The resulting triangle is a right triangle with the third side given:
First, the angle can be solved using the given rise and run of the cable. So,
tan θ = 2 / 5
θ = 15.95°
Next, the lengths b and c can be solved using the solved angle:
tan 15.95 = 1320 / b
b = 3300 ft
The hypotenuse or c can be solved by trigonometric functions or using Pythagorean theorem, using the sine function:
sin 15.95 = 1320 / c
c = 4804 ft
Answer:
Step-by-step explanation:
y = csc x
y' = -cot x csc x
![y' = \dfrac{d}{dx} [\csc \sqrt{x}]](https://tex.z-dn.net/?f=%20y%27%20%3D%20%5Cdfrac%7Bd%7D%7Bdx%7D%20%5B%5Ccsc%20%5Csqrt%7Bx%7D%5D%20)
Answer:
c. 2n-6
Step-by-step explanation:
6 less than 2xSteve so 2n-6
3(x−5)/2=2(x+5)/3
Cross-multiply.
(3(x−5))/2=(2(x+5))/3
3(x−5)*(3)=2(x+5)*(2)
9x−45=4x+20
Subtract 4x from both sides.
9x−45−4x=4x+20−4x
5x−45=20
Add 45 to both sides.
5x−45+45=20+45
5x=65
Divide both sides by 5.
5x/5=65/5
x=13
Answer:
-3
Step-by-step explanation:
4x+1=2x-5
-1 -1
4x= 2x-6
-2x -2x
2x=-6
/2 /2
x=-3
