For solving this we need the change in distance and the change in time. You said that the change in time is 1.8 seconds and the change in distance is 3.6 meters. ( This is assuming it started at 0 meters and started at 0 seconds )
Since the starting was 0,0 we can toss them out as they add no value. Now since speed is labeled (in this case) m/s, we divide how many meters it traveled over how many seconds it took to travel it.
3.6 / 1.8 = 2
The average speed of the cart is 2 m/s
You can draw a right triangle with the informatio.
The vertical change in elevation (unknown) is the opposed leg to the angle 15°
The distance from the surveyor to the point vertically below the point on the mountain is the adjacent leg = 6 miles.
Then tan(15°) = x / 6 => x = 6tan(15) = 1.61 miles
Answer: 1.61 miles
The answer uses NMF for formatting, which you can find out about in my profile if needed:
the equation is this:
time = {total paid - 35}/{15}
Put in what we know:
time = {95 - 35}/{15}
time = {60}/{15}
time = 4 hours
Answer:
Exact Form:
x= -23/2
Decimal:
x= -11.5
Mixed Number:
x= -11/2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
The linear model for the data is expressed as: R = 20p - 160.
<h3>How to Write a Linear Model?</h3>
Using two pairs of values from the table values, say, (32, 480) and (33, 500), find the unit rate (m).
Unit rate (m) = (500 - 480)/(33 - 32) = 20/1
Unit rate (m) = 20.
Substitute (p, R) = (32, 480) and m = 20 into R = mp + b to find b
480 = 20(32) + b
480 = 640 + b
480 - 640 = b
b = -160
To write the linear model, substitute m = 20 and b = -160 into R = mp + b:
R = 20p - 160
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