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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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An object is moving at a speed of 95 kilometers every 7.5 weeks. Express this speed in
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Answer:

<h2>5,936.76 feet/day</h2>

Step-by-step explanation:

Formula to use to get the speed is expressed as speed = Distance/Time

Given parameters

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Time = 7.5weeks

Since we are to express the answer in feet per day, we will convert the distance to feet and time to days.

For the distance:

Given the conversion

1 km = 3280.84 feet

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For the time:

If 1 week = 7 days

7.5weeks = (7.5 * 7)

7.5weeks = 52.5 days

Speed In ft/day =  311,679.8 feet/ 52.5 days

Speed in ft/day = 5,936.76 feet/day

<em>Hence the speed in feet per day is  5,936.76 feet/day</em>

3 0
2 years ago
In which diagram are angles 1 and 2 vertical angles?
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<u>Answer</u>

First diagram shows  1 and 2 vertical angles

<u>Explanation</u>

From the all four diagrams,we get the diagram first shows the vertically opposite angles.  

angle 1 and angle 2 are vertically opposite angles

vertically opposite angles are equal in measurements. when two lines are intersect each other form four angles, out of this four angles two pairs of vertically opposite  angles are there.

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Answer: -1mn + 10m +5n

Step-by-step explanation:

14 - 15 = -1

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<!> Brainliest is much appreciated! <!>

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Answer:

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Susan and ronald dugan agreed upon the price of 256,000 for their new home. They plan to make 30 percent down payment and financ
Eduardwww [97]

Answer:

The total amount to be paid for new home is $838,014.72  

Step-by-step explanation:

Given as :

The price of the new house = $256,000

The down payment amount = 30% of house price

So, The down payment price =  30% of $256,000

i.e The down payment price =  \dfrac{30}{100} × 256000

Or, The down payment price = $76,800

Now, rest amount is finance

So, The finance Amount = p = $256000 - $76800 = $179,200

The rate of interest applied = r = 7.5%

The time period of finance = t = 20 years

Let The Amount after 20 years of finance = $A

Let The total amount to be paid for new home = $B

<u>Now, From Compound Interest </u>

Amount = Principal × (1+\dfrac{\textrm rate}{100})^{\textrm time}

Or, A = p × (1+\dfrac{\textrm r}{100})^{\textrm t}

Or, A = $179,200 × (1+\dfrac{\textrm 7.5}{100})^{\textrm 20}

Or, A = $179,200 × (1.075)^{\textrm 20}

Or, A = $179,200 × 4.24785

∴  A = $761,214.72

So,The Amount after 20 years of finance = A = $761,214.72

<u>Now, Again</u>

The total amount to be paid for new home = Down payment amount + The Amount after 20 years of finance

Or, B = $76,800 + A

Or, B = $76,800 + $761,214.72

Or, B = $838,014.72

So, The total amount to be paid for new home = B = $838,014.72

Hence, The total amount to be paid for new home is $838,014.72  Answer

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2 years ago
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