14.
1 answer:
You might be interested in
Answer:
Therefore the measures of the angles are 22.5° and 67.5°.
Step-by-step explanation:
Complementary Angles:
Two angles are Complementary when they add up to 90 degrees.
Example 40° and 50° are Complementary Angles.
If 'x' and 'y' are Complementary Angles the we have
Here,
Let the common multiple be 'x '
Then the the Complementary Angles will be 'x' and '3x'.
....property of Complementary Angles.
Solving the equation we get
Substituting 'x' values we get
x= 22.5°
3x = 3 × 22.5 = 67.5°
Therefore the measures of the angles are 22.5° and 67.5°.
The particular solution to the differential equation which describes the number of fish over time will be y = 40(0.99)^t.
<h3>What is an exponent?</h3>Consider the function:
y = a (1 ± r) ˣ
Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is a plus sign, then there is exponential growth happening by r fraction or 100r %
If there is a minus sign, then there is exponential decay happening by r fraction or 100r %
A population of endangered salmon, S(t), starts out with 40 fish and decreases proportionally at a rate of 0.01 fish per year. Let t be measured in years.
Let y be the number of fish over time (t).
Then we have
Then the particular solution to the differential equation which describes the number of fish over time will be y = 40(0.99)^t.
More about the exponent link is given below.
#SPH1