Answer:
A
Step-by-step explanation:
In a right triangle, the side opposite to the 90 degree angle (here, side opposite to angle A) is known as the hypotenuse.
Also, the side that is "opposite" to the angle given (here side opposite is y to angle given 30 degrees) is the opposite side.
Since we want to find "opposite" and have "hypotenuse" , recalling trig ratios, we can say opposite/hypotenuse is the ratio SINE, so we can write:

We solve for y:

Since the answer choice has angles in radians, we recall 30 degrees is
radians.
Thus, the correct answer is
, or option A
Answer:
-5.
Step-by-step explanation:
f(n) = 5n + 6
Just plug in -11/5 for n:
f(-11/5) = 5 (-11/5) + 6
= -11 + 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:



20:12
i think. 20 being the number of total students to 12 which is the number of boys
Answer:
The area is 15 cm^2.
Step-by-step explanation:
Step 1: Start with the given formula.
Step 2: Then replace l and w with the given measures.
Step 3: Then do the calculation.
Step 1: A = lw
Step 2: A = (3 cm) * (5 cm)
Step 3: A = 15 cm^2
Answer: The area is 15 cm^2.