2 years ago

A thin silver disc of diameter 10 cm costs # 3 300. What is the cost per m²

Mathematics

1 answer:

Ahat [919]2 years ago

5 0

Answer:

The diameter is 10 cm. the radius is 5 cm. the area is πr² = π x 5² = 78.5 cm².

1 m² = 10,000 cm².

78.5/10,000 = 3,300/n n is the cost per square meter.

78.5n = 10,000 x 3300

n = 420,382.1656

The cost per square meter is $420,382.17.

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<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B2%7D%2Bx%5E2%20%7D%7Bx%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%20%7D" id="TexFormula

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$2{x}^{ \frac{3}{2} }$

Step-by-step explanation:

We want to simplify:

$\frac{ {x}^{2} + {x}^{2} }{ {x}^{ \frac{1}{2} } }$

We first simplify the numerator to obtain:

$\frac{ 2{x}^{2} }{ {x}^{ \frac{1}{2} } }$

Next the quotient rule:

$\frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n}$

We apply this quotient rule to get:

$\frac{ 2{x}^{2} }{ {x}^{ \frac{1}{2} } } = 2{x}^{2 - \frac{1}{2} }$

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A thin silver disc of diameter 10 cm costs # 3 300. What is the cost per m²​

A thin silver disc of diameter 10 cm costs # 3 300. What is the cost per m²