A triangle with lengths 5, 12, and 13 is a Pythagorean triple
The approximate acute angles are 22.6° and 67.4°
Pythagorean triple
Pythagorean triple consist of positive number(a, b, c) such that it obeys the rule:
A triangle whose sides form a Pythagorean triple is called a right angle triangle.
The longest side is the hypotenuse side.
Therefore,
- 5² + 12²
- 25 + 144 = 169
- √169 = 13
Therefore,
5² + 12² = 13²
This means the triangle is a Pythagorean triple.
<h3>Acute angles</h3>
Acute angles are angles that are less than 90 degrees. This means the other two angles are acute angle.
Therefore, let's find them
- tan ∅ = opposite / adjacent = tan ∅ = 5 / 12 = ∅ = 22.6198649155 = 22.6°
- 180 - 22.6 - 90 = 67.4°
learn more on Pythagorean triple here: brainly.com/question/2293263?referrer=searchResults
Answer:
equation: y=35x+1200
a) the rate of change is 35.
b) 1200.
c) The Independent Variable is amount of students per year.
d) The Dependent Variable is the year
I'm not sure about the dependent varaliable, so don't take my word.
Step-by-step explanation:
To divide by a fraction, multiply by its reciprocal.
1) (m² / 9) / (n² / m)
(m² / 9) × (m / n²)
m³ / (9n²)
2) (4 / y) / (2 / (yx))
(4 / y) × (yx / 2)
2x
3) (x² / y) / (1 / y)
(x² / y) × (y / 1)
x²
4) (3 / b) / (9 / a²)
(3 / b) × (a² / 9)
a² / (3b)
5) (x² / 16) / (16 / y²)
(x² / 16) × (y² / 16)
x²y² / 256