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Maslowich
2 years ago
6

The regular hexagon has a radius of 4 in. What is the approximate area of the hexagon? 24 in.2 42 in.2 48 in.2 84 in.2

Mathematics
2 answers:
masha68 [24]2 years ago
7 0
The central angle of a hexagon is 60°. Dividing it by two will give us 30°. The side opposite to 30° is 2 inches, multiplied by 2 is 4 inches. Thus, each side of the hexagon is 4 inches. Also, the apothem is 2sqrt(3). The area of the figure is calculated through the equation,
                                           A = 0.5aP
where a is apothem and P is perimeter
Substituting,
                                           A = 0.5(2sqrt3)(4 x 6) = 24sqrt3
The answer is approximately 41.57 in².
Bess [88]2 years ago
7 0
42in square is the anwser
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Matthew and his 3 siblings are wedding a flower bed with an area of 9 square yards. If they shared the job equally,how much squa
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1 year ago
In your internship with Lewis, Lee, & Taylor Inc. you have been asked to forecast the firm's additional funds needed (AFN) f
Allushta [10]

Answer:

Option B. -$22,000

Step-by-step explanation:

Last year data :

Sales = $200,000

Profit margin = 20%

Total assets = $120,000

Accounts payable = $50,000

Accruals = $20,000

Sales growth rate = 40%

Calculate total increase in total assets :

Increase in total assets = Total assets × Growth rate

                                       = 120,000  × 40%

                                       = $48,000

Calculate increase in spontaneous liabilities :

Increase in spontaneous liabilities = (50,000 + 20,000)  ×  40%

                                                         = $28,000

Calculate increase in retained dividend :

calculate the increase sales :

        increased sales = 200,000 × (1 + 0.40)

                                   = 280,000

calculate profit margin for next year on increase sales :

      Profit margin on increased sales = 280,000 × 20%

                                                             = $56,000

Calculate retained earning :

       Retained earning = profit - payout of profit

                                     = 56,000 - ( 56,000 × 25% )

                                     = 56,000 - 14,000

                                     = $42,000

Calculate AFN :

AFN = Increase in assets - Increase in liabilities - increase in retained earning

       = 48,000 - 28,000 - 42,000

       = -$22,000

Option B. is the answer.

6 0
2 years ago
Decrease £19064.67 by 9.5%<br>Give your answer rounded to 2 DP.<br>​
Advocard [28]

Answer:

£17253.53 to the nearest hundredth.

Step-by-step explanation:

Decreasing by 9,5% is equivalent to multiplying by  1 - 0.095 = 0.905.

19064.67 * 0.905

= £17253.52635.

8 0
2 years ago
Read 2 more answers
Joanna, the line manager at Smedley Electronics, works 14 hours a week more than her line workers and gets paid $6.50 more per h
chubhunter [2.5K]
Given:
Joanna :
works 14 hrs a week more than her line workers.
gets paid 6.50 more per hour than her line workers.

Line workers: h = hours per week ; d = dollars per hour.

Line worker = Dollar per hour * number of hours.
Joanna = (Dollar per hour + 6.50)(number of hours + 14 hours)

Line worker:
$576 = d * 36 hours
$576/36 = d
$16 = d    hourly rate of line worker.

Joanna:
$16 + 6.50 = $22.50 hourly rate
36hrs + 14hrs = 50 hours per week.

Weekly pay of Joanna: $22.50 * 50 = $1,125
5 0
1 year ago
If the heights of 300 students are normally distributed with mean 68.0 inches and standard deviation 3.0 inches, how many studen
Lunna [17]
Given:
μ = 68 in, population mean
σ = 3 in, population standard deviation

Calculate z-scores for the following random variable and determine their probabilities from standard tables.

x = 72 in:
z = (x-μ)/σ = (72-68)/3 = 1.333
P(x) = 0.9088

x = 64 in:
z = (64 -38)/3 = -1.333
P(x) = 0.0912

x = 65 in
z = (65 - 68)/3 = -1
P(x) = 0.1587

x = 71:
z = (71-68)/3 = 1
P(x) = 0.8413

Part (a)
For x > 72 in, obtain
300 - 300*0.9088 = 27.36

Answer: 27

Part (b)
For x ≤ 64 in, obtain
300*0.0912 = 27.36

Answer: 27

Part (c)
For 65 ≤ x ≤ 71, obtain
300*(0.8413 - 0.1587) = 204.78

Answer: 204

Part (d)
For x = 68 in, obtain
z = 0
P(x) = 0.5
The number of students is
300*0.5 = 150

Answer: 150

3 0
2 years ago
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