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skad [1K]
3 years ago
13

If ​x​ and ​y​ are positive integers and the mean of 4, 20, and ​x​ is equal to the mean of ​y​ and 16, what is the smallest pos

sible value of ​x​ + ​y​?
Mathematics
1 answer:
Studentka2010 [4]3 years ago
8 0

Answer:

5

Step-by-step explanation:

(4+20+x)/3 = (y+16)/2

2(24+x) = 3(y+16)

48 + 2x = 3y + 48

2x = 3y

Since x and y are positive integers, they can't be 0. To satisfy 2x = 3y

We'll have to use LCM of 2 and 3, which is 6 (or a multiple of 6)

For the least value, we use 6

To make both sides 6,

x = 3 and y = 2

Hence x + y = 5

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ANSWER

The length of the altitude is 3\sqrt{3} units


<u>EXPLANATION</u>

The altitude of a triangle is the vertical height of the triangle.


From the diagram the altitude is a


Method 1: We can use Pythagoras theorem to find a


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\sqrt{9} \times \sqrt{3}=a


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Method 2 Using Trigonometry

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6sin(60\degree)=a


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4 years ago
What are the abbreviations for a milliliter, a megameter, and a centigram, respectively?
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5x + 10 = 15<br> 1. 3<br> 2. 1<br> 3. 5 <br> 4. 25
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Answer:

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3 years ago
I NEED HELP <br> The perimeter of the shape is ____ feet.
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Answer:

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Step-by-step explanation:

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