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
raketka [301]
3 years ago
8

The ratio of length and breadth of a rectangular playground is 3:2. There

Mathematics
1 answer:
Misha Larkins [42]3 years ago
7 0

Answer:

We know that the ratio of length and breadth of a rectangular playground is 3:2

Then if the length is L, and the breadth is B, we have the relationship:

L = (3/2)*B

Outside this playground, we have a jogging track of 2m, then if we also consider the jogging track the length and breadth are:

L' = L + 2m

B' = B + 2m

The area is the product between the area and the breadth, then the area is:

A = B'*L'

A = (L + 2m)*(B + 2m)

And remember that L = (3/2)*B

Then we get:

A =  ((3/2)*B + 2m)*(B + 2m)

And the area is 2816 m^2

Then we have:

A =  ((3/2)*B + 2m)*(B + 2m) = 2816 m^2

Now we can solve the equation:

((3/2)*B + 2m)*(B + 2m) = 2816 m^2

(3/2)*B^2 + 3m*B + 2m*B + 4m^2 = 2816 m^2

(3/2)*B^2 + 5m*B =  2816 m^2 - 4m^2 = 2812m^2

Then we can write:

(3/2)*B^2 + 5m*B -  2812m^2 = 0

We can solve this if we use Bhaskara's formula:

B = \frac{-(5m) +- \sqrt{(5m)^2 - 4*(3/2)*(-2812m^2)} }{2*(3/2)} = \frac{-5m +-130m}{3}

One solution is negative, so we can discard that one, then we only take the positive:

B = (-5m + 130m)/3 = 41.67m

And L = (3/2)*B

L = (3/2)*40.7m = 62.5m

The breadth is 41.67 meters and the length is 62.5 meters.

You might be interested in
Help me if you know this ,Thanks
dolphi86 [110]
The answer is 185 ft 2.

Since it is a parralellogram you have to multiply the base x height.
And it has a 2 right next to it because you multiplied base x height
     
       Hope it helps!~


5 0
3 years ago
Read 2 more answers
Find the fifth term of a sequence whose first term is 8 and common ratio is 3/2
Arlecino [84]

Answer:

Option c. 81/2

Step-by-step explanation:

Fifth term: a5=?

First term: a1=8

Common ratio: r=3/2

an=a1*r^(n-1)

with n=5

a5=a1*r^(5-1)

a5=a1*r^4

Replacing the known values:

a5=8*(3/2)^4

a5=8*(3)^4/(2)^4

a5=8*81/16

Simplifying: Dividing the numerator and denominator by 8:

a5=(8*81/8)/(16/8)

a5=81/2

Answer: Option c. 81/2

3 0
3 years ago
consider the following.find formula simplify answer .Find the domain for the formula and round answer to two decimal places if n
Elanso [62]

The sum of functions is given as:

(f+g)(x)=f(x)+g(x)

In this case we have:

(f+g)(x)=5x+\sqrt[]{x-1}

The domain of the functions is any number that makes the squared root a real number, then:

\begin{gathered} x-1\ge0 \\ x\ge1 \end{gathered}

Hence the domain of the functions is:

\lbrack1,\infty)

5 0
1 year ago
A regular six-sided die is rolled 1000 times. Use the binomial distribution to determine the standard deviation for the number o
ANTONII [103]

The standard deviation for the number of times an odd number is rolled is 15.8

<h3>How to determine the standard deviation?</h3>

The given parameters are:

Die = regular six-sided die

n = 1000

The probability of rolling an odd number is:

p = 1/2 = 0.5

The standard deviation is then calculated as;

\sigma = \sqrt{np(1 - p)

This gives

\sigma = \sqrt{1000 * 0.5 * (1 - 0.5)

Evaluate the products

\sigma = \sqrt{250

Evaluate the root

\sigma = 15.8

Hence, the standard deviation is 15.8

Read more about standard deviation at:

brainly.com/question/16555520

#SPJ1

8 0
1 year ago
Enter an inequality that represents the phrase the sum of 1 and y is greater than or equal to y=5
koban [17]

Answer:

I do not konw. SOREY

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • A. Rice costs $1.33 per kilogram. How much will 1.3 kg of rice cost?
    14·1 answer
  • Cedric can buy 3 songs for $3.60 or 4 songs for $4.80. How much do you think he would pay for 5 songs?
    7·2 answers
  • serena is the manager at a coffee shop the amount of money she earns is represented by m=21h. how much more per hr does she earn
    10·1 answer
  • Solve this equation please −5×(−2)=?
    13·2 answers
  • I need help please?!!
    11·1 answer
  • What’s the answer?????
    12·1 answer
  • Five nickels have the same value as one ????<br><br> Two nickels have the same value as one ????
    13·2 answers
  • LAST ONE! I NEED HELP ON THIS ONE. I NEED TO TURN THIS IN, IN THE NEXT 5 MINS!!! SHOW WORK!!!
    10·1 answer
  • What is an equation in slope-intercept form of the line that passes through (6, 10) and is parallel to the graph of y=1/3x−1?
    11·1 answer
  • Which of the following tables represents a function?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!