Answer:
∠ p ≈ 59°
Step-by-step explanation:
Using Pythagoras' identity in right triangle ABD to find DB
DB² = 5² + 6² = 25 + 36 = 61 ( take square root of both sides )
DB =
---------------------------------------
Using the cosine ratio in right triangle DBC
cos p = =
=
, thus
p = (
) ≈ 59°
Answer:
The percent increase of the second year is 400%.
Step-by-step explanation:
Consider the provided information.
Let the population of birds was x.
After 2 years the population becomes 7 times more than before.
Therefore, after 2 years population is 7x.
In first year increase in the population was 40%.
Population after 1st year = x + 40% of x
Population after 1st year = x + 0.40x
Population after 1st year = 1.4x
The population increase from 1st year to 2nd year is: 7x-1.4x=5.6x
Thus the percentage increase is:
Hence, in second year the population of birds increase by 400%.
Answer:
5 rad
Step-by-step explanation:
Recall that the length of an arc of circumference is given by the formula:
, where
is the subtended angle [in radians] from the circumference's center.
Therefore in this case, you know the arc length (81.5 cm), and the radius (16.3 cm), and can solve for the angle using the above equation as shown below:
