Which inequality is represented by the graph below?

Answer:

Length = 9 units

Area = 135 square units

Area = Length x Breadth

135 = 9 x Breadth

Breadth = 15units

[tex]By \ pythagorean \ theorem\\\\Diagonal ^ 2= Length^2 + Breadth^2\\\\[/tex]

               [tex]= 9^2 + 15^2 \\= 81 + 225 \\=306[/tex]

[tex]Diagonal = \sqrt{306} = 17.49[/tex]

Diagonal = 17.5 units

Rounding to the nearest tenth of a unit, the length of the diagonal of the rectangle is approximately 17.5 units.

To find the length of the diagonal of a rectangle, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the length of the rectangle is given as 9 units, and we need to find the length of the diagonal.

Let's assume the width of the rectangle is 'w'.

We know that the area of a rectangle is given by the formula: length × width = area.

So, 9w = 135

Dividing both sides of the equation by 9, we get: w = 15.

Now, we have the length (9 units) and the width (15 units) of the rectangle.

Using the Pythagorean theorem, we can find the length of the diagonal (d):

d² = 9² + 15²

d² = 81 + 225

d² = 306

Taking the square root of both sides, we get:

d ≈ √306 ≈ 17.5

To learn more about the Pythagoras theorem;

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Answer:

  28. 480

  29. 40,320

Step-by-step explanation:

28. The number of possible choices is the product of the numbers of choices for each component:

  5×8×12 = 480 . . . . possible different systems

__

29. Regardless of where person A sits, the remaining B through I people can be seated in 8! = 40,320 different orders.

There are 40,320 possible seating arrangements.

Answer:

A.

Step-by-step explanation:

first solve the actual inequality leaving you with x<=5

then to graph it find 5 on the number line and it must be an open dot and a line pointing to less than 5.

Answer:

3/4.

Step-by-step explanation:

Convert both of the mixed numbers into improper fractions.

2 5/12 becomes 29/12, 1 8/12 becomes 20/12.

From there, subtract 20/12 from 29/12 and you get 9/12.

Simplify 9/12 to get 3/4.

Your answer is 3/4.

I hope this helped, have a nice day.

Answer:

48

Step-by-step explanation:

138-90(right angled triangle)=48

answer

three

explain hope this helps

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Answer:

  time 33

Step-by-step explanation:

The first customer arrives at time 3, and is finished being served at time 3+7 = 10.

The second customer arrives at time 6, so waits until time 10 to be served. The second customer is finished being served at time 10+9 = 19.

The third and fourth customers arrive at times 15 and 17. The third customer waits until time 19 to be served, and is finished being served at time 19+6 = 25.

The fourth customer waits until time 25 to be served, and is finished being served at time 25+8 = 33.

The fourth customer leaves at time 33.

Answer:

7 * 9 = 63

63 for when both of the triangles are combined, 31.5 for one triangle.

Rectangle = 18 * 22 = 396

396 + 63

459 cm^2

Answer:

x = -3

Step-by-step explanation:

7 + 2x/3 = 5

7*3 + 2x = 5*3 ( we multiply by 3 to remove the denominator )

21 + 2x = 15

2x = 15 - 21

2x = -6

x = -6/2

x = -3

Answer:

X=4

Step-by-step explanation:

Times both side by 3

then you get 7+2x=15

then minus 7 from both sides

2x=8

divide by 2

x=4

Answer:

[tex]P(B/C)=0.7[/tex]

Step-by-step explanation:

From the question we are told that:

The probability that Bob and Chris go to the movies [tex]P(BnC)= 0.35.[/tex]

The probability that Chris goes to the movies [tex]P(C)= 0.5[/tex]

Generally the equation for the probability that Bob goes to the movies given that Chris goes P(B/C) is mathematically given by

 [tex]P(B/C)=\frac{ P(BnC)}{P(C)}[/tex]

Therefore

 [tex]P(B/C)=\frac{0.35)}{0.5}[/tex]

 [tex]P(B/C)=0.7[/tex]

Answer:

39,48,000

Explanation:

please mark me brainliest

Answer:

15.2

Step-by-step explanation:

mean=average

to find the mean, add up all of the numbers and divide by the # of numbers that there are

4+5+6+12+12+12+14+16+22+23+28+28=182

182/12=15.2

Answer:

11.3 to 1DP.

