The figure below shows the ideal pattern of movement of a herd of cattle, with the arrows showing the movement of the handler as he moves the herd. The arc the handler makes from the starting point to the return point should be a quarter of a circle: A sector showing a quarter of a circle is drawn. The radius is marked as 75 feet. The endpoints of the arc of the sector are marked as Starting Point and Return Point. The sector is filled with cattle.

Based on this theory, what distance will the handler move from the starting point to the return point if he creates an arc of a circle with radius 75 feet?

A) 1884 feet
B) 4415.63 feet
C)58.88 feet
D) 117.75 feet

D. 117.75 ft

Step-by-step explanation:

Length of arc = θ/360 × 2πr

Where,

θ = 90° (angel subtended by quarter of a circle)

radius (r) = 75 ft

Plug in the values into the formula

Length of arc = 90/360 × 2 × π × 75

= 1/4 × 150π

= 37.5π

= 117.75 ft

answer: on kudzu, being female and being green are independent events.

step-by-step explanation:

explanation:

infrared radiation has wavelength in the range between 700 nm and 1 mm. lets' convert these values into scientific notation, keeping in mind that:

let's start from the lower value, we have:

(we moved the dot two places to the left, so we increased the exponent by 2 units, from -9 to -7)

the higher value is:

so, the range of wavelength of infrared radiation is: