The equivalent fractions are:
2/3
20/30
30/45
The cost of swimming lesson in winters is $60.
Step-by-step explanation:
Given,
Cost of lessons in summer = $50 per month
Raise in winter = 20%
Amount of raise = 20% of summer's cost
Amount of raise =
Amount of raise =
Cost of lesson in winter = Cost in summer + Amount of raise
Cost of lesson in winter = 50+10 = $60
The cost of swimming lesson in winters is $60.
Keywords: percentage, addition
Learn more about addition at:
#LearnwithBrainly
Answer:
I belive it is B. 9 and 10
The square root of 98 is 9.89949493...
Answer:
π/2
Step-by-step explanation:
z = 1 − x² − y²
We can integrate by first converting to cylindrical coordinates.
z = 1 − r²
At z = 0, r = 1. So the limits of integration are:
0 ≤ r ≤ 1
0 ≤ θ ≤ 2π
0 ≤ z ≤ 1 − r²
The volume is:
V = ∫ ∫ ∫ r dz dr dθ
V = ∫₀²ᴾ ∫₀¹ ∫₀ᶻ r dz dr dθ
V = ∫₀²ᴾ ∫₀¹ rz |₀ᶻ dr dθ
V = ∫₀²ᴾ ∫₀¹ r (1 − r²) dr dθ
V = ∫₀²ᴾ ∫₀¹ (r − r³) dr dθ
V = ∫₀²ᴾ (½ r² − ¼ r⁴) |₀¹ dθ
V = ∫₀²ᴾ ¼ dθ
V = ¼ θ |₀²ᴾ
V = π/2
Another way we can look at this is by slicing the paraboloid into a stack of thin circular discs. Each disc has a volume of:
dV = π r² dz
We know that r² = 1 - z, so:
dV = π (1 - z) dz
So the volume is:
V = ∫₀¹ π (1 - z) dz
V = π (z - ½ z²) |₀¹
V = π/2
No, because an acute triangle has 3 acute angles, and a right triangle has a 90 degree angle. hope this helps (;