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:
x=23
Step-by-step explanation:
Hello There!
Remember the exterior angle of a triangle is equal to the opposite interior angles of a triangle
so
137-x=2x+3x-1
now we can solve for x
step 1 combine like terms
2x+3x=5x
now we have
137-x=5x-1
step 2 add 1 to each side
-1+1 cancels out
137+1=138
138-x=5x
step 2 add x to each side
-x+x cancels out
5x+x=6x
now we have
138=6x
step 3 divide each side by 6
6x/6=x
138/6=23
we´re left with x=23
Answer:
33°
Step-by-step explanation:
11x = 1/2(x+63)
22x = x + 63
21x = 63
x = 3
IHJ = 11x
= 11(3) = 33°
12 - 3 =9 and -5i+4i=1i or i so it is {9-i}
