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Musya8 [376]
3 years ago
10

What is the GCF of 8xy, 14x?

Mathematics
1 answer:
OlgaM077 [116]3 years ago
8 0
8xy can be split into 2*2*2*x*y
14x into 2*7*x
they both have a 2 and an x in them, so the answer is 2x
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Given the dartboard of diameter 20in, divided into 20 congruent sectors,

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The area of a circle is given by the formula

A=\pi r^2

A sector of a circle is a fraction of a circle. The fraction is given by \frac{\theta}{360^\circ}. Where \theta is the angle subtended by the sector at the center of the circle.

The formula for computing the area of a sector, given the angle at the center is

A_s=\dfrac{\theta}{360^\circ}\times \pi r^2

<h3>Given information</h3>

We given a circle (the dartboard) with diameter of 20in, divided into 20 equal(or, congruent) sectors

<h3>Part I: Finding the central angle</h3>

To find the central angle, divide 360^\circ by the number of sectors. Let \alpha denote the central angle, then

\alpha=\dfrac{360^\circ}{20}\\\\\alpha=18^\circ

<h3>Part II: Find the fraction of the circle that one sector takes</h3>

The fraction of the circle that one sector takes up is found by dividing the angle a sector takes up by 360^\circ. The angle has already been computed in Part I (the central angle, \alpha). The fraction is

f=\dfrac{\alpha}{360^\circ}\\\\f=\dfrac{18^\circ}{360^\circ}=\dfrac{1}{20}

<h3>Part III: Find the area of one sector to the nearest tenth</h3>

The area of one sector can be gotten by multiplying the fraction gotten from Part II, with the area formula. That is

A_s=f\times \pi r^2\\=\dfrac{1}{20}\times3.14\times\left(\dfrac{20}{2}\right)^2\\\\=\dfrac{1}{20}\times3.14\times10^2=15.7in^2

Learn more about sectors of a circle brainly.com/question/3432053

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