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:
y=3/2
Step-by-step explanation:
This line's slope is perpendicular to -2/3 and its y intercept is 0.
Answer:
a square has 4 sides each of those sides is 19in long perimeter is all around the square so you would add 19+19+19+19=79in
Answer:
£5
Step-by-step explanation:
5 boxes will cose 5 x 15.40 = 77 normally.
according to the table, he will get 6.5% discount.
6.5 percent of 77 is 77x0.065 = 5.005 ≈ 5
Answer:
Interest for 1 year is $80.50
Step-by-step explanation:
Simple interest is given by the formula
I =PRT
where I is the interest, P is the principal, R is the rate in decimal form, and T is the time.
P =3500
R=.023
T = 1 (1 year)
I = (3500) * (.023) (1)
I = 80.50
