Answer:
20 grams
Step-by-step explanation:
Let g represent the grams of solution that were replaced. Then the amount of alcohol in the mix is ...
16%·(120 -g) +100%·g = 30%·120
19.2 +0.84g = 36.0 . . . . simplify
0.84g = 16.8 . . . . . . . . . .subtract 19.2
g = 20 . . . . . . . . . . . . . . .divide by 0.84
20 grams of solution were taken out and replaced.
The length of ladder used is 12.25 ft.
<h3>What is Pythagoras theorem?</h3>
Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse .
The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
example:
The hypotenuse of a right-angled triangle is 16 units and one of the sides of the triangle is 8 units. Find the measure of the third side using the Pythagoras theorem formula.
Solution:
Given : Hypotenuse = 16 units
Let us consider the given side of a triangle as the perpendicular height = 8 units
On substituting the given dimensions to the Pythagoras theorem formula
Hypotenuse^2 = Base^2 + Height^2
16^2 = B^2 + 8^2
B^2 = 256 - 64
B = √192 = 13.856 units
Therefore, the measure of the third side of a triangle is 13.856 units.
given:
base= 2.5 ft,
perpendicular= 12 ft
Using Pythagoras theorem,
H² = B² + P²
H² = 2.5² + 12²
H² = 6.25+ 144
H= 12.25 ft
Learn more about Pythagoras theorem here: brainly.com/question/343682
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I think the answer it’s 2/3 I hope it helps
Answer:
x<-7
Step-by-step explanation: