Given :
Hight of the van from the ground, h = 3 feet.
The ramp into the van makes a 12° angle with the ground.
To Find :
How long is the ramp.
Solution :
Let, length of ramp is l .
So, height of ramp in terms of length is given by :
![h = l \times sin\ 12^o\\\\l = \dfrac{h}{sin \ 12^o}\\\\l = \dfrac{3}{sin \ 12^o}\\\\l = 14.429 \ feet](https://tex.z-dn.net/?f=h%20%3D%20l%20%5Ctimes%20sin%5C%2012%5Eo%5C%5C%5C%5Cl%20%3D%20%5Cdfrac%7Bh%7D%7Bsin%20%5C%2012%5Eo%7D%5C%5C%5C%5Cl%20%3D%20%5Cdfrac%7B3%7D%7Bsin%20%5C%2012%5Eo%7D%5C%5C%5C%5Cl%20%3D%2014.429%20%5C%20feet)
Hence, this is the required solution.
Answer:
2/3
Step-by-step explanation:
I assume the 2 after the j is a square. So, we bring the 21 to the other side by subtracting it from both sides, getting 144j^2=64. Now we divide to get 64/144 = j^2. Make sure NOT to simplify it, it's perfect right now. The square root of that is
, or 8/12, which we can now simplify to 2/3. Hope this helps!
7 - 4 ( d - 3) = 23
7 - 4d + 12 = 23
Subtract 12 from both sides,
7 - 4d = 11
Subtract 7 to both sides
- 4d = 4
Divide -4 to both sides
d = -1
Answer:
m = 2, n = - 3
Step-by-step explanation:
Given the 2 equations
2m + 3n = - 5 → (1)
5m + 3n = 1 → (2)
Subtract (2) from (1) term by term to eliminate n
2m - 5m = - 5 - 1
- 3m = - 6 ( divide both sides by - 3 )
m = 2
Substitute m = 2 into either of the 2 equations and solve for n
Substituting into (1)
2(2) + 3n = - 5
4 + 3n = - 5 ( subtract 4 from both sides )
3n = - 9 ( divide both sides by 3 )
n = - 3
i think its f it just seems to be the most reasonable awnser a and i dont know this stuff :P
Step-by-step explanation: