Acircular plate has a diameter of
10 inches. an ant walking along the
edge makes 2 revolutions in 4 minutes.
approximately how many inches does
the ant travel in one minute? round
your answer to the nearest tenth of
an inch.

ANSWER

15.7 inches

EXPLANATION

The circular plate has a diameter of 10 inches.

The radius is

The circumference of the circular plate is

We substitute the value of r to get,

If the an makes 2 revolutions in 4 minutes, then in 1 minute it will make

half revolution.

But 1 revolution is 31 .42

Therefore half revolution is 15.7 inches to the nearest tenth.

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west

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step-by-step explanation: