All categories

2 years ago

Geometry area question. Please help!

Mathematics

1 answer:

timurjin [86]2 years ago

5 0

You can calculate polygon area with only apothem OR side length.

apothem only
area = apothem^2 * 6 * tan (180/6)
area = 10.4^2 * 6 * 0.57735
area = 108.16 * 3.4641 
area = 374.677056 square yards

side length only
area = 6 * 12^2 * / 4*tan(30)
area = 864 / 4 * 0.57735
area = 864 / 2.3094 
area = 374.1231488698 square yards

If apothem and side length were given with more precision, the answers would be closer.

Source:
http://www.1728.org/polygon.htm

You might be interested in

QUESTION IS DOW BELOW 5 POINTS EACH PLEASE HELP PLEASE HELP PLEASE HELP

masha68 [24]

The central angle in the circle is ∠DAC,major arc is BED, minor arc is ADC and BC=(5π*BD)/18.

Given that BD is diameter of the circle and angle BAC is 100°.

We are required to find the central angle, major arc, minor arc, m BEC, BC.

Angle is basically finding out the intensity of inclination of something on the surface.

In the circle central angles are many like BAC and CAD. We can write CAD as DAC also.

Major arc of a circle is that arc whose length is larger than all other arcs in the circle.

In our circle the major arc is arc BED.

Minor arc of a circle is that arc whose length is smaller.

In our circle the minor arc is arc ADC.

We know that arc's length is 2πr(Θ/360)

In this way BC=2π*(BD/2)*100/360

=(5π*BD)/18

We cannot find angle BEC.

Hence the central angle in the circle is ∠DAC,major arc is BED, minor arc is ADC and BC=(5π*BA)/18.

Learn more about angles at brainly.com/question/25716982

#SPJ1

7 0

1 year ago

Enter the correct value so that each expression is a perfect square trinomial

myrzilka [38]

Answer:

Step-by-step explanation:

1). x² - 10x + a²

By using the formula of (a - b)² = a² - 2ab + b²

x² - 2(5)x + a²

Therefore, for a perfect square of the expression a should be equal to 5.

Therefore, (x² - 10x + 25) will be the answer.

2). x² + 2ax + 36

= x² + 2(a)x + 6²

For a perfect square of the given expression value of a should be 6.

x² + 2(a)x + 6² = x² + 2(6)x + 6²

= (x + 6)²

Therefore, x² + 12x + 36 will be the answer.

3). $x^{2}+\frac{1}{2}x+a^2$

$x^{2}+2(\frac{1}{4})x+a^2$

To make this expression a perfect square,

a² = $(\frac{1}{4})^2$

$x^{2}+2(\frac{1}{4})x+(\frac{1}{4})^2$ = $(x+\frac{1}{4})^2$

Therefore, the missing number will be $\frac{1}{16}$ .

5 0

2 years ago

What is the measure of an interior angle of a regular 12-gon?

gavmur [86]

Answer:

The measure of an interior angle of a regular 12-gon is 150°.

Hence, option 'C' is correct.

Step-by-step explanation:

We need to determine the measure of an interior angle of a regular 12-gon.

We know that the number of sides in a regular 12-gon = n = 12

Thus,

Using the formula to determine the measure of an interior angle of a regular 12-gon is given by

(n - 2) × 180° = n × interior angle

substitute n = 12

(12 - 2) × 180 = 12 × interior angle

10 × 180 = 12 × interior angle

Interior angle = (10 × 180) / 12

= 1800 / 12

= 150°

Therefore, the measure of an interior angle of a regular 12-gon is 150°.

Hence, option 'C' is correct.

4 0

2 years ago

Im very confused these

Maru [420]

Here are the ordered pairs

(4,3)
(8,6)
(-4,-3)

Hope this helped?

8 0

2 years ago

Read 2 more answers

the area of a kite is 384 square feet. one diagonal is three times as long as the other diagonal. find the length of each diagon

lys-0071 [83]

The lengths of the diagonals are 16 and 48 feet.

To find the area of a kite, you multiply the lengths of the diagonals by each other and divide by 2. All we need to do is fill in the information in the formula and solve for the missing side.

A = pq/2

384 = (x(3x))/2
768 = 3x^2
256 = x^2
16 = x

Now, just multiply this diagonal of 16 by 3 to find the other diagonal of 48.

8 0

2 years ago