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stiv31 [10]
3 years ago
7

What is the square root of 29 rounded to the nearest 10?

Mathematics
1 answer:
nydimaria [60]3 years ago
7 0
5.40. It would be 5.38 but you round up to 5.40
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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
Carly solved a quadratic equation by completing the square, but her work has errors. Identify the first error in Carly's work.
Savatey [412]

Answer:

Her first error was adding the wrong number to both sides. Instead of 4², it should be 2²

Step-by-step explanation:

When completing the square, the number that needs to be added to both sides is (b/2)²

In this problem, b is 4. So, Carly should have added 2² to both sides, but she added 4² instead.

So, her first error was adding 4² to both sides instead of 2²

8 0
3 years ago
Look at attachment down below. If can’t see let me know
Vesnalui [34]

Answer:

C and E

Step-by-step explanation:

C and E are the correct answer

4 0
3 years ago
A trapezoid has base lengths of 2.5 inches and 10 inches and an altitude of 8 inches. What is the area of the trapezoid?
lisov135 [29]
A= 50. 2.5+10= 12.5/2= 6.25x8= 50
5 0
3 years ago
Read 2 more answers
HELP ME OUT PLS!!!!!​
pantera1 [17]

The Answer Is C. 64, hope I helped

4 0
2 years ago
Read 2 more answers
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