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3 years ago

8

Which Earth feature was created in a similar way to how much of the solar system was formed? A. Meteor Crater B. the Grand Canyo

n C. the Petrified National Forest D. Half Dome in Yosemite National Park

1 answer:

Andrei [34K]3 years ago

8 0

Answer: i think its b.

Step-by-step explanation:

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Regular hexagon ABCDEF is inscribed in circle X and has an apothem that is 6√3 inches long. Use the length of the apothem to cal

Phantasy [73]

Answer:

Part A

$The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}$

Plugging in the given values we get;

$The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12$

R = 12 inches

The radius of the circumscribing circle is 12 inches

Part B

The length of each side of the hexagon, 's', is;

$s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)$

Therefore;

$s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12$

s = 12 inches

The perimeter, P = n × s = 6 × 12 = 72 inches

The perimeter of the hexagon is 72 inches

Step-by-step explanation:

The given parameters of the regular hexagon are;

The length of the apothem of the regular hexagon, a = 6·√3 inches

The relationship between the apothem, 'a', and the circumradius, 'R', is given as follows;

$a = R \cdot cos \left(\dfrac{\pi}{n} \right)$

Where;

n = The number of sides of the regular polygon = 6 for a hexagon

'a = 6·√3 inches', and 'R' are the apothem and the circumradius respectively;

Part A

Therefore, we have;

$The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}$

Plugging in the values gives;

$The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12$

The circumradius, R = 12 inches

Part B

The length of each side of the hexagon, 's', is given as follows;

$s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)$

Therefore, we get;

$s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12$

The length of each side of the hexagon, s = 12 inches

The perimeter of the hexagon, P = n × s = 6 × 12 = 72 inches

The perimeter of the hexagon = 72 inches

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3 years ago

It took a car 4 days to travel 4717 miles. What was this car’s average speed, in miles per hour? (Round to the nearest per hour)

KiRa [710]

Answer:

51 MPH

Step-by-step explanation:

4 days is 96 hours, all you have to do is 4717/90

which is 51.41111 (with the 1 repeating) rounded to the nearest MPH (Nearest whole number) is 51

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2 years ago

Answer each part. If necessary, round your answers to the nearest hundredth.

Aneli [31]

Answer:

2.8 pages in one minute ( 3 pages if rounded)

Step-by-step explanation:

14 pages in five minutes

therefore one minute=

14÷5=2.8 pages /3

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The chance of you drawing a 10 is 1/13 and times 13 is a 1/1 chance of drawing a ten

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3 years ago

2b-3/b-2 = 3b/b+2 ... Solutions by cross multiplying

Rzqust [24]

Step-by-step explanation:

(2b-3)/(b-2)(b+2) = 3b(b-2)/(b+2)(b-2)

2b²+4b-3b-6/b²-4=3b²-6b/b²-4

2b²+b- 6= 3b²-6b

move square to square unknown to unknown

-b²+7b-6/b²-4

i also dk this is true or false

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3 years ago