Answer:
1.83
Step-by-step explanation:
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:
14 % discount
Step-by-step explanation:
39.00 x .14 = 5.46
39.00 -5.46 = $33.54
Answer: <span>A. about 30.8 miles
</span><span>
The x and y distance from the campsite at A (3, – 5), and the next checkpoint station is located at B (–10, 1) would be:
Xab= Xb- Xa= -10 - 3= -13
Yab= Yb- Ya= 1- (-5)= 6
The resultant distance would be
c^2= a^2+b^2
c^2= (-13)^2 + (6)^2
c= </span>√(169+36)= √205
c=14.32
If each unit in the coordinate plane represents 2.15 miles, the true distance= 14.32*2.15 miles= 30.78 miles
Answer:
<h2>
x = 20.8</h2><h2>
y = 22.3</h2>
Step-by-step explanation:
- x is the adjacent side
- 8 is the opposite side
- y is the hypothenuse
SOH - CAH - TOA
Since the opposite side is given and we need to find the length of the adjacent side, we can use tangent to solve for x.
Since the opposite side is given and we need to find the length of the hypotenuse, we can use sine to solve for y.
