Answer: Last Option
Step-by-step explanation:
By definition the sum of the internal angles of a triangle must always be equal to 180 °.
This means that:
Now we solve the equation for the variable x
We subtract 12 in both barks of the equation
Divide by 3 on both sides of the equation
Finally the measure of angle ABC is: (56-5)° = 51°
170 quarts/2 hours = 85 quarts/hour
85 quarts/hour * 36 hours = 3060 quarts
85 quarts/hour * 24 hours = 2040 quarts
Yes, y=-9x is proportional
Answer:
4 pitches
Step-by-step explanation:
if a cylinder with height 9 inches and radius r is filled with water, it can fill a certain pitcher. how many of these pitchers can a cylinder with height 9 inches and radius 2r fill? explain how you know.
Solution:
The volume of a cylinder is given by:
V = πr²h;
where V is the volume, r is the radius of the cylinder and h is the height of the cylinder.
A cylinder with height 9 inches and radius r can fill a certain pitcher. Therefore the volume of the cylinder is:
V = πr²h = πr²(9) = 9πr²
V = volume of pitcher = volume of cylinder with radius r = 9πr²
For a cylinder with height 9 inches and radius 2r its volume is:
V2 = πr²h = π(2r)²(9) = 36πr²
Therefore, the number of pitchers a cylinder with height 9 inches and radius 2r can fill is:
number of pitches = 36πr² / 9πr² = 4
Therefore a cylinder with height 9 inches and radius 2r can fill 4 pitches.
Answer:
0
Step-by-step explanation:
Given the points J (1,-10) and K (7, 2)
From the section formula
The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is obtained using the formula:
The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.
