Answer:
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Step-by-step explanation:
We have two questions, but we need to find the volume of the spherical tank first.
So the formula we will use to find the volume is:
(4/3)πr³=V
Let's fill in the information we have and solve. We will be using 3.14 for pi.
(4/3)(3.14)6³
(4/3)(3.14)(216)
4.1867×216
I'll be using the repeating decimal for 4.1867, I rounded to 7, but there is a repeating 6.
904.32
So the volume is 904.32 yards³ (or 904.78 if using the full pi)
We have to multiply the volume by 7.15.
904.32×7.15
6,465.89
It will cost $6,465.89 to fill the tank with the liquid.
Answer:
2√5
Step-by-step explanation:
d = √(x2 - x1)² + (y2 - y1)²
= √[1 - (-1)]² + [3 - (-1)]
= √(2)² + (4)²
= √(4) + (16)
= √20
= 2√5
Answer:
y= -5
Step-by-step explanation:
x=0 is a vertical graph hence the perpendicular graph would be a horizontal line, a y= ____ graph.
Since it passes through the point (-2, -5),
the equation of the line is y= -5.
This would be in slope- intercept form since the gradient of horizontal lines is zero.
y= mx +c, where m is the gradient and c is the y-intercept.
Given that gradient =0, m=0
y= 0x +c
when x= -2, y= -5,
-5= 0(-2) +c
-5= c
c= -5
Thus the equation is y= -5.
2x + y = 5
x − 2y = 10
y = 5 − 2x
x − 2(5 − 2x) = 10
x − 10 + 4x = 10
5x − 10 = 10
<em>add 10 to each side</em>
<em>5x-10+10 = 10 + 10</em>
<em>5x=20</em>
5x = 0 <em>this is the error</em>
He needs to add 10 to each side
