GEOMETRY AID URGENT?

Mathematics

1 answer:

weeeeeb [17]2 years ago

4 0

Lets assume center point of circle as O

OD is the radius of circle . so OD is also 7

All the sides of the triangle are equal . so angle at the center O is 60 degree.

radius = 7

Length of arc CD = $\frac{theta}{360} * 2*\pi*r$

= $\frac{60}{360} * 2*\pi*7$

= $\frac{1}{6} * 2*\pi*7$

= $\frac{7\pi}{3}$

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5. Graph the given system of linear inequalities on the coordinate plane below. (2 points)sy <-3x - 4< 21-15NA11 2 3 4 5 6

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ANSWERS

(5) Graph:

(6) Solutions: (-1, -5) and (-2, -7)

Not solutions: (1, 1) and (-4, -3)

EXPLANATION

(5) To graph this system, first, we have to graph each of the inequalities. Both are linear, so we have to graph each line with a dashed line - this is because they are "less than" the line, so the line is not included, and shade the area below each of them.

The first inequality is y < -3x-4,

The second inequality is y < 2x - 1,

The graph of the system is the area shared by both graphs,

(6) Any point that is inside the shaded area is a solution of the system. For example, points (-1, -5) and (-2,-7) are solutions to the system.

On the other hand, any point outside that area, or on the dashed lines is not a solution. For example, points (1, 1) and (-4, -3) are not solutions