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
U have a 90% chance of picking an orange marble, 10% of picking a different color
Answer:
A) (2+x)/(4+x) × 100 = 75
B) 4
Step-by-step explanation:
2 out of 4
(2+x) out of (4+x)
(2+x)/(4+x) × 100 = 75
(2+x)/(4+x) = 3/4
8 + 4x = 12 + 3x
x = 4
8 3/5 is between 8 and 9
so point D would be correct
