Hi, there.
For this question, we can apply the Pythagorean theorem .
I'm sure you've seen this equation before, and they kind of tried to trip you up with this problem. Trust me, it's easier than it looks. Let's break it down.
Lengths a and b both have the value of 48, which means that the value s in is 48, because the length of the hypotenuse is the same as the length and height squared multiplied by 2.
Plug in the value for c:
Plug in the value for s:
Do the innermost exponents first:
The square root symbol and the power of 2 cancel each other out, so we are left with:
s = , so the hypotenuse is 4608 inches.
Answer:
There are 20 European Butterflies.
Step-by-step explanation:
To determine the number of European Butterflies in the park, knowing that there are 80 North American Butterflies there, and that the ratio of each species is 8: 5 for North American and South American butterflies, and 5: 2 for South American and European butterflies, it must be done the following logical reasoning:
Given that there are 8 North American butterflies for every 5 South American, and 5 South American for every 2 European, it could be said that there are 8 North American butterflies for every 2 European (8: 2).
Thus, if there were 80 North American butterflies, the number of European butterflies in the park would be 20.
Answer:
2gramm/millimeters
Step-by-step explanation:
From the question we were given 5
gram ball with a volume of 2.5 milliliters.
Then What is the density of the ball?
Density of a substance is the mass of the substance per it's unit volume
It can be expressed below as
Density= mass/ volume
Mass= 5gram
Volume= 2.5millimetre
Then substitute we have
Density=5/2.5
=2g/mm
Therefore, density of the ball is 2gramm/millimeters
<u>The </u><u>function </u><u>which represents the modified design of the roller coaster is </u><u>Y = 2f(0.15x²-10x+C).</u>
What define a function?
A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Here, the function: Y = 2f(0.3x - 1) + 10
Therefore, to transform the function
We have to compare with a general function and integrate.
g(x) = f(bx + c).
We now integrate to transform the function which gives us
Y = (2f) integral {0.3x - 1} + 10
Y = 2f { 0.15x² - x } + 10x + c
Y = 2f(0.15x²-10x+C)
Modified design of roller coaster is
Y = 2f(0.15x²-10x+C)
Thus, the function which represents the modified design of the roller coaster is Y = 2f(0.15x²-10x+C).
Learn more about function
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