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2 years ago

Divide using a common factor of 2 to find an equivalent fraction for 2/6

Mathematics

1 answer:

VashaNatasha [74]2 years ago

4 0

Answer:

Answer C

Step-by-step explanation:

Sorry If it's wrong or not.

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) The density of oil in a circular oil slick on the surface of the ocean at a distance of r meters from the center of the slick

Feliz [49]

Answer:

Therefore the mass of the of the oil is 409.59 kg.

Step-by-step explanation:

Let us consider a circular disk. The inner radius of the disk be r and the outer diameter of the disk be (r+Δr).

The area of the disk

=The area of the outer circle - The area of the inner circle

= $\pi (r+\triangle r)^2- \pi r^2$

$=\pi [r^2+2r\triangle r+(\triangle r)^2-r^2]$

$=\pi [2r\triangle r+(\triangle r)^2]$

Since (Δr)² is very small, So it is ignorable.

∴ $A=2\pi r\triangle r$

The density $\delta (r)= \frac{40}{1+r^2}$

We know,

Mass= Area× density

$=(2r \pi \triangle r)(\frac{40}{1+r^2}})$

Total mass $M=\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i$

Therefore

$\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i=\int_0^5 \frac{80r\pi }{1+r^2}dr$

$=40\pi[ln(1+r^2)]_0^5$

$=40\pi [ln(1+5^2)-ln(1+0^2)]$

$=40\pi ln(26)$

= 409.59 kg (approx)

Therefore the mass of the of the oil is 409.59 kg.

3 0

2 years ago

Write two expressions with a gcf of 8xy

ipn [44]

32x^2y
8xy^6
hope i helped

8 0

3 years ago

How many solutions does the equation have?<br> -4x - 9 = 12 - 4x

pickupchik [31]

Answer:

No Solution

Step-by-step explanation:

-4x - 9 = 12 - 4x

You add 4x on both sides

-9 ≠ 12

No Solution

4 0

2 years ago

Please answer

sergeinik [125]

I gotchu! there is no association shown between the two in this sample because the given information only shows the correlation between fur color and environmental and NOT gender.
hope you do amazing have a wonderful night

8 0

3 years ago

Help please!!! will make brainiest

dangina [55]

Answer:

32.4

Step-by-step explanation:

14 3/5 = 14.6

14.6*6=87.6

120-87.6=32.4

8 0

3 years ago