1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kow [346]
3 years ago
7

A motor boat travels 60 miles down a river in three hours but takes five hours to return upstream. Find the rate of the boat in

still water and the rate of the current.
Mathematics
1 answer:
Kryger [21]3 years ago
3 0

Answer:

  • boat: 16 mph
  • current: 4 mph

Step-by-step explanation:

  speed = distance / time

The rate downriver is (60 mi)/(3 h) = 20 mi/h.

The rate upriver is (60 mi)/(5 h) = 12 mi/h.

The rate of the boat in still water is the average of these:

  (20 +12)/2 mi/h = 16 mi/h

The rate of the current is the difference between the boat speed and actual speed:

  16 mi/h - 12 mi/h = 4 mi/h

You might be interested in
What is the slope of the line that passes through the points (4,10) and (1,10) in simplest form​
GuDViN [60]

Answer:

0

Step-by-step explanation:

We can find the slope by using

m = (y2-y1)/(x2-x1)

   = (10-10)/(1-4)

   = 0/-3

  =0

7 0
3 years ago
Find the surface area of the solid generated by revolving the region bounded by the graphs of y = x2, y = 0, x = 0, and x = 2 ab
Nikitich [7]

Answer:

See explanation

Step-by-step explanation:

The surface area of the solid generated by revolving the region bounded by the graphs can be calculated using formula

SA=2\pi \int\limits^a_b f(x)\sqrt{1+f'^2(x)} \, dx

If f(x)=x^2, then

f'(x)=2x

and

b=0\\ \\a=2

Therefore,

SA=2\pi \int\limits^2_0 x^2\sqrt{1+(2x)^2} \, dx=2\pi \int\limits^2_0 x^2\sqrt{1+4x^2} \, dx

Apply substitution

x=\dfrac{1}{2}\tan u\\ \\dx=\dfrac{1}{2}\cdot \dfrac{1}{\cos ^2 u}du

Then

SA=2\pi \int\limits^2_0 x^2\sqrt{1+4x^2} \, dx=2\pi \int\limits^{\arctan(4)}_0 \dfrac{1}{4}\tan^2u\sqrt{1+\tan^2u} \, \dfrac{1}{2}\dfrac{1}{\cos^2u}du=\\ \\=\dfrac{\pi}{4}\int\limits^{\arctan(4)}_0 \tan^2u\sec^3udu=\dfrac{\pi}{4}\int\limits^{\arctan(4)}_0(\sec^3u+\sec^5u)du

Now

\int\limits^{\arctan(4)}_0 \sec^3udu=2\sqrt{17}+\dfrac{1}{2}\ln (4+\sqrt{17})\\ \\ \int\limits^{\arctan(4)}_0 \sec^5udu=\dfrac{1}{8}(-(2\sqrt{17}+\dfrac{1}{2}\ln(4+\sqrt{17})))+17\sqrt{17}+\dfrac{3}{4}(2\sqrt{17}+\dfrac{1}{2}\ln (4+\sqrt{17}))

Hence,

SA=\pi \dfrac{-\ln(4+\sqrt{17})+132\sqrt{17}}{32}

3 0
3 years ago
Questions 1-14of 14
matrenka [14]
Answer is b because the veritable is just 1 but the 4 stays the same
6 0
3 years ago
MATH QUESTION ON SLOPESSSSSSS
alex41 [277]
I’m fairly sure it is the last one. But the pictures are hard to see. 3/2 is the slope and -1 is the y intercept. Find the point at (0,-1) , the y intercept. Then go up 3 and over 2 to find the next point
3 0
3 years ago
Write the following numbers in words 560 451 2008​
Serggg [28]

Answer: five billion six hundred four million five hundred twelve thousand eight

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • Paula has a digas that weighs 3 times as much as Carla's. The total weight of the dogs is 48 lb how much does Paula dog weigh. D
    15·2 answers
  • Bianca is making scarves to sell. She has 33 pieces of blue fabric,37 pieces of green fabric, and 41 pieces of red fabric. Suppo
    14·2 answers
  • Which statements are true about the polynomial 4x3 – 6x2 + 8x – 12? Check all that apply. The terms 4x3 and 8x have a common fac
    16·2 answers
  • Order each set of numbers from least to greatest. Set B: {-0.615, -5/8, -0.62, 1/8}
    7·1 answer
  • Given 9, 12, 15, 18, 21, 24 ... Write an algebraic representation for this sequence.
    7·2 answers
  • Statistics would not be useful if they were not presented with 100% certainty. T/F
    15·1 answer
  • If u=18, x=−10, and y=8 what is the value of u+xy?
    5·1 answer
  • Please help if you can !!!
    5·1 answer
  • Is (3,11) a solution to the equation y= 5x-4
    14·1 answer
  • Use the commutative property to multiply 2.35 x 24
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!