Double angle identity for sine:


Factorize the left side.

Pythagorean identity:


so that

Answer:
≈ 23.4
Step-by-step explanation:
A = bh
270 = 15b
b = 18
Now you know the two legs, use the Pythagorean Theorem to find the value of the hypotenuse: a² + b² = c²
15² + 18² = c²
225 + 324 = c²
c² = 549
c = √549
Answer:
h = 55
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
the 2 unknown interior angles = 180 - 2h ( straight angle ), hence
the sum of the 3 angles
180- 2h + 180 - 2h + 40 = 180
400 - 4h = 180 ( subtract 400 from both sides )
- 4h = - 220 ( divide both sides by - 4 )
h = 55
the first answer common ratio is t2/t1=32/16
=2
I'm not sure of the rest
Answer:
Part 1) The exponential function is equal to 
Part 2) The population in 2010 was
Step-by-step explanation:
Part 1) Write an exponential decay function that models this situation
we know that
In this problem we have a exponential function of the form

where
y ----> the fish population of Lake Collins since 2004
x ----> the time in years
a is the initial value
b is the base
we have


substitute
----> exponential function that represent this scenario
Part 2) Find the population in 2010
we have
so
For 
substitute