You have to build an equation to find the answer,
angles in a straight line add upto 180°
so your equation would be,
12x+30°=180°
-30 -30
=12x=150°
÷12 ÷12
=x=12.5°
now find the measures of the angles by using 12.5 as x.
angle EAF= 2x
=2×12.5
=25° degrees
angle DAE= 4x
=4×12.5
=50°degrees
angle CAD=6x
=6×12.5
=75°degrees
check,
30+25+50+75=180°degrees
hope this helps.......
Exact Form - 5/12
Decimal Form - 0.41666666...
First, subtract 14 from both sides. then, divide both sides by two to get X=4
Answer:
LT
Step-by-step explanation:
This is not 100% but I think this is the answer
Volume of the cone = 1/3 pi * 3^2 * 4 = 12pi
Volume of the hemisphere = 4/3 pi 3^3 * 1/2 = 18pi
So the volume of the toy = 12pi + 18pi = 30pi = 94.25 cm^3 to nearest hundredth Answer
Surface area of hemisphere = 1/2 * 4 pi 3^2 = 18pi
Lateral Surface area of the cone = pi r l where l = slant height of the cone
Now l= sqrt ( 4^2 + 3^2) = sqrt25 = 5
So lateral S A = 3 * 5 * pi = 15pi
Surface area of the toy = 18pi + 15pi = 33pi = 103.67 cm^2 ( nearest hundredth) Answer
