2 years ago

The equation of a line is y=4x+3/2, what is the slope of a line that is perpendicular to this line?

Mathematics

1 answer:

Elenna [48]2 years ago

5 0

Answer:

y=1/4x+3/2

Step-by-step explanation:

A perpendicular line will be the reciprocal, or opposite, of itself. So if you have 4, which is actually 4/1, it becomes 1/4.

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What is the area of a sector with a central angle of 108 degrees and a diameter of 21.2 cm?

Rasek [7]

Answer:

$105.84\ cm^2$

Step-by-step explanation:

step 1

Find the area of the circle

The area of the circle is

$A=\pi r^{2}$

we have

$r=21.2/2=10.6\ cm$ ----> the radius is half the diameter

substitute

$A=\pi (10.6)^{2}$

$A=112.36\pi\ cm^2$

step 2

Find the area of a sector

Remember that

The area of the circle subtends a central angle of 360 degrees

using proportion

Find out the area of a sector with a central angle of 108 degrees

$\frac{112.36\pi}{360^o}=\frac{x}{108^o}\\\\x=112.36\pi(108)/360\\\\x=33.708\pi\ cm^2$

assume

$\pi=3.14$

substitute

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