Find the area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards long
Answers
The area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards longis 374.4 yard^2.
What is a regular hexagon?
A regular hexagon is defined as a closed shape consisting of six equal sides and six equal angles. The sum of the measure of angles of a regular hexagon is 120 degrees.
The area of a regular hexagon =
It is given that apothem is 10.4 yards and side is 12 yards long.
The area of a regular hexagon =
= 6× 10.4 × (12/2)
= 374.4 yard^2
Thus the area of a regular hexagon is 374.4 yard^2.
Learn more about regular hexagons;
So the area, A, of the regular hexagon is 6 x the area of one triangle
The area of a triangle is half the base times the height
The height of a triangle is the apothem of the hexagon and the base is the side of the hexagon.
A = 6* 10.4 * (12/2) yard^2 = 374.4 yard^2
Related Questions
A 12-punce box of cereal cost $2.29, What is the unit price to the nearest tenth of a cent/
Faye’s bank charges her a $2.25 service fee every time she uses an out-of-network ATM. If Faye uses an out-of-network ATM twice a week, how much money does she pay in service fees every year?
1. Find the Least Common Multiple of these two monomials:See picture
Jess observed that 60% of the people at a mall on a particular day shopped for clothes. If 2500 people at the mall did not shop for clothes that day, the number of people who shopped for clothes that day was ______. (only put numeric values, no other symbols)
3(36)
36/3
3+36
Answers
Answer:
C: 36/3
Step-by-step explanation:
36 ÷ 3 = 12
We solve by using the total amount of dollars and dividing by how many CDs there are
Answer:C: 36/3
Step-by-step explanation:
36 ÷ 3 = 12
We solve by using the total amount of dollars and dividing by how many CDs there are
Answers
Answer:
- domain (-∞, ∞)
- range (-∞, 4]
- increasing (-∞, 0)
- decreasing (0, ∞)
- constant (only at x=0, not on any interval)
Step-by-step explanation:
The graph is of the equation y = -x^2 +4. It is a polynomial of even degree, so has a domain of all real numbers: (-∞, ∞).
The vertical extent of the graph includes y=4 and all numbers less than that:
range: (-∞, 4]
The graph is increasing to the left of its vertex at x=0, decreasing to the right.
increasing (-∞, 0); decreasing (0, ∞)
There is no interval on which the function is constant. It has a horizontal tangent at x=0, but a single point does not constitute an interval.
Final answer:
The domain of a function refers to all possible inputs while the range comprises all potential outputs. The function increases, decreases, or remains constant when the respective slope is positive, negative, or zero. I've provided an explanation based on the indication of the respective slopes described in your problem.
Explanation:
To determine the domain, range, and intervals of increase, decrease, or constant for a function, we need to examine the specific input and output values as well as the curvature of the function.
Domain of a function refers to all possible input values (x-values). For example, in the probability distribution function (PDF), the domain may include all numerical values or could be expressed through a non-numerical set such as different hair colors. From the provided information, I can deduce that the domain of X is {English, Mathematics, ...} - a list of all majors offered at the university, indicating all the possible inputs of this function. The domain of Y and Z are numerical, from zero up to an upper limit.
Range of a function is all the potential output values (y-values). The range is usually derived from the domain values after undergoing certain transformations via the function. Unfortunately, without further specifics about the function, I can't provide a conclusive range.
For intervals of increase, decrease, or constant, you look at the slope of the function. A function is increasing on an interval if the y-value increases as the x-value increases. Contrary to this, a function is decreasing on an interval if the y-value decreases as the x-value increases. If the y-value remains constant as the x-value varies, the function is constant on that interval. Different parts of your provided solutions indicate the function starts with positive slope (increasing), then levels off (becomes constant).
Learn more about Function Analysis here:
#SPJ12
Answers
and however many times that is, the machine will do that many thousand tasks.
It's just a simple division problem.
2 hours = 7,200 seconds
(7.2 x 10^3 seconds) / (4.3 x 10^-2 seconds) = 1.674 418 605 x 10^5 times (rounded)
The machine completes 1.674 418 60 x 10^8 tasks, and it's working on
the next one when the two hours expire.
y > 1
y < 1
y ≤ 1
Answers
farm's rice production (in kilograms):
Enter the correct answer.
Harvest
Kilograms
DONE
?
اس اس ام اس
350
700
1400
2800
Answers
Answer:
5600
Step-by-step explanation:
It seems to be multiplying by 2 each harvest, 350*2=700, 700*2=1400, and 1400*2=2800, so logically, the next harvest will be 2800*2, which is 5600.
Ukuleles surfboards
Jack 12. 4
Jill 25. 5
11. Is this an output problem or an input problem
12. What is Jacks opportunity cost of producing
1 ukulele? 3
13. What is Jacks opportunity cost of
producing 1 Surfboard?
.3
14. What is jills opportunity cost of producing
1 ukulele?
5
15. What is jills opportunity cost of
producing 1 surfboard?
.2
16. Who has the absolute advantage in
producing ukuleles?
Jill
17. Who has the absolute advantage in
producing surboards?
jack
18. Who has the comparative advantage in
producing ukuleles?
Jill
19. Who has the comparative advantage in
producing Surfboards ?jack
Answers
Answer:
11. This is an input problem. The hours needed to produce one unit represent the input required to produce each unit of ukuleles and surfboards.
12. Jack's opportunity cost of producing 1 ukulele is 3 surfboards. This means that if Jack decides to produce 1 ukulele, he foregoes the opportunity to produce 3 surfboards.
13. Jack's opportunity cost of producing 1 surfboard is 0.3 ukuleles. This means that if Jack decides to produce 1 surfboard, he foregoes the opportunity to produce 0.3 ukuleles.
14. Jill's opportunity cost of producing 1 ukulele is 5 surfboards. This means that if Jill decides to produce 1 ukulele, she foregoes the opportunity to produce 5 surfboards.
15. Jill's opportunity cost of producing 1 surfboard is 0.2 ukuleles. This means that if Jill decides to produce 1 surfboard, she foregoes the opportunity to produce 0.2 ukuleles.
16. Jill has the absolute advantage in producing ukuleles because she can produce 1 ukulele in 25 hours, while Jack requires 12 hours to produce 1 ukulele.
17. Jack has the absolute advantage in producing surfboards because he can produce 1 surfboard in 4 hours, while Jill requires 5 hours to produce 1 surfboard.
18. Jill has the comparative advantage in producing ukuleles because her opportunity cost of producing 1 ukulele (5 surfboards) is lower than Jack's opportunity cost of producing 1 ukulele (3 surfboards).
19. Jack has the comparative advantage in producing surfboards because his opportunity cost of producing 1 surfboard (0.3 ukuleles) is lower than Jill's opportunity cost of producing 1 surfboard (0.2 ukuleles).