<span>the answer is (2x)3.</span>
Gratuity is the total tip given.
The tip is directly proportional to total cost:
18/0.20 = x/1.00
$90
Triangle on the right is 30 60 90 triangle
The ratio of short leg : long leg : hypotenuse = a : a√3 : 2a
Given long leg = 8√2
so short leg = 8√2 / √3 = 8√2 *√3 / √3 *√3 = 8√6/ 3
Hypo = 2 (8√6/ 3) = 16√6/ 3
The triangle on the left is 45 45 90 triangle
Ratio of leg : hypotenuse = a : a√2
The hypotenuse of triangle on the right is the leg of triangle on the left
so a = 16√6/ 3
Hypotenuse, x = (16√6/ 3) √2 = 16√12 / 3 = 32√3 / 3
Answer is B.
32√3 / 3
Answer:
1820
Step-by-step explanation:
The sum of the first n terms of a geometric series with common ratio r and first term a is:
a(1-r^n)/(1-r). Plugging this in 5(1-3^6)/(1-3)=1820
Answer: 110 square cm
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Explanation:
All sides of a regular polygon are the same length. So the bottom side is also 8 cm.
Draw lines from the center to each vertex of the pentagon. Five triangles form. Each triangle has a base of 8 and a height of 5.5 (since all five triangles are congruent)
area of one triangle = 0.5*base*height = 0.5*8*5.5 = 22
area of five triangles = 5*(area of one triangle) = 5*22 = 110
