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Serga [27]
3 years ago
5

Simplify the expression

Mathematics
2 answers:
Over [174]3 years ago
7 0
Its either 4 or 3.5 depending on how you want it simplified
GREYUIT [131]3 years ago
4 0
√12
= √4 * <span>√3
= 2</span><span>√3
------------------</span>
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Find the length of the bold arc. Round to the nearest tenth and use 3.14 or the pi button on your calculator for pi.
Elanso [62]

Answer:

8π yards

Step-by-step explanation:

A circle subtends a total angle of 360 ° from its center.The length of an arc is directly proportional to the angle it subtends from the circle's center. The arc's length can therefore be calculated as:

C=πd=2πr

Where C is circumference, d is diameter and r is radius. Given r as 16 yards then the arc length which is equivalent to circumference is given as

C=\frac {90}{360}*2*\pi*16=8\pi

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To feed them to the animals

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Find a positive angle less than one revolution around the unit circle that is co-terminal with the given angle: 2012°.
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Divide 2012 by 360:  5.588888....

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3 years ago
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2 years ago
Find the equation of the tangent line. y=(x^2+x-2)^2 at (-1,4)​
Keith_Richards [23]

Compute the derivative of <em>y</em> = (<em>x</em>² + <em>x</em> - 2)² using the chain rule:

d<em>y</em>/d<em>x</em> = 2 (<em>x</em>² + <em>x</em> - 2) d/d<em>x</em> [<em>x</em>² + <em>x</em> - 2]

d<em>y</em>/d<em>x</em> = 2 (<em>x</em>² + <em>x</em> - 2) (2<em>x</em> + 1)

Evaluate the derivative at <em>x</em> = -1 :

d<em>y</em>/d<em>x</em> (-1) = 2 ((-1)² + (-1) - 2) (2 (-1) + 1) = 4

This is the slope of the tangent line to the function at (-1, 4).

Use the point-slope formula to get the equation for the tangent line:

<em>y</em> - 4 = 4 (<em>x</em> - (-1))   →   <em>y</em> = 4<em>x</em> + 8

6 0
2 years ago
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