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: 38 over 49 can be written as 38/49. When divided, you will get 0.77551020408. It takes lots of regrouping, but it ends eventually.
If you are reducing it as a fraction, it is not possible because there is no other number to reduce it, so it will be in it's simplest form already.
you do 47%/100% and X/896 and cross multiply . so 47 times 896 = 42112 and divide that by hundred so the answer should be 421 photos.
Answer:
x < 3
Step-by-step explanation:
4x +6 < 18
add and subtract 6 from both sides
4x + 6 - 6 < 18 -6
4x < 12
x< 12/4
X < 3
