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madreJ [45]
3 years ago
10

A Train travels at a constant rate of 45 miles per hour. What is the distance,d,in miles,that the train travels in (t) hours ?

Mathematics
1 answer:
Virty [35]3 years ago
7 0
The train would travel 45 miles in 1 hour if it is going 45 miles per hour.
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Which number is between 6 1/8 and the square root of 64?
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Answer:

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Step-by-step explanation:

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3 years ago
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The force F of gravity on a rocket varies directly with its mass m and inversely with the square of its distance d from Earth. W
xz_007 [3.2K]

Model for the Combined variation  is  F = \frac{km}{d^{2} }

Equation to find the mass of the rocket in terms of F and d is :

m=\frac{F d^{2} }{k}

<h3>What is Force ?</h3>

A force is the quantity that change the motion of the object. Force is that influence which can cause any object having some mass, to change it's position or to accelerate from it's original position.

Force (F) and mass (m) of any object are  directly proportional to each other. More the mass of the object , more the force will require to accelerate it.

Mathematically, we can write the equation of force as :

F = m . a

where , m = mass of the object

             a = constant value

In the statement given,

As, force of gravity varies directly with its mass

Therefore, F= k m , where k is a constant

Also force is inversely varies with square of distance d

Thus, F = k / d²

Combining both equations :

F = \frac{km}{d^{2} }  

and the equation of mass in terms of F and d can be written as :

m=\frac{F d^{2} }{k}

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1 year ago
Samuel orders four DVDs from an online music store. Each DVD costs $9.96. He has a 25% discount code, and sales tax is 7.75%. Ro
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Samuel's order will ultimately cost $39.84.

One DVD Samuel purchased cost $9.96.

He purchased four DVDs in total.

as a result, his total outlay will be 4 * 9.96 = $39.84.

The 7.75% sales tax that must be paid is disclosed to us.

Adding 7.75% to $39.84 yields

39.84 x 7.75/(100) (100)

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Consequently, the total amount of tax due is $3.0876.

Using 25% of 39.84 to calculate a 25% discount,

39.84 x 25/100

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as a result, the updated purchase price will be,

39.84-9.96

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adding the tax to the updated price,

9.96+29.88

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Consequently, Samuel's order will ultimately cost $39.84.

<h3>How are percentages calculated?</h3>

One must compute percentage in order to determine the proportion of a whole that is stated in terms of 100. A percentage can be determined using one of two methods:

using the unitary method.

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Sam wants to install a zip line across a ravine. One side is of the ravine is 45 feet tall while the other side is 65 feet. If t
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The difference of the heights is 65-45=20 feet, and the length of the ravine is 21 feet.  By the Pythagorean Theorem, the length of the zipline is sqrt(20^2+21^2)=sqrt(841)=29.
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3 years ago
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