Answer: The slope of the line is 
Step-by-step explanation:
The slope of a line can be calculated with the following formula:
Then, given the points 
and 
, you can identify that:
Knowing these values you can substitute them into the formula for calculate the slope:
Finally, evaluating, you get that the slope of that line is:
Answer:
The answer to your question is 600 cups
Step-by-step explanation:
Data
Cylinder Cup
diameter = 30 in diameter = 3 in
height = 24 in height = 4 in
Process
1.- Calculate the volume of the cylinder
Volume = πr²h
-Substitution
Volume = (3.14)(30/2)²(24)
-Simplification
Volume = (3.14)(15)²(24)
Volume = (3.14)(225)(24)
-Result
Volume = 16959 in³
2.- Calculate the volume of the cup
Volume = (3.14)(3/2)²(4)
-Simplification
Volume = (3.14)(1.5)²(4)
Volume = (3.14)(2.25)(4)
-Result
Volume = 28.26 in³
3.- Divide the volume of the cylinder by the volume of the cup
Number of full cups = 16959 in³ / 28.26 in³
Number of full cups = 600
Answer:
(c) 13.2
Step-by-step explanation:
The sum of angles in a triangle is 180°, so angle C is ...
C = 180° -A -B
C = 180° -16° -49° = 115°
The measure of side c can be found from the Law of Sines:
c/sin(C) = a/sin(A)
c = a·sin(C)/sin(A) = 4·sin(115°)/sin(16°)
c ≈ 13.2
Answer:
h = b(√3)/2
Step-by-step explanation:
The ratio of base to height of an equilateral triangle is ...
... b/h = 2/√3
Multiplying both sides of the equation by (√3)h/2, we get
.. h = b(√3)/2 . . . . . . your equation with h as the subject
Answer:
x-15).8 this is the answer
Step-by-step explanation:
