9514 1404 393
Answer:
Step-by-step explanation:
These "special" right triangles have side length ratios that it is useful to remember.
<u>45°-45°-90° triangle</u>
Sides have the ratios 1 : 1 : √2. That is, x is √2 times as long as the side length shown as 18.
x = 18√2
<u>30°-60°-90° triangle</u>
Shortest to longest, sides have the ratios ...
1 : √3 : 2
That is, y is √3 times the length of the side marked 18, and z is 2 times the length of the side marked 18.
y = 18√3
z = 2·18 = 36
For this case we have the following definition:
d = v * t
Where,
d: distance
v: speed
t: time
Clearing the time we have:
t = d / v
Substituting values:
t = 1505/420
t = 3,583 hours
Answer:
Flight time hours:
t = 3,583 hours
Answer:
see explanation
Step-by-step explanation:
Given
x +
y +
z = π
let
x = A ,
y = B ,
z = C , so
x = tanA, y = tanB , z = tanC
Substituting values
A + B + C = π ( subtract C from both sides )
A + B = π - C ( take tan of both sides )
tan(A + B) = tan(π - C) = - tanC ( expand left side using addition identity for tan )
= - tanC ( multiply both sides by 1 - tanAtanB )
tanA + tanB = - tanC( 1 - tanAtanB) ← distribute
tanA+ tanB = - tanC + tanAtanBtanC ( add tanC to both sides )
tanA + tanB + tanC = tanAtanBtanC , that is
x + y + z = xyz
Answer:
Step-by-step explanation:
Take the area of the yard and subtract from it the area of the pool. In quadratic form, the area of the pool is

Subtracting the area of the pool from the area of the yard:

Since the negative in front of the parenthesis will change the signs inside:

Combine like terms to get the area left after the pool goes in:

By functional analysis we have the following conclusion about the function given: The domain for f(x) is all real numbers greater than or equal to 2.
<h3>How to determine the domain of a function with radical components</h3>
Domain is the set of x-values such that the value of the function exists. By algebra we know that the domain of polynomials is the set of all <em>real</em> numbers, whereas the domain of <em>radical</em> functions is the set of x-values such that y ≥ 0. If we know that f(x) = 2 · x² + 5 · √(x - 2), then the domain is restricted by the <em>radical</em> component and defined by x ≥ 2.
By functional analysis we have the following conclusion about the function given: The domain for f(x) is all real numbers greater than or equal to 2.
To learn more on functions: brainly.com/question/12431044
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