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Mathematics

1 answer:

gulaghasi [49]3 years ago

7 0

Answer:

Answer: B. XY

Step-by-step explanation:

Lines and Circles

There are four lines in the figure:

OB =Radius: A segment from the center to the circumference

XY = Secant: A line that intersects the circle in two points

EF = Chord: A line segment that joins two points on the circle

XV and XB = Tangent: A line that touches the circle on one point and is perpendicular to the radius.

Answer: B. XY

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Answer:

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Step-by-step explanation:

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The wheels on Darlene's car have on 11-inch radius. If the wheels are rotating at a rate of 378 rpm, find the linear speed in mi

elena-s [515]

Answer:

The linear speed in which Darlene is traveling is 24.74 miles per hour.

Step-by-step explanation:

The wheel experiments rolling, which is a combination of translation and rotation. The point where linear speed happens is located at geometrical center of the wheel and instantaneous center of rotation is located at the point of contact between wheel and ground. The linear speed ( $v$ ), measured in inches per second, is defined by following expression:

$v = R\cdot \omega$ (1)

Where:

$R$ - Radius of the wheel, measured in inches.

$\omega$ - Angular speed, measured in radians per second.

If we know that $R = 11\,in$ and $\omega \approx 39.584\,\frac{rad}{s}$ , then the linear speed, measured in miles per hour, in which Darlene is traveling is: