find the area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards long. round your answer to the nearest tenth. show all your work
Answers
There are 2 ways to calculate the area of a a regular hexagon.
It is given:
apothem: b = 10.4 yards
side: a = 12 yards
1. The direct way is to use the formula for the regular hexagon without using an apothem:
where
A - the area of the hexagon
a - the side of the hexagon
Therefore:
2. The indirect way is to sketch the hexagon with 3 diagonals and create 6 triangles. Then, it is necessary to calculate the area of one triangle and multiply it by 6. In this triangle, apothem is actually the height.
The area of the hexagon is:
A = 6 · A₁
where:
A - the area of the hexagon,
A₁ - the area of the triangle
where
h - height of the triangle.
Since apothem (b) of the hexagon is the height (h) of the triangle, then:
Thus, the area of one triangle is 62.4 yards.
To calculate the area of the hexagon, we will multiply it by 6:
A = 6 · A₁
A = 6 · 62.4
A = 374.4 yards
In both cases, the result is 374.4 yards.The answer is
Related Questions
Row= 1, 2, 3, 4 seats = 8, 14, 20, 26 How many seats are in the 14th row???
What is the perimeter of a rectangle 33 sq m by 3 m
The gross income of David Vaughn is $785 per week. His deductions are $42.25, FICA tax; $90.33, income tax; 2% state tax; 1% city tax; and 3% retirement fund. What is his net income for one week?
Brandon decided to keep track of his sleep using a fitness tracker. He was surprised to learn that there was 24 minutes of awake time during the eight hours when he was supposed to be asleep at night.What percentage of the eight hours was Brandon awake during the night? _____ %
A))))). Let X = the amount of money Miguel will receive or owe. Fill out the missing values in the table. (Hint: The total possible outcomes are six because there are four chips and you are choosing two of them.)
(There is a graph to fill out here) (It is the attached media)
B))))). What is Miguel’s expected value from playing the game?
C))))). Based on the expected value in the previous step, how much money should Miguel expect to win or lose each time he plays?
D))))). What value should be assigned to choosing two chips with the number 1 to make the game fair? Explain your answer using a complete sentence and/or an equation.
Answers
Answer:the anser is a
Step-by-step explanation:
To check all the events (6), we label the chips. Suppose one chip with 1 is labeled R1 and the other B1 (as if they were red and blue). Now, lets take all combinations; for the first chip, we have 4 choices and for the 2nd chip we have 3 remaining choices. Thus there are 12 combinations. Since we dont care about the order, there are only 6 combinations since for example R1, 3 is the same as 3, R1 for us.
The combinations are: (R1, B1), (R1, 3), (R1, 5), (B1, 3), (B1, 5), (3,5)
We have that in 1 out of the 6 events, Miguel wins 2$ and in five out of the 6 events, he loses one. The expected value of this bet is: 1/6*2+5/6*(-1)=-3/6=-0.5$. In general, the expected value of the bet is the sum of taking the probabilities of the outcome multiplied by the outcome; here, there is a 1/6 probability of getting the same 2 chips and so on. On average, Miguel loses half a dollar every time he plays.
Are the following figures similar?
Rectangles ABCD and EFGH are shown. BC equals 50, CD equals 20, FG equals 42, GH equals 12. Angles ABC, EFG, BCD and FGH are marked congruent.
a) Yes; the corresponding angles are congruent.
b) No; the corresponding angles are not congruent.
c) Yes; the corresponding sides are proportional.
d) No; the corresponding sides are not proportional.
Answers
2.a)yes, b)no, c)yes, d)no. -I'd say you did good..
Answer:
the answer is 1.0 i believe
Answers
Answer:
$20.43 is how much tip was
Step-by-step explanation:
27% >>> .27
.27 * 75.68 = 20.43 tip
Bonus: $96.11 is the all out total
Answers
Answers
7.92 g/cm³ is the density of the iron sheet.
Density is calculated by the formula:
= Mass / Volume
The mass here is 28.5 g
The Volume is:
= Volume of water after iron shot added - Volume before shot added
= 49.10 - 45.50
= 3.6 mL
The units for density is g / cm³ so you need to convert the mL to cm³.
1 cm³ = 1 mL
3.6 mL is therefore 3.6 cm³.
Density is:
= 28.5 / 3.6
= 7.92 g / cm³
In conclusion, the density of the iron shot is 7.92 g /cm³.
Find out more at brainly.com/question/8287765.
1) we have to calculate the iron volume in liters.
iron volume=second level - first level=49.10 ml-45.50 ml=3.6 ml
3.6 ml=3.6 ml(1 liter / 1000 ml)=0.0036 liters
2) we calculate the mass iron in kg.
28.5 g=28.5 g(1 kg /1000 g)=0.0285 kg.
2) we calculate the density of iron.
density=0.0285 kg / 0.0036 liters=7.92 kg/L
7.92 kg/l=7.92 kg/L(1000 g/1Kg)(1000 cm³/1 L)=7.92 g/cm³.
answer: From this information the Iron density is 7.92 Kg/L or 7.92 g/cm³.
Answers
Answer: 1 1/5
Step-by-step explanation: Convert 1/4 into a decimal (.25) then find the percent of that decimal (25) simplify 30 (30/5) and 25 (25/5) then converted the fraction into a mixed number (1 1/5).