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nasty-shy [4]
3 years ago
7

The area of a circle is 100 π.what is the lenght of the side of a tegular hexagon inscribed in a circle.

Mathematics
1 answer:
yawa3891 [41]3 years ago
8 0
This logic, geometric logic at that.

First find the radius of the circle.

area = \pi {r}^{2} \\
We find the radius by a little algebraic manipulation.

area = \pi {r}^{2} \\ \sqrt{ \frac{area}{\pi} } = r \\ \sqrt{ \frac{100\pi}{\pi} } = r \\ radius = 10

Answer:

The height of the hexagon is 10 units (whatever the units are, every measurement needs units). All the sides of a polygon are equal, and it's a regular hexagon, which is a polygon. It's simple thinking, mostly people get into trouble when they over think it
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If 2x + 5y = -5 what is x if y = -5<br> HELP ASAP
mash [69]

Answer:

x=10

Step-by-step explanation:

first substitute y with the value (-5)

2x+5(-5)=-5 which is simplified to 2x+-25=-5

add 25 to -5 which gives you 2x=20

then divide 20 by 2 which makes x=10

7 0
3 years ago
after every eighth visit to a restaurant you receive a free beverage.after every tenth visit you receive a free appetizer. if yo
Alik [6]

On the 40th and the 80th you will receive both a free beverage and a free appetizer. You can find this by simply finding the multiples of both number up to 100 (or a little more than 100) to find out on which dates you'd get bothe an appetizer and beverage for free. Here are the multiples of both, to prove this answer.

  • 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104.
  • 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100.

Thus making 40 and 80 the answers. I hope this helps!

3 0
2 years ago
For selected years, the national health care expenditure, in billion of dollors can be modelled by H=29.57e^0.0970t, remains acu
Sliva [168]

Answer:

The correct answer is 54.76 years.

Step-by-step explanation:

The national health care expenditure (H) , in billion of dollars is modeled by

H = 29.57 × e^{0.0970t}.

To measure the time before which national health expenditure reach 6000 billion dollars.

Thus putting the value of H = 6000 in the above modeled equation we get,

⇒ 6000 = 29.57 × e^{0.0970t}

⇒ \frac{6000}{29.57} = e^{0.0970t}

⇒ 202.908 = e^{0.0970t}

Taking logarithm with the base of e (㏑) both sides we get,

⇒ ㏑ 202.908 = ㏑ e^{0.0970t}

⇒ ㏑ 202.908 = 0.0970 × t

⇒ 0.0970 × t = 5.312

⇒ t = \frac{5.312}{0.0970}

⇒ t = 54.76.

Thus the total time required before which national health expenditure reach 6000 billion dollars is 54.76 years.

3 0
3 years ago
3. A package of 23 medicated cough drops costs $3.00. What is the unit cost (unit rate)? O $0.11 per cough drop O $1.30 per coug
Simora [160]

Answer:

$ 0.13

Step-by-step explanation:

4 0
3 years ago
(-2x+y=8) minus (5x-y=6)
Hitman42 [59]

Answer:-7x+2y=2

Step-by-step explanation:

(-2x+y=8)-(5x-y=6)

(-2x+y=8)> this side change since it’s negative

(-2x+y=8) - (-5x+y=-6)

-7x+2y=2

6 0
2 years ago
Read 2 more answers
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