Answer:
The most straightforward way to obtain the expression for cos(2x) is by using the "cosine of the sum" formula: cos(x + y) = cosx*cosy - sinx*siny. cos(2x) = cos² (x) - (1 - cos²(x)) = 2cos²(x) - 1. = 2cos²(x) - 1.
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
10+10+10+10+5=45
Answer:
Step-by-step explanation:
If two triangles are congruent, then the corresponding sides and angles are congruent with each other.
<u>Given:</u>
<u>The following are congruent parts:</u>
- ∠E ≅ ∠U
- RE ≅ SU
- ∠DRE ≅ ∠NSU
- ∠R ≅ ∠S
<u>Note</u> <em>Pay attention to order of vertices when comparing the congruent parts</em>
Answer:
(B) 
Step-by-step explanation:
we can use formula

where
Po is the initial population
r is the growth rate
t is the time in months
We are given
initial population of insects
so, Po=6
The scientists find that the insect population, x, is growing exponentially 20% per month
so, r=0.20
now, we can plug these values

there to be a population of 477 insects
so, P(t)=477
now, we plug it
and we get

Answer:
2/7
Step-by-step explanation: