Answer:2
Step-by-step explanation:
Answer:
x=−18
Step-by-step explanation:
Let's solve your equation step-by-step.
x
3
+4=−2
Step 1: Simplify both sides of the equation.
1
3
x+4=−2
Step 2: Subtract 4 from both sides.
1
3
x+4−4=−2−4
1
3
x=−6
Step 3: Multiply both sides by 3.
3*(
1
3
x)=(3)*(−6)
x=−18
Step-by-step explanation:
Given that,
The length of a ladder, H = 20 feet
The height of the wall, h = 15 ft
We know that,
![\sin\theta=\dfrac{h}{H}](https://tex.z-dn.net/?f=%5Csin%5Ctheta%3D%5Cdfrac%7Bh%7D%7BH%7D)
h is perpendicular and H is hypotenuse
So,
![\sin\theta=\dfrac{15}{20}\\\\\theta=\sin^{-1}(\dfrac{15}{20})\\\\\theta=48.59^{\circ}](https://tex.z-dn.net/?f=%5Csin%5Ctheta%3D%5Cdfrac%7B15%7D%7B20%7D%5C%5C%5C%5C%5Ctheta%3D%5Csin%5E%7B-1%7D%28%5Cdfrac%7B15%7D%7B20%7D%29%5C%5C%5C%5C%5Ctheta%3D48.59%5E%7B%5Ccirc%7D)
Now using Pythagoras theoerm,
![b=\sqrt{H^2-h^2}\\\\b=\sqrt{20^2-15^2}\\\\b=13.2\ ft](https://tex.z-dn.net/?f=b%3D%5Csqrt%7BH%5E2-h%5E2%7D%5C%5C%5C%5Cb%3D%5Csqrt%7B20%5E2-15%5E2%7D%5C%5C%5C%5Cb%3D13.2%5C%20ft)
Hence, the angle made by the ladder and the ground is 48.59° and the ladder is 13.2 feet from the wall on the ground.
Let 0.25x is the price increase. Therefore, the number of attendees will be 350-10x and the revenue R=(350-10x)*(5+0.25x)=1750+37.5x-2.5x^2. This parabola has maximum at x=10, meaning the price=7.5