For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
13
8
х

Answer:

Proved

Step-by-step explanation:

From the given parameters, we have:

[tex]n = 9[/tex] i.e. the length of each security numbers

[tex]r = 2[/tex] i.e. 2 security numbers

Required

In 513 security numbers, 2 must have matching zeros

To do this, we make use of Pigeonhole principle.

First, we calculate the number of all security numbers not having matching zeros.

Each of the 9 digits can be selected in 2 ways.

2 ways implies that each digit is either 0 or not

So, total selection is:

[tex]Total = 2^9[/tex]

[tex]Total = 512[/tex]

Apply Pigeonhole principle

The principle states that: suppose there are n items in m containers, where [tex]n>m[/tex], then there is at least one container that contains more than 1 item.

This means that if there are 512 security number without matching zeros, then there is 1 (i.e. 512 + 1) with matching zeros.

[tex]512 + 1 = 513[/tex]

Answer:

35

Step-by-step explanation:

[tex]\frac{9}{y} =\frac{36}{100}[/tex]

y × 36 = 9 × 100

36y = 900

36y ÷ 36 = 900 ÷ 36

y = 35

Answer:

25

Step-by-step explanation:

36%     9        

--------------       (36% over 100% and 9 over x)

100%    x

Cross multiply: 36% times x and 100% times 9

36% times x=36x

100% times 9=900

Divide: 900 divided by 36=25

25 is your answer

Hope this helped!

Bella was here :)

Answer:

= − 2 /9

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

11 - 1/3x = 5

Subtract 11 from both sides

-1/3x = -6

Multiply both sides by -3

x = 18

3(y-2)=18

3y-6=18

3y=24

y=8

HOPE THIS HELPS AND YOU GOT GOOD GRADES

Answer:

blank 1= 6

blank 2=6

Step-by-step explanation:

y=2

3y=6

6/3=2

hope that helps

have a great day/night

Answer:

550 students are in the school.

Step-by-step explanation:

The way I found my answer was by first turning 74% into a decimal, which is 0.74.  Then I divided 407 by 0.74 and I got 550.  Therefore, 550 is our answer.

Answer:

9

Step-by-step explanation:

90/10 =9

Answer:

[tex](3 \times 30) - (3 \times p)[/tex]

Answer B is correct

Step-by-step explanation:

[tex]3(30 - p) \\ (3 \times 30) - (3 \times p)[/tex]

can I have the brainliest please?

Answer:

B

Step-by-step explanation:

B is correct.  According to the distributive property of multiplication, we have 3(30 - p)  =  3·30 - 3·p

Step-by-step explanation:

I think the answer is 3 pieces so Kelly had 3 pieces of Apple hope it helps.

Answer:

x = (9√2)/2

Step-by-step explanation:

Reference angle = 45°

Hypotenuse length = 9

Adjacent length = x

Apply the trigonometric ratio CAH:

Cos 45° = Adj/Hyp

Cos 45° = x/9

Multiply both sides by 9

9*Cos 45 = x

9*1/√2 = x (cos 45 = 1/√2)

9/√2 = x

Rationalize

(9*√2)/2 = x

x = (9√2)/2

Answer:

4

Step-by-step explanation:

If you add up all of those, you get 24. Then you divide by 6. 24/6 = 4.

Answer:

The sample may be a representative of the future of the future subjects, but the test results and confidence interval are suspect  because it is not a random sample

Step-by-step explanation:

When the subjects used for a research are not a random sample but friends whom share similar qualities/quantities related to the purpose of the experiment. The sample may be a representative of the future subjects, but the test results and confidence interval will not be reliable enough to be accepted as standard simply  because it was not a random sample

Hence the comment :The sample may be a representative of the future of the future subjects, but the test results and confidence interval are suspect  because it is not a random sample

Answer:

Option B.

Step-by-step explanation:

We have the equation:

x^2 + 6*x - 2 = 0

Remember that:

(a*x + b)^2 = (a*x)^2 + 2*a*b*x + b^2

Because the term with x^2 has a coefficient equal to 1, then a = 1.

