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
Tanya [424]
3 years ago
15

The length of each side of a square is 3 inches more than the length of each side of a small square. The sum of the areas of the

square is 549 inches. Find the lengths of the sides of the two squares.
Mathematics
1 answer:
NeX [460]3 years ago
7 0

Answer:

\text{Smaller square's 15 inches, Bigger square's 18 inches}

Step-by-step explanation:

GIVEN: The length of each side of a square is 3 inches more than the length of each side of a small square. The sum of the areas of the square is 549 inches.

TO FIND: the lengths of the sides of the two squares.

SOLUTION:

let the length of side of small square be \text{x}

Area of small square =(\text{side})^2=\text{x}^2

As length of each side of bigger square is 3\text{ inches} more than the smaller square

length of side of bigger square =\text{x}+3\text{ inches}

Area of bigger square =(\text{x+3})^2

Also

Sum of areas of both square =549\text{ inch}^2

(\text{x})^2+(\text{x+3})^2=549

2\text{x}^2+6\text{x}+9=549

\text{x}^2+3\text{x}-270=0

\text{x}=15,-18

as the length of side can never be negative

\text{x}=15

length of side of smaller square =15\text{ inches}

length of side of bigger square =\text{x}+3\text{ inches}=18\text{ inches}

Hence the length of smaller and bigger square are 15\text{ inches} and 18\text{ inches} respectively.

You might be interested in
- Consider the equation 4x - 6y = 12.
Kaylis [27]
Y=2/3x-2
to find intercepts, substitute 0 into y and solve for x = x intercept is (3,0) and repeat for y. substitute 0 into x to get y intercept of (0,-2)
8 0
3 years ago
According to the Bohr model, the radius of a hydrogen atom is approximately 5.29 × 10-11 meters.
andrezito [222]
Simplify the expression:
41.9
7 0
3 years ago
Read 2 more answers
The probability of event A occurring is 50%, and the probability of event B occurring is 25%. Events A and B are nonsimultaneous
Misha Larkins [42]

Answer:

The probability of event A occurs but event B does not occur = P(A)* Probability of event B does not occur = 0.375

Step-by-step explanation:

The probability of event A occurring = 50% = 0.5

The probability of event B occurring = 25%  = 0.25

Events A and B are non simultaneous events.

The probability of event B does not occur = 1 - P(B)

= 1- 0.25

= 0.75

So the probability of event A occurs but event B does not occur = P(A)* Probability of event B does not occur

= 0.5*0.75

= 0.375

Thank you.

6 0
3 years ago
What is the simplified form of -64 1/3? Need Help ASAP, will make brainliest answer :)!!!
alexgriva [62]
-64 1/3

disregard the negative sign for the moment...
to turn a mixed number into an improper fraction, take ur whole number (63) and multiply it by ur denominator (3) and u get (64 * 3) = 192....now add that to ur numerator (1) and u get (192 + 1) = 193...now put that over ur original denominator (3) and u get 193/3.....now put ur negative sign back....and u have - 193/3.....simplified form, does not reduce
7 0
3 years ago
Bill has these expenditures for his utilities: December,
Brrunno [24]

The average monthly expenses for Bill's utilities is $266.67.

It is given in the question that:-

Expenditure in December by Bill = $ 234.45

Expenditure in January by Bill = $ 281.23

Expenditure in February by Bill = $ 284.33

We have to find the average monthly expenses for Bill's utilities.

We know that,

Average monthly expense for utilities = (Expenditure in December + Expenditure in January + Expenditure in February)/3

Hence, using the data given in the question, we can write,

Average monthly expense for utilities = (234.45 + 281.23 + 284.33)/3

Average monthly expense for utilities = 800.01/3 =  $266.67

To learn more about average, here:-

brainly.com/question/24057012

#SPJ1

6 0
1 year ago
Other questions:
  • noor has 4 cups of hot chocolate in his thermos. he offers 5/8-cup serving of hot chocolate to some friends.What is the greatest
    14·1 answer
  • The volume of a cylinder is 441 cubic centimeters and its radius is 7 centimeters.
    12·2 answers
  • John borrows $2,500 from his dad, who feels it is best to charge him interest. Six months later,
    8·2 answers
  • Monty invested 8600 in a savings account with a yearly interest rate of 5% for 12 years how much simple interest did he earn
    14·2 answers
  • What do we call financial assistance for a student with demonstrated financial need to help pay for college that does not need t
    9·2 answers
  • She filled her one half cup measuring cup 7 times how many flowers does the cake recipe call for
    6·1 answer
  • HELP PLEASE! I'll be your fan
    13·2 answers
  • 3/5+1/4<br><br> Give your answer as a fraction in its simplest form
    12·1 answer
  • 5. Find the slope of the line through the given points.<br> (10, 4), (4, 15)
    13·1 answer
  • Which scatter plot best represents a linear association between y and x ? ​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!