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°
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1 cup would be the answer
Answer: $139390 must be paid back.
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A = amount to be played back at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount borrowed.
From the information given,
P = 41000
r = 8.5% = 8.5/100 = 0.085
n = 1 because it was compounded once in a year.
t = 15 years
Therefore,
A = 41000(1 + 0.085/1)^1 × 15
A = 41000(1 + 0.085)^15
A = 41000(1.085)^15
A = $139390
After 24 hours, 35.4% of the initial dosage remains on the body.
<h3>What percentage of the last dosage remains?</h3>
The exponential decay is written as:
Where A is the initial value, in this case 2.8mg.
k is the constant of decay, given by the logarithm of 2 over the half life, in this case, is:
Replacing all that in the above formula, and evaluating in x = 24 hours we get:
The percentage of the initial dosage that remains is:
If you want to learn more about exponential decays:
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Answer:
-1
Step-by-step explanation:
Pick two points on the line
(0,1) and ( 2,-1)
Using the slope formula
m = (y2-y1)/(x2-x1)
= ( -1 -1)/(2-0)
= -2/2
= -1
