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1 year ago

Select the correct name in the table.

Mathematics

1 answer:

Hoochie [10]1 year ago

8 0

Answer:

Hector

Step-by-step explanation:

The are parallel because they go in the same directions and they are line segments because technically a true line is infinitely long.

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How much paper will be needed to cover the cylinder shown?

Advocard [28]

A=2πrh+2πr2=2·π·6·25+2·π·6^2 so the answer is D

5 0

2 years ago

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Determine the slope and y-intercept of the graph:<br> 2x + 5y = 10

FinnZ [79.3K]

Slope is -2/5 and y-intercept is 2

Step-by-step explanation:

Step 1: Write the equation in slope-intercept form y = mx + b

2x + 5y = 10

5y = -2x + 10

y = -2/5 x + 10/5

y = -2/5 x + 2

Step 2: Find the slope and y-intercept from the equation.

Slope, m = -2/5

y-intercept, b = 2

6 0

3 years ago

) 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

Quadratic equations of the form _____ can be solved using square roots

icang [17]

Answer:

Step-by-step explanation:

Quadratic equations of the form (x - h)^2 + k = 0 can be solved using square roots: Take the square root of both sides, prefacing the right side with " ± "

6 0

2 years ago

20 Points!

lianna [129]

The answer is (3,5)

3 0

2 years ago

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