what advantage does a mercedes g class 6x6 squared have compared to the 4x4 squared for off road driving ?

Answers

Answer 1

The advantage does a Mercedes g class 6x6 squared have compared to the 4x4 squared for off road driving is explained below.

The term class in math is used to define a grouping of values by which data is binned for computation of a frequency distribution

Here we have to find the advantage does a Mercedes g class 6x6 squared have compared to the 4x4 squared for off road driving

Where we all know that in a 4x4 Transfer Case there is a 50:50 split between Front and Rear axles on the other had in a 6x6 we have the Transfer Case splits the torque 33:66 between Front & Rear Axles.

Then the next one is known as intricate rear Suspension such as Short Radius Arms and coil Springs or elliptical leaf springs/Inverted Leaf Springs.

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Related Questions

the image is the question

Answers

The number of 2-button special moves possible with the controller is 42 combinations.

Define the term combination of the numbers?Combination is still a mathematical method for counting the number of potential configurations in a set of elements where the orientation of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up. A combination would be a selection of the whole or a portion of a group of items, regardless of the sequence in which the items are chosen.

For the given query:

The number of total buttons : 4 + 3 = 7

Number of digits two be formed 2-button special moves.

So,

First place cane be filled with all 7 numbers.

Second place can be filled with remaining 6 numbers.

Thus,

= 7 x 6

= 42 combinations.

Thus, the number of 2-button special moves possible with the controller is 42 combinations.

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HELPPPP ME ANSWER THIS I WILL PAY YOU PLEASEE!

Answers

As stated in the problem, the equation can be modeled by the equation:

[tex]y=0.35x[/tex]

The problem also defines the meaning of these variables:

y = bounce height in feet

x = release height in feet

Now, the question asks "If the ball is released from a height of 70 feet, what is the height the ball will achieve after the first bounce?"

From this question, we know that we want to solve for bounce height (y). We are also given the release height (x) of 70. Plug this value into the equation we were given at the start.

[tex]y=0.35(70)[/tex]

Now, just multiply the two values together:

[tex]y=24.5[/tex]

Therefore, we now know that the ball achieved a bounce height of 24.5 ft on the first bounce!

For what value of k does the equation 3(5 + x) + kx + 8 = 7(2x + 3) + (x + 2) have infinitely many​ solutions?

Answers

Answer: 12

Step-by-step explanation:

For the equation to have infinitely many solutions, it must be an identity.

[tex]3(5+x)+kx+8=7(2x+3)+(x+2)\\\\15+3x+kx+8=14x+21+x+2\\\\x(k+3)+23=15x+23\\\\\implies k+3=15 \implies k=12[/tex]

the weight of a toy becomes 330 gm after removing 25% of its spare parts. what was the original weight of the toy.

Answers

The initial weight of the toy before removing the spare parts was found to be 440gm since the weight after 25% removal was given as 330gm

The final weight of the toy after removal of spare parts is given as 330g

Percentage weight removed in the form of spare parts from the toy= 25%

Let us consider the initial weight to be x

The equation becomes,

x – 0.25x = 330, since 25% is removed from the original weight of the toy to give us the final weight of 330gm

0.75x= 330

x = 330/0.75

x = (330*100)/75

x = 440

Therefore, initial weight of the toy was found to be 440g

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I need help asap!! Look at attached image.

Answers

Square pyramid has triangles and square, pentagonal prism has two pentagons and five rectangles,  triangular prism has nine triangles and  triangular pyramid has triangles

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Net of a square pyramid consist of triangles and square.

The net of a pentagonal prism consists of two pentagons and five rectangles.

The net of a triangular prism consists of nine triangles

The net of a triangular pyramid consists of four triangles

Hence, square pyramid has triangles and square, pentagonal prism has two pentagons and five rectangles,  triangular prism has nine triangles and  triangular pyramid has triangles

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Harper is working two summer jobs, making $12 per hour babysitting and $8 per hour landscaping. Harper must earn no less than $140 this week. Write an inequality that would represent the possible values for the number of hours babysitting, bb, and the number of hours landscaping, ll, that Harper can work in a given week.

Answers

Answer:

12B + 8L ≤ 140

Step-by-step explanation:

B = number of hours babysitting.

L = number of hours landscaping.

Harper must earn no less that $140, so the amount Harper must eqrn is greater than or equal to 140.

