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3 years ago

Are angles 1 and 2 a linear pair? Yes or no.

Mathematics

1 answer:

Lisa [10]3 years ago

6 0

No because it doesn’t add up to 180°

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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

PLEASE FAST ANSWER THIS AND DONT MIND MY WORK PLEASE!!!

Amiraneli [1.4K]

66 for the first and 36 for the other one

7 0

3 years ago

What is the length of the major axis of the conic section shown below?

sveticcg [70]

$\dfrac{(x-2)^2}{49}+\dfrac{(y+5)^2}{36}=1$

The equation of a elipse:

$\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1$

The length of the major axis is equal 2a if a > b or 2b if b > a.

We have

$a^2=49\to a=\sqrt{49}=7\\\\b^2=36\to b=\sqrt{36}=6\\\\a > b$

therefore the length of the major axis is equal 2 · 7 = 14.

7 0

3 years ago

(Please help!) Divide: (4x² +33x+37) = (x+7) Quotient: Remainder:

Drupady [299]

Answer:

Step-by-step explanation:

4x² + 33 x + 37 = (4 x + 5) × (x + 7) + 2

5 0

3 years ago

Which statements about special quadrilaterals are true? Select all that apply.

svetlana [45]

Answer:

A and C

Step-by-step explanation:

I just answered the question.

7 0

3 years ago

Read 2 more answers