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
Kaylis [27]
3 years ago
10

A pool measuring 16 meters by 30 meters is surrounded by a path of uniform width, as shown in the figure. If the area of the poo

l and the path combined is 1472 square meters what is the width of the path?

Mathematics
1 answer:
tekilochka [14]3 years ago
3 0
Take the whole area and minus the pools area

1472 - (16x30)

This gives the total path area

Take the total path area and divide it by the perimeter (16+16+30+30)

This will just leave the width left over
You might be interested in
Hi, I need an answer to this question pls. Louisa used Uber which charges $2 for the first mile and $1.10 for each additional mi
Vanyuwa [196]

Answer:

20 miles

Step-by-step explanation:

Let x = amount charge each mile

y = total price paid

Since the Uber charged $1.10 for each mile, we multiply x by 1.1 like this 1.1x

Also, $2 were already charged so we add 2 to the total price

y = 1.1x + 2

Since the Lyft charged $0.95 for each mile, we multiply x by 0.95 like this 0.95x

Also, $5 were arleady charged so we add 5 to the total price

y = 0.95x + 5

We have to find a price where both rides match

1.1x + 2 = 0.95x + 5

Let's move the like terms to one side by subtracting 0.95x from both sides

1.1x + 2 = 0.95x + 5

-0.95x   -0.95x

0.15x + 2 = 5

Now, subtract 2 from both sides

0.15x + 2 = 5

         - 2  - 2

0.15x = 3

Finally, divide both sides by the coefficient, 0.15, to isolate the variable, x

0.15x/0.15 = 3/0.15

x = 20

This means they traveled 20 miles if they were to pay the same price

7 0
3 years ago
I need help with number 15 please and thanks
julsineya [31]
The tree is 7.5ft because it's shadow is half it's height.
5 0
3 years ago
Read 2 more answers
I need help asap pleaseee,
Zinaida [17]

Answer:

The slope of line A is C. 2

Step-by-step explanation:

You can check the slope by dividing the rise (how many units up) and the run (how many units across). This line has a rise of rise of 4 and a run of 2. Diving 4 by 2 gives you a slope of 2.

6 0
2 years ago
I need help on number #16
SCORPION-xisa [38]
It only equals positive 12, that symbol means it equals positive and negative 12
4 0
3 years ago
Provide an example of optimization problem
Mashutka [201]

Answer:

a. Convex solutions ,GO Methods

b. market efficiency

Explanation :

Step-by-step explanation:

A globally optimal solution is one where there are no other feasible solutions with better objective function values. A locally optimal solution is one where there are no other feasible solutions "in the vicinity" with better objective function values. You can picture this as a point at the top of a "peak" or at the bottom of a "valley" which may be formed by the objective function and/or the constraints -- but there may be a higher peak or a deeper valley far away from the current point.

In convex optimization problems, a locally optimal solution is also globally optimal. These include LP problems; QP problems where the objective is positive definite (if minimizing; negative definite if maximizing); and NLP problems where the objective is a convex function (if minimizing; concave if maximizing) and the constraints form a convex set. But many nonlinear problems are non-convex and are likely to have multiple locally optimal solutions, as in the chart below. (Click the chart to see a full-size image.) These problems are intrinsically very difficult to solve; and the time required to solve these problems to increases rapidly with the number of variables and constraints.

GO Methods

Multistart methods are a popular way to seek globally optimal solutions with the aid of a "classical" smooth nonlinear solver (that by itself finds only locally optimal solutions). The basic idea here is to automatically start the nonlinear Solver from randomly selected starting points, reaching different locally optimal solutions, then select the best of these as the proposed globally optimal solution. Multistart methods have a limited guarantee that (given certain assumptions about the problem) they will "converge in probability" to a globally optimal solution. This means that as the number of runs of the nonlinear Solver increases, the probability that the globally optimal solution has been found also increases towards 100%.

Where Multistart methods rely on random sampling of starting points, Continuous Branch and Bound methods are designed to systematically subdivide the feasible region into successively smaller subregions, and find locally optimal solutions in each subregion. The best of the locally optimally solutions is proposed as the globally optimal solution. Continuous Branch and Bound methods have a theoretical guarantee of convergence to the globally optimal solution, but this guarantee usually cannot be realized in a reasonable amount of computing time, for problems of more than a small number of variables. Hence many Continuous Branch and Bound methods also use some kind of random or statistical sampling to improve performance.

Genetic Algorithms, Tabu Search and Scatter Search are designed to find "good" solutions to nonsmooth optimization problems, but they can also be applied to smooth nonlinear problems to seek a globally optimal solution. They are often effective at finding better solutions than a "classic" smooth nonlinear solver alone, but they usually take much more computing time, and they offer no guarantees of convergence, or tests for having reached the globally optimal solution.

5 0
3 years ago
Other questions:
  • How to solve 64mi/h=93.9ft/s
    8·1 answer
  • 1,000 cubic centimeters equals 1 ____?
    14·2 answers
  • Uncle Mark's family drinks 12 quarts of milk every week.
    6·1 answer
  • Name the ray in the figure.<br> &lt;—•A———————•B
    5·1 answer
  • Tommy took one of his friends out to dinner. The dinner cost $100 and he paid 3% sales tax. If Tommy left an 18% tip on the $100
    10·2 answers
  • Two bottles of soft drink can be serve 8 people.How many bottles of soft drink will be be needed to serve 40
    15·1 answer
  • Write in the missing numbers in each of these sequences. Explain the rule that has been used to make the sequence.
    7·1 answer
  • SAY "YES!" TO THE ANSWER?<br> !✌✌✌
    15·2 answers
  • HELP ASAP!!! DUE IMMEDIATELY!!!
    7·1 answer
  • Use the graph that shows the solution to f(x)=g(x).
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!