Amount earned from babysitting at $12/hour = 12B

Amount earned from landscaping at $8/hour = 8L

Total amount earned = 12B + 8L

Inequality:

12B + 8L ≤ 140

find the area of the parallelogram with vertices a(−3, 0), b(−1, 7), c(9, 6), and d(7, −1).

Answers

Th area of parallelogram with vertices (-3, 0), b(-1, 7), c(9, 6), and d(7, -1) is 46.5 square units.

The vertices of a parallelogram are a (-3, 0), b(-1, 7), c(9, 6), and d(7, -1).

Area of triangle abc= [tex]\frac{1}{2}[/tex] [tex]\left[\begin{array}{ccc}-3&0&1\\-1&7&1\\9&6&1\end{array}\right][/tex]

=1/2[-3(7-6)-1(-6-63)]

= 1/2[-3(1)-1(-66)]

=1/2[63]

=63/2 sq. units

Area of triangle acd= [tex]\frac{1}{2}[/tex] [tex]\left[\begin{array}{ccc}-3&0&1\\9&6&1\\7&-1&1\end{array}\right][/tex]

=1/2[-3(6+1)-1(-9-42)]

= 1/2[-3(7)-1(-51)]

=1/2[-21 + 51]

=1/2[30]

=15

Area of parallelogram abcd = Area of triangle abc + Area of triangle acd

= 63/2 + 15

= (63 + 30)/2

= 46.5 sq units.

Therefore, the area of the parallelogram is 46.5 sq. units.

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Answer:

correct answer is 72

Step-by-step explanation:

A surveyor wants to know the length of a tunnel built through a mountain according to his equipment he is located 340 m from the entrance of the tunnel at an angle of 58° to the perpendicular also according to his equipment he is 193 m from the other entrance of the tunnel other angle of 21° to the perpendicular based on these measurements find the length of the entire tunnel

Answers

Answer:

Length of the tunnel is 357.50 meters

Step-by-step explanation:

We are given that,

The surveyor is located 340 meters from one entrance at an angle of 58°.

The surveyor is located 193 meters from one entrance at an angle of 21°.

Let the length of the tunnel = x meters

Using the Law of Cosines,

[tex]x^{2} =(340)^{2}+(193)^{2}-(2)(340)(193)cos(21+58)\\x^{2} =115600+37249-131240cos(79)\\x^{2} =115600+37249-25041.77255\\x^{2} =127807.2274\\x=\sqrt{127807.2274} \\x=357.50 meters\\[/tex]

Hence, the length of the tunnel is 357.50 meters

A school has a square courtyard and wants to create diagonal walkways. The length of each side of the courtyard is 36 yards. Approximately how long is each walkway?O 42 yards
O 60 yards O 12 yards O 38 yards

Answers

Each walkway is around 51 yards long.

Pythagoras Theorem is the way in which you can find the missing length of a right angled triangle.

The triangle has three sides, the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).

Pythagoras is in the form of;

a²+b²=c²

However, it can also be written in the form of c²=a²+b²

In order to find the hypotenuse, you will have the length of two sides, for example, these could be 3 and 4.

As 'C' is always the hypotenuse, you have to work out the two other lengths, and you do this by squaring the numbers.

3²=9 and 4²=16.

As you're looking for C, you've got to add these together

9+16=25

As a²+b²=c², this means that the answer for C is the square root of 25.

√25= 5

Divide the square in half to make a right triangle. Now, use Pythagoras' theorem to solve for the hypotenuse.

a²+b²=c²

⇒ 36²+36²=c²

⇒ 1296+1296=c²

⇒ 2592=c²

∴ c =50.9116

Round to the nearest whole number, we get c = 51 yards.

Thus, each walkway is around 51 yards long.

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define a function that transforms the parent root function with a horizontal compression by a factor of 5 and a downward shift of 10 units

Answers

a function that transforms the parent root function with a horizontal compression by a factor of 5 and a downward shift of 10 units is: [tex]f(x) = \sqrt[n]{5x} -10[/tex]

What is function?

The function is a mathematical phrase, rule, or law that establishes the connection between an independent variable and a dependent variable (the another variable).

A function is described as a relationship between a group of inputs and one output each. A function is, to put it simply, a connection between inputs in which each input is connected to exactly one output.

