Answer:
the fire hydrant is 9 meters west and 58 m south of the tower
Step-by-step explanation:
Fire A and Fire B can be represented as a point in the Cartesian coordinate with the tower as the origin. Fire A is 75 meters east and 40 meters south of the tower, It can be represented as (75, -40). Fire B is 37 meters west and 64 meters south of the tower, It can be represented as (-37, -64).
If a point O(x, y) divides a line segment AB in the ratio n:m, with A(
) and B(
), the point O(x, y) is at:
The fire hydrant (x, y) divides Fire A(75, -40) and fire B(-37, -64) in the ratio 3:1(three fourth), hence:
The fire hydrant is at (-9, -58). That is the fire hydrant is 9 meters west and 58 m south of the tower
Answer:
$150
Step-by-step explanation:
Annual Real Estate Tax Rate =1.8%
Value of Bonnie's House = $100,000
Annual Tax= 1.8 % × $100,000 =0.018 × $100,000 = $1,800
Therefore, tax payment on a monthly basis
= $1,800÷12 Months
= $150 per month.
Real estate tax will add $150 per month to Bonnie's mortgage payment.
reflection transformation i believe. Correct me if im wrong im not that smart lol.
We let k be the proportionality constant for the relationship between number of hours, h and speed of the walker, s.
h = k/s
Substituting the known values,
12 = k/5
k = 60
For the second scenario,
h = k/s
Substituting the calculated value for k and the given value for speed,
h = (60)(3 miles/hour)
h = 20 hours
h = 20 hours
Therefore, it will take 20 hours to walk with a speed of 3 miles per hour.
