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Roman55 [17]
3 years ago
7

SALE

Mathematics
2 answers:
melamori03 [73]3 years ago
4 0

Answer:

$40

Step-by-step explanation:

32/(1-.2)=32/.80=40

kap26 [50]3 years ago
3 0

Answer: $6.40

Step-by-step explanation: im just way too big brained

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3 years ago
Hello I need help on this math question​
Agata [3.3K]

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Step-by-step explanation:

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2 years ago
Express the ratio 16:9 as a ratio to 1.
never [62]

Answer:

(16/9):1

Step-by-step explanation:

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3 years ago
If a = 5+2√6 then find a²-1÷a²
Umnica [9.8K]

Answer:

a²+1/a² = 7

Step-by-step explanation:

Given, a = (3+√5)/2

We have to find the value of a² + 1/a².

1/a = 1/((3+√5)/2) = 2/(3+√5)

By taking conjugate,

2/(3+√5) = 2/(3+√5) × (3-√5)/(3-√5)

= 2(3-√5) / (3+√5)(3-√5)

By using algebraic identity,

(a - b)(a + b) = a² - b²

(3+√5)(3-√5) = (3)² - (√5)²

= 9 - 5

= 4

2(3-√5) / (3+√5)(3-√5) = 2(3-√5) / 4

So, 1/a = (3-√5)/2

Now, a² = [(3+√5)/2]²

= (3+√5)²/4

By using algebraic identity,

(a + b)² = a² + 2ab + b²

(3+√5)² = (3)² + 2(3)(√5) + (√5)²

= 9 + 6√5 + 5

= 14 + 6√5

a² = (14+6√5)/4

= 2(7+3√5)/4

a² = (7+3√5)/2

Now, 1/a² = [(3-√5)/2]²

= (3-√5)²/4

By using algebraic identity,

(a - b)² = a² - 2ab + b²

(3-√5)² = (3)² - 2(3)(√5) + (√5)²

= 9 - 6√5 + 5

= 14 - 6√5

1/a² = (14-6√5)/4

1/a² = (7-3√5)/2

a²+1/a² = (7+3√5)/2 + (7-3√5)/2

= 7/2 + 3√5/2 + 7/2 - 3√5/2

= 7/2 + 7/2

= 7

Therefore, a²+1/a² = 7

5 0
2 years ago
How to rationalize the denominator?​
VMariaS [17]

Step-by-step explanation:

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Step 2: Make sure all radicals are simplified. ...

Step 3: Simplify the fraction if needed.

3 0
3 years ago
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