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
Answer:
144
Step-by-step explanation:
19 1/4 miles per hour, you do 12 5/6 divided by 2/3
Answer:
The answer to your question is 10 in
Step-by-step explanation:
Data
Circumference = 20π in
Diameter = ?
Formula
Circumference = 2πr
Process
1.- Equal the formula to the value
2πr = 20π
2.- Solve for r
r = 20π/2π
3.- Simplification
r = 10/2
4.- Find the diameter
diameter = 2r
diameter = 2(10/2)
diameter = 10 in
Answer:
C.
Step-by-step explanation:
Jack's rate = 28/2 = 14 boxes/hour
Walter's rate = 36/3 = 12 boxes/hour
Combined rate = 14 + 12
= 26 boxes/hour
26 = 65/t
26t = 65
