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
pogonyaev
2 years ago
5

how do i get the right hour when she runs 26. mile marathon at an average pace of 6.2 per mile. how long will take her to finish

the marathon ?round answer to the nearest minute . but it has to be the hours and minutes.
Mathematics
1 answer:
iris [78.8K]2 years ago
6 0

well, we know her rate is on average 6.2 miles per 1hr or 6.2 m/h, so how long will it be for 26 miles?

\begin{array}{ccll} miles&hrs\\ \cline{1-2} 6.2&1\\ 26&x \end{array}\implies \cfrac{6.2}{26}=\cfrac{1}{x}\implies 6.2x=26\implies x = \cfrac{26}{6.2}\implies x \approx 4.19355 \\\\\\ \textit{approximately~~~~ 4hrs 11mins and 37secs}

how did we get the minutes and seconds?  use the same rule or proportions above with hours and minutes,  4.19355, 4 + 0.19355, we know there are 60 mins per 1hr, how many in 0.19355 hrs? well, simply 60 * 19355, which gives us 11 minutes, and you can do the same thing for the seconds.

You might be interested in
There are $5$ girls and $5$ boys in a chess club. The club holds a round-robin tournament in which every player plays against ev
Rashid [163]

Answer: 5

Step-by-step explanation:

5 0
3 years ago
the temperature on a summer day is 77 degree fahrenheit , the formula convert temperature to degrees Celsius =5/9 (f-32). what i
Maurinko [17]
C=\frac{5}{9}(F-32)\\\\F=77\\\\put\ value\ of\ F\ to\ equation:\\\\C=\frac{5}{9}(77-32)=\frac{5}{9}\cdot45=5\cdot5=25\\\\\boxed{77^o F=25^o C}
4 0
3 years ago
Solve ALL please . work needed <br><br> 5x-1=x+115<br><br><br> 3+5q=9+4q<br><br><br> 2b+4=-18-9b
spin [16.1K]
1) 5x-1=x+115

5x-x=115+1
4x=116
x=116/4
x=29 (Answer)

2) 3+5q=9+4q

5q-4q=9-3
q=6 (Answer)

3) 2b+4=-18-9b

2b+9b=-18-4
11b=-22
b=-22/11
b=-2 (Answer)

Hope this helps
7 0
3 years ago
∫(cosx) / (sin²x) dx
kirza4 [7]
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2822772

_______________


Evaluate the indefinite integral:

\mathsf{\displaystyle\int\! \frac{cos\,x}{sin^2\,x}\,dx}\\\\\\&#10;=\mathsf{\displaystyle\int\! \frac{1}{(sin\,x)^2}\cdot cos\,x\,dx\qquad\quad(i)}


Make the following substitution:

\mathsf{sin\,x=u\quad\Rightarrow\quad cos\,x\,dx=du}


and then, the integral (i) becomes

=\mathsf{\displaystyle\int\! \frac{1}{u^2}\,du}\\\\\\&#10;=\mathsf{\displaystyle\int\! u^{-2}\,du}


Integrate it by applying the power rule:

\mathsf{=\dfrac{u^{-2+1}}{-2+1}+C}\\\\\\&#10;\mathsf{=\dfrac{u^{-1}}{-1}+C}\\\\\\&#10;\mathsf{=-\,\dfrac{1}{u}+C}


Now, substitute back for u = sin x, so the result is given in terms of x:

\mathsf{=-\,\dfrac{1}{sin\,x}+C}\\\\\\&#10;\mathsf{=-\,csc\,x+C}


\therefore~~\boxed{\begin{array}{c}\mathsf{\displaystyle\int\! \frac{cos\,x}{sin^2\,x}\,dx=-\,csc\,x+C} \end{array}}\qquad\quad\checkmark


I hope this helps. =)


Tags:  <em>indefinite integral substitution trigonometric trig function sine cosine cosecant sin cos csc differential integral calculus</em>

5 0
4 years ago
What does same day again mean
solmaris [256]
An repetition loop.
8 0
3 years ago
Other questions:
  • Solve for x in the equation x2+4x-4-8.
    8·1 answer
  • Someone please help
    14·1 answer
  • A mechanic alters the lighthouse to make the light rotate in such a way that is reflection travels north word along the wall at
    10·1 answer
  • Multiply (2.0 ⋅ 10−4) ⋅ (3.1 ⋅ 10−20)
    8·2 answers
  • Alex earns $20 each week, and he deposits half of it into his savings account. At the end of the year his parents add as much as
    7·1 answer
  • A cylinder has a radius of 14 m and a height of 6 m. What is the exact volume of the cylinder? 84π m³ 168π m³ 504π m³ 1176π m³
    10·2 answers
  • Helpppppp I need help Asap
    9·2 answers
  • For the given central angle, determine the distance traveled along the unit circle from the point (1, 0).
    6·1 answer
  • How do I find the constant of proportionality from a equation
    5·1 answer
  • If the cost of 5m of cloth is Rs 375,find the cost of 80m of cloth​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!