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3 years ago

Estimate the angular diameter of your thumb, held at arm's length.

1 answer:

3 0

Well, this depends on the length of your outstretched arm from the joint of your shoulder to the joint of your thumb finger. Mine is 21 inches long. My thumb is 2.5 inches long. The angular diameter can be determined using the trigonometric functions. We can use the tangent function

tan θ = opposite side/adjacent side = thumb's length/shoulder-to-finger length
tan θ = 2.5 in/21 in
θ = 6.79°

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3 years ago

A go-cart racetrack has 100-meter straightaways and semicircular ends with diameters of 40 meters. Calculate the average speed i

emmainna [20.7K]

Answer:

Average speed of go cart is 217.07 meters per minute.

Step-by-step explanation:

We are given the following in the question:

Length of straightway racetrack = 100 m

Diameter of semicircular end = 40 m

Radius =

$r = \dfrac{d}{2} = \dfrac{40}{2} = 20\text{ m}$

Perimeter of racetrack =

Perimeter of semicircle + 2(Length of straightway) + Perimeter of semicircle

$=\pi r + 2(100) + \pi r\\=2\pi r + 2(200)\\=(2\times 3.14\times 20) + 200\\=325.6\text{ m}$

Speed =

$s = \dfrac{\text{Distance}}{\text{Time}}\\\\s = \dfrac{4\times \text{Perimeter of track}}{6}\\\\s = \dfrac{4\times 325.6}{6}\\\\s = 217.06\text{ meter per minute}$

Thus, average speed of go cart is 217.07 meters per minute.

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Xelga [282]

Answer:

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Step-by-step explanation:

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Because f(5/2)=0, then the binomial is indeed a factor of the polynomial!

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