Reading from the graph, we find the vertex (lowest part of the graph) is at (-0.5, -6.5)
The axis of symmetry is a vertical line (in this case) passing through the vertex, namely x=-0.5
Reasons:
(1) Given
(2) their 2 non-common sides in 1 ray
(3) definition of: supplemental angles
(4) Substitution
(5) Opposite angles are congruent (equal)
(6) Substitution
(7) Definition of supplementary angles
Answer:
yes
Step-by-step explanation:
This is because the sum of 2 sides of a triangle has to be greater than the side that was not used
3.906m
Step-by-step explanation:
from the topic angle of elevation and depression
putting down the above question diagrammatically
we have a triangle
The angle of elevation pad looking up = 38°
using the tangent rule TOA
TAN∅= OPPOSITE/ADJACENT
we have
tan 38° = x/5
x= tan 38° × 5
x= 0.781 * 5
x = 3.906m
It takes 8.35 hours for the size of the sample to double
Step-by-step explanation:
The form of the continuous exponential growth model is
, where
- A is the new value
- P is the initial value
- r is the rate of growth or decay in decimal
- t is the time
∵ The growth rate is 8.3%
∴ r = 8.3 ÷ 100 = 0.083
∵ The size of the sample will doubled in t hours
∴ A = 2 P
Use the formula of the contentious exponential growth above
∵ 
- Divide both sides by P
∴ 
- Insert ㏑ in both sides
∴ 
- Remember
because ㏑(e) = 1
∴ 
- Divide both sides by 0.083
∴ 
∴ t = 8.35 hours to the nearest hundredth
It takes 8.35 hours for the size of the sample to double
Learn more:
You can learn more about the logarithmic function in brainly.com/question/1447265
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