Divide 38,000 by 5 then that gives u 7,600 then u know that every year there are 365 days,so divide that by 5 gives u 73,find 2% of 73.
Answer:
Part a) 
Part b) 
Step-by-step explanation:
we know that
The original area of rectangle is equal to
so
if the length is increased by 6% and the width is by 15%
then
the new area is equal to
![A=[1.06(14)][1.15(9.5)]\ cm^{2}](https://tex.z-dn.net/?f=A%3D%5B1.06%2814%29%5D%5B1.15%289.5%29%5D%5C%20cm%5E%7B2%7D)
The new area is (1.219) times the original area
Part a) Calculate the percentage change in area of the rectangle
convert to percentage
Part b) what is the original area as a percentage of the increased area of the rectangle?
Divide the original area by the increased area
Convert to percentage
Answer:
10.5
Step-by-step explanation:
sin29
k
=
sin124
18
Plug in. Opposite sides go together.
k=\frac{18\sin 29}{\sin 124} \approx 10.526 \approx 10.5
k=
sin124
18sin29
≈10.526≈10.5
Let the speed of river be x km/hr down stream.
Time = Distance / speed
Since river flows downstream, speed of boat down stream = Speed of boat + speed of river = (15 + x).
Since river flows downstream, speed of boat upstream = Speed of boat - speed of river = (15 - x).
Time Upstream - Time Downstream = 75 minutes
Time Upstream = 45 / (15 - x)
Time Downstream = 45 / (15 + x)
75 minutes = 75/60 = 5/4 hours
Time Upstream - Time Downstream = 75 minutes = 5/4 hours
45 / (15 - x) - 45 / (15 + x) = 5/4 Divide both sides by 45
1 / (15 - x) - 1 / (15 + x) = (5/4)*(1/45)
1 / (15 - x) - 1 / (15 + x) = 1/36
((15 + x) - (15 -x)) / (15-x)(15+x) = 1/36
(15 +x - 15 +x) / (15-x)(15+x) = 1/36
2x / (15-x)(15+x) = 1/36
(15-x)(15+x) = 2x*36
(15-x)(15+x) = 72x
225 - x² = 72x
0 = x² + 72x -225
x² + 72x -225 = 0 This is a
quadratic function, use a calculator that can solve the function, by
inputting the function.
x = 3, or -75. Since we are solving for speed, we can not have negative values.
x = 3 is the only valid solution.
Speed of the river = 3 km/hr downstream.
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