we know that
<u>The Side-Splitter Theorem</u>: States that If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those two sides proportionally
so
in this problem

therefore
<u>the answer is</u>
The segment length is GJ
Answer:
my life sucks so its 3475
Step-by-step explanation:
<h3><u>Question:</u></h3>
Aubrey's dinner cost $85 . She tips the waitstaff 30% for excellent service. How much does Aubrey tip the waitstaff?
<h3><u>Answer:</u></h3>
Aubrey paid $ 25.5 to the wait staff
<h3><u>Solution:</u></h3>
Given that, Aubrey's dinner cost $ 85
She tips the waitstaff 30% for excellent service
We have to find the amount paid as tip to wait staff
Cost = $ 85
Tip = 30 %
So the tip amount paid is 30 % of 85
<h3><u>Find out 30 % of 85</u></h3>

Thus Aubrey paid $ 25.5 to waitstaff
Answer:
The amount of work required to remove all of the water by pumping it over the side = 3.12 × 10⁶ lbs.ft
Step-by-step explanation:
Work done in moving anything from point A to point B = Fx
For this setup,
If we take an elemental vertical height, dx, The volume would be A.dx
where A = Cross sectional Area = πr² = π(18)² = 1017.88 ft²
dV = 1017.88 dx
The elemental force on that part will be
dF = ρg dV
ρg = 63.8 lbs/ft³
dF = 63.8 × 1017.88 dx = 64940.5 dx
F = ∫dF = 64940.5 dx
W = Fx = (∫dF)x = ∫ 64940.5x dx = 64940.5 ∫ xdx
We'll be integrating from (11 - 6) ft to 11 ft because that's the total height it'll be pumped through
W = 64940.5 (x²/2)¹¹₅ = 64940.5((11² - 5²)/2) = 3.12 × 10⁶ lbs.ft
Answer:
![\dfrac{\sqrt[5]{810x^3}}{3x}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt%5B5%5D%7B810x%5E3%7D%7D%7B3x%7D)
Step-by-step explanation:
As a rule, the "simplified form" means there are no fractions under a radical.
![\sqrt[5]{\dfrac{10x}{3x^3}}=\sqrt[5]{\dfrac{10x(3^4x^2)}{3x^3(3^4x^2)}}=\sqrt[5]{\dfrac{810x^3}{(3x)^5}}=\boxed{\dfrac{\sqrt[5]{810x^3}}{3x}}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B%5Cdfrac%7B10x%7D%7B3x%5E3%7D%7D%3D%5Csqrt%5B5%5D%7B%5Cdfrac%7B10x%283%5E4x%5E2%29%7D%7B3x%5E3%283%5E4x%5E2%29%7D%7D%3D%5Csqrt%5B5%5D%7B%5Cdfrac%7B810x%5E3%7D%7B%283x%29%5E5%7D%7D%3D%5Cboxed%7B%5Cdfrac%7B%5Csqrt%5B5%5D%7B810x%5E3%7D%7D%7B3x%7D%7D)