Answer:
The radius, r₂, of the ball that uses one-half the amount of rubber coating used to cover the 16-inch ball is approximately 4.66 inches
Step-by-step explanation:
The dimension of the ball with known radius = 16-inch
The surface area of the ball with 16-inch radius = 4×π×r² = π·D² = π×16² = 804.24772 in.²
Given that the ball uses one-half the rubber material coating used to cover the 16-inch ball, we have the surface area of the ball = 804.24772 in.²/2 = 402.12386 in.²
The radius, r₂ of the new ball is found as follows;
402.12386 in.² = 4×π×r₂²
r₂² = 402.12386 in.² /(4×π) ≈ 32
r₂ = √32 = 4·√2 ≈ 4.66 inches
The radius, r₂, of the ball that uses one-half the amount of rubber coating used to cover the 16-inch ball ≈ 4.66 inches.
Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Using slope formula to find the value of k:</u>
- (-9 - k)/(-2 - (-4)) = - 9
- (-9 - k)/2 = - 9
- - 9 - k = - 18
- k = 18 - 9
- k = 9
Answer:
The equation that represents circle C is 
.
Step-by-step explanation:
A circle is the set of all points in the plane which maintains a fixed finite distance <em>r</em> from a fixed point <em>O = (a, b)</em>. Here <em>O</em> is called the center, and <em>r</em> is called the radius of that circle.
The standard equation for a circle with center (a, b) and radius <em>r</em> is
We are told that the center of this circle is (-2, 10), so
We are also told that the circle contains the point (10, 5), so we will use that information to find the radius <em>r.</em>
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Therefore, the equation that represents circle C is
Answer:
yes
Step-by-step explanation:
