Given:
Equilateral triangle: height = 2.6 inches ; base or side length = 3 inches
Rectangle: length = 6 inches ; width = 3 inches
1 name plate has 2 equilateral triangle and 3 rectangles.
Surface area of an equilateral triangle = √3/4 * a² = √3/4 * 3² = 3.9 in²
3.9 in² x 2 = 7.8 in²
Surface area of a rectangle = 6 in * 3 in = 18 in²
18 in² x 3 = 54 in²
7.8 in² + 54 in² = 61.8 in²
61.8 in² x 30 nameplates = 1,854 in² Choice A.
Since they are equal to 90 degrees. (complimentary angles)
6x-11+7x+10= 90
Combine like terms.
13x-1= 90
Add one to both sides.
13x= 91
x= 7
Plug that into the b.
7(7)+10
49+10
59
I hope this helps!
~kaikers
Answer:428.67
Step-by-step explanation:
πr (r+square root(h2+r2) plug in the numbers