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
Leokris [45]
3 years ago
11

The length of a rectangle is 6 units and its width is 4 units. What is the approximate length of the diagonal of the rectangle?

Mathematics
1 answer:
ss7ja [257]3 years ago
5 0
The correct answer is:  [D]:  " 7.2 units" .
_______________________________________________________
Explanation:
________________________________________________________
Use the Pythagorean theorem:

a² + b² = c² ;

in which:  "6 units" and "4 units" equal the lengths of the right angle (formed by the rectangle);  and "c" is the length of the diagonal of the rectangle, or the "hypotenuse", of the right triangle formed by the rectangle;  We wish to solve for "c" ;
_______________________________________________

6² + 4² = c² ;  Solve for "c" ;

↔ c² = 6² + 4² ; 

         = (6*6) + (4*4) ;
 
         = 36 + 16 ;

        =  52 ;

    c² = 52 ;

Take the "positive square root" of each side of the equation; to isolate "c" on one side of the equation; and to solve for "c" ; 

  √(c²)  =  √52 ; 

    c = √52 ;  

At this point, we know the 7² = 49 ;  8² = 64 ;  so, the answer is somewhere between "7" and "8" ; yet closer to "7" ;  so among the answer choices given; 

The correct answer is:  [D]:  " 7.2 units" .
_________________________________________
However, let use a calculator:

c = √52 = 7.2111025509279786 ; which rounds to "7.2" ;
   which corresponds to:  
___________________________________________
Answer choice:  [C]:  " 7.2 units" .
___________________________________________
You might be interested in
I don't understand the bottom questions. Please help, it's due for tomorrow!
Elena-2011 [213]
I am giving the answers only.

2/5

4/7

5/11

1/5

2/3

3/5

2/15

1/2
3 0
3 years ago
MATH HELP PLEASE !50 POINTS!
docker41 [41]

Answer: 108

Step-by-step explanation: You take the x and the 2/3x and combine them to get 1 2/3x, so 1 2/3x=180. 180 divided by 5 is 36, and 36 times three is 108

7 0
3 years ago
Read 2 more answers
In one study, it was found that the correlation coefficient between two variables is -0.98. Which statement is true?
Vadim26 [7]

<u>Answer- </u>D. There is a strong negative association between the variables

<u>Solution-</u>

Properties of Correlation Coefficient

1-  Its value ranges between -1 and 1.

2- The greater the absolute value of correlation coefficient, the stronger is the linear relationship.

3- The weakest linear relationship is indicated by a correlation coefficient equal to 0.

4- A positive correlation means that if one variable gets bigger, the other variable tends to get bigger.

5- A negative correlation means that if one variable gets bigger, the other variable tends to get smaller.

As the given correlation coefficient is -0.98 (-ve), whose absolute value is 0.98 (closer to 1)

So there is a strong negative association between the variables.

3 0
3 years ago
Find -7a-6B (Picture provided)
sertanlavr [38]

Answer:

Option c

-7A-6B=\left(\begin{array}{ccc}40&-106&-32\\-46&43&25\\82&-62&-18\end{array}\right)

Step-by-step explanation:

First multiply matrix A by -7.

Then multiply the matrix B by -6.

When multiplying a matrix by a number x you must multiply each element of the matrix by x.

<em><u>Then we perform operation -7A </u></em>

-7\left(\begin{array}{ccc}-10&10&8\\-2&-1&5\\-4&8&-6\end{array}\right)=\left(\begin{array}{ccc}70&-70&-56\\14&7&-35\\28&-56&42\end{array}\right)

<u><em>Now we perform operation -6B </em></u>

-6\left(\begin{array}{ccc}5&6&-4\\10&-6&-10\\-9&1&10\end{array}\right)=\left(\begin{array}{ccc}-30&-36&24\\-60&36&60\\54&-6&-60\end{array}\right)

Now we add the resulting matrices

\left(\begin{array}{ccc}70&-70&-56\\14&7&-35\\28&-56&42\end{array}\right)+\left(\begin{array}{ccc}-30&-36&24\\-60&36&60\\54&-6&-60\end{array}\right)=\left(\begin{array}{ccc}40&-106&-32\\-46&43&25\\82&-62&-18\end{array}\right)

7 0
3 years ago
What is the range o the function h(x)=-8^x
likoan [24]

the answer is the first one y<0

8 0
3 years ago
Read 2 more answers
Other questions:
  • Using only whole numbers Nikki wrote as many multiplication equations as she could with 12 as the product what where her equatio
    11·1 answer
  • HURRY I WILL GIVE BRAINLIEST!!
    7·2 answers
  • The gross domestic product (GDP) of a certain country, which measures the overall size of the economy in billions of dollars, ca
    12·1 answer
  • Amalia is scuba diving at a position 24.25 feet below sea level.she descends 0.5 foot each minute for 25 minutes what is Amalias
    5·1 answer
  • (3x + 16) 5x value of x
    13·1 answer
  • What type of triangle is a 45-45-90 triangle?
    8·2 answers
  • What is the area of the parallelogram? A parallelogram with a base of 14 centimeters and a height of 5 centimeters.
    12·1 answer
  •  PLEASE HELP ME!!!!!!!!!!!This figure consists of two semicircles and a rectangle. What is the perimeter of this figure? Use 3.1
    11·1 answer
  • The was question will be in the picture urgent please help
    5·2 answers
  • Berline.<br> a. -1<br> b. 1.75<br> c. -1.75<br> d. -2<br> e. -2 1/2<br> f.<br> 0
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!