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:
Step-by-step explanation:
- ×
What this question means is that there is a certain number 1x2 that is divisible by 11.
we can simply see what kind of candidates there are. Let's start with 10*11=110.
now, how much is 11*11? it's 121, so not.
12*11? it's 132, and it fits into the question, and the missing number is 3!
so they each paid 12 dollars and gave 132 dollars to the speaker.
Answer:
A= -40
B= 16
C= 40
D= 50
Step-by-step explanation:
I believe that the answer is 6. Feel free to check yourself but i think its 6