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denis23 [38]
3 years ago
15

The diameter of a circle is 12 miles. What is the circle's circumference? Use 3.14 for ​.

Mathematics
1 answer:
zubka84 [21]3 years ago
7 0

Answer:

should be 37.68 miles

Step-by-step explanation:

12 x 3.14

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A particle moves on a straight line and has acceleration a(t)=24t+2. Its position at time t=0 is s(0)=3 and its velocity at time
user100 [1]

Answer:

It's position at time t = 5 is 593.

Step-by-step explanation:

The velocity v(t) is the integral of the acceleration a(t)

The position s(t) is the integral of the velocity v(t)

We have that:

The acceleration is:

a(t) = 24t + 2

Velocity:

v(t) = \int {a(t)} \, dt = \int {24t + 2} \, dt = 12t^{2} + 2t + K

K is the initial velocity, that is v(0). Since V(0) = 13, K = 13

Then

v(t) = 12t^{2} + 2t + 13

Position:

s(t) = \int {s(t)} \, dt = \int {12t^{2} + 2t + 13} \, dt = 4t^{3} + t^{2} + 13t + K

Since s(0) = 3

s(t) = 4t^{3} + t^{2} + 13t + 3

What is its position at time t=5?

This is s(5).

s(t) = 4t^{3} + t^{2} + 13t + 3

s(5) = 4*5^{3} + 5^{2} + 13*5 + 3

s(5) = 593

It's position at time t = 5 is 593.

3 0
3 years ago
Container A is cylinder with a radius of 10 units and a height of 10 units. A right cone has been carved from its base and has a
sergij07 [2.7K]

Answer:

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

From the information given,

Height = 10 units

Radius = 10 units

Volume = π × 10² × 10

The formula for determining the volume of a cone is expressed as

Volume = 1/3πr²h

Height = 10 units

Base = 10 units

Volume = 1/3 × π × 10² × 10

Since the cone has been carved from the cylinder, the statement that derives the formula to find the volume of container B is

π × 10² × 10 - 1/3 × π × 10² × 10

7 0
3 years ago
MUSIC Randall recorded 8 songs on his most recent CD. The total length of the CD is 49 minutes. Find a unit rate to represent th
Juliette [100K]

Answer: 6.13

Step-by-step explanation:

From the question, we are informed that MUSIC Randall recorded 8 songs on his most recent CD and that the total length of the CD is 49 minutes.

The unit rate to represent the average length per song on the CD will be calculated by dividing 49 by 8. This will be:

= 49 minutes / 8

= 6.125 minutes per song

= 6.13 to nearest hundredths

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2 years ago
True or false? a tangent line is a line that intersects a circle at exactly one point. APEX ​
Sever21 [200]

Answer:

I believe its true

3 0
3 years ago
Read 2 more answers
PLZ HELPPP
Anna [14]

Answer:

4ft

Step-by-step explanation:

500=pir^2h

r^2=500/(10*pi)

r=3.989ft

4 0
2 years ago
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