5x - 12=18
Solve for x

Answer:

The perimeter of the figure is : 22.4 cm

The area of the figure is : 30.2 cm²

Step-by-step explanation:

From the diagram, the figure is a rectangle.

Use the coordinate points to find the lengths of each side.

Side length AD = side length BC

Apply the Pythagoras relationship to find length BC as;

a² + b²= c²   where a=2 cm and b = 4 cm and c =BC

2² + 4² = c²

4+16 = c²

20 = c²

c= √20 = 4.4721

Length BC = Length AD = 4.5 cm

Side length AB = Side length DC

Apply the Pythagoras relationship to find length DC as;

a² + b²= c²   where a=6 cm and b = 3 cm and c =DC

6² + 3² =c²

36 + 9 = c²

45 = c²

√45 = c

c= 6.7082

c = DC = 6.7 cm

Now you have measurements of the rectangle as;

Length = 6.7 cm and width = 4.5 cm

The perimeter will be ;

P= 2{l +w} --------- where l is length and w is width and P is perimeter of the rectangle

P=2{6.7 + 4.5}

P=2{11.2}

P= 22.4 cm

The area will be ;

A= l*w

A= 6.7 * 4.5 = 30.15 = 30.2 cm²

The perimeter of the figure is : 22.4 cm

The area of the figure is : 30.2 cm²

Answer:

its wrong

Step-by-step explanation:

Answer:

2/121, 1/121

Step-by-step explanation:

Problem 1:

We have the following letters in the bag:

P R O B A B I L I T Y

There is a total of 11 letters.

If we select B, we have a 2/11 chance to get it. If we then replace it and select A, we have a 1/11 chance to select it.

Thus we have a (2/11) * (1/11) chance to get that combination,

Which is 2/121.

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

Problem 2

We have the following letters in the bag:

P R O B A B I L I T Y

There is a total of 11 letters. If we select P, we have a 1/11 chance to get it. If we then replace it and select L, we have a 1/11 chance to select that.

Thus we have a (1/11) * (1/11) chance to get that combination,

Which is 1/121.

Answer:

Addition

Step-by-step explanation:

Better to use addition since you already have a -4y and +4y. So if you add them together it will cancel out!

x = -5 and y = -6.

We can use either of the addition or subtraction as both will involve the same process of solving the equation.

We have a system of equations -

7x - 4y = - 11

7x + 4y = - 59

We have to investigate on the process of solving these equations.

A system of linear equations is a collection of one or more linear equations involving the same variables.

According to the question, we have -

7x - 4y = - 11

7x + 4y = - 59

We would subtract second equation from first as follows -

7x - 4y - (7x + 4y) = - 11 - (- 59)

7x - 4y - 7x - 4y = -11 + 59

-8y = 48

y = - 6

therefore -

7x - 4y = - 11

7x - 4(- 6) = -11

7x + 24 = -11

7x = -11 - 24

7x = - 35

x = -5

Hence, x = -5 and y = -6.

We can use either of the addition or subtraction as both will involve the same process of solving the equation.

To solve more questions on System of Linear equations , visit the link below-

https://brainly.com/question/17053411

#SPJ2

Answer:

Step-by-step explanation:

b

Answer:

it's 400-

Step-by-step explanation:

total minutes a day is 40, multiplied by 10 days

Answer:

convergent

Step-by-step explanation:

the function increases or decreases or as the number of terms of the series increases.

Answer:

Divergent

Step-by-step explanation:

The series can be written as:

∑ 1 / (4n − 1)

We can compare this to 1 / (5n).  1 / (5n) is smaller and diverges (p-series test).  Therefore, the larger function also diverges.

Answer:

Terminating

Step-by-step explanation:

1/16=0.0625, 1/8=0.125, 1/4=0.25, 1/2=0.5; which are all terminating.

Answer:

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

If the ratio is 5:2, then you just have to divide 5 / 2.

5 / 2 = 2.5

Answer:

If 5 cups of flour= 2 cups of sugar

1 cup=1×2/5

        =2/5

Step-by-step explanation:

Answer:

7:11

Step-by-step explanation:

No of linemen = 7

No of running backs = 2

No of fullback = 1

No of quarterback =1

The total no of players on the team = 7+2+1+1 = 11

We need to find the ratio of the number of linemen to the total number of players on the team.

R = 7/11

or

R = 7:11

Hence, the required ratio is 7:11.

Answer:

One solution

Step-by-step explanation

Answer:

A÷2πr=h

Step-by-step explanation:

Area=2πrh

making h the subject = A÷2πr=h

Answer:

1. r1 || r2 because of the same side or consecutive interior theorem

2. l1 || l2 because they are corresponding angles

The angle formed between two parallel lines having a common transversal have several common properties

The correct responses are;

1.  Lines r₁ and r₂ are parallel

2. Lines, l₁ and l₂ are parallel

lines r₁ and r₂, are parallel

The reason why the given lines are parallel are as follows:

1. The given figures are presented as shown in the attached diagram

From the diagram, we have that the same side interior angles formed by the common transversal l₂ the lines r₁ and r₂ are 63° and 117°, which are supplementary angles (63° + 117° = 180°)

Therefore, lines r₁ and r₂ are parallel given that same side interior angles formed by two parallel lines having the same transversal are supplementary

2. From the attached diagram, we have;

The alternate exterior angles formed between the lines, l₁ and l₂ that have the common transversal r₁ are equal, therefore;

Lines, l₁ and l₂ are parallel, given that the alternate exterior angles formed by two parallel lines having a common transversal are equal

From the diagram, we also have that the other angle of the linear pair angle with the 63° angle is 117°, and the second angle of the linear pair angle is both either corresponding angle and alternate interior angle with the given 117°

Therefore, lines r₁ and r₂, are parallel given that corresponding angles and the alternate interior angles formed between parallel lines having a common transversal are equal

Learn more about the angles formed between parallel lines having a common transversal here:

https://brainly.com/question/15937977

Answer:

The zoo has 43 chickens.

