Answer:
Step-by-step explanation:
Answer:
FG = 9.7ft
Step-by-step explanation:
Find the diagram in the attachment.
The diagram is a right angled triangle since one of its angle is 90°
Using SOH CAH TOA to calculate the length FG which is the hypotenuse.
According to SOH
Sin∠G = Opposite/Hypotenuse
To get the ∠G,
∠F+∠H+∠G = 180°
18°+90°+∠G = 180°
∠G = 180°-108°
∠G = 72°
Sin72° = 9.2/FG
FG = 9.2/sin72°
FG = 9.67feet
FG = 9.7ft (to the nearest tenth of a foot)
Y=mx+b
m=slope
b=yintercept
given
slope=-1/4
yint=5
y=-1/4x+5
10/10 in 1 whole and 1/100 in one whole
here the equation of path is -2x-7=y
let us find slope of this line by using y=mx+b
so slope m=-2
now new path is perpendicular to this path.
product of slopes of perpendiculars is -1
so slope of new path is 1/2
now it passes through (-2,-3) with slope 1/2
using y=mx+b to get value of b
-3=1/2(-2) +b
b=-2
plugging m=-1/2 and b=-2 in y=mx + b to get the final equation as
y=(-1/2) x -2 is the equation of new path