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:
y = -0.5x - 2
Step-by-step explanation:
equation: f(x) = mx + b
f(-4) : -4m + b = 0 ...(1)
f(0): 0m + b = -2 b = -2 ... plug in (1)
-4m - 2 = 0
m = - 1/2 = - 0.5
linear equation: y = -0.5x - 2
Answer:
The first store
Step-by-step explanation:
3sweaters->$44.99
4sweaters->x
x=4×44.99/3 x=$59.98
3sweaters->$52.00
4sweaters->x
x=4×52/3 x=$69.33
first store<second store
59.98<69.33
Answer:
Step-by-step explanation:
Given that during the period from 1790 to 1930, the US population P(t) (t in years) grew from 3.9 million to 123.2 million. Throughout this period, P(t) remained close to the solution of the initial value problem.
a) 1930 population is the population at time t = 40 years taking base year as 40
We can solve the differential equation using separation of variables
Resolve into partial fractions
Integrate to get
ln P -0.00474/0.0001489 (ln (0.0001489P-0.03135) = t+C
ln P -31.833 (ln (0.0001489P-0.03135) =t+C
Limiting population would be infinity.
Answer:
-3
Step-by-step explanation:
Just subtract it like it was the other way around then add a minus (-)
