.

the third number 4 + n = 4 + 21 = 25.

Answer:

31kg will cost $ 182.9

Step-by-step explanation:

If 18kg = $106.20

than 31kg = ?

= 31kg/18kg × $106.20

= 3,292.2 /18

=$182.9

These the five sentence about the most important thing to learn about the software engineer career:

Software engineer is a branch of computer engineer science that mainly work to create, secure and manipulating a software. The career on this field mostly start from :

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A triangle is a three-sided polygon whose sum of all the angles is always 180 degrees, not 360 degrees.

No, a triangle is not always 360 degrees. In geometry, a triangle is a three-sided polygon with three angles. The sum of the angles in a triangle is always 180 degrees.

This can be proved using the fact that a straight line is 180 degrees. If we draw a straight line, and divide it into two angles, which are supplementary angles. Therefore, these angles add up to 180 degrees. In a triangle, we can draw one straight line and divide it into three angles, which are supplementary angles, therefore the sum of the angles in a triangle is always 180 degrees.

For example, if a triangle has angles of 90 degrees, 60 degrees, and 30 degrees, the sum of these angles is 180 degrees (90+60+30=180).

Therefore, In short, a triangle is a three-sided polygon whose sum of all the angles is always 180 degrees, not 360 degrees.

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The First Postal Stamp of Pakistan was issued on 9th July, 1948, was designed by Abdul Rehman Cughtai and approved by Quaid-i-Azam on the occasion of the first Independence Day and was adjudged as one of the most beautiful stamps of the world.

Due to the lack of a local press, Pakistan's initial stamps were printed by Thomas De La Rue in London. In 1949, the Pakistan Security Printing Corporation was set up in Malir Halt, Karachi. The first set printed entirely by this press was the 1954 Seventh Anniversary issue.

Title: First Stamp of Pakistan

Creator: Abdul Rehman Cughtai

Date Created: 1948

Physical Location: State Bank Museum & Art Gallery

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A for loop for print the integers 1 through 40, separated by spaces or new lines is represented by #include <iostream>

using namespace std;

int main(){ for(int count=1;count<=40;count++)

printf(" %d",count);}.

A for loop is a repetition control structure that allows you to efficiently write a loop that needs to execute a specific number of times. The structure for writing the " For loop" in C++ programming ,

#include <iostream> using namespace std; int main() { for (int i = 1; i <= 5; ++i) { cout << i << " "; } return 0; } .

We have to print the integers 1 through 40, separated by spaces or new lines. You may use only one variable, count which has already been declared as an integer. The required for-loop is written as the following: Input :

#include <iostream>

using namespace std;

int main(){

for(int count=1;count<=40;count++)

printf(" %d",count);}

Output : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40

The for-loop description-

Hence, the required program code is founded.

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Answer:Hi there the answer is in quizlet is another page :)

Step-by-step explanation:

Answer: C. 3/11

Step-by-step explanation:

first add up all the flowers so 3 roses, 4 daisies, and 4 lilies, 3 +4 + 4 = 11. if only one flower is pink, and there are 3 roses, then there's a 3/11 chance its a rose.

Answer:

0

Step-by-step explanation:

As the die is fair the maximum number you can get on each die is 6 so even if we get both die's to roll on its maximum (6, 6) we still won't get a number above 12, so the probability of getting a number above 12 is impossible.

Answer:120

Step-by-step explanation:

given x= 3 and y= 8,

we have to find the value of 5xy

so let us put the values of x and y in the given expression i.e 5xy.2

= 5×3×8

= 120

 Hence the value of 5 xy is 120.

Answer:

Step-by-step explanation:

If x = 3 and y = 8, then the value of 5xy is simply 5 times the product of x and y.

To find the product of x and y, we simply multiply x and y together:

xy = 3 * 8 = 24

To find the value of 5xy, we simply multiply 5 by the value of xy:

5xy = 5 * 24 = 120

So the value of 5xy when x = 3 and y = 8 is 120

In algebra, the notation "FG" refers to the composition of two functions, "F" and "G", where the output of "G" is used as the input for "F" and the notation is represented as "F(G(x))".

The composition of functions is a way to combine two functions to create a new function. The output of the first function "G" is used as the input for the second function "F". This process is represented by the notation "F(G(x))", where "x" is the input for both functions. The function "F" is applied to the output of the function "G". This composition of functions is useful for modeling complex systems and can simplify mathematical expressions.

It also allows for the creation of more complex functions by combining simpler functions. However, not all functions can be composed and the order of the functions also matters. It's important to note that the order of the functions in composition matters and can change the result of composition.

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The line showing this inequality is B.

A relationship between two expressions or values that are not equal to each other is called inequality.

Given is an inequality, |x - 21| < 3

Solving, the inequality,

|x - 21| < 3

x-21 < 3 and x-21 > -3

x < 24 and x > 18

Since, we get 18 < x < 24,

Hence, the line showing this inequality is B.

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