Parent root function is given by:

[tex]f(x) = \sqrt[n]{x}[/tex]

According to rules-

Compression would be achieved by multiplying the  by 5. So, we would have: [tex]\sqrt[n]{5x}[/tex]Downward vertical shift would be achieved by adding a  to the function.So, [tex]\sqrt[n]{x}-10[/tex]

Combining these 2 transformation gives us the function: [tex]f(x) = \sqrt[n]{5x} -10[/tex]

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there are 300 employees in a certain company. the human resources department wants to draw a sample of 20 employees to fill out a questionnaire about their attitudes toward their jobs. they make a list of all 300 employees, and number them from 1 to 300. then a random number generator on a computer or a calculator was used to generate 20 random numbers between 1 and 300. the employees who correspond to these numbers comprise the sample. what kind of sample was generated?

Answers

A random sample variance is when a subset of individuals from a population is chosen using a random selection method, such as a random number generator, to ensure that each individual has an equal chance of being chosen.

A random sample is a type of sampling method used to select individuals from a population to form a sample. To generate a random sample, a list of all the individuals in the population must first be created. Each individual should be numbered consecutively. A random number generator, such as a computer or calculator, can then be used to generate a list of random numbers between 1 and the total number of individuals in the population. The individuals who correspond to the numbers generated by the random number generator form the sample. This ensures that each individual in the population has an equal chance of being chosen for the sample.

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Which statement correct

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The correct option for the given congruence of triangle is:

ΔGTA ≅ ΔQME.

Define the term congruence of triangle?Congruent refers to a thing that is "absolutely equal" in terms of size and shape. The shapes hold true regardless of how we rotate, flip, or turn them. If all 3 corresponding sides and all three corresponding angles remain equal in size, two triangles are referred to as congruent.

Consider the order in the given triangles: ΔGTA and ΔQME:

GT = QM

TA = ME

AG = EQ

Thus,

ΔGTA ≅ ΔQME

By using the side side side (SSS) congruence.

Therefore, the correct option for the given congruence of triangle is:

ΔGTA ≅ ΔQME.

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The correct number of question is 11.

f(x)=\left\{\begin{array}{ll}x+4&\quad-4\le x < 3\\2x-1&\quad3\le x < 6\end{array}\right.

Answers

This is a piecewise defined function. For input values of x between -4 and 3 (exclusive), the function is defined as f(x) = x + 4. For input values of x between 3 and 6 (exclusive), the function is defined as f(x) = 2x - 1.

The square with vertices a a a a a a a a is cut by the line y x 2 into congruent quadrilaterals The perimeter of one of these congruent quadrilaterals divided by a equals what Express your answer in simplified radical form

Answers

The simples radical form in which the line divides quadilateral is 4 + √ 5

What is congruent quadrilaterals?

Congruent quadrilaterals are quadrilaterals that have the same size and shape. They have corresponding sides and angles that are equal in measure. In other words, if one quadrilateral can be superimposed on another, they are congruent.

y  =  x/2

This line will  intersect the square at x values  -a  and a

So....the associated y values are:

y =  (-a)/2  =  -a/2     and   (a)/2  

So....the perimeter of one of the quadrilaterals is

=> 2a  +  [(a) -  (-a/2)] + [(a) - a/2 ]  + √  [ ( a - (-a)) ^2 + ( a/2 - (-a/2)^2]  =

=> 2a  + 3a/2  + a/2  + √  [ 4a^2  + a^2 ]  

4a  +  a√ 5  

dividing the above equation by a  produces  = 4  + √ 5

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Complete question:

The square with vertices (-a, -a), (a, -a), (-a, a), (a, a) is cut by the line y = x/2 into congruent quadrilaterals. The perimeter of one of these congruent quadrilaterals divided by a equals what? Express your answer in simplified radical form.

Solve for X, Leave in simplest radical

Answers

The value of x in the simplest radical form is 6.633

What is value ?

Value in mathematics can refer to a number of concepts that are closely related. Any specific mathematical object can be a mathematical value in general. In elementary mathematics, this is typically a number, such as a real number like or an integer like 42.

The value describes the value of each digit in relation to its position in the number. The place value and face value of the digit are multiplied to arrive at the answer. Value equals Place Value minus Face Value. For illustration, let's look at the number 45.

