Answer:

Step-by-step explanation:
we know that
The lateral area of the cone is equal to

where
r is the radius of the base
l is the slant height
we have

Applying the Pythagoras Theorem find the slant height

substitute in the formula

Answer:
Area of equilateral triangle = 81√3 cm²
Step-by-step explanation:
Given:
Perimeter of an equilateral triangle = 54 cm
Find:
Area of equilateral triangle
Computation:
Perimeter of an equilateral triangle = 3 x Side
54 = 3 x Side
Side of equilateral triangle = 54 / 3
Side of equilateral triangle = 18 cm
Area of equilateral triangle = [√3/4]side²
Area of equilateral triangle = [√3/4][18]²
Area of equilateral triangle = [√3/4][324]
Area of equilateral triangle = [√3][81]
Area of equilateral triangle = 81√3 cm²
Answer:
16.49
Step-by-step explanation:
21^2 - 13^2 = 272
square root 272 = 16.49
Answer:
2i x 1.50b
Step-by-step explanation:
Multiply both sides of the second equation by 4. That will give you -4x in the second equation which when added to 4x of the first equation will eliminate x.
Second equation:
-x + 3y = 6
Multiply the second equation by 4 on both sides:
-4x + 12y = 26