<span>3pi is an irrational number; the other options are not.</span>
Answer:

Step-by-step explanation:
The formula for the volume of a cylinder is
V = πr²h
Data:
V = 20 000 gal
h = 34.5 ft
Calculations:
I assume the gasoline tank is lying on its side, so we are asked to find the diameter of the tank.
(a) Convert the volume to cubic feet
V= 20 000 gal × (1 ft³/7.48 gal) = 2674 ft³
(b) Calculate the radius of the tank
V = πr²h
r² = V/(πh) = 2674/(π × 34.5) = 24.67 ft²
r = √24.67 = 4.967 ft
(c) Calculate the diameter of the tank
d = 2r = 9.934 ft
(d) Calculate the length of the measuring pole
l = d + 1 = 9.934 + 1 = 
Figure out the radius then divide it by two. The diameter is one end of a circle to another.
Answer:
123.75 g
Step-by-step explanation:
You have three unknowns: protein (p), carbohydrate (c), and fat (f)
You need three equations for the three unknowns. They are
(1) p + c + f = 725
(2) 4p + 4c + 9f = 3500
(3) 4p + 9f = 0.45(3500) = 1575
Subtract (3) from (2)
4c = 1925
(4) c = 481.25
Substitute (4) into (1)
p + 481.25 + f = 725
(5) p + f = 243.75
Multiply (5) by 4
(6) 4p + 4f = 975
Subtract (6) from (3)
5f = 600
(7) f = 120
Substitute (7) into (3)
4p + 1080 = 1575
4p = 495
p = 123.75
The diet will include 123.75 g of protein.
Check:
It checks.
<u>perpendicular lines</u>
Find the equation of the line that is
perpendicular to y = −4x + 10
and passes though the point (7,2)
The slope of y=−4x+10 is: −4
The negative reciprocal of that slope is:
m = −1−4 = 14
So the perpendicular line will have a slope of 1/4:
y − y1 = (1/4)(x − x1)
And now put in the point (7,2):
y − 2 = (1/4)(x − 7)
And that answer is OK, but let's also put it in "y=mx+b" form:
y − 2 = x/4 − 7/4
y = x/4 + 1/4
Answer:
I think it's neither parallel nor perpendicular.
step by step explanation:
- Two lines will be parallel when their slopes are equal, and two lines will be perpendicular when their slopes are negative reciprocals of each other. Our slopes for these two equations are the coefficient for the x value. <u>Both slopes are </u>not equal so these lines are not parallel.
- <u>Perpendicular Lines</u>
Two lines are Perpendicular when they meet at a right angle (90°).