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Given:

Side of a square = x units

The side of square is decreased by 9 units.

To find:

The expression that represents the area of the new square in square units.

Solution:

It is given that, the side of a square is x units and it is decreased by 9 units. So, the side of new square is:

[tex]\text{New side length}=x-9[/tex]

The area of a square is:

[tex]Area=(side)^2[/tex]

So, the area of the new square is:

[tex]Area=(x-9)^2[/tex]

[tex]Area=(x)^2-2(x)(9)+(9)^2[/tex]          [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]

[tex]Area=x^2-18x+81[/tex]

Therefore, the expression for the area of the new square is either [tex](x-9)^2[/tex] or [tex]x^2-18x+81[/tex], both are equivalent.

Answer:

7

Step-by-step explanation:

If you divide 8y / 8  then you have to do the same thing to 56. When you do, y  = 7

Answer:

Step-by-step explanation:

I got it right on I-ready.

Hope this helps!

From: Aug1e

Answer:

√18 is irrational.

and if we put the value of π=22\7 then it is rational.otherwise we can say that4π\4 is also irrational.

Step-by-step explanation:

thank you ..

mark me as a brainlist.

Answer:

4.5 inches

Step-by-step explanation:

volume= 1/3 (base area) × height

47.25= 1/3 ( base area) × 7

20.25 = base area

now since the base is a square we can evaluate base area = length²

20.25= length²

length = 4.5 inches

Answer:

B

Step-by-step explanation:

x*3/7=42

divide 42 by 3/7: 42*7/3=98

x=98

Answer:

B) 98

Step-by-step explanation:

3/7 = 42/x

3x = 294

x = 98

Answer: [tex]162,520.588[/tex]

Step-by-step explanation:

Given

The function [tex]y=15,000(1.1)^x[/tex] models the cost of tuition fees after year 2000

In year 2025 that is 25 years after 2000, fees can be given as

[tex]\Rightarrow y=15,000(1.1)^{25}\\\Rightarrow y=15,000\times 10.834\\\Rightarrow y=162,520.588[/tex]

Thus, the fees in year 2025 is [tex]162,520.588[/tex].

Answer:

B and C

Step-by-step explanation:

they're the same butthe other one has 0 at the end which doesn't really change anything from .7

Answer:

answer is 70 km/h

OR,

19.44 m/s

Step-by-step explanation:

Answer:

Value of An if n is 17 = -834

Step-by-step explanation:

Given:

A100 = 245

d = 13

n = 17

Find:

Value of An if n = 17

Computation:

An = a + (n-1)d

A100 = a + (100-1)13

245 = a + (99)17

245 = a + 1,287

a = 245 - 1,287

a = -1,042

So,

Value of An if n = 17

An = a + (n-1)d

A17 = -1,042 + (17-1)(13)

A17 = -1,042 + (16)(13)

A17 = -1,042 + 208

A17 = -834

Value of An if n is 17 = -834

Answer:

this would cause the median price to go down by $5 as well.

Step-by-step explanation:

If every single backpack in the store is on sale, then this would cause the median price to go down by $5 as well. This is because the median price is the middle value in a data set. Therefore, if every backpack value drops by $5 then so does the backpack that has the middle value and is the median price of all the backpacks. This is the only actual effect that this sale will have to the median price of the backpacks.

Answer:

Heyo! the answer is A since their implying it's important :)

Answer:

4- Square root 14, 4+ square root 14

SEE  THE IMAGE BELOW:)

Step-by-step explanation:

You can use the app photo math, you just take a picture of the problem and it will give you the answers and explain the steps:)

Answer:

- 3 and 12

Step-by-step explanation:

let n be the number , then

n² - 9n = 36 ( subtract 36 from both sides )

n² - 9n - 36 = 0

Consider the factors of the constant term (- 36) which sum to give the coefficient of the n- term (- 9)

The factors are - 12 and + 3 , since

- 12 × 3 = - 36 and - 12 + 3 = - 9 , then

(n - 12)(n + 3) = 0

Equate each factor to zero and solve for n

n - 12 = 0 ⇒ n = 12

n + 3 = 0 ⇒ n = - 3

The 2 numbers are - 3 and 12

From the question given above, the following data were obtained:

Cos θ = 12/13

Sine θ =?

Next, we shall determine the opposite. This can be obtained as follow:

[tex]Cos \theta = \frac{Adjacent}{Hypothenus}\\\\Cos \theta = \frac{12}{13}[/tex]

Adjacent = 12

Hypothenus = 13

Hypothenus² = Opposite² + Adjacent²

13² = Opposite² + 12²

169 = Opposite² + 144

Collect like terms

169 – 144 = Opposite²

25 = Opposite²

Take the square root of both side

Opposite = √25

Finally, we shall determine the Sine θ. This can be obtained as follow:

Opposite = 5

Hypothenus = 13

[tex]Sine\theta = \frac{Opposite}{Hypothenus}\\\\Sine\theta = \frac{5}{13}[/tex]

Therefore, the value of Sine θ is 5/13

Learn more: https://brainly.com/question/23699928

Answer:

D. 5/13

Step-by-step explanation:

Answer:

[tex]x = 21 \sin(38 \degree) \\ x = 12.93[/tex]

The more accurate value is roughly x = 16.5482258257411

=====================================================

Work Shown:

cos(angle) = adjacent/hypotenuse

cos(38) = x/21

21*cos(38) = x

x = 21*cos(38)

x = 16.5482258257411 which is approximate

x = 17

I'm rounding to the nearest whole number since the other side (21) is a whole number. If your teacher instructs you to round otherwise, then follow those instructions of course. Make sure your calculator is in degree mode.

Answer:

25

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

7^2=49

24^2=576

576+49=625

Sqrt 625=25

Answer:

5.7

Step-by-step explanation:

Actual length of the mouse = average length of the head and body of a mouse + average length of the tail

2.9 + 2.8 = 5.7

Answer:

Is B

Step-by-step explanation:

Answer:

6+0.2+0.07

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

6/8

Step-by-step explanation:

or to simplify it, it would be 3/4

The probability that the spinner will land on green is 6 out of 8 or 75%.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

Number of equal sections on the spinner = 8

Number of sections which are green = 6

Probability can be calculated as the ratio of number of desired outcomes to the total number of outcomes.

Here,

Desired outcome is the spinner landing on green.

Probability = 6/8 = 0.75 = 75%

Hence the probability is 6 out of 8 or 75%.

Learn more about Probability here :

https://brainly.com/question/29027275

#SPJ3

Answer:

0.0082

Step-by-step explanation:

Answer:

A) 20%

Step-by-step explanation:

The total votes are:

40 + 70 + 60 + 90 = 260

Rebecca has the highest percent of votes which is 90 votes. To find the %:

90/260 ≈ 34.62%

Amy has the lowest percent of votes which is 40 votes.

40/260 ≈ 15.38%

Finding the difference:

34.62 - 15.38

19.24

So, it's around 20%

Answer:

13 blocks per hour

Step-by-step explanation:

52/4=13

hope this is helpful

Answer:

13 blocks per hour

Step-by-step explanation:

52/4 = 13

He was walking really slow apparently

Answer:

[tex]\angle A = 32 \deg[/tex]

[tex]\angle B = 105 \deg[/tex]

[tex]\angle C = 94 \deg[/tex]

[tex]\angle D = 138 \deg[/tex]

Answer:

yes it has a right angle

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

2/3 x 60 = 40

1/12 x 60 = 5

60 - 40 - 5 = 15