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Sav [38]
3 years ago
15

A regular hexagon has an area of 750.8cm². The side length is 17cm. Find the apothem.

Mathematics
1 answer:
larisa86 [58]3 years ago
4 0
The formula for determining the apothem of regular hexagon is s/2tan(180/n) , where 's' is any side length of regular hexagon and 'n' is the number of sides of regular hexagon.
So, apothem = 17/2tan(180/n)
= 17/2tan(30)
= 17/1.15
= 14.78 units
Therefore, the measure of apothem of the regular hexagon is 14.7 units.
B is the right answer.
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What is 1 plus 1 i need answer fast so please answer the question thanks
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Answer:2

Step-by-step explanation: 1+1=2

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3 years ago
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justin is 10 years less than half his father's age. if justin is 12 years old, how old is his father?
postnew [5]
Make an equation:

J = 1/2F - 10

Where 'J' represents Justin's age and 'F' represents his Father's age.

Plug in 12 for J:

12 = 1/2F - 10

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Divide 1/2 to both sides or multiply by its reciprocal, 2:

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4 years ago
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How long would it take for money to double at 11% interest compounded quarterly?
vlada-n [284]

Answer: Approximately 6.3876 years

When rounding to the nearest whole number, this rounds up to 7 years.

===============================================================

Work Shown:

We'll use the compound interest formula

A = P*(1+r/n)^(n*t)

where,

  • A = amount of money after t years
  • P = initial deposit amount or principal
  • r = interest rate in decimal form
  • n = compounding frequency
  • t = number of years

In this case, we know that,

  • A = 2P, since we want the initial amount to double. P can be any positive real number you want and it doesn't affect the answer.
  • r = 0.11
  • n = 4, since we're compounding 4 times a year
  • t = unknown, what we want to solve for

So,

A = P*(1+r/n)^(n*t)

2P = P*(1+r/n)^(n*t)

2 = (1+r/n)^(n*t)

2 = (1+0.11/4)^(4*t)

2 = 1.0275^(4t)

Ln(2) = Ln(1.0275^(4t))

Ln(2) = 4t*Ln(1.0275)

4t*Ln(1.0275) = Ln(2)

t = Ln(2)/(4*Ln(1.0275))

t = 6.38758965414661

It takes roughly 6.3876 years for the deposit to double. If you need this to the nearest whole number, then round up to 7. We don't round to 6 because then we would come up short of the goal of doubling the deposit.

5 0
3 years ago
I need help on these whoever answer this question will be the brainliest!!
kirza4 [7]

Answer:

It's 60

Step-by-step explanation:

It's 60

PLEASE VOTE 5.0 MARK ME BRAINLIEST AND THANK ME

5 0
3 years ago
What is the probability if a penny lands on heads 30 times after being tossed 50 times?
Firlakuza [10]

The probability will be equal to 60%.

<h3>What is probability?</h3>

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The best thing to do here is to put it into a fraction. as 30 landed heads up, 20 (50-30) must be tails.

You can then put this into a fraction, which becomes 20/50.

To turn this into a decimal, you can then divide 1 by 50

1/50= 0.02

As you've got 22 lots of this, you then need to multiply 0.02 by 20.

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To find the percentage, you've then got to multiply the decimal by 100.

100x0.40= 40.

Therefore, 40% of the tosses would be tails

As you've found what one percentage is, you simply need to take this number away from 100 to find the other, rather than having to go through the process again.

100-40= 60

To know more about probability follow

brainly.com/question/24756209

#SPJ1

7 0
2 years ago
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