The number in standard form would be 4013.2
Hope this helped,
-Anime
9-2x
-Difference means subtract (9- ... )
-Twice means multiply (X)
-Twice a number x is (2x)
-You are multiplying 2 and x (2x)
Answer: Choice C. 107.9 degrees (approximate)
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Explanation:
Draw a line segment from A to B. Mark point E as the intersection between this new line segment and the arc CD.
We can see that AE = 4000 because it's another radius of the same circle. The diagram shows that EB = 2800.
So,
AB = AE+EB = 4000+2800 = 6800
Because point D is a tangent point, this means radius AD is perpendicular to tangent segment BD. We have a 90 degree angle at point D, or we can write angle BDA = 90.
With triangle BDA being a right triangle, we can use a trig ratio to compute angle DAB. I'll call this angle A for short.
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Apply the cosine ratio. Focus entirely on triangle BDA.
cos(angle) = adjacent/hypotenuse
cos(A) = AD/AB
cos(A) = 4000/6800
cos(A) = 10/17
A = arccos(10/17)
A = 53.9681209275294 ... make sure your calc is in degree mode
A = 53.968
Angle DAB = 53.968 degrees approximately
This represents exactly half of central angle CAD, so we'll double the value to get 2*53.968 = 107.936 which rounds to 107.9 degrees showing why choice C is the answer.
Central angle CAD is exactly equal to the arc it cuts off, minor arc CD. The central angle is roughly 107.9 degrees of a full 360 degree circle, and the same can be said about the outer arc edge piece of minor arc CD.
Answer:
(0, -2) and (2, 0)
Step-by-step explanation:
The solution to a systems of equations is when the x and y values are equal for two equations. This can also been seen as when the two equations intersect. So by looking at the graph you see the line and the circle intersect at the point (2, 0) and (0, -2) which are going to be the two solutions to the systems of equations.
Answer:
Step-by-step explanation:
250
