60% of 300 = 300 / 100 = 3 x 60 = 180. He gave 180 cards to his brother.
The volume of the cone with the given parameters is calculated as approximately: 19.17 cubic units.
<h3>How to Find the Volume of a Cone?</h3>
Volume = 1/3πr²h
Given the following:
- Diameter = 4 units
- Radius (r) = diameter/2 = 4/2 = 2 units
- Slant height (l) = 5 units
- Height (h) = √(5² - 2²) = 4.58 units
Volume of the cone = 1/3π(2²)(4.58)
Volume of the cone = 19.17 cubic units.
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So before we can solve using the quadratic formula, we have to set the equation to zero. We can do that by adding 2 on both sides of the equation
Now we can use the quadratic formula, which is , with a=x^2 coefficient, b=x coefficient, and c=constant. We can form the equation as such:
Firstly, solve the exponents and the multiplications:
Next, do the addition within the radicals (these will be your exact solutions. but I'll solve for the decimal form as well.):
Next, solve for the rest on your calculator, and your answers will be (rounded to the thousandths) y = -0.463, 0.863
Answer:
A
Step-by-step explanation:
option A has two linear equations that intersect at one point
option B has two linear equations that are parallel and do not intersect
option C has one linear equation and an absolute value equation that intersect at two points
option D has one linear equation and a quadratic equation that intersect at two points