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3 years ago

3. The length of a living room is 12 feet and its width is 10.5 feet. The length of the room is being

Mathematics

1 answer:

Liono4ka [1.6K]3 years ago

5 0

Since you're adding x feet to the length which is 12 feet:

New area: (12+x)10.5

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Which statements are true? (look at picture)

Makovka662 [10]

Answer:

D is true, E is true, F is true

Step-by-step explanation:

Hello,

n is an odd number it means that n = 2a+1 where a is integer

$n^2-1=(2a+1)^2-1=4a^2+4a+1-1=4a(a+1)$

this is not an odd number

$n(n-1)=(2a+1)2a$

this is not an odd number

$(n-1)^2=(2a+1-1)^2=4a^2$

this is not an odd number

$n^2+2=(2a+1)^2+2=4a^2+4a+1+2=4a^2+4a+3= 2(2a^2+2a+1)+1$

so this is an odd number

$n(n-2)=(2a+1)(2a-1)=4a^2-1=4a^2-2+1=2(2a^2-1)+1$

so this is an odd number

$(n-2)^2=(2a+1-2)^2=(2a-1)^2=4a^2-4a+1 = 2(2a^2-2a)+1$

this is an odd number

hope this helps

7 0

3 years ago

The two triangles are similar to each other. How long is the side labeled “?”

Mandarinka [93]

Answer:

Step-by-step explanation:

The smaller triangle seems to have dilated and formed the larger triangle. So, let's find the factor of increase.

9 / 3 = 3, so 3 is the factor of increase.

Now we need to do 4 x 3 = 12

So, ? = 12

Hope that helps!

-Sabrina

8 0

3 years ago

As part of a board game, players choose 5 unique symbols from 9 different symbols to create their secret password. How many diff

frozen [14]

Answer:

$15,120$

Step-by-step explanation:

For the first symbol, there are 9 options to choose from. Then 8, then 7, and so on. Since each player chooses 5 symbols, they will have a total of $9\cdot 8 \cdot 7 \cdot 6\cdot 5=\boxed{15,120}$ permutations possible. Since the order of which they choose them matters (as a different order would be a completely different password), it's unnecessary to divide by the number of ways you can rearrange 5 distinct symbols. Therefore, the desired answer is 15,120.