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2 years ago

Which expression is equivalent to 2 - 35

Mathematics

1 answer:

rusak2 [61]2 years ago

5 0

Answer: 2+(-35)

Step-by-step explanation:

When finding which equation is equivalent to the one you have. It's best to find what your equation's answer is.

2-35 equals -33

So we need to find the other equation that equals the same, for that's "equivalent". When you're trying to add a positive and a negative together, you're actually subtracting them because of the negative. In which your answer would end up as a negative, and if the negative is the greater number, you subtract it that way. Sometimes it's good to use a number line so you don't mess up if you're gonna go that way.

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2 years ago

Read 2 more answers

) 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

The surface area of a triangular pyramid is 1836 ft2.

Archy [21]

A triangular pyramid has 4 triangular faces. If all 4 have the same area, then one of them has area 1/4 of the surface area, 1836. That gives 459 sq ft as the area of one of the triangular faces.

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3 years ago