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Viktor [21]
3 years ago
5

Helppppppppp mathhhhhhhh

Mathematics
1 answer:
irina1246 [14]3 years ago
6 0
This right triangle with 30°, 60° and 90° is called semi equilateral. Its particularity is that the side opposite to 30° is equal half of the hypotenuse.

Here the longest leg is nothing but the hypotenuse =18.(given):
Let  x be the side opposite to 60° and let's calculate it by Pytaghoras:

18² =(18/2)² + x²,

324 = 81 + x² . Subtract 81 from both sides

324 - 81 = 81 + x² - 81

243 = x² and x = √243 =9√3
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3 years ago
What is that product of 2x + y and 5x -y + 3
poizon [28]

Answer:

10x² + 6x + 3xy + 3y - y²

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, as shown

(2x + y)(5x - y + 3)

= 2x(5x - y + 3) + y(5x - y + 3) ← distributing

= 10x² - 2xy + 6x + 5xy - y² + 3y ( collect like terms )

= 10x² + 6x + 3xy + 3y - y²


7 0
3 years ago
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3x^2+7x+3<br> + 5x^2+12x
Dvinal [7]

Answer:

8x^2+19x

Step-by-step explanation:

Simplify the expression by combining like terms. Terms which look a like and sound a like should be added together.

3x^2+7x+3+5x^2+12x

x^2 terms: 3x^2+5x^2=8x^2

x terms: 7x+12x=19x

constants: 3

Together is is 8x^2+19x+3.

5 0
3 years ago
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Alan bought 20 yards of fencing. He used 5.9 yards in one garden and 10.3 in another. Write remaining as a fraction in simplest
Over [174]
Its 3.8 because if you add 5.9 and 10.3 is 16.2, and if you subtract it by 20, it should equal 3.8.
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3 years ago
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Find three consecutive even interfere such that their sum is 50 more than the largest interfere
Vaselesa [24]

Hm. This is an interesting problem.

Let's see if we can express each of these numbers in terms of x and make an algebra equation to help us solve.

Consecutive even numbers increase by 2.

Let's allow x to equal our first number.

Let's allow x + 2 to equal our 2nd number.

Let's allow x + 4 to equal our 3rd number.

When we add those together, their sum need to equal 50 more than the largest integer (our x + 4)

Let's set it up!

x + (x +2) + (x + 4) = (x + 4) + 50

Simplify!

3x + 6 = x + 54

Let's reorganize the left and right sides.

3x - x = 54 - 6

2x = 48

x = 24 (our 1st even number)

Now, let's check our answer!

24 + 26 + 28 = 78

78 - 50 = 28 Our highest integer.

The sum of consecutive integers 24, 26, 28 is 50 more than the highest integer.

3 0
3 years ago
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