The distance covered by the hiker if he traveled a horizontal distance of 120 ft at and angle of 6° will be given by:
cos θ=adjacent/hypotenuse
let the hypotenuse be h, adjacent =120 ft, θ=6°, thus plugging in the values we shall have:
cos 6=120/h
h=120/cos 6
h=120.661 ft
Answer: 120.661 ft
Using the washer method, the volume is given by the integral

where 3 - 1 = 2 is the distance from <em>y</em> = 3 to the axis of revolution, and similarly (1 + sec(<em>x</em>)) - 1 = sec(<em>x</em>) is the distance from <em>y</em> = 1 + sec(<em>x</em>) to the axis. The integrand is symmetric about <em>x</em> = 0, so the integral "folds" in on itself, and the integral from -π/3 to π/3 is twice the integral from 0 to π/3.
So the volume is

We have
that
Cost
use of a backhoe----------------------$300 an hour
<span> Estimate for equipment rental each week---------------------$18,400</span>
Total
hours operator per week--------------------------------------40
<span> 40*300</span>=$12000---------------------it
is the cost per week to use a backhoe
$12000<$18400 is ok
<span> The maximum of hours that I can rent </span>a backhoe <span> are 40 hours, since it is the limit of the
operator and it do not overcome the total budget </span>
The value of x=9° and ∠B=40°
Step-by-step explanation:
From angles relationship, ∠A =∠B=corresponding angles
5x-5°=3x+13°
5x-3x=13°+5°
2x=18°
x=18/2 =9°
∠B=3x+13°= 3×9°+13° = 27° +13° =40°
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Corresponding angles: brainly.com/question/12274210
Keyword : Angle
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Call the mystery fraction ' F ' (for 'fraction').
12 is the mystery fraction of 30 .
12 = F x 30
Divide each side by 30 : F = 12/30 = 2/5 .