Yes, your answers are correct.
The volume of a cone is given by V = 1/3πr²h. Since the diameter of the first cone is 4, the radius is 2; therefore the volume is
V = 1/3π(2²)(8) = 32π/3
We divide the volume of the sink, 2000π/3, by the volume of the cone:
2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.
The diameter of the second conical cup is 8, so the radius is 4. The volume then is:
V = 1/3π(4²)(8) = 128π/3
Dividing the volume of the sink, 2000π/3, by 128π/3:
2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16
Answer:
B. 59°
Step-by-step explanation:
<AOC=77°
<BOC=?
THEREFORE,
<AOC=<BOC+<AOB
77° =7x+17+3x
77°-17=7x+3x
60=10x
x=60/10
x=6°
Now,
<BOC=7x+17
=7*6+17
=42+17
=59
Answer:
one
Step-by-step explanation:
3(x - 2) = 22 - x
3x - 6 = 22 - x
3x + x = 22 + 6
4x = 28
4x/4 = 28/4
x = 7
Ufff u need to have a little more information for us to help u buddy
∠A=36° ∠B=67° measures of a=8
in a Δ sum of all angles are 180
∠A+∠B+∠C=180
36+67+∠C=180
∠C=77
Now use law of sines
a/sinA=b/sinB=c/sinC
8/sin36=b/sin67
now u can find B and C
