9514 1404 393
Answer:
38.5°
Step-by-step explanation:
You are given all three side lengths of the relevant triangle, so the Law of Cosines can be used to find any desired angle. If we call the desired angle C, then that law tells you ...
C = arccos((a² +b² -c²)/(2ab))
where a and b are the triangle side lengths adjacent to the angle of interest, and c is the side opposite. Here, 'a' and 'b' are the pole and cable lengths, and 'c' is the distance of the stake from the pole.
C = arccos((35² +48² -30²)/(2·35·48)) = arccos(2629/3360)
C ≈ 38.515°
The cable makes an angle of about 38.5° with the pole.
Answer:
= 270 ⇒ Last answer
Step-by-step explanation:
* If f(x) = 7 + 4x
* If g(x) =
* We want to find
- Lets find at first
∵ f(x) = 7 + 4x
∵ g(x) =
∴
- Lets divide the numerator by the denominator
∵ The numerator is 7 + 4x
∵ The denominator is
∴ (7 + 4x) ÷
- Lets reverse the division sign to multiplication sign and reciprocal
the fraction after the division sign
∴ (7 + 4x) ×
∴ = 2x(7 + 4x)
∴ = 14x + 8x²
- Now substitute x by 5
∴ = 14(5) + 8(5)² = 70 + 200 = 270
∴ = 270
There are many ways to solve simultaneous linear equations. One of my favorite for finding integer solutions is graphing. The attached graph shows the solution to be ...
... (x, y) = (4, 7)
_____
You can also use Cramer's Rule, or the Vedic math variation of it, which tells you the solution to
is given by
Here, that means
... x = (9·67-5·75)/(9·8-5·3) = 228/57 = 4
... y = (75·8-67·3)/57 = 399/57 = 7
_____
A (graphing) calculator greatly facilitates either of these approaches.
