Answer:
Step-by-step explanation:
In a 30-60-90 triangle, the ratio of the lengths of the angles' opposite sides are <em>1-√3-2</em>.
If the long leg is 8, then the short one is 8/√3, or <em>8√3/3</em>.
Therefore, the hypotenuse, which is <em>double the short leg</em>, is 16√3/3.
1) 0.20%
2)$49.98×50% = $24.99
$49.98×30% = $14.99
$49.98-$14.99 = $34.99
$34.99×20% = $7.00
$34.99-$7.00 = $27.99
Answer:

Step-by-step explanation:
We know we have to write an algebraic equation for the sentence - so "translate" the phrases of the sentence step-by-step. Let the unknown number be represented by the variable n, as the question states.
Start with the phrase "the sum of a number and 4.4." A sum comes as a result of adding numbers together - therefore the first part of the equation must be
.
Next, the sentence says "is 8.1." The "is" indicates that the expression we just wrote equals something, so that number must be 8.1. Therefore, the whole equation must be
.
The answer is x=-7 you just have to cancel the like factors out n you don’t have to divide nothing in this equation.
(-2x + 10y)(4x - 6y) =
-2x(4x - 6y) + 10y(4x - 6y) =
-8x^2 + 12xy + 40xy - 60y^2 =
-8x^2 + 52xy - 60y^2 <==