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Kazeer [188]
3 years ago
8

A circle has a radius of 12 inches. Find the length of the arc intercepted by a central angle of 120 degrees to the nearest tent

h of an inch.
Mathematics
1 answer:
OlgaM077 [116]3 years ago
3 0

Answer:

25.12 inches

Step-by-step explanation:

We have given the radius of the circle =12 inches

The central angle intercepted by the arc =120°

We have to find the length of the arc

So length of the arc is given by 2\pi \times r\times \frac{central\ angle}{360}

=\frac{2\times \pi \times 12\times 120}{360}=25.12inches

So the length of the arc will be 25.12 inch

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Answer:

A, \sqrt{17}

Step-by-step explanation:

a^2 + b^2 = c^2

8^2 + b^2 = 9^2

64 + b^2 = 81

b^2 = 17

b = \sqrt{17}

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At noon, ship A is 170 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing north at 20 km/h. How fast is
garik1379 [7]
Check the picture below.

now, keep in mind that ship B is going at 20kph, thus from noon to 4pm, is 4 hours, so it has travelled by then 20 * 4 or 80 kilometers, thus b = 80.

whilst the ship B is moving north, the distance "a" is not really changing, and thus is a constant, that matters because the derivative of a constant is 0.

\bf c^2=a^2+b^2\implies \stackrel{chain~rule}{2c\cfrac{dc}{dt}}=0+2b\cfrac{db}{dt}\implies \cfrac{dc}{dt}=\cfrac{b\frac{db}{dt}}{c}
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8 0
3 years ago
A circle is centered on Point B. Points A, C, and D lie on it’s circumference. If Angle ADC measures 61 Degrees, what does Angle
Nostrana [21]

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Step-by-step explanation:

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The rectangle shown has a perimeter of 146 cm and the given area. Its length is 7 more than five times its width. Write and solv
dangina [55]

Answer:

System of equations:

L = 5W + 7

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L = 62 cm

W = 11 cm

Step-by-step explanation:

Given the measurements and key words/phrases in the problem, we can set up two different equations that can be used to find both variables, length and width, of the rectangle.  

The formula for perimeter of a rectangle is:  2W + 2L = P, where W = width and L = length.  We also know that the L is '7 more than five times its width'.  This can be written as:  L = 5W + 7.  Using this expression for the value of 'L', we can use the formula for perimeter and solve for width:

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Combine like terms:  12W + 14 = 146

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Divide 12 by both sides:  12W/12 = 132/12 or W = 11

Put '11' in for W in the equation for 'L':  L = 5(11) + 7 or L = 55 + 7 = 62.

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