What is the probability that a point chosen randomly inside the rectangle is in the square?

Answer:

Rectangle 1   4, 4, 2 and 2

Rectangle 2  5, 5, 1 and 1

Rectangle 3  3.5, 3.5, 2.5 and 2.5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

[tex]\\\\\hookrightarrow 2x^{2} +2x-4[/tex]

Step-by-step explanation:

[tex]\hookrightarrow (2x+4)(x-1) \\\\\hookrightarrow 2x(x-1)+4(x-1)\\\\\hookrightarrow 2x^{2} -2x+4x-4\\\\\hookrightarrow 2x^{2} +2x-4[/tex]

Answer:

[tex]\huge\boxed{\bf{(2x + 4)(x - 1) = 2x^2 + 8x - 4}} [/tex]

Step-by-step explanation:

[tex]\sf \to (2x + 4)(x - 1) [/tex]

[tex]\sf \to x(2x + 4) + 4(x - 1) [/tex]

[tex]\sf \to 2x^2 + 4x + 4x - 4 [/tex]

[tex]\sf \to 2x^2 + 8x - 4 [/tex]

[tex]\: [/tex]

[tex]\huge\colorbox{red}{BlackPain} [/tex]

Answer:

10 times

Step-by-step explanation:

20= tenths place

200=hundredths place

20 x 10= 200

Answer:

75% of people own a dog.

Step-by-step explanation:

We apply the percentage formula in this problem

Total People * X/100 = Groups of people

Fill in the values

24 * X/100 = 18

We now Simplify the equation.

After simplifying you should get X=75, meaning 75% of people own a dog.

Let S be Sonny age now and W be Wale age now

[tex]S=2W[/tex]

[tex]S-4=4(W-4)[/tex]

[tex]S-4=4W-16[/tex]

[tex]S=4W-16+4=4W-12[/tex] but [tex]S=2W[/tex]

[tex]2W=4W-12[/tex]

[tex]2W-4W=-12[/tex]

[tex]-2W=-12[/tex]

When will the sum of their ages be 66? Let x be the number of years from now that the sum of their ages be 66, so Sonny will be [tex]12+x[/tex] and Wale will be [tex]6+x[/tex]:

Therefore, 24 years from now, Sonny will be [tex]12+24=36[/tex] years old and Wale will be [tex]6+24=30[/tex] years old and the sum of their ages will be [tex]36+30=66[/tex] years.

Learn more: https://brainly.com/question/1383487

Answer:

7hours and 16 minutes

Step-by-step explanation:

8:15-9:15 is one hour. 9:15-10:15 is two hours. 10:15-11:15 is three hours.11:15-12:15 is four hours. 12:15-1:15 is five hours. 1:15-2:15 is six hours. 2:15-3:15 is seven hours. 3:15-3:31 is 16 minutes.

Answer:

Step-by-step explanation:

Completing square:

3 + x = x² + 3x

x² + 3x = x + 3

Step 1: Subtract 'x' from both sides

x² + 3x - x = 3

x² + 2x = 3

Step 2: Divide the coefficeint of x by 2 and square the result

2 ÷ 2 = 1

1² = 1

Step 3: Now add 1 to both the sides

x² + 2x + 1  = 3 + 1

x² + 2x + 1 = 4

The LHS of the equation is in the form a² + 2ab + b² = (a +b)²

(x + 1)² = 2²

Take square root,

x + 1 = ± 2

x + 1 = 2      ;x + 1 = -2

     x = 2 - 1 ;     x  = - 2-1

      x = 1     ;     x = -3

Solution: x = 1,-3

Answer:

100

1800

900

1600

Step-by-step explanation:

Easy way to solve :

remove the 0's eg

20*90 -> 2*9 = 18

then add the 0's back on

1800

Answer:

See below ↓↓↓↓

Step-by-step explanation:

Answer:

(3,4)

Step-by-step explanation:

If is reflected around the x-axis, then the x-coordinate stays the same. Since -4 is still 4 away from the x-axis, we can count 4 untis up to get (3,4).

8cm

First we need to look at the side opposite to the missing side

which it is 12cm

now we can see that on the missing side 4cm is right below it

so we do

12cm-4cm

this gives you

8cm

a) 12-4=8

b) 5+4+4+12+9=34

The perimeter is 34cm and the missing length is 8cm.

Or it could be 38 since this unknown length was determined.

Answer:

1067

Step-by-step explanation:

[tex] \frac{36}{64} = \frac{600}{ m} [/tex]

m=total amount of marmots

cross multiplication-

36×M = 64×600

[tex] \frac{64 \times 600}{36} [/tex]

=1066.666667

=1067 marmots

Answer:

8

Step-by-step explanation:

the answer is 8 because the answer is 8

Answer:

Son -- 10

Dad -- 30

Step-by-step explanation:

5  years ago the dad was 15 years older than his son.15 / 3 = 5. The son was 5 five years ago he would be 10 now because 5 years ago he was 5. Since the son is 10 the dad must be 30. I know this because the dad is 20 years older than his son.

