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
jarptica [38.1K]
3 years ago
11

A rectangle has an area of 48 in^2. Every dimension of the rectangleis multiplied by a scale factor, and the new rectangle has a

n area of 12 in^2. What is the scale factor?
Mathematics
1 answer:
jeka57 [31]3 years ago
5 0

Let the dimensions of the first rectangle be L and W.  Then L*W = 48 in^2.

If we multiply both dimensions of this first rectangle by scale factor f, we get

f*L * f^W = 12 in^2.  Our job is to determine the scale factor, f.

Note that f^2*L*W = 12 in^2, and that LW = 48 in^2.

Therefore, the above equation becomes f^2*(48 in^2) = 12 in^2.

Dividing both sides by (48 in^2), we get f^2 = 1/4.

Solving for the scale factor, we get f = √(1/4) = 1/2.

The scale factor is 1/2.

You might be interested in
Find an equation of the line that satisfies the given condition. (Let x be the independent variable and y be the dependent varia
NeTakaya

Answer:

y = 4

Step-by-step explanation:

  • A line parallel to the x-axis has the same value of the <em>dependent variable (y)</em> for all the values of the <em>independent variable (x)</em>.  Hence, the line would be an <u>horizontal line that  passes through the y-axis and never meets the x-axis</u>. Since this line satisfies the condition of passing through the coordenates (x,y), (-6,4), then the equation is equal to the value of the coordinate y.  

 

Therefore, the equation of a line that satisfies these two conditions is <em>y = 4</em>.

Download pdf
8 0
3 years ago
A 20-pound bag of dog food costs $16. What is the unit price per pound? ​
ch4aika [34]

Answer:

0.8

Step-by-step explanation:

To calculate the cost of any item per pound, divide the cost of the item by its weight in pounds: cost ÷ pounds = cost per pound.

Hope This Helped!!

6 0
3 years ago
WILL GIVE BRAINLIEST IF CORRECTT
solniwko [45]
And then Matt and Adam ending up falling in love
6 0
3 years ago
Triangle $ABC$ has a right angle at $B$. Legs $\overline{AB}$ and $\overline{CB}$ are extended past point $B$ to points $D$ and
Lisa [10]

Answer:

Given :

ABC is a right triangle in which ∠ABC = 90°,

Also, Legs AB and CB are extended past point B to points D and E,

Such that,

\angle EAC = \angle ACD = 90^{\circ}

To prove :

EB\times BD=AB\times BC

Proof :

In triangles AEC and EBA,

∠EAC= ∠ABE ( right angles )

∠CEA = ∠AEB ( common angles )

By AA similarity postulate,

\triangle AEC \sim \triangle EBA,

Similarly,

\triangle AEC \sim \triangle ABC

\implies\triangle EBA\sim \triangle ABC-----(1)

Now, In triangles ADC and CBD,

∠ACD = ∠CBD ( right angles )

∠ADC= ∠BDC ( common angles )

By AA similarity postulate,

\triangle ADC \sim \triangle CBD,

Similarly,

\triangle ADC \sim \triangle ABC

\implies \triangle CBD\sim \triangle ABC-----(2)

From equations (1) and (2),

\triangle EBA\sim \triangle CBD

The corresponding sides of similar triangles are in same proportion,

\frac{EB}{BC}=\frac{AB}{BD}

\implies EB\times BD=AB\times BC

Hence, proved....

5 0
3 years ago
If r is an odd integer and m=8r then m/2 will always be
kogti [31]

Answer:

b. even

Step-by-step explanation:

m is a multiple of 8, so it is also a multiple of 4.  When a multiple of 4 is divided by 2, the result is a multiple of 2 (even).

3 0
3 years ago
Other questions:
  • Eight runners are in an olympic race, if there are three Americans in the race, what is the probability that at least one wins a
    13·2 answers
  • I will award brainliest! I need help finding the Slope from the Graph.​
    7·1 answer
  • What is the domain of this function?
    6·1 answer
  • 7+8(3.2.2) what is the answer to this problem break it all the way down
    6·1 answer
  • Carrie started a 12 ounces of water when finish drinking she had 2 1/4 how much did she srink
    15·2 answers
  • What is 16 divided by 160 equal to
    10·2 answers
  • how do you put 100,000 years in word form? (like a century, decade, millennium, myriad, etc) I will give you the brainiest answe
    15·1 answer
  • 1 - 2³ - 3² 1 please answer correctly please
    13·1 answer
  • HELP PLS I CAnt DO THIS
    13·1 answer
  • Write the fractions 22/100 and 22/1000 as decimal how are the values of the digit 2 related in each of the decimals
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!