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Vadim26 [7]
3 years ago
12

The sum of three consecutive even numbers is 48. what is the largest of these numbers?

Mathematics
1 answer:
shutvik [7]3 years ago
3 0
Let's name the three consecutive even numbers n, n+2, and n+4. We know that their sum will be divisible by 2 because they are all even, so we can set x = n/2, and say that x + x+1 + x+2 = 48/2 = 24. Then, we can solve for 3x + 3 = 24, 3x = 24-3 = 21, and x = 21/3 = 7.
Final answer: n/2 = 7, so n = 14, so n+4 (the greatest number) is 14+4 = 
18.
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Hope this helps!
8 0
3 years ago
Find the exact value of sin (x-y) if sinx=4/9 and siny=1/4
Svetach [21]

Answer:

sin(x - y) = 0.21

Step-by-step explanation:

we have the sin values which we need to get cos values

sin (A-B) = sin A cos B - sin B cos A

sin² A + cos² A = 1

sin x = 4/9

cos² x = 1 - sin² x = 1 - 16/81 = 65/81

cos² x = 65/81

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cos² y = 15/16

cos y = √15/4

sin(x − y) = sin x cos y - sin y cos x

sin(x - y) = 4/9 √15/4 - 1/4 √65/9

sin(x - y) = (4√15-√65)/36

sin(x - y) = 0.21

socratic Narad T

8 0
2 years ago
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xxTIMURxx [149]

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Step-by-step explanation:

Thats the answer

3 0
3 years ago
Given the lengths of two sides of a triangle, find the range for the length of the third side (between what two numbers should t
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6 0
3 years ago
In 6 years, John will be 3 times the age he was 2 years ago. What is his current age?
Vladimir79 [104]

Answer:

John is currently 6 years old.

Step-by-step explanation:

2 years ago: x years

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EQUATION:

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(subract x from both sides)

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Therefore, John is 6 years old in current time

7 0
3 years ago
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