Step-by-step explanation:

I did the math. Teehee ur welcome :)

Answer:

0.20

Step-by-step explanation:

Answer:

22.778%

Step-by-step explanation:

0.22778/1*100/100=22.778/100

Using the probability concept, it is found that:

a) i) There is a 0.059 = 5.9% probability that the first person selected is either in maintenance or a secretary.

ii) There is a 0.849 = 84.9% probability that the first person selected is not in management.

b) The events are neither complementary nor mutually exclusive.

A probability is the number of desired outcomes divided by the number of total outcomes.

Item a:

In this problem, there is a total of 120 + 50 + 1460 + 302 + 68 = 2000 people.

[tex]p = \frac{118}{2000} = 0.059[/tex]

There is a 0.059 = 5.9% probability that the first person selected is either in maintenance or a secretary.

Item ii:

2000 - 302 = 1698 people are not in management, hence:

[tex]p = \frac{1698}{2000} = 0.849[/tex]

There is a 0.849 = 84.9% probability that the first person selected is not in management.

Item b:

If a person is either in maintenance or a secretary, they are also not in management, hence the events are neither complementary nor mutually exclusive.

To learn more about the probability concept, you can take a look at https://brainly.com/question/24437717

Following are the solution to the given points:

For point a:

i)

[tex]\to P(B \cup E) = P(B) + P(E) - P( B\cap E)[/tex]

Where [tex]P(B \cap E) = 0[/tex] because they are both separate occasions It is impossible to be a member of both departments.  

[tex]\to P(B\cup E) =\frac{50}{120 + 50 + 1460 + 302 + 68} +\frac{68}{120 + 50 + 1460+ 302 +68}\\\\[/tex]

                    [tex]=\frac{50}{2000} +\frac{68}{2000}\\\\=\frac{50+68}{2000} \\\\=\frac{118}{2000} \\\\=\frac{ 59}{1000} \\\\=0.059\\[/tex]

ii)

[tex]\to P(D^c) = 1 - P(D)[/tex]

               [tex]=1- (\frac{302}{120+50+1460+302+68})\\\\=1- (\frac{302}{2000})\\\\=1- (\frac{ 151}{1000})\\\\= 1- 0.151 \\\\= 0.849\\\\[/tex]

For point b:

Please find the attached file.

For point c:

Events in a. I are mutually incompatible since [tex]P(B \cap E) = 0[/tex]. One would be a part of the both departments.

Learn more:

brainly.com/question/20661176

Answer: 33

Step-by-step explanation:

(9,-4) and (5,3)

=9*5+(-4)*3

=33

Answer:

ill help you with my long shalong

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

6x +2 =5x +17

6x - 5x =17 - 2

x =15

unique solution

Answer:

The answer would be C Hope this helps :)

Step-by-step explanation:

Answer:

C, D, E

Step-by-step explanation:

A. and B. are both less than or equal to 34.06. The others are greater than 34.06

can be tested by subtracting 34.06 by the other numbers and with a negative result, it is greater than 34.06.  for example 34.06 - E. (54.06) = -20

so E(54.06) is greater than 34.06. If you couldn't already tell.

B is incorrect because it is equal to 34.06. A also is incorrect. This is because it is less than 34.06. 34.06 - A.(18.058) = 16.002. The result of a positive number means it is less than the number on the right of the inequality sign.

Answer:

Step-by-step explanation:

Let the speed of runner be r and speed of cyclist be c

We have following equations based on the given

Simplifying first equation

Comparing this with second equation

And finding the value of c

Answer:

380058.475044

Answer:

Step-by-step explanation:

380058.475044

Answer:

(A) c) 0.1

(B) a) 0.9

(C) b) 0.5

(D) b) 0.1

(E)  b) 0.18

Step-by-step explanation:

Given;

P(science) = 0.3

P(Arts) = 0.6

P(no degree) = 0.2

(A) The probability a student gets a Bachelor of Arts and Science degree;

= 1 - [P(science) + P(Arts)]

= 1 - (0.6 + 0.3)

= 1 - 0.9

= 0.1

(B) The probability a student gets a Bachelor of Arts degree or a Bachelor of Science degree is

= P(Science) + P(Arts)

= 0.3 + 0.6

= 0.9

(C) The probability a student gets only a Bachelor of Arts degree is

= P(Arts ) - P(Science and Arts)

= 0.6 - 0.1

= 0.5

(D) The probability a student gets a Bachelor of Arts and Science degree is:

1 - [P(science) + P(Arts)]

= 1 - (0.6 + 0.3)

= 1 - 0.9

= 0.1

(E) Independent case

= P(Science) and P(Arts)

= 0.3 x 0.6

= 0.18

Answer:

he is the number of people

Answer:

A. 2

Step-by-step explanation:

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Use any two points given in the table of values. Let's use (1, 5), (3, 9)

Let,

[tex] (1, 5) = (x_1, y_1) [/tex]

[tex] (3, 9) = (x_2, y_2) [/tex]

Plug these values into the slope formula:

[tex] slope (m) = \frac{9 - 5}{3 - 1} [/tex]

[tex] slope (m) = \frac{4}{2} [/tex]

[tex] slope (m) = 2 [/tex]