The things that someone values are known as their values. In other terms, values are what a person or a group of people see as "important." Examples include valor, integrity, freedom, and creativity, among others.

cos Ф = adjacent / hypotenuse

cos 45° = √22 / x

x = √22 / cos 45°

  = (√22* √2 )

  = √44

  = 6.633

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Find the antiderivative of sinx cos x using 5 different ways. Show that your answers are equivalent.

Answers

All these antiderivatives are equivalent as they are different ways of solving the same problem and differ only by a constant value.

What is an antiderivative?

An antiderivative, also known as a primitive function or indefinite integral, is the reverse operation of taking a derivative. In other words, if the derivative of a function f(x) is g(x), then f(x) is said to be an antiderivative of g(x).

The antiderivative of sin(x)cos(x) can be found using the product-to-sum identities:

(sin(x)cos(x))' = (sin(x)cos(x))'
                      = (1/2)(cos(2x) - sin(2x)) + C

Another way to find the antiderivative of sin(x)cos(x) is to use the chain rule:
(sin(x)cos(x))' = (sin(x))'cos(x) + sin(x)(cos(x))'
                     = -sin(x)cos(x) + cos(x)sin(x) + C

A third way is to use integration by parts, where we take u = sin(x) and dv = cos(x)dx. This gives us:
(sin(x)cos(x))' = sin(x)cos(x) - ∫cos(x)sin(x)dx + C

Another way is to use the substitution method, where we set u = cos(x) and du = -sin(x)dx. This gives us:
(sin(x)cos(x))' = sin(x)cos(x) + ∫-sin(x)cos(x)du + C

Lastly, we can use the trigonometric identity method where we use sin(2x) = 2sin(x)cos(x) and integrate.
This gives us: (sin(x)cos(x))' = (1/2)sin(2x) + C

Hence, All these antiderivatives are equivalent as they are different ways of solving the same problem and differ only by a constant value.

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Explain how u got answer pls help
D) 3-2 (s-1) = 13+6s
Answer: -1
E) 2 (n+9) = -6 (2n-5) +8
Answer: 10/7
F) 5 (4k-3) -5k = 10+2 (3k+1)
Answer: 3

Answers

Answer:

See below

Step-by-step explanation:

Better description of what you want.

D)

3 - 2(s - 1) = 13 + 6s  Distribute the -2

3 -2s + 2 = 13 + 6s  Combine like terms

5 - 2s = 13 + 6s  Add 2s to both sides

5 - 2s + 2s = 13 + 6s + 2s

5 = 13 + 8s  Subtract 13 from both sides

5 - 13 = 13 - 13 + 8s

-8 = 8s  Divide both sides by 8

[tex]\frac{-8}{8}[/tex] = [tex]\frac{8s}{8}[/tex]

-1 = s

E)

2(n + 9) = -6 (2n-5) + 8  Distribute the 2 nd the -6

2n + 18 = -12n + 30 + 8  Combine like terms

2n + 18 = -12n + 38  Add 12n to both sides

2n + 12n + 18 = -12n + 12n + 38

14n + 18 = 38  Subtract 18 from both sides

14n + 18 - 18 = 38 - 18

14n = 20  Divide both sides by 14

[tex]\frac{14n}{14}[/tex] = [tex]\frac{20}{14}[/tex]

n = [tex]\frac{20}{14}[/tex]  Divide the numerator and denominator by 2 to simplify

n = [tex]\frac{10}{7}[/tex]

F)

5(4k -3) -5k = 10 +2(3k + 1)  Distribute the 5 and the 2

20k -15 - 5k = 10 +6k +2  Combine like terms

15k - 15 = 12 + 6k  Subtract 6k from both sides

15k - 6k - 15 = 12 + 6k -6k

9k -15 = 12  Add 15 to both sides

9k - 15 + 15 = 12 + 15

9k = 27  Divide both sides by 9

[tex]\frac{9k}{9}[/tex] = [tex]\frac{27}{9}[/tex]

k = 3

(0) To wash a window that is 9 meters off the ground, Hazel leans a 10-meter ladder against
the side of the building. To reach the window, how far away from the building should Hazel
place the base of the ladder? If necessary, round to the nearest tenth.

Answers

The distance between base of ladder and the building should be

4.4 meter.

What is Pythagoras theorem?

The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.

AC² = AB² + BC²

Given,

Height of the window from the ground AB = 9 meter

Length of the ladder AC = 10 meter

Distance between base of ladder and building BC = ?

