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:
B
Step-by-step explanation:
It can be crossed if sides are same in multiply, as shown in the answer
That would be 15/80=3/16 so it would be 3/16 or unlikely because it is less than half of 16
Answer: the area of the triangle = 10.5 cm²
Step-by-step explanation:
Let 3x=a, 4x=b, 5x=c.
Hence,
P=2*(a+b+c)
36=2*(3x+4x+5x)
36=2*12x
36=24x
Divide both parts of the equation by 24:
1.5 cm=x
a=3x
a=3*1.5
a=4.5 cm
b=4x
b=4*1.5
b=6 cm
c=5x
c=5*1.5
c=7.5 cm
Answer:
Step-by-step explanation:
i dont know man sorry
