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
Ulleksa [173]
3 years ago
10

A rectangle has length 72 cm and width 56 cm. The other rectangle has the same area as this one, but its width is 21 cm. What is

the constant of variation?
Mathematics
1 answer:
katovenus [111]3 years ago
5 0

Answer:

The constant of variation is 4032

Step-by-step explanation:

Given:  

Let a rectangle (say A) has length of rectangle(l)= 72 cm and width of rectangle(w) = 56 cm.

Area of rectangle is multiply its length by its width.

Then,

area of rectangle (A) =l \times w = 72 \times 56 = 4,032 square cm.

It is given that the other rectangle B has the same area as the rectangle A.

Then, the area of rectangle (B) = area of rectangle (A) = 4,032 square cm.  .......[1]

First find the length of rectangle B:

Given: width of the rectangle B is 21 cm

then, by definition

Area of rectangle B = l \times w = l \times 21

From [1];

4032 = l \times 21

Divide 21 both sides we get;

l =\frac{4032}{21} = 192 cm

therefore, the length of rectangle B is 192 cm

To find the constant variation:

if y varies inversely as x

i.e, y \propto \frac{1}{x}

⇒ y = \frac{k}{x} where k is the constant variation.

or k = xy

As area of rectangle is multiply its length by width.

This is the inversely variation.

as: l \propto \frac{1}{w}

or l = \frac{A}{w} where A is the constant of variation

Since, the area (A) of both the rectangles are constant.

therefore, the constant of variation is, 4032


You might be interested in
Giving brainiest+points need explanation on this one my answer is 25 is it right?
natka813 [3]
Known facts:
A line shaft rotating at 250 rpm, a grinder shaft that turns at 1200 rpm diameter of grinder pulley is 5 inches.

1. Proportion equation
350/1200 = 5/x

2. Cross multiply 
1200*5=250*x
x=(1200*5)/250 = (24*50*5)/(5*50) = 24
The big wheel diameter is 24 inches


8 0
2 years ago
If y=mx, and y is 12 when x is 4, then what is the constant of proportionality in this equation?A. 1/3B. 3C. 8D. 16
Anna007 [38]
\begin{gathered} y=mx\text{  when  x=4 and y=12} \\ 12=m(4) \\ 4m\text{ =12} \\ m=\frac{12}{4}=3 \end{gathered}

The constant of proportionality,m, is 3 (option B)

5 0
11 months ago
Can yall help me plz<br>-​
Lera25 [3.4K]

Answer:

B

Step-by-step explanation:

Because the numbers are less than 45 and more than 40

3 0
2 years ago
Read 2 more answers
Which is the answer?
algol13
B or c that’s feels the most likely to be it
7 0
3 years ago
Mapping diagram: Is it a function? (yes /<br> no<br> ) Why or why not?
sashaice [31]
<h3>It is a function</h3>

Why? Because each input maps to <u>exactly one</u> output. The input oval represents the domain (set of all possible inputs). The output oval is the range, which is the set of all possible outputs. If we had something like the input 0 mapping to the outputs 2 and 4 at the same time, then we wouldn't have a function.

5 0
2 years ago
Other questions:
  • I need to know what 1608 divided by 6 is plz
    6·2 answers
  • Determine whether the following arguments are inductive or deductive. If an argument is inductive, determine whether it is stron
    14·1 answer
  • The maximum captivity of the school auditorium has 420 people right and i n e q u a l i t y for the situation tell what type of
    12·1 answer
  • Consider the function y = x2 − 18x. Enter the values for the variables to complete the inverse.
    11·1 answer
  • Lisa walked 48 blocks in 3 hours how many how does she walk per hour
    8·1 answer
  • Some of the steps in the derivation of the quadratic formula are shown.
    10·2 answers
  • For the given conditional statement, determine which of the following option(s) has a truth value of true. Select all that apply
    8·1 answer
  • 2 (n-3) = 4n+1<br> What is n
    5·1 answer
  • Which graph is the solution to the system y &gt; 2x – 3 and y &lt; 2x + 4?
    14·2 answers
  • Please help me! I can’t find the perimeter of this shape
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!