3 years ago

Find the length of f

Mathematics

1 answer:

JulijaS [17]3 years ago

3 0

The proportion is 1.75

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A circular oil slick is expanding at a rate of 3m/min. How fast is the area of the oil slick changing when the diameter is 48 me

olga55 [171]

Answer:

$48\pi \:m/min$

Step-by-step explanation:

Diameter = 48 m

Therefore radius r = 48/2 = 24 m

$Area \: of \: circular \: oil \: slick \\ A = \pi {r}^{2} \\ differentiating \: w \: r \: to \: t \: on \: \\ both \: sides \\ \\ \frac{dA}{dt} = \frac{d}{dt} (\pi {r}^{2} )\\ \\ \frac{dA}{dt} =\pi \frac{d}{dt} {r}^{2} \\ \\ \frac{dA}{dt} =\pi \times 2{r}\\ \\ \frac{dA}{dt} =2\pi {r} \\ \\ \bigg(\frac{dA}{dt} \bigg)_{r=24} =2\pi \times {24} \\ \\ \bigg(\frac{dA}{dt} \bigg)_{r=24} =48\pi \: m \: per \: min$

6 0

3 years ago

Which value of a would make the following expression completely factored? X^

ololo11 [35]

Answer:

A. 12

Step-by-step explanation:

Selecting B, C, or D would create a difference of perfect squares since each of these numbers are perfect squares. Additional factoring would then be needed.

$x^2-36 = (x+6)(x-6)\\x^2-49 = (x+7)(x-7)\\x^2-81=(x+9)(x-9)$