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Rudiy27
3 years ago
12

A tugboat goes 180 miles upstream in 10 hours, the return trip downstream takes 5 hours. Find the speed of the tugboat without t

he current and the speed of the current
Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
6 0

Answer:

Upstream 18mph              Downstream  36 mph

Step-by-step explanation:

Upstream DATA:

distance = 180 miles ; time = 10 hrs ; rate = 180/10= 18 mph

-----

Downstream DATA:

distance = 180 miles ; time = 5 hrs ; rate = 180/5= 36 mph

------

Equation:

Upstream: b - c = 18 mph

Downstream: b + c = 36 mph

Now solve for "b"

solve for "c"

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PLZ HELP WORTH A LOT OF POINTS AND I HAVE 10 MINUTES!!!!
Lina20 [59]

Answer:

The area after 9 years will be 1,234 km^2

Step-by-step explanation:

In this question, we are tasked with calculating what the area of a certain forest that decreases at a certain percentage would be after some years.

To answer this question, we shall be using an exponential approximation.

Now, to use this exponential approximation, we shall be needing a supporting exponential mathematical equation.

This can be written as;

A = I(1-r)^t

where A is the new area we are looking for

I is the initial area which is 1700 according to the question

r is the rate of decrease which is 3.5% = 3.5/100 = 0.035

t is time which is 9 years according to the question

We plug these values and have the following;

A = 1700(1-0.035)^9

A = 1700(0.965)^9

A = 1,233.66

This is 1,234 km^2 to the nearest square kilometer

5 0
2 years ago
(0,1),(1,3),(2,5),(3,7) function rule
DaniilM [7]

\bf \begin{array}{ccll}x&y\\\cline{1-2}0&1\\[0.8em]1&\stackrel{2(1)+1}{3}\\[0.8em]2&\stackrel{2(2)+1}{5}\\[0.8em]3&\stackrel{2(3)+1}{7}\\[0.8em]x&2x+1\end{array}~\hspace{8em}y=2x+1

7 0
3 years ago
Write a 4 -digit number that is divisible by both 5 and 9
vodomira [7]
4500 is both divisible by 5 and 9
4500/9=500
4500/5=900
6 0
3 years ago
What is the volume of the sphere given below? if necessary, round your answer to two decimal places.
Marrrta [24]
The formula for volume of a sphere is V=(4pi*r^3)/3.
Plugging in 12 for r we get
V=(4pi*(12)^3)/3
V=(4pi*1728)/3
V=(6912pi)/3
V=2304pi
Round to 2 decimal places: 7238.23
Final Answer:
7238.23 cubic units.
Hope I helped :)
6 0
3 years ago
Suppose an isosceles triangle ABC has A= pi/6 and b=5=c. What is the length of a^2.
ioda
5^2(2-sqrt3) is the answer here is the link to how to do it https://socratic.org/questions/suppose-an-isosceles-triangle-abc-has-a-30-and-b-c-5-what-is-the-leng...
5 0
3 years ago
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