The point that divides AB into a 3:2 ratio is calculated by (d) for a ratio of 3:2, divide AB into 5 equal parts. Each equal part is 2 units, so the point that divides AB into a 3:2 ratio is 2
<h3>How to determine the ratio?</h3>
The given parameters are:
A = -4
B = 6
Start by calculating the length AB using:
AB = |B - A|
This gives
AB = |6 -(-4)|
Evaluate
AB = 10
Next, the length is divided into 5 parts.
So, the length of each part is:
Length = 10/5
Length = 2
The point on the location 3 : 2 is then calculated as:
Point = A + 3 * Length
This gives
Point = -4 + 3 * 2
Evaluate
Point = 2
The above computation is represented by option (d)
Read more about number lines at:
brainly.com/question/4727909
#SPJ1
Given the data above, we can calculate the rate of the driving of the car. rate is equal to miles driven per gallon which is computed to be 28 miles per gallon. In this case, if we are asked to determine the number of gallons to drive 420 miles, then 420 miles / 28 miles per gallon equal to 15 gallons.
Answer:
48 miles per hour
Step-by-step explanation:
José left Westcliffe on his bicycle riding at an average rate of 8 miles per hour five hours before his father left by automobile. The father overtook José in exactly one hour. This means Jose was riding
5 hours + 1 hour = 6 hours.
Use formula

where
D = distance
r = rate
t = time
In Jose's case,
D = unknown
r = 8 miles per hour
t = 6 hours
Hence,

In Jose's father case,
D = 48 miles
r = unknown
t = 1 hour (father overtook José in exactly one hour)
Hence,

Tangent (angle) = opposite / adjacent
tangent (angle) = 8,749 / 675
tangent (angle) = 13
arc tangent (13) = 85.601 Degrees
answer is D