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antiseptic1488 [7]
2 years ago
9

Which statements can be represented by this equation? Select three options.

Mathematics
2 answers:
eduard2 years ago
8 0

Answer:

A C E

Step-by-step explanation:

natita [175]2 years ago
4 0
C is the answer
Step by step example:
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From the circle geometry theorem, a tangent to a circle makes 90° angles with the radius of the circle.
 
RQ is perpendicular to QP
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L= 78 si P=256
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3 years ago
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The radius of a right circular cone is increasing at a rate of 1.5 in/s while its height is decreasing at a rate of 2.1 in/s. At
givi [52]

Answer:

The volume of the cone is changing at a rate of approximately 8670.796 cubic inches per second.

Step-by-step explanation:

Geometrically speaking, the volume of the right circular cone (V), in cubic inches, is defined by the following formula:

V = \frac{1}{3}\cdot \pi \cdot r^{2}\cdot h (1)

Where:

r - Radius, in inches.

h - Height, in inches.

Then, we derive an expression for the rate of change of the volume (\dot V), in cubic inches per second, by derivatives:

\dot V = \frac{1}{3}\cdot \pi \cdot (2\cdot r\cdot h \cdot \dot r + r^{2}\cdot \dot h) (2)

Where:

\dot r - Rate of change of the radius, in inches per second.

\dot h - Rate of change of the height, in inches per second.

If we know that r = 120\,in, \dot r = 1.5\,\frac{in}{s}, h = 107\,in and \dot h = -2.1\,\frac{in}{s}, then the rate of change of the volume is:

\dot V \approx 8670.796\,\frac{in^{3}}{s}

The volume of the cone is changing at a rate of approximately 8670.796 cubic inches per second.

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3 years ago
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