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Please answer me x and y
2 answers:
Answer:
<h2>x = 5√3</h2><h2>y = 15</h2>Step-by-step explanation:
Look at the picture.
ΔABC, ΔDBA and ΔDAC are the triangles 30° - 60° - 90°. The sides are in ratio 1 : √3 : 2.
Therefore
<h3>in ΔDAC:</h3>DC : AD : AC = 1 : √3 : 2
If AC = 10, then DC = 10 : 2 = 5 and AD = x = 5√3
<h3>in ΔDBA:</h3>AD : BD : AB = 1 : √3 : 2
If AD = 5√3, then AB = 2 · 5√3 = 10√3 and BD = y = 5√3 · √3 = 5 · 3 = 15
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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