By Pythagorean theorem,

In the right ΔABC

AC² = AB² + BC²

10² = 9² + BC²

BC² = 10² - 9²

BC² = 100 - 81

BC² = 19

BC = √19

BC = 4.359 meter

BC = 4.4 meter

Hence, base of ladder should be 4.4 meter away from the building.

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jim wants to buy a 5-pound mixture of chocolates. if kind 1 sells for $1.80 per pound, and kind 2 sells for $2.30 per pound, how much of each kind can he buy for $10? i just am not really sure what the question is asking, and if i did know i'm not sure how to solve it

Answers

Jim can buy 3.75 pounds of kind 1 and 1.25 pounds of kind 2 chocolate for $10 by setting up and solving a system of equations.

The question is asking how much of each kind of chocolate Jim can buy for $10. To solve this, you can set up a system of equations.

Let x = pounds of kind 1, and y = pounds of kind 2

x + y = 5 (total pounds of chocolate)

1.8x + 2.3y = 10 (cost of chocolate)

Solving the system of equations, you get x = 3.75 pounds of kind 1 and y = 1.25 pounds of kind 2. Jim can buy 3.75 pounds of kind 1 and 1.25 pounds of kind 2 for $10.

1.8x + 2.3y = 10

1.8x = 10 - 2.3y

x = (10 - 2.3y)/1.8

x + y = 5

x = 5 - y

(10 - 2.3y)/1.8 = 5 - y

10 - 2.3y = (1.8)(5 - y)

10 - 2.3y = 9 - 1.8y

1.2y = 10 - 9

1.2y = 1

y = 1/1.2

y = 0.833 (rounded to 1.25)

x = 5 - y

x = 5 - 0.833

x = 4.167 (rounded to 3.75)

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You and a friend are hiking and find yourselves near the top of a waterfall. There is a path to hike down that takes 1.5 miles to reach the bottom safely and go swimming. There is also a path that is 1.2 miles down to a great place to eat lunch. Your friend wants to stay at the top of the waterfall and fly his drone overhead to take pictures from the sky. A drone is a flying robot that can be remotely controlled with computer software or technology. Draw a vertical number line to help you answer the
questions.


Part A: How far would the drone need to fly up in the air to be the opposite distance from you when you are eating lunch? (3 points)

Part B: How far would the drone need to fly up in the air to be the opposite distance from you when you are swimming? (3 points)

Part C: What does the value of zero represent in this problem? (3 points)

Part D: Use absolute value to show that if you hike down to go swimming and then hike back to the top to meet your friend that you hiked the same distance in both directions. (3 points)
Help me please

Answers

Answer:

so the square root is x so when you point the square root at the rwaterfall you waill have your

Step-by-step explanation:

the drone would need to be 1.4 miles away from your to be the opposite value. pou pou pou pou pou pou pou pou pou pou pou pou ufo p

Step-by-step explanation:

A number cube is tossed 60 times.


Outcome Frequency
1 12
2 13
3 11
4 6
5 10
6 8

Determine the experimental probability of landing on a number greater than 4.
17 over 60
18 over 60
24 over 60
42 over 60

Answers

The experimental probability of a cube tossed 60 times, landing on a number greater than 4 is the option;

18 over 60

What is the probability of an event?

A probability is the fraction or proportion of the times an event will occur when an experiment or task is repeated. It is the measure of the liklyhood an event will occur

Probability compares the number of times an event occurs to the number of times all possible event outcomes occurs.

The formula for the experimental probability is presented as follows;

[tex]Probability = \frac{The \ sum \ of \ the \ times \ the \ event \ takes \ place}{The \ sum \ of \ the \ trials}[/tex]

The number of times the outcome from tossing the coin is greater than 4 obtained by adding the frequencies when for the outcomes of 5 and 6 are;

Number of outcomes greater than 4 = 10 + 8 = 18

The sum of all trials = 12 + 13 + 11 + 6 + 10 + 8 = 80

Therefore, the experimental probability = 18/60

The correct option is; 18 over 60

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Answer: B: 18/60 (18 over 60)

Step-by-step explanation:

a student spins the spinner twice and records the number that the spinner lands on each time. what is the probability that the sum of the two recorded numbers is less than $4$, if the probability of spinning each number is $\frac 14$? express your answer as a common fraction.

Answers

The probability of the sum of the two recorded numbers being less than 4 is $\frac{3}{4}$.

