Module Quiz: Modified
1 answer:
You might be interested in
Answer:
The slope of the line of best fit is ⇒ 2nd option
Step-by-step explanation:
The formula of the slope of a line is
<em>To find the slope of the best line fit choose two points their positions make the number of the points over the line equal to the number of the points below the line</em>
From the attached graph points (1 , 9) and (8 , 3) are the best choice
∵ The line passes through points (1 , 9) and (8 , 3)
∴ = 1 and
= 8
∴ = 9 and
= 3
- Substitute them in the formula of the slope
∴
∴ The slope of the line of best fit is
Answer:
∠B = 60°
a = 4.0 units
b = 6.9 units
Step-by-step explanation:
The triangle is right angled. The sum of all angles of a triangle is equal to 180 degrees.
The 3 angles are 90, 30 , ∠B .
<em></em>
Thus, B = 180 - 120 = 60 degrees
by trigonometry,
sin(30) = = 0.5
a = (8)(0.5) = 4 units
Also,
cos(30) = = 0.866
b = (8)(0.866)= 6.928
Answer:
68.17m
Step-by-step explanation:
Please see attached a rough sketch of the scenario
Step one:
Given data
Height of victim= 4.5ft
The horizontal distance of the snipper from the building = 780ft
The angle of elevation= 5 degrees
Required
The vertical distance
The opposite= the vertical distance
789 ft = the adjacent
Step two:
Applying SOH CAH TOA
tan ∅= opp/adj
tan 5= opp/780
cross multiply we have
0.0874= opp/780
cross multiply we have
0.0874*780= opp
opp= 68.17m
The sniper shoots from a vertical distance of 68.17m
