First you check for Pythagoras' Theorem.
Is 8.6² = 8.1² + 2.6² ?
8.1² + 2.6² = 65.61 + 6.76 = 72.37
8.6² = 73.96
8.1² + 2.6² ≠ 8.6²
Since Pythagoras' Theorem is not satisfied it is not a right angled triangle.
The longest side is 8.6, let's find the angle facing the longest side 8.6.
By cosine formula CosA = (b² + c² - a²) / (2bc)
CosA = (2.6² + 8.1² - 8.6²) / (2*2.6*8.1) = -1.59/42.12 = -0.0377
A = Cos inverse (-0.0377) = 92.1 degrees
So there is an angle is greater than 90 degrees.
Answer:
it would take 30k minutes, equivalent to 500 hours/almost 21 days/almost 3 weeks
Step-by-step explanation:
Complete question is;
A skull cleaning factory cleans animal skulls and other types of animals using flesh eating Beatles. The factory owner started with only 13 adult beetles.
After 35 days, the beetle population grew to 26 adult beetles. How long did it take before the beetle population was 13,000 beetles?
Answer:
349 days.
Step-by-step explanation:
We are given;
Initial amount of adult beetles; A_o = 13
Amount of adult beetles after 35 days; A_35 = 26
Thus can be solved using the exponential formua;
A_t = A_o × e^(kt)
Where A_t is the amount after time t, t is the time and k is a constant.
Plugging in the relevant values;
26 = 13 × e^(35k)
e^(35k) = 26/13
e^(35k) = 2
35k = In 2
35k = 0.6931
k = 0.6931/35
k = 0.0198
Now,when the beetle population is 12000,we can find the time from;
13000 = 13 × e^(k × 0.0198)
e^(k × 0.0198) = 13000/13
e^(k × 0.0198) = 1000
0.0198k = In 1000
0.0198k = 6.9078
k = 6.9078/0.0198
k ≈ 349 days.
Answer:
The lines will cross at (5,3)
Step-by-step explanation:
Answer:
c = -13.78.
Step-by-step explanation:
21.2x + c ≡ 5.3(4x - 2.6)
21.2x + c ≡ 21.2x - 13.78
Equating constant terms:
c = -13.78.
