38.9
..........
Bcz 6 >5
:)
Answer:
314 in² (nearest whole number)
Step-by-step explanation:
<u>Radius of a regular polygon</u>: The distance from the <u>center</u> of the polygon to any vertex. The radius of a hexagon is equal to the length of one side.
Therefore, from inspection of the given diagram:
- radius = 11 in ⇒ side length = 11 in
To find the area of a regular polygon, we first need to calculate the apothem. The <u>apothem</u> is the line drawn from the center of the polygon to the midpoint of one of its sides.

where:
- s = length of one side
- n = number of sides
Given:
Substitute the given values into the formula and solve for a:

<u>Area of a Regular Polygon</u>

where:
- n = number of sides
- s = length of one side
- a = apothem
Given:
Substitute the given values into the formula and solve for A:



Answer:
The circumference of the cookie is 37.68 inches.
Step-by-step explanation:
We have,
The area of a cookie is 113.04 square inches.
It is circular in shape. The area of circle is given by :

r is radius of circle

The circumference of circular shaped object is given by :

So, the circumference of the cookie is 37.68 inches.
We can Notice that ∠ABC = ∠ACB
We know that if Two Angles are Equal then Angles Corresponding to those Sides are also Equal.
⇒ AB = AC
⇒ 4x + 4 = 6x - 14
⇒ 6x - 4x = 4 + 14
⇒ 2x = 18
⇒ x = 9
⇒ Length of BC = 2x + 7 = 2(9) + 7 = 18 + 7 = 25 units
Answer:
The answer is below
Step-by-step explanation:
The question is not complete. The complete question is:
The 12 foot long bed of a dump truck loaded with debris must rise an angle of 30 degrees before the debris will spill out. Approximately how high must the front of the bed rise for the debris to spill out.
Solution:
Let x be the height of the front of the bed rise needed to be raised for the debris to spill out. We can find x using trigonometric identities. That is:
sin θ = opposite / hypotenuse
Using trigonometric identities, we can get that:
sin(30) = x / 12
This gives:
0.5 = x / 12
Cross multiplying the terms to get:
x = 12 * 0.5
x = 6 ft
Therefore the front of the bed rise must be raised 6 ft for the debris to spill out.