Area of the parabolic region = Integral of [a^2 - x^2 ]dx | from - a to a =
(a^2)x - (x^3)/3 | from - a to a = (a^2)(a) - (a^3)/3 - (a^2)(-a) + (-a^3)/3 =
= 2a^3 - 2(a^3)/3 = [4/3](a^3)
Area of the triangle = [1/2]base*height = [1/2](2a)(a)^2 = <span>a^3
ratio area of the triangle / area of the parabolic region = a^3 / {[4/3](a^3)} =
Limit of </span><span><span>a^3 / {[4/3](a^3)} </span>as a -> 0 = 1 /(4/3) = 4/3
</span>
Answer:
P={3,4,5,6}
Step-by-step explanation:
Cube=6 sides={1,2,3,4,5,6}
P>2
P={3,4,5,6}
You may solve this ratio by cross multiplying. To do this, you multiply the numbers diagonally across from each other.
x/10 = 1/5
10(1) = x(5)
10 = 5x
2 = x
Answer:
x = 2
Answer:
The correct option is;
B. Use a formula
Step-by-step explanation:
Given that Jim and Lillian have the dimensions of the wall they want to paint, therefore, in order to know how much paint they need to buy, they should proceed as follows;
1) Determine the quantity of paint required to paint a unit area of the wall, and record the quantity UA
2) Calculate the area, A, of the wall they want to paint, which is 15 ft. × 9 ft. = 135 ft.²
3) The amount of paint needed, AmP is therefore given by the following formula
AmP = A × AU = 135 × AU
Answer:
Amy
Step-by-step explanation:
amy completed a longer distance in a shorter amount of time
rather than john completed a shorter distance in a longer time
