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2 years ago

Question 1 help!? Asap

Mathematics

1 answer:

Paha777 [63]2 years ago

7 0

Hi!

If the perimeter of the triangle is 41, then x is:

5x + 2 + 6x - 3 + 3x = 41

5x + 6x + 3x = 41 + 3 - 2

14x = 42

x = 42/14

x = 3

The x is 3.

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How do you write 199.4% as a decimal?

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Answer:

1.994

Step-by-step explanation:

"Percent" means "per 100" or "over 100". To convert 199.4% to a decimal rewrite 199.4 percent in terms of per 100 or over 100.

199.4% = 199.4 over 100 or,

199.4%=199.4100

199.4 over 100 is the same as 199.4 divided by 100. Completing the division we get:

199.4 ÷ 100 = 1.994

Therefore, we have shown that

199.4% = 1.994

Simplified Conversion:

Remove the percent sign % and divide by 100.

199.4 ÷ 100 = 1.994

Shortcut Conversion:

Move the decimal point 2 places to the left and remove the percent sign %

199.4% becomes 1.994

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Answer:

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Taking $8y^{4}$ common:

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Using factorization method:

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Now, Making factors of $2y^{4} + 40y^{3} + 200y^{2}$

Taking $2y^{2}$ common:

$\Rightarrow 2y^{2} (y^{2}+ 20y+ 100)$

Using factorization method:

$\Rightarrow 2y^{2} (y^{2}+ 10y+ 10y+ 100)\\\Rightarrow 2y^{2} (y (y+ 10) + 10(y + 10))\\\Rightarrow \underline {2y^{2} (y+ 10)}(y + 10) ............ (2)$

The underlined parts show the Highest Common Factor(HCF).

i.e. HCF is $2y^{2} (y+ 10)$ .

We know the relation between LCM, HCF of the two numbers 'p' , 'q' and the numbers themselves as:

$HCF \times LCM = p \times q$

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Hence, LCM = $8y^{4}(y+ 10)^{2}(y + 8)$

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