Step-by-step explanation:

The mean = sum of the numbers / 12.

= 136/12

= 11.333

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Answer:

  59 cm

Step-by-step explanation:

The area is the product of length and width. Using the given numbers, we have ...

  A = LW

  4779 cm² = (81 cm)W

  W = (4779 cm²)/(81 cm) = 59 cm

The width of the window is 59 cm.

Answer:

234375

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

5/15 or 1/3

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

x = 10 × Sin ( 30 )

x = 10 × 1/2

x = 5

Answer:Polygon

Step-by-step explanation:

Answer:

11520 seconds

Step-by-step explanation:

3.2 x 60= 192 minutes

192 x 60= 11520 seconds

Answer:

Step-by-step explanation:

angle 2 and angle 3 are complementary angle because their sum is 90 degree as they are perpendicular.

Answer:

Cost of a coffee = $1.5

Cost of a muffin = $1.25

Step-by-step explanation:

Given:

Cost of 3 coffee and 2 muffins = $7

Cost of 2 coffee and 4 muffins = $8

Find:

Cost of each

Computation:

Assume;

Cost of a coffee = a

Cost of a muffin = b

So,

3a + 2b = 7 .......... Eq1

2a + 4b = 8 .......... Eq2

Eq1 x 2

6a + 4b = 14 ......... Eq3

From Eq3 - Eq2

4a = 6

a = 1.5

Cost of a coffee = $1.5

3a + 2b = 7

3(1.5) + 2b = 7

4.5 + 2b = 7

b = 2.5/2

b = 1.25

Cost of a muffin = $1.25

Answer:

me name is cameron

Step-by-step explanation:

Answer:

hello, i think the answer is-

A= (19)(14) = 266

Answer:

20,000

Step-by-step explanation:

3,654  rounds up to 4000

14,464 rounds down to 14,000

1,804 rounds up to 2000

4000 + 14000 + 2000 = 20,000

Answer:

[tex]sin(\theta) = \frac{\sqrt{17} }{7}[/tex]

Step-by-step explanation:

We know that:

sin(x)^2 + cos(x)^2 = 1

And we know that:

[tex]cos(\theta) = \frac{4\sqrt{2}}{7} }[/tex]

We want to find the value of the sine function evaluated in theta.

If we replace that in the first equation, we get:

[tex]sin(\theta)^2 + cos(\theta)^2 = 1[/tex]

[tex]sin(\theta)^2 + (\frac{4*\sqrt{2} }{7}) ^2 = 1[/tex]

[tex]sin(\theta)^2 + (\frac{4^2*\sqrt{2}^2 }{7^2}) = 1[/tex]

[tex]sin(\theta)^2 + (\frac{16*2 }{49}) = 1[/tex]

Now we can just isolate the sine part of that equation, so we get:

[tex]sin(\theta)^2 = - (\frac{16*2 }{49}) + 1 = \frac{-32}{49} + \frac{49}{49} = \frac{-32 + 49}{49} = \frac{17}{49}[/tex]

[tex]sin(\theta) = \sqrt{\frac{17}{49} } = \frac{\sqrt{17} }{\sqrt{49} } = \frac{\sqrt{17} }{7}[/tex]

(We can't simplify the fraction anymore)

Answer:

length : 8 m

width : 13/2 = 6.5 m

Step-by-step explanation:

area of rectangle = l(ength)×w(idth) = 52

l = 2w - 5

=> (2w - 5)×w = 52

=> 2w² -5w - 52 = 0

we know, when transforming this quadratic equation into a multiplication of two expressions of w, that we need to have 2w and w (to make 2w²), and then which 2 numbers multiply to 52 and add to -5 (when one is multiplied by 2 due to 2w) : -13 and 4

=> (2w - 13)×(w + 4) = 0

=> 2 solutions for w :

2w-13 = 0

2w = 13, w = 13/2

w+4 = 0, w = -4

negative values for a side length of a shape do not make sense, so the only usable solution is w = 13/2

=> l = 2w - 5 = 13 - 5 = 8

Step-by-step explanation:

75 cm/s

75/100 m/s

0.75 m/s

(SINCE 100 CM =1M-------75 CM=75/100M)