What is probability?

Probability is the measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 means the event will not occur and 1 means the event will occur. Probability is used in mathematics, statistics, and other sciences to measure the chances of a certain outcome. Probability is also used in gambling and other forms of betting to determine the likelihood of a certain outcome occurring.
This is because there are three possible scenarios in which the sum of the two numbers can be less than 4:

1) both numbers are 1 (probability of $\frac{1}{4} \times \frac{1}{4} = \frac{1}{16}$)

2) one number is 1 and the other is 2 (probability of $\frac{1}{4} \times \frac{1}{4} = \frac{1}{16}$).

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The probability of the sum of the two recorded numbers being less than 4 is [tex]\frac{3}{4}[/tex].

What is probability?

Probability is the measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 means the event will not occur and 1 means the event will occur. Probability is used in mathematics, statistics, and other sciences to measure the chances of a certain outcome. Probability is also used in gambling and other forms of betting to determine the likelihood of a certain outcome occurring.

This is because there are three possible scenarios in which the sum of the two numbers can be less than 4.

1) both numbers are 1 (probability of [tex]\frac{1}{4}[/tex] × [tex]\frac{1}{4} = \frac{1}{16}[/tex])

2) one number is 1 and the other is 2 (probability of [tex]\frac{1}{4}[/tex] × [tex]\frac{1}{4} =[/tex] [tex]\frac{1}{16}[/tex])

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Holly's garden is divided into 5 equal sections. She will fence the garden into 3 areas by grouping some equal sections together. What part of the garden would each fenced area be? please help I forgot how to do it for my lil brother just answer E

Answers

There are two ways to fence the garden in 3 areas with some equal sections.

2/5, 2/5, 1/5 and 3/5, 1/5, 1/5.

Fraction definition

A fraction depicts a segment or component of the whole. It represents the equal parts that make up the whole. A fraction is made up of two parts: the numerator and the denominator. The number at the top is the numerator, and the number at the bottom is the denominator. The denominator specifies the total number of equal parts in the whole, whereas the numerator specifies the number of equal parts that are taken.

Given The garden is divided into 5 equal pieces, each of which is 1/5 of the total garden size.

By arranging some equal parts together, she will fence the garden into three sections. There are two ways to do this.

(1/5 +1/5) = 2/5

(1/5 +1/5) = 2/5

1/5

these are the 3 areas 2/5, 2/5, 1/5.

and

(1/5 +1/5 + 1/5) = 3/5

1/5, 1/5

these are 3 areas =  3/5, 1/5, 1/5.

Hence there are only two ways to fence the garden into three areas by grouping some equal sections.

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A mall wading pool it’ 24 gallon of water. Water leaked out at a rate of 2 gallon every three day. At thi rate, how many day doe it take for all 24 gallon of water to leak out of the pool?

Answers

So, it would take 36 days for all 24 gallons of water to leak out of the pool at this rate

To find out how many days it takes for all 24 gallons of water to leak out of the pool, we need to determine the rate at which the water is leaking and use that to calculate the total time it takes for the pool to empty.

We know that the pool initially has 24 gallons of water and that it is leaking out at a rate of 2 gallons every 3 days. This means that the pool loses 2/3 of a gallon of water per day.

To find out how many days it will take for the pool to empty, we can divide the total amount of water in the pool by the rate at which it's leaking out.

24 gallons / (2/3 gallons/day) = 24*3/2 = 36 days

Therefore, it would take 36 days for all 24 gallons of water to leak out of the pool at this rate.

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a council has 6 men and 3 women. if we randomly choose two of them to co chair a committee, what is the probability these chairpersons are the same gender

Answers

There are a total of 9 women and 6 men on the council, for a total of 15 council members.

If we randomly choose 2 of them to co-chair a committee, the number of ways to choose 2 people of the same gender is:

The number of ways to choose 2 women out of the 3 women on the council is 3 choose 2 = 3.The number of ways to choose 2 men out of the 6 men on the council is 6 choose 2 = 15.

So the total number of ways to choose 2 people of the same gender is 3+15 = 18.

The total number of ways to choose 2 people without considering their gender is 15 choose 2 = 105

So the probability of choosing 2 people of the same gender is 18/105 = 6/35

So, the probability that these chairpersons are the same gender is 6/35.

a. dilate triangle using center and scale factor . b. what do the properties of dilations tell you about angle ?

