What is the factored form of n^2 – 25?

Hi

Just replace the unknown number by x

so we have

38+x=180

Subtract 38 from both sides

x+38-38=180-38

x=142

I hope that's help:0

ABCD area =

AB = 4√2

AX= 3 ft = Height

then Area is

AREA= AB• AD • Sin 30°

THEN ANSWER IS

AREA= 4√2• 3 = 12√2 ft2

. = 17 square foots

You would need to buy at least 3 packages of buns to match the 4 packages of patties.

How many packages of buns do we need to buy?

To solve this problem, we need to find the least common multiple (LCM) of the number of patties and the number of buns per package. This LCM will ensure that we have an equal number of patties and buns without any leftovers.

Given that there are 6 patties per package and 8 buns per package, we can find the LCM of 6 and 8.

The prime factorization of 6 is 2 x 3, and the prime factorization of 8 is 2 x 2 x 2. To find the LCM, we take the highest power of each prime factor that appears in either number: 2³ x 3 = 24.

So, we need 24 patties and 24 buns to have an equal number of both without any leftovers. Since each package contains 6 patties and each package contains 8 buns, we can divide the total number of patties and buns needed by the number in each package: 24 / 6 = 4 packages of patties and 24 / 8 = 3 packages of buns.

Therefore, you would need to buy at least 3 packages of buns to match the 4 packages of patties and ensure that you have exactly one patty for each bun.

Read more about buns here: brainly.com/question/148081

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Answer:

To determine if 90209 is a perfect square, let's use the long division method:

First, find the closest perfect square below 90209, which is 300^2 = 90000.

Subtract 90000 from 90209, which gives us a remainder of 209.

Since we have a remainder after division, 90209 is not a perfect square.

The remainder obtained through long division is 209.

Final Answer:

90209 is a perfect square, and its square root using the long division method is 301.

Explanation:

To determine if 90209 is a perfect square, we can use the long division method to find its square root.

Step 1: Start by grouping the digits in pairs from right to left: 90, 20, and 9.

Step 2: Find the largest number whose square is less than or equal to 90. In this case, it's 9, as = 81. Write 9 as the first digit of the square root.

Step 3: Subtract 81 from 90, leaving 9 as the remainder.

Step 4: Bring down the next pair of digits, which is 20, and append them to the remainder, making it 920.

Step 5: Find the largest number whose square is less than or equal to 920. It's 30, as = 900. Write 30 as the next digit of the square root.

Step 6: Subtract 900 from 920, leaving 20 as the remainder.

Step 7: Bring down the last pair of digits, which is 09, and append them to the remainder, making it 2009.

Step 8: Find the largest number whose square is less than or equal to 2009. It's 1, as = 1. Write 1 as the final digit of the square root.

Now, we have the square root of 90209 as 301, and since we were able to divide it into perfect square factors without any remainder, we can conclude that 90209 is indeed a perfect square.

Learn more about perfect square

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