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]
2 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]2 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
8x - 8 - x = 3 (6 - 2x)
Ksivusya [100]

Answer:

x = 2

Step-by-step explanation:

8

−

8

−

=

3

(

6

−

2

)

{\color{#c92786}{8x}}-8{\color{#c92786}{-x}}=3(6-2x)

8x−8−x=3(6−2x)

7

−

8

=

3

(

6

−

2

)

7 0
2 years ago
Help help help help help
dolphi86 [110]

Answer:

x = <u>12/5</u>

Step-by-step explanation:

Since the original is 10 and the second is 6, that means that the scale is 10:6 or 5:3.  It can also be related as %60 of the length.

<u>Step 1:  Make an equation</u>

10/6 = 4/x

<u>Step 2:  Cross Multiply</u>

10x = 24

<u>Step 3:  Divide</u>

10x / 10 = 24 / 10

24/10 = 12/5

x = 2.4

5 0
3 years ago
Read 2 more answers
In what line do planes A and QRV intersect?
matrenka [14]

In this question, we have to fin the line of intersection of the planes A and QRV.

We have to see the given figure and find the line on which the two planes A and QRV meets.

Lines SR,TS, WT and WQ are not on plane QRV.

The only line which passes through both planes is  QR.

And that's the line of intersection of the two planes.

6 0
2 years ago
You are playing a card game with friends. at one point. you double your score. in the next hand you lose 75 points. you end up w
Gnoma [55]

Answer:

i) x points; ii) 2x - 75 = -25; iii) x = 25

Step-by-step explanation:

i) Starting points

Let's say you had x points before doubling your score.

(ii) The equation

 After doubling score: 2x points

After losing 75 points: (2x - 75) points

         At end of game: -25 points

The equation is

2x - 75 = -25

iii) Solution to equation

2x - 75 = -25     Add 75 to each side

      2x =  50     Divide each side by 2

        x =  25

3 0
3 years ago
F Tanisha has ​$ 1,000 to invest at 5 % per annum compounded ​, how long will it be before she has ​$1,400 ​? If the compounding
vladimir2022 [97]

With annual compounding, the number of years for 1000 to become 1400 is 6.7 years

With continous compounding, the number of years for 1000 to become 1400 is 1.35 years

<h3>How long would it take $1000 to become $1,400?</h3>

With annual compounding, the formula that would be used is:

(In FV / PV) / r

Where:

  • FV = future value
  • PV = present value
  • r = interest rate

(In 1400 / 1000) / 0.05 = 6.7 years

With continous compounding, the formula that would be used is:

(In 1400 / 1000) / (In e^r)

Where r = interest rate

((In 1400 / 1000) / (In e^0.05) = 1.35 years

To learn more about how to determine the number of years, please check: : brainly.com/question/21841217

#SPJ1

5 0
2 years ago
Other questions:
  • I don't really understand how to do this. Please give me the answer, thanks
    11·2 answers
  • If a sequence starts with 1 then 4 then 9 how many would the next sequence have
    15·1 answer
  • A right triangle has side lengths that are consecutive integers and a perimeter of 12 feet. What are
    6·1 answer
  • -20 0ver -12 reduced to lowest form
    12·1 answer
  • What of the value of x in the equation 8x+9=5x+6? ​
    12·1 answer
  • Please Solve this, it would be extremely helpful for me.
    7·1 answer
  • Mike is renting a boat. The rental fee is $25 for each hour. He rented a boat for 3 hours. Which is the dependant variable in th
    11·1 answer
  • Solve the equation for the value of x<br><br> -15x=45<br><br> Show your work please, thank you.
    8·2 answers
  • Can someone answer this please
    8·1 answer
  • ..............:( halp
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!