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3 years ago

Giving brainiest, thank you, and followfind the missing side length, m.

Mathematics

2 answers:

Rus_ich [418]3 years ago

6 0

Answer is 5
brainliest?

Gelneren [198K]3 years ago

5 0

Answer: m = √44 = 6.6 units

Step-by-step explanation:

Since this a right triangle and we have the side measurements of the hypotenuse and a side we can use the Pythagorean theorem to find the measurement of the other side

Let the missing side, m, equal b

c^2=a^2+b^2

12^2=10^2+b^2

10^2+b^2=12^2

10^2+b^2-10^2=12^2-10^2

b^2=44

b=√44, b=-√44

Angle measurements cannot be negative, therefore side m = √44 = 6.6 units

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3 years ago

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Shaq painted 600 portraits in 8 hours at that rate how many portraits would he paint in 4 minutes?

Deffense [45]

Answer: In 4 minutes he will make 5 portraits

Step-by-step explanation:

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3 years ago

Polynomial expressions with matching

yuradex [85]

Answer:

The difference of 27x³ and 8y³ → [3x - 2y][9x² + 6xy + 4y²]

The difference of 27x³ and 64y³ → [3x - 4y][9x² + 12xy + 16y²]

The sum of 27x³ and 64y³ → [3x + 4y][9x² - 12xy + 16y²]

The sum of 27x³ and 8y³ → [3x + 2y][9x² - 6xy + 4y²]

Step-by-step explanation:

For the first two, we use the Difference of Cubes [(a³ - b³)(a² + 2ab + b²)] first by taking the cube root of the given expression to get our first factor[s]:

$\displaystyle 3x - 2y = \sqrt[3]{27x^3 - 8y^3} \\ 3x - 4y = \sqrt[3]{27x^3 - 64y^3}$

Then, use the acronym of SOAP {whether the next operations symbols will be negative or positive [SAME (your cube-rooted factor has an IDENTICAL OPERATION SYMBOL as your given expression), OPPOSITE (the first sign in your second factor in the second set of parentheses will be the opposite of what the sign in your given expression, which will be a plus sign), ALWAYS POSITIVE (the last sign in your second factor in the second set of parentheses will ALWAYS stay positive NO MATTER WHAT)]} to get the second factor:

Given: 27x³ - 64y³

[3x - 4y][9x² + 12xy + 16y²]

↑ ↑ ↑

same as opposite ALWAYS POSITIVE

given of given

Given: 27x³ - 8y³

[3x - 2y][9x² + 6xy + 4y²]

↑ ↑ ↘

same as opposite ALWAYS POSITIVE

given of given

Now, for the last two, we use the Sum of Cubes [(a³ + b³)(a² - 2ab + b²)] first by taking the cube root of the given expression to get our first factor[s]:

$\displaystyle 3x + 2y = \sqrt[3]{27x^3 + 8y^3} \\ 3x + 4y = \sqrt[3]{27x^3 + 64y^3}$

Then, use the acronym of SOAP {whether the next operations symbols will be negative or positive [SAME (your cube-rooted factor has an IDENTICAL OPERATION SYMBOL as your given expression), OPPOSITE (the first sign in your second factor in the second set of parentheses will be the opposite of what the sign is in your given expression, which will be a minus sign), ALWAYS POSITIVE (the last sign in your second factor in the second set of parentheses will ALWAYS stay positive NO MATTER WHAT)]} to get the second factor:

Given: 27x³ + 64y³

[3x + 4y][9x² - 12xy + 16y²]

↑ ↑ ↘

same as opposite ALWAYS POSITIVE

given of given

Given: 27x³ + 8y³

[3x + 2y][9x² - 6xy + 4y²]

↑ ↑ ↘

same as opposite ALWAYS POSITIVE

given of given

I am delighted to assist you anytime!

* As you can see, when using the Difference\Sum of Cubes, SOAP can vary depending on how an expression is given to you. They resemble each other though.

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3 years ago

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hram777 [196]

Answer:

I am pretty sure it is the 3rd one

(In geometry, an isosceles triangle is a triangle that has two sides of equal length. And i think 3 of them are an isosceles triangle)

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Please find the area

DENIUS [597]

Answer: 55

Explanation:
Find the area of the entire shape: 7x9=63
Find the area of the missing piece: 8
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Find the area: 63-8=55

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3 years ago

Giving brainiest, thank you, and followfind the missing side length, m.​

Giving brainiest, thank you, and followfind the missing side length, m.