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
Let's solve your equation step-by-step.<span><span>−<span>3x</span></span>=<span><span>5x</span>+8</span></span>Step 1: Subtract 5x from both sides.<span><span><span>−<span>3x</span></span>−<span>5x</span></span>=<span><span><span>5x</span>+8</span>−<span>5x</span></span></span><span><span>−<span>8x</span></span>=8</span>Step 2: Divide both sides by -8.<span><span><span>−<span>8x</span></span><span>−8</span></span>=<span>8<span>−8</span></span></span><span>x=−1 Answer =-1 I used a calculator </span>
Answer:
2A/b
Step-by-step explanation:
A=1/2(b)(h)
2A=(b)(h) Multiply both sides by 2
2A/b=h Divide both sides by b
h=2A/b
Answer:
y = -4x + 5
Step-by-step explanation:
Here, we want to get the equation of the line that passes through the given points
The general form is;
y = mx + b
where m is the slope and b is the y intercept
To find the slope, we use the slope formula
this is ;
m = (y2-y1)/(x2-x1)
(x1,y1) = (0,5)
(x2,y2) = (2,-3)
m = (-3-5)/(2-0) = -8/2 = -4
To get the y-intercept we simply substitute one of the points
But we know that the y-intercept is the y-value when x = 0
From the point we can see (0,5) which means that the y-intercept is 5
so the equation of the line is;
y = -4x + 5
2.0² * π = 12.56637...
12.56637... * 9.6 = 120.6371579...
120.6371579.. / π = 38.4
√38.4 = 6.196773354... --> the radius of circle A dialated by 9.6 = 6.2 cm
