Answer:
The discriminant is the part under the square root in the quadratic formula, b²-4ac. If it is more than 0, the equation has two real solutions. If it's less than 0, there are no solutions. If it's equal to 0, there is one solution.
Brainliest please
Step-by-step explanation:
Answer:
The volume of the solid is the volume of the prism minus the volume of the cylinder.
For the cylinder, diameter = d = 4 cm
radius = d/2 = (4 cm)/2 = 2 cm
V = volume of prism - volume of cylinder
The volume of a prism is length times width times height.
The volume of a cylinder is pi times the square of the radius times the height.
V = LWH - (pi)r^2h
V = 6 cm * 6 cm * 15 cm - (pi)(2 cm)^2(15 cm)
V = 540 cm^3 - 60pi cm^3
V = (540 - 60pi) cm^3
Answer:
80 degrees
Step-by-step explanation:
The only given angle here is angle 4, which measures 100 degrees.
<u>1) Identify angle relationships</u>
Angle 4 and angle 6 are interior angles, meaning they have a sum of 180 degrees.
<u>2) Solve for angle 6</u>
180-Angle 4=Angle 6
180-100=Angle 6
80=Angle 6
Therefore, the measure of angle 6 is 80 degrees.
I hope this helps!
Answer:
In the movie The Lion King, Simba was born into the pride lands. He was born to be the future King. His father Mufasa showed him the ways of becoming a rightful King as well as how to not be selfish with his power.
Step-by-step explanation:
I hope this helps, it's not the best.
Let 
be the volume of 20% solution, 
the volume of the 60% solution. We want a total volume of 400 mL in the final mixture, so
Each mL of either solution will contribute a corresponding concentration, and in the final mixture we want the 400 mL to have a 40% concentration, which means we should also have
Solve the system and we get 
.
