to prove that 6720. Sin 40. Sin 60. 80 equals 3 you'd have to divide 16 by 20 multiply subtract both sides by 3 which is 24x + 6x + 8x + -14 equals 40 40 + 20 equals 16 - -40 equals 80 which equals to 3
Answer: x=1
Step-by-step explanation:
You need to open up the parenthesis so you multiply every term inside the parenthesis by -7.
1. -7x + 14 + 1 = 15 -7x
2. Combine like terms -7x + 15 = 15-7x
The two sides of the equation are the same so that means that x=1
Answer:
Step-by-step explanation:
The inequality will be split into two
It is know that, if a<b<c
Then a<b and b<c
-8<2x-4<4
Apply that to this
Then,
-8<2x-4. Equation 1
Also,
2x-4<4 equation 2
Solving equation 1
-8<2x-4
Add 4 to both side of the equation
-8+4<2x-4+4
-4<2x
Divide both sides by 2
-4/2<2x/2
-2<x
Note, if a is less than b, then, b is greater than a, e.g. 4 is less than 10, this implies 10 is greater than 4
Therefore,
-2<x
Then, x greater than -2
Equation 2
2x-4<4
Add 4 to both side of the inequalities
2x-4+4<4+4
2x<8
Divide both side by 2
Then,
2x/2<8/2
x<4
Therefore x is between -2 and +4.
Check attachment for graphical solution
Answer:
1920 in³
Step-by-step explanation:
The volume of the water can be gotten by calculation the volume of the aquarium it fills/occupies.
Since the water fills to exactly three inches below the top of the aquarium, hence the height of the water in the aquarium is given as:
height of water = 13 in - 3 in = 10 in
Therefore the volume of the water in the tank is given by the formula:
Volume of water = height of water * breadth of tank * length of tank
Volume of water = 10 in * 8 in * 24 in = 1920 in³
Answer:
The number -100 is a rational number and an integer