Which is the best estimate for the quotient of 198.32 ÷ 9.001?

2 answers:

8 0

The best estimate for the quotient of 198.32 divided by 9.001 is 20. Because if you calculate the equation, the exact answer would be 22.0331074325. The number among the choices which is closest to the exact quotient is 20. Therefore, the answer is letter C. 20.

Allisa [31]3 years ago

5 0

Answer:

Step-by-step explanation:

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The equation for a circle is $(x-h)^2+(y-k)^2=r^2$ , where $(h,k)$ is the vertex of the circle and $r$ is the radius. Immediately, since the center of the circle is given, we know what $h$ and $k$ are. $h$ is 230 and $k$ is 220.

The only thing we need to find is the radius, which will just be the distance from the center (230,220) to a point on the circumference (170,170). The distance between them can be calculated using the <u>distance formula</u>, which is really just the <u>Pythagorean Theorem</u> rearranged. The formula states that $d=\sqrt{x^2+y^2}$ , where $x$ is the change in the x-coordinates of the two points and $y$ is the change in the y-coordinates of the two points. Plug-in $x$ for 60 and $y$ for 50 to get $d=\sqrt{50^2+60^2}$ . Solve for $d$ , arriving at $\sqrt{6100}$ . Therefore, the radius of the circle is $\sqrt{6100}$ .