All categories

2 years ago

A regular hexagon has an apothem of 14.7 inches and a perimeter of 101.8 inches. What is the area of the hexagon?

Mathematics

2 answers:

Neporo4naja [7]2 years ago

7 0

<u>Answer</u>

748.23 in²

<u>Explanation</u>

Apothem a line from the centre of a regular polygon at right angles to any of its sides. This can be said to be the height of the triangle in a polygon.

The base of the hexagon = 101.8 ÷ 6

= 19.96666..

= 19.9667 inches

Area of the hexagon = 1/2 × height × base length × 6

= 1/2 × 14.7 × 19.9667 × 6

= 748.23 in²

Mariana [72]2 years ago

7 0

Answer:

748.23

Step-by-step explanation:

its good

You might be interested in

You are taking a quiz that has 9 multiple-choice questions. If each question has 4 possible answers, how many different ways are

11111nata11111 [884]

Answer:

9 questions x 4 answers per question

9x4= 36

6 0

2 years ago

Read 2 more answers

What are two numbers that when multiplied equal -30 and when added together equal 1?

UkoKoshka [18]

Answer:

5 and 6

Step-by-step explanation:

-5 x 6 = -30

-5 + (6) = 1

x2 + 1x - 30 = 0

(X - 5 ) (X + 6)

To summarize, since -5 and 6 multiply to -30 and add up 1, you know that the following is true:

x2 + 1x - 30 = (X - 5 ) (X + 6)

5 0

2 years ago

Read 2 more answers

A convex parabola is shown in a coordinate plane. The parabola connects the points left-parenthesis negative 4.5 comma 12 right-

spayn [35]

Since the parabola is connecting the points, it means that the points given are on the parabola or that the points are solutions of the parabola. Thus, when we substitute the points into the function, we should end up with the correct y-value.

To find the correct choice, let's test a point. An easy point to test I believe would be (-3, 0) because we should be getting 0 as a y-value. Let's test:

$A. (- 3 - 3)(3 + 4) = -42$

$B. (-3 + 3)(-3 - 4) = 0$

$C. (-3 + 2)(-3 - 4) = 7$

$D. (-3)(-3 + 12) = -27$

We can see that Choice B is the correct function, because it produces 0 when we substitute $x = - 3$ . Thus, Choice B, or (x + 3)(x - 4) is the answer.