Answers:
- AB = 9 (vertical leg)
- AC = 40 (horizontal leg)
- BC = 41 (hypotenuse
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Explanation:
We're told that
cos(B) = 9/41
Since the cosine ratio involves adjacent/hypotenuse, we can see that the adjacent side is 9 and the hypotenuse is 41. For angle B, the adjacent side is the leg closest to the angle in question. So that would be side AB.
Therefore, AB = 9 and BC = 41 are the adjacent and hypotenuse for reference angle B.
Apply the pythagorean theorem to solve 9^2+x^2 = 41^2, and you should get x = 40. This is the other leg of the triangle. Or you could note how tan(C) = 9/40 to imply that AC = 40 is the adjacent side for reference angle C.
The value of w(u(4)) is 73.
u( x ) = - 2*x + 2
w( x ) = 2*x^2 + 1
w( u( x ) ) = w( - 2*x + 2 )
⇒ w( u( x ) ) = 2*( - 2*x + 2 )^2 + 1
⇒ w( u( x ) ) = 2*[ 2^2 + ( 2*x )^2 - 2*2*( 2*x ) ] + 1
⇒ w( u( x ) ) = 2*[ 4 + 4*x^2 - 8*x ] + 1
⇒ w( u( x ) ) = 8 + 8*x^2 - 16*x + 1
⇒ w( u( x ) ) = 8*x^2 - 16*x + 9
⇒ w( u( 4 ) ) = 8*4^2 - 16*4 + 9
⇒ w( u( 4 ) ) = 8*16 - 16*4 + 9
⇒ w( u( 4 ) ) = 128 - 64 + 9
⇒ w( u( 4 ) ) = 73
In mathematics, a feature from a set X to a fixed Y assigns to each detail of X exactly one detail of Y. The set X is called the domain of the function and the set Y is referred to as the codomain of the function. features were firstly the idealization of how various quantity relies upon any other quantity.
These elementary functions include
- rational functions,
- exponential functions,
- basic polynomials,
- absolute values
- square root function.
A function is defined as a relation between a set of inputs having one output each. In simple phrases, a function is a courting among inputs wherein every entry is associated with exactly one output. every function has a site and codomain or range. A characteristic is normally denoted through f(x) in which x is the input.
Learn more about function here: brainly.com/question/6561461
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The doctor's cost for a set of scrubs is $47.60
Given:
cost = $34
mark-up = 40%
Mark up based on cost:
$34 * 40%/100% = $13.60 mark up
New price or doctor's cost:
$34 + 13.60 = $47.60
It can also be computed this way.
$34 * 140%/100% = $47.60
