First, we'll want to write out the equation
then reduce what we can
so this means n can equal any whole number between 9 4/9 & 12, which gives us the options of {10,11}
Step-by-step explanation:
<h2>1. kinetic energy = 1/2 mass× velocity²</h2>
mass= 5.2. velocity =2.4
thus, 1/2 × 5.2×2.4×2.4
<h3>= 14.97joule</h3>
<h2>2. potential energy = mass× acceleration × height </h2>
mass=5.2. height=5.8 g=9.8
=5.2×5.8×9.8
<h3>= 295.5 joule</h3>
<h2>3. mechanical energy = potential energy + kinetic energy </h2>
= 295.5+14.97
<h3>=310.47 joule</h3>
hope it helps :)
The shape of distribution for a polygon of the average annual rainfall in Los Angeles over the past 110 years would be normal.
<h3>How to determine the
shape of
distribution?</h3>
In Statistics, the shape of distribution of a data set can be determined by examining the frequency distribution, which explicitly shows the number of score or numerical data associated with each member of a population.
Over the past 110 years, we can logically deduce that the shape of distribution for a polygon of the average annual rainfall in Los Angeles would be normal because very few number of years had extremely low rainfall, high rainfall and many years with average rainfalls.
Read more on frequency distribution here: brainly.com/question/20744563
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Answer:
- front/back: 106 2/3 ft
- sides: 135 ft
Step-by-step explanation:
These problems are easily solved if you start with the knowledge that the solution makes the front/back cost equal to the side cost.
Suppose we define the length of the front as x. Then the total cost of the front and back is (2x)(81) = 162x.
If y is the length of the side of the building, then (2y)(64) = 128y is the total cost of the sides of the building. When these costs are equal, we have ...
162x = 128y
y = (162/128)x
The floor area is ...
xy = 14400 = x(162/128)x
x = √(14400·128/162) = √(11377 7/9) = 106 2/3
y = (162/128)x = 135
The front/back of the building measure 106 ft 8 inches; the sides measure 135 feet.
_____
<em>Solution using derivatives</em>
Using the above variable definitions, we can find the side length as ...
y = 14400/x
so the total cost is then ...
c = 162x + 128(14400/x)
We want the derivative with respect to x to be zero:
dc/dx = 0 = 162 -128·14400/x^2
Solving for x gives ...
x = √(14400·128/162) = 106 2/3 . . . . . compare to the solution above
y = 14400/(106 2/3) = 135
You're a bot. If you aren't I'm sorry but your name is like the exact same as a bunch of others