Answer:
12/5 or 2⅖
Step-by-step explanation:
2x/3 = 8/5
2x = 3 × 8/5
2x = 24/5
x = 24/5 ÷ 2
x = 12/5
Or 2⅖
To get the value of DK we use proportionality:
AK/EK=BK/KD
thus plugging the values we get:
14/17=7/KD
getting the reciprocal of getting both sides we have:
17/14=KD/7
thus
KD=17/14×7
KD=8.5
thus
Cylinder:
V = pi * r^2 * h
V = 3.14 * 9^2 * 11
Simplify exponent:
V = 3.14 * 81 * 11
Multiply:
V = 2797.74
Sphere:
V = 4/3 * pi * r^3
V = 4/3 * 3.14 * 9^3
Simplify exponent:
V = 4/3 * 3.14 * 729
Multiply:
V = 3052.08
Cone:
V = 1/3 * pi * r^2 * h
V = 1/3 * 3.14 * 12^2 * 20
Simplify exponent:
V = 1/3 * 3.14 * 144 * 20
Multiply:
V = 3014.4
So the Sphere holds the most.
Notice that 38 and 52 make a total of 90
sinA=cos(90-A)
sin38=cos52, therefore the answer is zero