Answers

Triangle ΔABC is comparable to triangle ΔABC, which was formed after ABC's dilatation. The appropriate answers are The characteristics of dilations show that angles ∠B =∠ B'.

How do you define an angle?

In Euclidean geometry, an angle is a shape made up of two rays, referred to as the flanks of the hook, that converge at the vertex of both the angle, which is located in the centre. Two rays may combine to form an angle in the plane in which they are positioned. Two planes colliding results in an angle as well. We refer to them as dihedral angles.

Here,

Assuming that A (0, -3), C (0, 5), and B are the triangle's vertices (6, 3)

Set point P to be (0, 0)

There is;

A' = 3/2 * (0,-3) = (0,-9/2) = (0,-4.5) (0,-4.5)

C' = 3/2 * (0,5) = (0, 15/2) = (0,7.5) (0,7.5)

B' = 3/2 * (6,6/3) = (9 , 9/2) = (9,4.5) (9,4.5)

Therefore, on a scale, the image of ABC is bigger than that of the image of A'B'C.

The proportion of the adjacent angles of ABC is given by a factor of 1.5.

since and "A'B'C" are both equal, the angle made by section BC and

BA,

AB/sin(C) = AC/sin(B)

AB/sin(C) = A'C'/A'B' = sin(B)/sin (C)

This means that

sin(B)/sin(C) = sin(B')/sin(C').

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The complete question is "A. Dilate triangle ABC using center p and scale factor 3/2.

B. What do properties of dilations tell you about B'? (please answer B)"

Which formula is used to find a Centre of a circle?

Answers

A formula is used to find a Center of a circle with a (h, k) center and a radius of r has the equation:

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

A circle is a collection of all points in a plane that are uniformly distanced from a fixed point. The radius of a circle is the difference between the center and any point itself along the perimeter.

A circle is a closed curve that extends outward from a set point known as the center, with each point on the curve being equally spaced from the center. The equation for a circle with a (h, k) center and a radius of r is:

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

This is the equation's standard form. So, if we know the radius and center coordinates of a circle, we can rapidly determine its equation.

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Is it possible to draw a triangle with sides 4cm 3cm and 7cm give reason to support your answer?

Answers

No , it is not possible to draw a triangle with the given side length of 4cm , 3cm , and 7cm as sum of two sides ( 4cm + 3cm ) is not greater than the third side ( 7cm).

As given in the question,

Measure of the required triangle are given as follow:

Measure of Side length 1 = 4cm

Measure of Side length 2= 3cm

Measure of Side length 3 = 7cm

To draw a triangle following condition need to be satisfied:

Sum of the measure of two side length is always greater than the measure of the third side length.

Here for a given triangle ,

4cm + 3cm

= 7cm

= measure of the side length 3

It does not satisfied the required property to draw a triangle.

Therefore, it is not possible to draw a triangle with given measurements as ( 4cm + 3cm ) is not greater than the third side.

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bus 1 leaves at 8 am at 80 mph from point b to point a, 550 miles away. bus 2 leaves point a at 8:30am to point b at 90 mph. what time will they pass each other?

Answers

The bus 2 will pass bus 1 at 12.30 pm, when both are at 360 miles.

The bus 1 starts half hour earlier than bus 2. But since bus 2 is faster, it will overtake at some point. At 8 am, bus 1 will start. By the time 8.30, it will cover a distance of 40 miles.

Bus 2 starts at 8.30, So it will be at 0 miles.

By 10, the bus 1 will be at 160 miles, bus 2 at 135 miles

By 10.30, the bus 1 will be at 200 miles, bus 2 at 180 miles.

By 11.30, bus 1 will be at 280 miles, bus 2 will be at 270 miles

By 12.30, bus 1 will be at 360 miles, bus 2 will be at 360 miles.

So at the 360 the, the both the buses passes each other.

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a bag contains 8 green marbles, 12 red marbles, and 16 blue marbles. what is the probability that a person reaches into the bag and randomly selects a green marble? enter your answer in the box as a fraction in simplest form.

Answers

On solving the provided question, we can say that the probability of both = 4/9*1/3 or 4/27

What is probability?

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

18 marbles  = 8 are blue and 6 are red .

probability  a blue marble = 8/18 = 4/9.

probability of getting a red marble i=6/18 = 1/3.

probability of both = 4/9*1/3 or 4/27

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