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2 years ago

A circle has a circumference of 24π meters. What is the radius of the circle.

Mathematics

2 answers:

Mnenie [13.5K]2 years ago

5 0

Answer:

12 meters

Step-by-step explanation:

24π / 2π = 12 meters

katovenus [111]2 years ago

4 0

Answer:

3.81972

Step-by-step explanation:

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If one pound is $4.40 how much is 3/8's of a pound?

baherus [9]

Answer:

1.65

Step-by-step explanation:

you said one pound is $4.40

and that how much is 3/8 of a pound

so 3/8 multiplied by 4.40

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2 years ago

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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:

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

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

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

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

$\\ \\ =-\frac { 64 }{ 3{ r }^{ 2 } } \\ \\ When\quad r=8,\\ \\ \frac { dr }{ dt } =-\frac { 64 }{ 3\cdot { 8 }^{ 2 } } =-\frac { 1 }{ 3 } \\ \\ Answer:\quad -\frac { 1 }{ 3 } \quad cm/sec$

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3 years ago

Abby wants to buy one shirt for $25 and three pairs of socks for $2 per pair. If sales tax is 8%, how much will she pay in tax?

klemol [59]

Answer:

28.52

Step-by-step explanation: you're welcome

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2 years ago

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leva [86]

Answer:

The answer is 4.802 × 10⁷

Step-by-step explanation:

48020000 = 4.802 × 10⁷

Thus, The answer is 4.802 × 10⁷

<u>-TheUnknownScientist</u>

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2 years ago

What are four consecutive numbers if the sum is 604

antiseptic1488 [7]

Answer:

149.5, 150.5 , 151.5, 152.5

Step-by-step explanation:

n+(n+1)+(n+2)+(n+3)= 604

Combine Like Terms

4n + 6 = 604

Subtract 6

4n = 598

Divide by 4

n=149.5

Check Your Work:

149.5+150.5+151.5+152.5 = 604

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3 years ago

A circle has a circumference of 24π meters. What is the radius of the circle.​

A circle has a circumference of 24π meters. What is the radius of the circle.