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
Bogdan [553]
3 years ago
5

Convert the measurement 5.0 km to mi

Mathematics
1 answer:
Zigmanuir [339]3 years ago
8 0

1 km = 0.621371 miles

5 km = 5 x 0.621371 = 3.106855 miles

 round off as needed.

You might be interested in
Use Stokes' Theorem to evaluate C F · dr F(x, y, z) = xyi + yzj + zxk, C is the boundary of the part of the paraboloid z = 1 − x
Serggg [28]

I assume C has counterclockwise orientation when viewed from above.

By Stokes' theorem,

\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S

so we first compute the curl:

\vec F(x,y,z)=xy\,\vec\imath+yz\,\vec\jmath+xz\,\vec k

\implies\nabla\times\vec F(x,y,z)=-y\,\vec\imath-z\,\vec\jmath-x\,\vec k

Then parameterize S by

\vec r(u,v)=\cos u\sin v\,\vec\imath+\sin u\sin v\,\vec\jmath+\cos^2v\,\vec k

where the z-component is obtained from

1-(\cos u\sin v)^2-(\sin u\sin v)^2=1-\sin^2v=\cos^2v

with 0\le u\le\dfrac\pi2 and 0\le v\le\dfrac\pi2.

Take the normal vector to S to be

\vec r_v\times\vec r_u=2\cos u\cos v\sin^2v\,\vec\imath+\sin u\sin v\sin(2v)\,\vec\jmath+\cos v\sin v\,\vec k

Then the line integral is equal in value to the surface integral,

\displaystyle\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S

=\displaystyle\int_0^{\pi/2}\int_0^{\pi/2}(-\sin u\sin v\,\vec\imath-\cos^2v\,\vec\jmath-\cos u\sin v\,\vec k)\cdot(\vec r_v\times\vec r_u)\,\mathrm du\,\mathrm dv

=\displaystyle-\int_0^{\pi/2}\int_0^{\pi/2}\cos v\sin^2v(\cos u+2\cos^2v\sin u+\sin(2u)\sin v)\,\mathrm du\,\mathrm dv=\boxed{-\frac{17}{20}}

6 0
3 years ago
INSCRIBED ANGLES PLZ HELP ASAP
Taya2010 [7]
The answer is 46°.

The measure of an inscribed angle is equal to (1/2) the measure of the intercepted arc. 

That means that, since ADC is 23 degrees, doubling that gives you 46 degrees, the measure of the intercepted arc.

Central angles are equal to the measure of the intercepted arc, which in this case is the same arc we just calculated.

Therefore it's 46.
4 0
3 years ago
Find the slope of each line
yuradex [85]
The slope is -2. this is because if you look at the graph it goes down 2 units and it goes right to the once so it’ll be -2/1 which equals -2.
4 0
3 years ago
If you are good at sequences in math please help I am giving more points
vodka [1.7K]

Answer:

C. 101 - 5(n - 1)

Step-by-step explanation:

d = (26 - 71)/(16 - 7)

d = -45/9

d = -5

a7 = a1 + (7-1)(-5)

71 = a1 - 30

a1 = 101

an = 101 + (n - 1)(-5)

an = 101 - 5(n - 1)

4 0
3 years ago
Read 2 more answers
Which three pieces of information contribute the most to your credit score?
Nadya [2.5K]
.....................................
6 0
2 years ago
Other questions:
  • If the point (x,square root 3/3) is on the unit circle, what. is x? A) 2/3
    15·1 answer
  • The question says write a rule to describe the transformation
    6·1 answer
  • Write the equation of the line that passes through (1, 3) and has a slope of 2 in point-slope form. (2 points) y − 1 = 2(x − 3)
    14·1 answer
  • Calculate the size of each of the unknown angles marked on the following diagrams.
    15·1 answer
  • Prime numbers between 1-12
    12·2 answers
  • Chloe needs to rent a car while on vacation . The rental company charges $17.95 , plus 18 cents for each mile driven. If Chloe o
    6·2 answers
  • Jenna bought a gallon of milk at the store for $3.58. About a bag of chips for $2.08. With a $10 bill . How much change did she
    5·1 answer
  • the volume of an isosceles right angled triangular prism is 1000 cm3 . If the length of the prism is 20 cm ,find (i) its lateral
    9·1 answer
  • A language arts test is worth 100 points. There is a total of 26 questions. There are spelling word questions thatare worth 2 po
    13·1 answer
  • What is nine-tenths of 2000?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!