Find the area of an equi. triangle with an apothem of 2ft

Step-by-step explanation:

(1/2)(4√3ft)(6 ft) = 12√3ft2.

Step-by-step explanation:

For an equilateral triangle, the apothem is 1/3 of the height, so the height is 3 times 2 ft or 6 ft.

The base of the equilateral triangle is the apothem times 2√3 or 2ft times 2√3 = 4√3ft.

So the area of the triangle is (1/2)(base)(height) or

(1/2)(4√3ft)(6 ft) = 12√3ft2.

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.