Answer: 13.312

Step-by-step explanation:

16 x 0.20 = 12.80

4% = 0.512

12.8 + 0.512 = 13.312

The Price of the shirt is now $13.312 .

Hope this helps answering your question !

Answer: 8

Step-by-step explanation:

4x8 gives you 32

Then you subtract:
32-24 =8

The computation shows that the values of Δy and dy will be 0.572 and 0.4 respectively.

The value of Δy will be computed thus:

Δy = y(x + Δx) - y(x)

= y(1.1) - y(1)

= 0.5(1.1)⁸ - 0.5(1)⁸

= 0.572

The value of dy will be:

= y'(x)dx

= (0.5)⁸ × x⁷(0.1)

= 0.4 (1)⁷

= 0.4

Learn more about finding values on:

https://brainly.com/question/25927269

Step-by-step explanation:

a parabolic graph is given by the equation ax^2 + bx + c

the axis of symmetry is equal to -b/(2a)

however it is worth noting that all parabolas have a y intercept since their domain is all real numbers.

make sure to inform me if you need further guidance.

The area of the company's logo is  135 square cm

Composite figures are figures that are made up of two or more shapes

The area of the given logo = Area of square + Area of 2 triangles

A = l² + bh

A = 9² + (9)(6)

A = 81 + 54

A = 135 square cm

Hence the area of the company's logo is  135 square cm

Learn more on composite shapes here: https://brainly.com/question/26642678

Answer:

44

Step-by-step explanation:

the formula for finding the perimeter of a rectangle is p=2(l+w)

Answer:

6

Step-by-step explanation:

The first option is correct because 0.14 represents that if a student is a 10th grader, there is a 14% chance he or she has a job.

It is a special type of frequency table that shows relationships between two categories.

From the given table it is clear that 0.14 is the probability of getting a job if a student is a 10th grader,

Option B is incorrect, stating there is a 14% chance a student is a 10th grader if he/she has had a job because we do not know the number of students.

Option C is also incorrect stating that 14% of the students surveyed are 10th graders who have a job because we do not know the total number of students.

Option D is also incorrect because we do not know the number of students.

Therefore, First option is correct because 0.14 represents that if a student is a 10th grader, there is a 14% chance he or she has a job.

To get more about conditional relative frequency, refer to the link,

brainly.com/question/22728236

Answer:

A. Given that a student is a 10th grader, there is a 14% chance he or she has a job.

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

7x3=21

6x4=24

21+24=45

Hope it helps.

Do comment if you have any query.

Answer:

A and C.

Step-by-step explanation:

Answer:

77/18 or 4 5/18

Step-by-step explanation:

Convert 2 1/3 and 1 5/6 into improper fractions then multiply:

7         11      77        5

--  x     --  =   --  = 4  --

3          6      18       18

Hopes this helps :)

The angles of the triangle can be found using angle on a straight line theorem, isosceles triangle theorem, sum of angles in a triangle, sum of angles in a quadrilateral, vertical angle theorem etc.

The sum of angles in a triangle is equals to 180 degrees. Therefore, let's find the angles in the triangle

2a = 180 - 58(base angles of isosceles triangle)

a = 122 / 2

a = 61°

b = 180 - (180 - 90 - 40) = 130° (angle on a striaght line)

c = 130° (Known angles)

d = 180 - 33 - 88 = 59°(sum of angles in a triangle)

e = 180 - 69 = 111° (external triangle theroem)

f = 86° (vertically opposite angles)

g = 83° (vertically opposite angles)

h = 180 - 36 = 144° (sum of angles on a straight line)

learn more on angles here:https://brainly.com/question/19663879

Answer: 7

Step-by-step explanation:

The absolute value of -7 is 7 because to find the absolute value you take away the sign.

Dilating the triangle ABC would create another triangle whose size is different from the triangle ABC

From the complete question, we have the following coordinates:

The dilation rule across the center P is:

(x, y) --> (1/3x – 1, 1/3y + 4)

So, the coordinates of the image of the triangle are:

A' =  (-1/3 * 4 – 1, 1/3 * 5 + 4)

A' =  (-7/3, 17/3)

B' =  (1/3 * 7 – 1, -1/3 * 7 + 4)

B' =  (4/3, 5/3)

C' =  (-1/3 * 2 – 1, 1/3 * 2 + 4)

C' =  (-5/3, 14/3)

From the above computation, the coordinates of the new triangle is:

A' =  (-7/3, 17/3)

B' =  (4/3, 5/3)

C' =  (-5/3, 14/3)

See attachment for the image of triangle ABC

Read more about dilation at:

https://brainly.com/question/16752437