Answer:
5.0 ft - 5.6 ft
Step-by-step explanation:
Given that the structure is to be made using two 12 foot boards, then we expect the total perimeter to be equal to (2*12)= 24 ft.
Using the angle of elevation, 40° and the width of 8 ft then you can apply the formula for tangent of a triangle where ;
Tan α = opposite side length/adjacent length
Tan 40°= h/8
h= 8 tan 40° = 6.71 ft
Applying the cosine of an angle formula to find the length of the sliding side
Cosine β = adjacent length /hypotenuse
Cosine 40°= 8/ sliding side length
sliding side length = 8/cosine 40° =10.44 ft
Checking the perimeter = 10.44 +8+6.71= 25.15 ft
This is more than the total lengths of the boards, so you need to adjust the height as;
24 - 18.44 = 5.56 ft ,thus the height should be less or equal to 5.56 ft
h≤ 5.6 ft
To me from the picture, all sides look the same. so I’m guessing it’s probably 11
Answer:
$433.84
Step-by-step explanation:
First, find the amount of money Jennifer earned for regular work time:
8.50 x 43 = 365.50
Then, find the amount of money Jennifer earned for overtime work:
10.50 x 6.5 = 68.25
Finally, add them:
365.50 + 68.25 = 433.75
1. slope of the given line = 1/5
the equation is
(y-2)/(x-(-2))=1/5
x+2=5y-10
x-5y+12=0
2. slope of the given line = -1/6
the equation is
(y-9)/x=6
y-9=6x
y=6x+9
<span>Francios $19.48 per hour Carissa $14 per hour Garrick $19.04 per hour Arianne $25.71 per hour</span>