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sergij07 [2.7K]
3 years ago
7

Please help me!

Mathematics
1 answer:
Arlecino [84]3 years ago
5 0
Try to solve with all the options,
B is the right answer.
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This monitor has a diagonal length of 19 inches and an aspect ratio of 5:4. What are the width and height of the monitor? Round
nasty-shy [4]

<em>Rounded to the nearest tenth of an inch the Witdth of the monitor is 14.8 inches while the Height of the monitor is 11.9 inches.</em>

<h2>Explanation:</h2><h2 />

The aspect ratio is defined as:

<em>"The proportional relationship between the width and height of an image"</em>

It is usually expressed in a mathematical language as:

x:y \\ \\ x: \ Width \\ \\ y: \ Height

So, it is true that:

x:y=5:4 \\ \\ or: \\ \\ \frac{x}{y}=\frac{5}{4} \\ \\ \therefore x=\frac{5y}{4}

In this case, we know that the monitor has a diagonal length (D):

D=19in

So, by Pythagorean theorem:

D^2=361 \\ \\ 361=x^2+y^2 \\ \\ Since \ x=\frac{5y}{4}

D^2=361 \\ \\ 361=x^2+y^2 \\ \\ Since \ x=\frac{5y}{4} \\ \\ 361=\left(\frac{5y}{4}\right)^2+y^2 \\ \\ 361=\frac{25y^2}{16}+y^2 \\ \\ \frac{41}{16}y^2=361 \\ \\ y^2=\frac{261\times 16}{41} \\ \\ y=\sqrt{140.87} \\ \\ y=11.869in

Finding x:

x=\frac{5(11.869)}{4} \\ \\ x=14.836in

<em>Finally, rounded to the nearest tenth of an inch the Witdth of the monitor is 14.8 inches while the Height of the monitor is 11.9 inches.</em>

<h2>Learn more:</h2>

Pythagorean Theorem: brainly.com/question/10182890

#LearnWithBrainly

5 0
3 years ago
Find the length of AB
aniked [119]
FIRST QUESTION
Given points are:
A(2, -4)  and B(6, 2)
Now,  Use the distance formula.
distance formula = \sqrt{  (x_{2}- x_{1})^{2} + ( y_{2} - y_{1} )^{2}  }
 
Now, plug the values into the formula, So,
distance  = \sqrt{  (6- 2)^{2} + ( 2 - (-4))^{2}  }
               
                = \sqrt{  (6- 2)^{2} + ( 2 +4))^{2}  }
    
                = \sqrt{  (4)^{2} + ( 6))^{2}  }
 
                = \sqrt{ 16+36}
 
                = \sqrt{52}
  
               = 2 \sqrt{13}

So, the length of AB is 2 \sqrt{13}.




<span>THIRD QUESTION
</span>Two points given are:
A(3, -2) and B(1, 1)
Also given that B is the midpoint of AC.

Let, the co-ordinates of C be C(a, b).
Now, using midpoint formula,
Midpoint = (\frac{  x_{1}+ x_{2}   }{2} , \frac{ y_{1}+ y_{2}  }{2} )
        
(1, 1)=(\frac{ 3+ a }{2} , \frac{ -2+b }{2} )


Now, equaling the ordered pair, we have,

1=\frac{ 3+ a }{2}  .............equation (1)   

1=\frac{ -2+b }{2}  ................equation (2) 

Now, taking equation (1)
1=\frac{ 3+ a }{2}

1*2=3+a

2-3=a

a=-1

Now, taking equation (2)
1=\frac{ -2+b }{2}

1*2=-2+b

2+2=b

b=4

<span>So, the co ordinates of C are (a, b) which is <u>(-1 , 4)



</u></span>
<span>SECOND QUESTION:
</span>Given equations are:
2x + 3y = 14.....................equation (1)
-4x + 2y = 4 .....................equation (2)
Taking equation (2)
-4x + 2y = 4
2y = 4 + 4x
y = (4 + 4x) / 2
y = 2 + 2x .......................equation (3)
Now, Taking equation (1)
2x + 3y = 14
Substituting the value of y from equation (3), we get,
2x + 3(2 + 2x) = 14
2x + 6 + 6x = 14
8x = 14 - 6
x = (14 - 6) / 8
x = 1

Taking equation (3)
y = 2 + 2x
Now, substituting the value of x in equation (3), we get,
y= 2 + 2 (1)
y = 2 + 2
y = 4

So, x=1 and y=4

6 0
3 years ago
!!!WILL MARK THE BRAINIEST!!!
Nina [5.8K]

Answer:

1/65536

Step-by-step explanation:

4^-8 \times 4^0

1/4^8 \times 1

1/4^8

=0.00001525878

5 0
3 years ago
Read 2 more answers
Solve the following proportion x/3 = 6/9<br>18<br>27<br>2<br>24
Talja [164]
X/3 = 6/9
x= 6/9 x 3/1
x = 18/9 = 2

ANSWER=2
6 0
3 years ago
The cost for fudge at Candy Lane is represented by the table. The graph shows the cost of a similar fudge that Best Fudge Shop s
Vladimir [108]

Can you add an attachment to the table, so we can see the prices.

5 0
3 years ago
Read 2 more answers
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