4 years ago

Find the length of the diameter of a sphere with a surface area of 1890.56 cm^2.

1 answer:

3 0

1890.56 / 4 = 472.64 / pi = 150.4459846
square root of 150.4459846 = 12.26564245 = radius
12.26564245 x 2= 24.53128489
the answer is number 2

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Two gears are adjusted so that the smaller gear drives the larger one. if the smaller gear of 3.7cm rotates through an angle of

zepelin [54]

Answer:

The larger gear will rotate through 156°

Step-by-step explanation:

Arc Length

The arc length S of an angle θ on a circle of radius r is:

$S = \theta r$

Where θ is expressed in radians.

The smaller gear of r1=3.7 cm drives a larger gear of r2=7.1 cm. The smaller gear rotates through an angle of θ1=300°.

Convert the angle to radians:

$\displaystyle \theta_1=300*\frac{\pi}{180}=\frac{5\pi}{3}$

The arc length of the smaller gear is:

$\displaystyle S_1=\frac{5\pi}{3}\cdot 3.7$

$\displaystyle S_1=\frac{18.5\pi}{3}$

The larger gear rotates the same arc length, so:

$\displaystyle S_2=\frac{18.5\pi}{3}$

$\displaystyle \theta_2\cdot r_2=\frac{18.5\pi}{3}$

Solving for θ2:

$\displaystyle \theta_2=\frac{18.5\pi}{3r_2}$

$\displaystyle \theta_2=\frac{18.5\pi}{3*7.1}$

$\theta_2=2.73\ radians$

$\displaystyle \theta_2=2.73*\frac{180}{\pi}=156$

The larger gear will rotate through 156°

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3 years ago

X=-2 or ×=-8 in factored form

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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Francisco is making an effort to drink more water, and has set a goal of 222 liters per day. He wants to know the volume of the

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V = 1,005.7 rounded off to one decimal place

Because:

Volume of a cylinder = πr²h

V = 22/7 x 4 x 4 x 20

V = 1,005.7

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4 years ago