The length of hypotenuse is 39.
Step-by-step explanation:
Given,
Vertical side = a = 15
Horizontal side = b = 36
Hypotenuse = c
Using pythagorean theorem

Taking square root on both sides

The length of hypotenuse is 39.
Keywords: square root, addition
Learn more about square roots at:
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So
x=hours
y=pay
use a piecewise function maybe
for x≤40, use y=21x
for x>40, use 840+1.5(21(x-40))
k, sso 46>40 so
840+1.5(21(46-40))
840+1.5(21(6))
840+1.5(126)
840+189
1029
A. 840+1.5(21(x-40))
B. $1029
<h3>Answer: Choice D)

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Explanation:
Use a calculator to find the decimal form of each of the following below (values are approximate; rounded to 2 decimal places)
- 2pi = 6.28
- sqrt(42) = 6.48
- sqrt(34) = 5.83
We see that the order of the decimal values is: 5.83, 6, 6.28, 6.48
So the order of the terms, from smallest to largest, is 
To answer your question, this could be the possible answer and i hope you understand and interpret it correctly:
<span>[Integrate [0, 1/2] xcos(pi*x
let u=x so that du=dx
and v=intgral cos (xpi)dx
v=(1/pi)sin(pi*x)
integration by parts
uv-itgral[0,1/2]vdu just plug ins
(1/pi)sinpi*x]-(1/pi)itgrlsin(pi*x)dx from 0 to 1/2
(1/pi)x sinpi*x - (1/pi)[-(1/pi) cos pi*x] from 0 to 1/2
=(1/2pi)+(1/pi^2)[cos pi*x/2-cos 0]
=1/2pi - 1/2pi^2
=(pi-2)/2pi^2 ans</span>
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