Answer:
230.9 ft
Step-by-step explanation:
The side ratios of a 30°-60°-90° triangle are 1 : √3 : 2
In ∆ABC, BC = AB/√3 ≈ 115.47 ft
In ∆ABD, BD = AB√3 ≈ 346.41 ft
Then the length CD is ...
346.41 ft -115.47 ft = 230.94 ft
The distance CD is about 230.9 ft.
Answer:
15
Step-by-step explanation:
Calculation for What is a reasonable estimate of the number of gallons of gas Karl used
Estimated number of gallons used=619.5 miles/41 miles
Estimated number of gallons used=15
Therefore the reasonable estimate of the number of gallons of gas Karl used is 15
What do you need help on.
Answer:
No
Step-by-step explanation:
If the lines are perpendicular then they will be the negative reciprocals of each other.
Calculate the slope using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = P(- 8, - 10) and (x₂, y₂ ) = Q(- 5, - 12)
=
= - 
Repeat the process with
(x₁, y₁ ) = R(9, - 6) and (x₂, y₂ ) = S(17, - 5)
=
= 
The slopes are not the negative reciprocal of each other, thus they are not perpendicular.