(x + b)^2 = x^2 + 2*b*x + b^2

The ter with x is: 6*x

then:

2*b*x = 6*X

2*b = 6

b = 6/2 = 3

we have:

(x + 3)^2 = x^2 + 6*x + 9

Now, our equation is:

x^2 + 6*x - 2 = 0

Now we can add the term (11 - 11) = 0

x^2 + 6*x - 2 + (11 - 11) = 0

x^2 + 6*x - 2 + 11 - 11 = 0

x^2 + 6*x + (11 - 2) - 11 = 0

x^2 + 6*x + 9 - 11 = 0

And we know that:

x^2 + 6*x + 9  = (x + 3)^2

Then we can rewrite our equation as:

(x + 3)^2 - 11 = 0

Then the correct option is B.

The equation that matches our result is option B. (x+3)² - 11. Therefore, rewriting x² + 6x - 2 = 0 by completing the square gives us (x+3)² - 11 = 0.

To rewrite the equation x² + 6x - 2 = 0 by completing the square, we need to follow these steps:

Move the constant term (-2) to the other side of the equation:

x² + 6x = 2

Take half of the coefficient of x (which is 6) and square it. Add the result to both sides of the equation:

x² + 6x + (6/2)² = 2 + (6/2)²

x² + 6x + 9 = 2 + 9

x² + 6x + 9 = 11

Now, let's look at the answer choices:

A. (x+3)² = 18

B. (x+3)² - 11

C. (x+3)² - 2

D. (x+3)² - 9

Among the answer choices, the equation that matches our result is option B. (x+3)² - 11. Therefore, rewriting x² + 6x - 2 = 0 by completing the square gives us (x+3)² - 11 = 0.

To know more about equation:

https://brainly.com/question/29657983

#SPJ6

Answer:

14.53 is less than 16.3, that is the answer

Answer:

14.53 is less than 16.3

yes this is mathematics

Answer:

Step-by-step explanation:

GCF - List out the prime factors that are common to both numbers

2³ * 3²

2³ * 3⁴

GCF = 2³ * 3² = 8 *9 = 72

Answer:

C

Step-by-step explanation:

Answer:

B. The longer a skydiver is in freefall, the more feet they fall per second

Step-by-step explanation:

Answer:

yeah the links are anoying

Step-by-step explanation:

the answer is C

mark brainliest or add heart and 5 stars or both

Answer:

The answer is 220 cm^2

Step-by-step explanation:

Formula of a rectangular prism: 2 (lw + lh + wh)

2 (lw + lh + wh)

2 (10 x 4 + 10 x 5 + 4 x 5)

2 (40 + 50 + 20)

2 (110)

= 220 cm^2

Answer:

$1150 per month

Step-by-step explanation:

13800/ 12

Step-by-step explanation:

Lets take Vald spends $100 on the book fair which are all the money he had.

Pamela Spends 2/3 as much as Vald

Pamela Spends 2/3 x 100 = $66.67

Eli Spends 4/3 as much as Vald

Eli spends 4/3 x 100 = $133.33

From here, we can see Eli Spends the most and Pamela Spends the least.

Answer:

text or video calls

Step-by-step explanation:

Answer: Employers value employees who can communicate effectively;

Step-by-step explanation: it means they are able to listen to others, as well as successfully relay their own ideas and opinions.

Answer:

the answer is 20+6h=15+8h

Answer:

25 cups and 3/5 of a cup

Step-by-step explanation:

Bro trust me

Answer:

25

Step-by-step explanation:

32÷1.25=25.6

I hope this helps ^-^

Answer:

A) 12.24

Step-by-step explanation:

Mean absolute deviation: 65, 90, 85, 70, 70, 95, 55 = 12.244897959184

Answer:

75.7

Step-by-step explanation:

9514 1404 393

Answer:

  8

Step-by-step explanation:

The product of segment lengths to the near and far circle intersection points is the same for both "secants". AD is a tangent, so the two intersection points are the same point. This gives ...

  AD² = AB·AC

  144 = AB(AB +10)

We can add 25 to complete the square.

  169 = (AB +5)² . . . write as a square

  13 = AB +5 . . . . . . positive square root

  8 = AB . . . . . . . . . .subtract 5

Answer:

A. 60, B. 120.

Answer:

C

-16(0.5x-0.75y+2)

Step-by-step explanation:

I got it right on edge 2022 Hope it helps <3

Answer:

5 m ........... . . ...........