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lana [24]
3 years ago
11

Find the diameter of a cicle with an area of 240.48 π square millimeters?

Mathematics
1 answer:
seropon [69]3 years ago
6 0

31.02 mm.

Step-by-step explanation:

Step 1:

The area of the given circle is 240.48 π sq mm

We need to find the diameter of the circle

Step 2:

The formula for obtaining the area of any circle is π*r² where r represents the radius of the circle

We know that the diameter of  circle is 2 times its radius.

Hence equating the formula of the area of the circle to the given value we can find its radius. Then multiplying the radius by 2 , we get the diameter.

Step 3 :

Using the above method , we have

πr²  = 240.48 π

=> r² = 240.48 π / π = 240.48

=> r = √240.48 = 15.51 approximately

Hence the diameter of the given circle is 2 * 15.51 = 31.02 mm.

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Answer:

The potato is 224 feet in the air after 2.75 second on the way up and after 5 seconds on the way back down.

Step-by-step explanation:

Given :  A potato launched by a particular potato gun has a height described by  h ( t ) =-16 t^2+124 t+4.

To find : When is the potato 224 feet in the air?

Solution :

When the potato is 224 feet in the air i.e. h(t)=224

Substitute in the equation h ( t ) =-16 t^2+124 t+4,

224=-16 t^2+124 t+4

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Here, a=4, b=-31 and c=55

t=\frac{-(-31)\pm\sqrt{(-31)^2-4(4)(55)}}{2(4)}

t=\frac{31\pm\sqrt{81}}{8}

t=\frac{31\pm9}{8}

t=\frac{31+9}{8},\frac{31-9}{8}

t=5,2.75

The potato is 224 feet in the air after 2.75 second on the way up and after 5 seconds on the way back down.

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Ivanshal [37]

Answer:

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3 years ago
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