Step-by-step explanation:
A positive discriminant indicates that the quadratic has two distinct real number solutions. A discriminant of zero indicates that the quadratic has a repeated real number solution. A negative discriminant indicates that neither of the solutions are real numbers.
Answer:
(Part A) The formula for finding the area of a circle is πr². (Part B) The radius of that circle would be 5.27 m. 10.54 m cut in half would be 5.27 m. (Part C) The area of this circle would be approx. 87.21 m². Using the formula from Part A, first square 5.27. That will equal 27.7729. Now, multiply that by 3.14 (I used that value for π) to get 87.206906 m². However, we have to round to the nearest hundredth, so 87.21 m² is the answer.
Answer:
Volume=21.195 cubic inch
Step-by-step explanation:
The volume of a cylinder varies jointly with its height and the square of the radius is expressed as
V∝hr^2
Introducing our constant of proportionality,K we have that
V =Khr^2
Given that A 7.85 cubic inch spice container is 2.5 inches tall and has a radius of 1 inch. We have that
V =Khr^2
7.85=K 2.5 X 1^2
K=7.85/2.5 x1
K=3.14
Given that another spice container is 3 inches tall with a radius of 1.5 inches, Volume=?
V =Khr^2
V=3.14 X 3 X 1.5^2
V=21.195 cubic inch
Recall that
Pressure = Force ÷ Area
In this context we have,
Pressure = 24,000 ÷ (16 × 12)
= 24,000 ÷ 192
= 125 Pa
