Let area to be painted = X m²
Rate for Allen = X / 16 m² / h
Rate for Brianne = X / 18 m² / h
Combined rate
X/16 + X/18 m² / h
[ 18X + 16X ] / 144 m² / h
34 X / 144 m² / h
time = X / [ 34 X / 144 ] h
time = 144 / 34 h
time = 4 h 14 min
Answer:
1
Step-by-step explanation:
Parallel = has same slope
On points( 3,4) (-2,2)
(2-4)/(-2-3) = -2/-5 = 2/5 slope
Use same formula: (y2-y1)/(x2-x1)
Find the slope of the other points:
(-2,-5) and (-7,-3)
(-3-(-5))/(-7-(-2)) = 2/-5 = -2/5
(-1, 1) and (-6, -1)
(-1-1)/(-6-(-1)) = -2/-5 = 2/5
(0,0) and (2,5)
(5-0)/(2-0) = 5/2
(1,0) and (6,2)
(2-0)/(6-1) = 2/5
(3,0) and (8,2)
(2-0)/(8-3) = 2/5
Which has same slope of 2/5?
You can see :)
Answer:
t = 1.5 seconds
Step-by-step explanation:
Given that d = −4t^2 + 2t + 6,
where d = distance above the water and
t = seconds.
Let assume that it's a perfect parabola
At the symmetry
t = -b/2a
Where a = -4, b = 2
t = -2/2(-4)
t = 1/4
To determine how long it will take a diver to reach the water’s surface
d = −4t^2 + 2t + 6
At water surface d =0
4t^2 - 2t - 6 = 0
Factorizing the above equation leads to
4t^2 + 4t - 6t - 6 = 0
4t(t + 1) -6(t + 1) = 0
4t - 6 =0
4t = 6
t = 6/4= 3/2 = 1.5 seconds
Since t can't be negative so we ignore the second factor.
Answer:
The ratio of sides in a 30-60-90 triangle is 1:√3:2. Since the shortest side is the 1 in this case the other lengths are 15√3 and 30.
