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MatroZZZ [7]
3 years ago
11

Refer to the figure to the right.

Mathematics
1 answer:
Law Incorporation [45]3 years ago
6 0

Step-by-step explanation:

Use arc length:

s = rθ

where r is the radius and θ is the angle in radians.

a) First, convert the angle to radians (1 degree = 60 minutes).

77 ⁵⁰/₆₀° × (π radian / 180°) = 1.358 radians

s = rθ

s = (9.67 in) (1.358 rad)

s = 13.1 in

b) s = rθ

4 in = (9.67 in) θ

θ = 0.414 radians

θ = 23.7°

θ = 23° 42'

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Answer:

A Used Truck Would Go For Around $18,000

Step-by-step explanation:

A used truck would go for around $18,000.

    The reason a used truck would go for around $18,000 dollars is because if a new truck costed $45,000, and a used truck usually goes for around 40% of that, all you have to do is multiply 45,000 by .40 to get 40% of 45,000.

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3 years ago
Problems that equal 3r12
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What does r mean. if r means multiply blank than 3*4 = 12
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3 years ago
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A film starts at 15:35 and lasts 132 minutes. What time will it finish
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132min=2h 12min
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3 years ago
a spherical balloon is deflated at a rate of 256pi/3 cm^3/sec. at what rate is the radius of the balloon changing when the radiu
Hunter-Best [27]
What you need to look for is \frac { dr }{ dt } when r=8.

Now:

Volume\quad of\quad a\quad sphere:\\ \\ V=\frac { 4 }{ 3 } \pi { r }^{ 3 }

\therefore \quad \frac { dV }{ dr } =\frac { 4 }{ 3 } \pi \cdot 3{ r }^{ 2 }=4\pi { r }^{ 2 }\\ \\ \therefore \quad \frac { dr }{ dV } =\frac { 1 }{ \frac { dV }{ dr }  } =\frac { 1 }{ 4\pi { r }^{ 2 } }

And:\\ \\ \frac { dV }{ dt } =-\frac { 256\pi  }{ 3 } \\ \\ Therefore:\\ \\ \frac { dr }{ dt } =\frac { dr }{ dV } \cdot \frac { dV }{ dt }

\\ \\ =\frac { 1 }{ 4\pi { r }^{ 2 } } \cdot -\frac { 256\pi  }{ 3 } \\ \\ =-\frac { 256 }{ 12 } \cdot \frac { \pi  }{ \pi  } \cdot \frac { 1 }{ { r }^{ 2 } }

\\ \\ =-\frac { 64 }{ 3{ r }^{ 2 } } \\ \\ When\quad r=8,\\ \\ \frac { dr }{ dt } =-\frac { 64 }{ 3\cdot { 8 }^{ 2 } } =-\frac { 1 }{ 3 } \\ \\ Answer:\quad -\frac { 1 }{ 3 } \quad cm/sec
3 0
3 years ago
What is the value of x?
Talja [164]
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a^{2} + b^{2} = c^{2}

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Square root both sides to get b by itself.

\sqrt{64} = 8

b = 8

The value of x is 8.
7 0
3 years ago
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