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sammy [17]
3 years ago
14

Two rectangles are similar. One has a length of 11 cm and a width of 10 cm, and the other has a width of 7 cm. Find the length o

f the second rectangle. Round to the nearest tenth if necessary.
Mathematics
2 answers:
alukav5142 [94]3 years ago
7 0

Answer:

The length of the rectangle is 7.7 cm.

Step-by-step explanation:

When two rectangle are similar then the ratio of their length is equal to the ratio of their width,

Given,

The length of one rectangle = 11 cm,

Its width = 10 cm,

Also, the width of the second rectangle = 7 cm,

Let l be the length of the second rectangle,

By the above property,

\frac{l}{11}=\frac{7}{10}

\implies l = \frac{77}{10}=7.7\text{ cm}

Hence, the length of the second rectangle is 7.7 cm.

Alexandra [31]3 years ago
4 0
The answer would be 7.7 cm
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mezya [45]

The required equation is y = -9

Step-by-step explanation:

Step 1 :

Given the line l is perpendicular to the y axis

The equation of the y axis is x = 0

So any line perpendicular to the y axis will have equation as y = k , where k is a constant value for any value of x

Step 2 :

Its given that the line is passing through the point  (0.-9). Here the y co ordinate is -9. Hence the perpendicular line has a constant y co ordinate of y = -9 for any value of x

So the required equation is y = -9

Step 3 :

Answer :

The required equation is y = -9

6 0
3 years ago
Evaluate the expression.<br> 7.4+6 - 12:4<br><br><br> Plz help me
juin [17]

Answer:

7 . 4 + 6 - 12 : 4 = 31

Step-by-step explanation:

* To solve this problem lets revise the order of operations in

  mathematics

- The operations are:

# Addition

# Subtraction

# Multiplication

# Division

# Exponentiation

# Grouping ⇒ Parenthesis or brackets

- The order of these operations is:

# Parenthesis

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# Multiplication and Division which comes first from left to right

# Addition and Subtraction which comes first from left to right

- There is a word made from the first letter of each operation

  PEMDAS to remember the order of operations

* Lets solve the problem

∵ 7 . 4 + 6 - 12 : 4

∵ The (.) means multiply the numbers

∵ The symbol (:) means divided the numbers

∴ At first multiply 7 by 4 and divide 12 by 4

∴ (7 × 4) + 6 - (12 ÷ 4)

∴ 28 + 6 - 3

∵ Addition comes before subtraction from the left

∴ (28 + 6) - 3

∴ 34 - 3 = 31

∴ 7 . 4 + 6 - 12 : 4 = 31

4 0
3 years ago
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Phoenix [80]

Answer:

We use it to substitute an unknown number. We have a variable for a number we don’t know and as we solve the problem we can find the answer for the variable or unknown number.

Step-by-step explanation:

I hope it helps! Have a great day!
Anygays-

8 0
1 year ago
Read 2 more answers
The sum of two numbers is 47 and the difference is 25 . what are the numbers?
taurus [48]
The numbers are:  36 and 11 .
______________________________________________
Explanation:
______________________________________________
Let us represent the TWO (2) numbers with the variables;
         "x" and "y" .
__________________________________________
     x + y = 47 .

     y − x = 25.
__________________________________________
Since:  " y − x = 25 " ;

Solve for "y" in terms of "x" ;

  y − x = 25  ;

Add "x" to each side of the equation:
_____________________________________________
   y − x + x  = 25 + x  ;

to get:

   y = 25 + x .

Now, since:

  x + y = 47 ;

Plug in "(25 + x)" as a substitution for "y"; to solve for "x" :

x + (25 + x) = 47  ;

x + 25 + x + 47 ;

2x + 25 = 47 ;

Subtract "25" from each side of the equation:

2x + 25 − 25 = 47 − 25 ;

2x  = 22  ;

Divide EACH SIDE of the equation by "2" ;
 to isolate "x" on one side of the equation; and to solve for "x" ; 
 
2x / 2 = 22 / 2 ;

    x = 11 ;
______________________________________________
x + y = 47<span> ;

</span>Plug in "11" for "x" into the equation ; to solve for "y" ;

11 + y = 47 ;

Subtract "11" from EACH SIDE of the equation;
  to isolate "y" on one side of the equation; and to solve for "y" ;

 11 + y − 11 =  47 − 11  ;

            y = 36 .
___________________________________________
So:  x = 11 , y = 36 ;
___________________________________________
 Let us check our work:

y − x = 25 ;

36 − 11 =? 25 ?  Yes!

x + y = 47 ;

36 + 11 =? 47 ? Yes!
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The numbers are:  36 and 11 .
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katovenus [111]
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