Answer:
π(3 in)²(10 in) -8(4/3)(1.5 in)³
Step-by-step explanation:
The volume of a cylinder with a radius of 3 inches and a height of 10 inches is ...
V = πr²h = π(3 in)²(10 in)
The volume of 8 spheres with a radius of 1.5 inches is ...
V = 8(4/3)πr³ = 8(4/3)π(1.5 in)³
The volume occupied by the water is the volume of the cylinder not occupied by the spheres. So, it is ...
V = π(3 in)²(10 in) -8(4/3)(1.5 in)³ . . . . . . matches the 4th choice
Answer: I believe it’s “x is greater than or equal to 5.”
Let A be the angle of 79 degrees
B be the angle of (5y-4) degrees
C be the angle of (x+5) degrees
D be the angle of (9z-7) degrees
According to the property of parallelogram
Opposite angles are equal
We get, angle A = angle C
Since angle A = 79 degrees
And angle C = (x+5) degrees
We get, x+5=79
=> x=79-5=74.
Angle B = Angle D
(5y-4)=(9z-7)
Since there’s two variables here, we can’t use the property of “opposite angles are equivalent”
We have to use another property which is adjacent angles are equal
Therefore, we can find angle D
Angle D + Angle A=180
=> 9z-7 =180-79
z=108/9
z=12
Since (5y-4)=(9z-7)
Substitute z=12 in
We get, 5y-4=101
y= 105/5
y= 21
Therefore, x=74, y=21 and z=12.
The answer is x= -5 ...explained... -2x + 5 -35x= 190...-37x +5 = 190 ... now subtract 190-5 = 185... divide 185 by - 37 and get -5
We keep the 2x^2 because we can only subtract something from that if it also is squared. From there, we subtract the 7x from 2x^2-11. Since there is no previous x's in the 2x^2-11, we just make it -7x. So, without even continuing the problem, we see that A) is the correct answer because it is the only one with -7x.
