Answer:
k would be 55
Step-by-step explanation:
35+90=125 and assuming that you're looking for a supplementary angle, the total must equal 180 so subtract 180-125 and you get k=55
When you represent intervals on the number line, you're including full dots, excluding empty dots, and you're considering numbers highlighted by the line.
In the first case, you've highlighted everything before -2 (full dot, thus included), and everything after 1 (empty dot, excluded). So, the set would be
or, in interval notation,
![(-\infty,-2]\cup (1,\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C-2%5D%5Ccup%20%281%2C%5Cinfty%29)
In the second case, you are looking for all numbers between -3 and 5. This interval is symmetric with respect to 1: you're considering all numbers that are at most 4 units away from 1, both to the left and to the right.
This means that the difference between your numbers at 1 must be at most 4, which is modelled by
where the absolute values guarantees that you'll pick numbers to the left and to the right of 1.
Answer: The volume is 288π .
Step-by-step explanation:
V= 4/3 *n*r^3
V = 4/3*n * 6^3
v=4/3 *n * 216
v= 288n
Answer:
Car B has the better fuel economy.
Step-by-step explanation:
Calculate the fuel consumption for the two cars:
Car A: (450 km) / (40.5 L) = 1.11 km per L
Car B: (220 km) / (18.7 L) = 1.18 km per L
Car B goes further on one L of gasoline than Car A.
Nine times the original volume
Step-by-step explanation:
Let the length, width and height of the rectangular prism be 'l' 'w' and 'h'.
The volume of the rectangular prism is given by,
V = W x l x h
The original volume of the rectangular prism is,
V = wlh
Here the length is 1.5 the original length
So, l = 1.5 x l = (1.5l)
And the with is doubled. So,
W = 2W
The height is tripled. So,
h = 3h
Volume of the new rectangular prism is,
V = (1.5l) (2w) (3h)
V = 9 wlh
We know that wlh is the original volume of the rectangular prism.
So the new volume is 9 times the original volume.
