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3 years ago

(-8, -3) and (-3, 4) What’s the slope?

Mathematics

2 answers:

Flauer [41]3 years ago

7 0

7/5. Slope is rise over run. From -3 to 4, rise is 7. It goes 5 to the right from -8 to -3.

andrey2020 [161]3 years ago

5 0

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Find the measure of the central angle with an arc length equaling 29.21 and a circumference = 40.44

Dima020 [189]

measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44

Step-by-step explanation:

Arc length = 29.21

Circumference = 40.44

Central angle = ?

The formula used to find central angle is:

$s=r\theta$

where s = arc length, r= radius and Ф=central angle.

We need to find radius from circumference

$c=2\pi r\\r=\frac{c}{2\pi } \\Putting\,\,values:\\r=\frac{40.44}{2*3.14}\\r=6.43$

So, radius = 6.34

Now, finding central angle:

$s=r\theta\\29.21=6.34\,\,\theta\\\theta=\frac{29.21}{6.34}\\\theta=4.607\,\,radians$

So, measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44

Keywords: Central angle of circle

Learn more about Central angle of circle at:

#learnwithBrainly

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3 years ago

For what values of a and b is the line 3x y=b tangent to the curve y=ax3 when x=3?

Sav [38]

Hello : here is a solution

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3 years ago

Predicting the next item in a pattern is an example of inductive reasoning? True or false

makkiz [27]

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Step-by-step explanation:

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The equation of a line is y = 17x -6

julia-pushkina [17]

Answer:

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Step-by-step explanation:

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2 years ago

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Find the area of the region that lies inside the first curve and outside the second curve. r = 6 − 6 sin θ, r = 6

yan [13]

Each curve completes one loop over the interval $0\le t\le2\pi$ . Find the intersections of the curves within this interval.

$6-6\sin\theta=6\implies 1-\sin\theta=1\implies \sin\theta=0\implies \theta=0,\theta=\pi$

The region of interest has an area given by the double integral

$\displaystyle\int_\pi^{2\pi}\int_6^{6-6\sin\theta}r\,\mathrm dr\,\mathrm d\theta$

equivalent to the single integral

$\displaystyle\frac12\int_\pi^{2\pi}\bigg((6-6\sin\theta)^2-6^2\bigg)\,\mathrm d\theta$

which evaluates to $9\pi+72$ .

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3 years ago