Answer:
x ≈ 18.7
Step-by-step explanation:
This is a big equation, so let's break it down a bit.
![\frac{3}{2} \sqrt[4]{(2(x-6) ^3 )} +4=16](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%20%5Csqrt%5B4%5D%7B%282%28x-6%29%20%5E3%20%29%7D%20%2B4%3D16)
Let's start by isolating the radical which is x.
So subtract 4 from both sides :
![\frac{3}{2} \sqrt[4]{(2(x-6) ^3)}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%20%5Csqrt%5B4%5D%7B%282%28x-6%29%20%5E3%29%7D)
Now multiply both sides by 2 to get rid of the fraction :
![3\sqrt[4]{(2(x-6)^3)} = 24](https://tex.z-dn.net/?f=3%5Csqrt%5B4%5D%7B%282%28x-6%29%5E3%29%7D%20%3D%2024)
Now divide both sides by 3 to get rid of the number out of the poly root :
![\sqrt[4]{2(x-6) ^3}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B2%28x-6%29%20%5E3%7D)
Now take both sides of the equation to the power of 4 :
And lastly, solve :
which is rounded up to 
≈ 
Answer:
∠ EAC = 50°
Step-by-step explanation:
Since AE is an angle bisector of ∠ BAC , then
∠ EAC = ∠ BAE , that is
3x - 10 = x + 30 ( subtract x from both sides )
2x - 10 = 30 ( add 10 to both sides )
2x = 40 ( divide both sides by 2 )
x = 20
Then
∠ EAC = 3x - 10 = 3(20) - 10 = 60 - 10 = 50°
Answer:
4=x
Step-by-step explanation:
2+2 = 4
4 = x
The dealer's estimated cost of the car is $742.13.
The given parameters:
- Amount offered to the dealer = $150
- Base price of the car, = $24.495
- Options total, = $1.6
- Dealer's cost = 89.7% of the base price + 10% options
- Destination charge = $720
<h3>What is offer price?</h3>
- This the amount a dealer proposes to sell his/her asset.
The total offer price of the car is calculated as follows;
Base and option cost = (0.897 x $24.495) + (0.1 x 1.6)
= $22.13
The total offer price = Base and option cost + destination charge
= $22.13 + $720
= $742.13
Thus, the dealer's estimated cost of the car is $742.13
Learn more about offer price here: brainly.com/question/16710746
