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
inessss [21]
3 years ago
13

the length of a rectangle is three times its width .if the perimeter is 72cm,calculate the width of the rectangle.

Mathematics
1 answer:
Naddika [18.5K]3 years ago
4 0

Answer:

Width = 9

Step-by-step explanation:

According to the problem...

3x = length

x = width

2(3x + x) = 72

3x+x = 36

4x = 36

x = 9 = width

Hope that helped!!! k

You might be interested in
Who answers this correctly with explanation gets vevmo'd/pay pal 25<br> Any Links Will Be Reported.
Inga [223]

Answer:

the answer is C

hope this helps

have a good day :)

Step-by-step explanation:

4 0
2 years ago
Marine biologists have determined that when a shark detectsthe presence of blood in the water, it will swim in the directionin w
siniylev [52]

Solution :

a). The level curves of the function :

$C(x,y) = e^{-(x^2+2y^2)/10^4}$

are actually the curves

$e^{-(x^2+2y^2)/10^4}=k$

where k is a positive constant.

The equation is equivalent to

$x^2+2y^2=K$

$\Rightarrow \frac{x^2}{(\sqrt K)^2}+\frac{y^2}{(\sqrt {K/2})^2}=1, \text{ where}\ K = -10^4 \ln k$

which is a family of ellipses.

We sketch the level curves for K =1,2,3 and 4.

If the shark always swim in the direction of maximum increase of blood concentration, its direction at any point would coincide with the gradient vector.

Then we know the shark's path is perpendicular to the level curves it intersects.

b). We have :

$\triangledown C= \frac{\partial C}{\partial x}i+\frac{\partial C}{\partial y}j$

$\Rightarrow \triangledown C =-\frac{2}{10^4}e^{-(x^2+2y^2)/10^4}(xi+2yj),$ and

$\triangledown C$ points in the direction of most rapid increase in concentration, which means $\triangledown C$ is tangent to the most rapid increase curve.

$r(t)=x(t)i+y(t)j$  is a parametrization of the most $\text{rapid increase curve}$ , then

$\frac{dx}{dt}=\frac{dx}{dt}i+\frac{dy}{dt}j$ is a tangent to the curve.

So then we have that $\frac{dr}{dt}=\lambda \triangledown C$

$\Rightarrow \frac{dx}{dt}=-\frac{2\lambda x}{10^4}e^{-(x^2+2y^2)/10^4}, \frac{dy}{dt}=-\frac{4\lambda y}{10^4}e^{-(x^2+2y^2)/10^4} $

∴ $\frac{dy}{dx}=\frac{dy/dt}{dx/dt}=\frac{2y}{x}$

Using separation of variables,

$\frac{dy}{y}=2\frac{dx}{x}$

$\int\frac{dy}{y}=2\int \frac{dx}{x}$

$\ln y=2 \ln x$

⇒ y = kx^2 for some constant k

but we know that $y(x_0)=y_0$

$\Rightarrow kx_0^2=y_0$

$\Rightarrow k =\frac{y_0}{x_0^2}$

∴ The path of the shark will follow is along the parabola

$y=\frac{y_0}{x_0^2}x^2$

$y=y_0\left(\frac{x}{x_0}\right)^2$

7 0
2 years ago
What is 10* 3.8 exponent of 6 in scientific notation
Tju [1.3M]
3.8 x 3.8 x 3.8 x 3.8 x 3.8 x 3.8 = 3010.9363843010.936384 x 10 = 30109.36384
30109.36384 = 3.01094 × 10^<span>4
</span>

hope this helps

8 0
3 years ago
What is the greatest common factor of 7ab and 8b^3
Vlad [161]

Answer:

b

Step-by-step explanation:

The greatest common factor is the largest value two numbers share in common which multiplies to each of the numbers.

7ab has factors 7, a, b

8b^3 has factors 2, 4, 8, b, b, b

These share in common b.

3 0
3 years ago
What is the slope and y-intercept of the equation 3(y − 2) + 6(x + 1) − 2 = 0
dangina [55]
Y=-1/2x+2/3 for m=-1/2 and b=2/3
6 0
3 years ago
Other questions:
  • Guests to a wedding had to choose among three entree options: steak, chicken, or pasta primavera. Of the 128 guests who responde
    11·1 answer
  • For a button to fit through its buttonhole, the hole needs to be the size of the button's diameter. What
    13·2 answers
  • a submarine is diving to a total depth of 45 feet.It descends 15 percent of the total depth in 1 minute how far will the diver b
    14·1 answer
  • The sum of 3 consecutive even integers is 492. Find all of the integers
    8·2 answers
  • Y= 3x+6; (4,7) in slop intercept form
    8·1 answer
  • Believe this is worth 7 pts please help!
    9·1 answer
  • Solve for x<br>x/6=2<br><br>x=3<br>X=-12<br>X=12<br>Please help need fast
    11·2 answers
  • Urgent please help!!
    14·1 answer
  • Which ordered pair is a solution of the equation?
    12·1 answer
  • a teacher promised a movie day to the class that did better, on average, on their test. The box plot shows the results of the te
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!