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
krok68 [10]
3 years ago
14

A rectangle has a perimeter of 14 inches. A similar rectangle has a perimeter of 10 inches. If the length of the larger rectangl

e is 4 inches, what is the length of the smaller rectangle? Round to the nearest tenth
Mathematics
1 answer:
Jet001 [13]3 years ago
7 0

Answer:

2.9 in.

Step-by-step explanation:

Let x in be the width of the larger rectangle.  If the length of the larger rectangle is 4 inches and the perimeter of the larger rectangle is 14 in, then

x+4+x+4=14,\\ \\2x=14-8,\\ \\2x=6,\\ \\x=3\ in.

If two rectangles are similar, then their lengths and widths are proportional with the scale factor k. Thus, the length of the smaller rectangle is 4k in and the width of the smaller rectangle is 3k in. If the perimeter of the smaller rectangle is 10 in, then

4k+3k+4k+3k=10,\\ \\14k=10,\\ \\k=\dfrac{10}{14}=\dfrac{5}{7},\\ \\4k=\dfrac{20}{7}\approx 2.9\ in,\\ \\3k=\dfrac{15}{7}\approx 2.1\ in.

You might be interested in
What do I do to figure out this problem:<br>3x+8=26+x
Gnom [1K]
<span><u>3x + 8 = 26 + x</u>

The first thing you need to do is understand what you're looking for ...
what a 'solution' means, what it looks like, and how you even know
when you have it.    I'm not sure you're there yet.

The 'answer' or the 'solution' to the problem is a number.  It's the number
that 'x' must be in order for that line at the top to be a true statement.  There's
only one possibility.

To find it, you can do anything you want to either side of the problem, as long as
you do exactly the same thing to the other side too.  With that ability, here's how
to 'figure out the problem', and find the answer:

The original problem:      </span><span><u>3x + 8 = 26 + x</u>

Subtract 8 from each side:

3x = 18 + x

Subtract 'x' from each side:

2x = 18

Divide each side by 2 :

<u>x = 9 </u> .

That's what the answer looks like, and that's what the answer is.

' 9 ' is the ONLY number you can write in place of 'x' in the problem,
and have the problem read true.

I'll show you what I mean.  Let's take the original problem

                   </span><span> <u><span>3x + 8 = 26 + x

</span></u><span>and let's write ' 2 ' wherever we see 'x' :

3 (2) + 8 = 26 + 2

3 (2) means 3 times 2, and that's 6 .
So now we have

6 + 8 = 26 + 2

Do the addition on each side, and we have

14 = 28 .

That's nonsense.  14 is not equal to 28 .  The reason that happened
is because we put the wrong number in place of 'x' .  When we put the
correct number in place of 'x', the left side will be equal to the right side.
To 'figure out the problem' means to find out what that number must be.
For this particular problem, it's 9 .
</span><u><span /></u>

</span>

7 0
3 years ago
Read 2 more answers
A submarine at 21 feet below sea level suddenly moves up about 6 feet. At what depth is
Artist 52 [7]

Answer:

The submarine is 15 feet below sea level.

Step-by-step explanation:

7 0
3 years ago
In the expression x^2+5x+2y-4,which best describes 5? A.base B.coefficient C.constant D.difference
kiruha [24]

Answer:

The answer is B. coefficient.

Step-by-step explanation:

Hope this helps! ^^

4 0
3 years ago
What are the two things do you need to write an equation?
dlinn [17]

Answer:

Slope and y intercept.

Step-by-step explanation:

This is necassary to write the equation of a line in y=mx+b

m is where the slope goes, and b is the y intercept.

Alternatively, you could also write the equation for a line with a point on the line and the slope.

You would then write it in point slope formula:

y-y1=m(x-x1)

This can later be converted into slope intercept form.

3 0
3 years ago
Read 2 more answers
Write and solve a system of equations: Vanessa and Geneva worked together to buy a pair of tickets ($240 total) to the Green Day
Goshia [24]

Answer:

The systems of equation are \left \{ {{v+g=21} \atop {10v+12g=240}} \right..

Vanessa worked for<u> 6 hrs </u>and Geneva worked for <u>15 hrs</u> to earn exactly $240.

Step-by-step explanation:

Let the number of hours worked by Vanessa be 'v'.

Let the number of hours worked by Geneva be 'g'.

Given:

Total number of hours worked = 21 hours

So we can say that;

Total number of hours worked is equal to sum of number of hours worked by Vanessa and number of hours worked by Geneva.

framing in equation form we get;

v+g=21              ⇒ equation 1

Also given:

per hour earnings of Vanessa = $10

per hour earning of Geneva = $12

Total they need to earn = $240

So we can say that;

Total they need to earn would be equal to sum of  per hour earnings of Vanessa multiplied by number of hours worked by Vanessa and per hour earning of Geneva multiplied by number of hours worked by Geneva.

framing in equation form we get;

10v+12g =240     ⇒ equation 2

Hence The systems of equation are \left \{ {{v+g=21} \atop {10v+12g=240}} \right..

On Solving above equations we get;

First we will multiply equation 1 by 10 we get;

10(v+g)=21\times10

10v+10g =210     ⇒ equation 3

Now Subtracting equation 3 from equation 2 we get;

10v+12g -(10v+10g)=240-210\\\\10v+12g-10v-10g=30\\\\2g =15

Dividing both side by 2 we get;

\frac{2g}{2}=\frac{30}{2}\\\\g =15\ hrs

Now Substituting the value of g in equation 1 we get;

v+g=21\\\\v+15=21\\\\v=21-15 =6\ hrs

Hence Vanessa worked for<u> 6 hrs </u>and Geneva worked for <u>15 hrs</u> to earn exactly $240.

7 0
3 years ago
Other questions:
  • In a fruit cocktail, for every 28 ml of orange juice you need 14 ml of apple juice and 56 ml of coconut milk. What is the ratio
    15·1 answer
  • Please help me thank you
    10·1 answer
  • A medical company tested a new drug for possible side effects. The table
    12·1 answer
  • Factorize completely the following algebra expression :<br>81x^4-16y^8​
    14·1 answer
  • The percent frequency distributions of job satisfaction scores for a sample of information systems (IS) senior executives and mi
    6·1 answer
  • Which of the following prefixes would be best for measuring small objects like the width of a paper A.hecta B.kilo C.deca D.cent
    11·1 answer
  • Simultaneous equations<br>x+y=5<br>x squared-y squared=15​
    9·2 answers
  • Mrs. lopez left for work at 6:35am. she arrived at work 40 minutes later. what time did she arrive at work?
    5·2 answers
  • Please help!! Pythagorean theorem worksheet
    13·1 answer
  • Once a large pink ribbon, the sign of the fight against breast cancer, was erected out of pink post-it notes on a billboard. If
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!