Answer:
<h2>F = 32.2m</h2>
Step-by-step explanation:
According to newton second law, the force of gravity on an object varies directly with its mass and it is expressed mathematically as Fαm i.e
F = mg where;
F is the force of gravity
m is the mass of the body
g is the proportionality constant known as the acceleration due to gravity.
If the constant of variation due to gravity is 32.2ft/s², the equation that represents F, the force on an object due to gravity according to m, the object’s mass can be gotten by substituting g = 32.2 into the formula above according to the law as shown;
F = m*32.2
F =32.2m
Hence the required equation is F = 32.2m
Hello :
answer : <span>B (5x - 3)(2x - 1)
because : </span>(5x - 3)(2x - 1) = 10x²-5x-6x+3 = 10x²-11x+3
Answer:
<h2>9498.5 m</h2>
Step-by-step explanation:
We know that the Circumference = 3454 cm
And we also know that the formula for the Circumference of Circle is,

So we can put the equation this way,

So we can solve for 'r'

Now we have radius and we can solve for the area of the circle,


We can convert this to meter,
9498.5 m
I am not sure if this is correct just let me know thanks :)
Answer:
The passenger train traveled at a speed of 25 miles/hour
Step-by-step explanation:
In this question, we are asked to calculate the rate at which a particular passenger train is traveling.
We use the information in the question to answer as follows;
Firstly, we identify that they traveled at the same time but their distances are different. This means that their speed must be different also.
Mathematically, we know that time can be calculated as distance/ time.
Let us say the speed at which the passenger train traveled is x miles per hour. This means that the speed of the freight train which was 5 miles per hour slower would be (x-5) miles per hour.
We know their times are equal;
Hence;
100/x = 80/(x-5)
We cross multiply
100(x-5) = 80x
100x -500 = 80x
100x-80x = 500
20x = 500
x = 500/20
x = 25 miles per hour