1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
gizmo_the_mogwai [7]
2 years ago
12

29.

Mathematics
2 answers:
just olya [345]2 years ago
8 0
An apothem is a line drawn from the centerpoint of the polygon to one side of the polygon. There is a formula for area in terms of apothem:

A = (1/2)*(Perimeter)*(Apothem)

The perimeter of the regular hexagon is just the length of one side multiplied with the number of sides. Since a hexagon has 6 sides,

P = 6(15) = 90in

A = 1/2 * 90 * 13
A = 585 square inches
igomit [66]2 years ago
8 0

Answer:

Option 1st is correct

585 \text{in}^2

Step-by-step explanation:

Area(A) of a regular hexagon is given by:

A = \frac{1}{2}P \cdot a           ....[1]

where,

P is the perimeter and a is the apothem of the regular hexagon.

As per the statement:

An apothem 13 inches long and a side 15 inches long.

⇒a = 13 inches and side = 15 inches

Perimeter of hexagon(P) = 6s ; where s is the side

⇒P = 6(15) = 90 inches

Substitute the given values in [1] we have;

A = \frac{1}{2} \cdot 90 \cdot 13

Simplify:

A = 585 square inches.

Therefore,  the area of a regular hexagon with an apothem 13 inches long and a side 15 inches long is, 585 in^2

You might be interested in
fidel can mow the lawn in 30 minutes and Reu can mow the lawn in 60 minutes. How long will it take for them to mow the lawn toge
Artist 52 [7]

Answer:

It would take about 2 hours or 120 minutes

4 0
3 years ago
If using the method of completing the square to solve the quadratic equation x2 - 6x – 7 = 0, which number would have to be adde
Vanyuwa [196]

Answer:

(-3)^2

Step-by-step explanation:

You add 7 on both sides, giving you x^2 - 6x = 7

Then, take half of b, and square it. Giving you x^2 - 6x +(-3)^2 = 7

The answer will be (-3)^2 for this question, but this is not the full solution.

Hope this helped. Good luck on the rest!

3 0
2 years ago
Explain what happens to the decimal point in a whole number when you divide it by a power of 10 use this problem with your expla
MatroZZZ [7]
The demical point go's straight up
3 0
3 years ago
Six men are aboard the International Space Station.
kolezko [41]
There are officially two people aboard the space station
Answer: 2
8 0
3 years ago
Write 4.625 as a mixed number in a simplest form
Scorpion4ik [409]
The whole part will be the 4. The fraction part will be the decimal. That converts to the fraction 25/40. Therefore, 4.625 as a mixed number is 4 and 25/40.
3 0
3 years ago
Other questions:
  • 5/3v = 125/7<br> PLEASE HELP
    12·1 answer
  • How many outfits can you get from 5 suits, 7 shirts, 4 ties and 6 hats
    7·1 answer
  • Sally wants to add to her collection of seashells. She currently has 100 seashells.
    11·2 answers
  • David measured the height of a window frame as 5.61 feet, but the actual height was 6 feet. What is the percentage of error in D
    15·2 answers
  • Penelope is going to invest $23,000 and leave it in an account for 11 years. Assuming the interest is compounded continuously, w
    14·1 answer
  • Please show your work
    12·1 answer
  • Please help.<br> Algebra.
    13·1 answer
  • Directions: Solve for x.
    11·1 answer
  • When solving the given equation, what is the first step?
    10·2 answers
  • 1. Create a polynomial function, f(x), with the following characteristics.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!