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Ugo [173]
3 years ago
6

Estimate the circumference of a circle that has a diameter of 6 ft.

Mathematics
1 answer:
irga5000 [103]3 years ago
7 0
The formula for circumference is C = 2πr, where r is the radius of the circle. However, the radius is half the diameter, so the circumference could also be calculated using the formula C = πd, where d is the diameter of the circle. π is commonly shortened to 3.14.

If the diameter of the circle is 6 feet, an estimate of the circle's circumference is 6 times 3 feet or 18 feet.

Answer:
18 ft
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The coordinates are (22, 18)

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4(2x − 7)2 if x = 5...........................
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You bicycle along a straight flat road with a safety light attached to one foot. Your bike moves at a speed of 15 km/hr and your
Viefleur [7K]

Answer:

a)

x(t) = ( 4.167 t + 0.2 cos (2πt))

y(t) = ( 0.3 - 0.2 sin  (2πt))

b) the  foot have to be 3.32 rev/sec faster

Step-by-step explanation:

Given that:

the speed of the bike = 15 km/hr = 15 × 1000/3600 (m/sec) = 4.167 m/sec

radius of the circle when the foot moves = 20 cm = 0.2 m

radius of the circle above the ground = 30 cm = 0.3 m

Let assume that:

x(t)  should represent the vector along the horizontal moment

y(t) should be the vector along the vertical moment

The initial component will be ( 0, 0.3)

We know that the radius of the circle is given as 0.2 m, So the vector of the circle can be written as (0.2 cos t , 0.2 sin t )

Also, the foot makes one revolution in a second, definitely the frequency of the revolution = 1 and the vector for the circle is ( 0.2 cos (2πt), -0.2 sin  (2πt)), due to the fact that the foot moves clockwise.

Thus, adding all the component together ; we have:

(x(t), y(t)) = (0,0.3)+(4.167 t , 0)+(0.2 cos (2πt), -0.2 sin  (2πt))

(x(t), y(t)) = (4.167 t + 0.2 cos (2πt), 0.3 - 0.2 sin  (2πt))

Hence; the parametric equations are:

x(t) = ( 4.167 t + 0.2 cos (2πt))

y(t) = ( 0.3 - 0.2 sin  (2πt))

b)

The linear speed of rotation is :

15km/hr = 15 × 100, 000/3600 (cm/sec)

             = 416.7 cm/sec

The rotational frequency is :

= 416.7/2πr

= 416.7/2(3.14 × 20)

= 3.32 rev/sec

Hence, the  foot have to be 3.32 rev/sec faster in rotating if an observer standing at the side of the road sees the light moving backward.

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3 years ago
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Delvig [45]

An infinite strip with a symmetric pattern is called a frieze pattern.

There are only seven possible frieze pattern.

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2. Glide reflection plus translation symmetry.

3. Reflection over a horizontal line plus translation.

4. Reflection over a vertical line plus translation.

5. Rotation (a half-turn about a point on the mid line of the strip) plus translation.

6. Reflection over a vertical line plus a reflection over a horizontal line plus translation.

7. Reflection over a vertical line plus glide reflection plus translation.


6 0
2 years ago
As an estimation we are told 5 miles is 8 km.
melamori03 [73]

Answer:

Step-by-step explanation:

52.5 mi(8 km/5mi) = 84 km

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3 years ago
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