<span>The right information from the figure is:
AU = 20x + 108,
UB = 273,
BC = 703,
UV = 444,
AV = 372 and
AC = 589
The similarity of the two triangles leads to:
[AB] / [AC] = [AU] / [AV]
[AB] = [AU] + [UB] = 20x + 108 + 273 = 20x + 381
=> (20x + 381) / (589) = (20x + 108) / 372
Now you can solve for x.
(372)(20x + 381) = (20x + 108)(589)
=> 7440x + 141732 = 11780x + 63612
=> 11780x - 7440x = 141732 - 63612
=> 4340x = 78120
=> x = 18
Answer: x = 18
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Answer:
volume of xy-plane outside the cone = 16π/3
Step-by-step explanation:
using cylindrical coordinates
z² = x² +y² =====>z²=r²=====>z=r
x² + y² =4 ====>r = 2
So, the volume ∫∫∫dV equal
∫(θ = 0 to 2π) ∫(r = 0 to 2) ∫z=0 to r) 1 x (r dz dr dθ) via cylindrical coordinates
= ∫(θ = 0 to 2π) ∫(r = 0 to 2) r² dr dθ
= ∫(θ = 0 to 2π) (1/3)r³ {for r = 0 to 2} dθ
= 2π x 8/3
= 16π/3
just use the process of elemnation to firgure out the awsner to there question
Answer: it will cost $280
Step-by-step explanation:
The diagonal of the rectangular garden divides it into two equal right angle triangles. The diagonal represents the hypotenuse of each right angle triangle. The length and width of the rectangle represents the adjacent and opposite sides of the right angle triangle. To determine the length of the diagonal, d, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore
d² = 24² + 32²
d² = 576 + 1024 = 1600
d = √1600
d = 40 feet
If the path is 2 feet wide, then the area of the path is
Area = 40 × 2 = 80 ft²
If gravel costs $3.50 a square foot, then the cost to install the gravel path is
3.5 × 80 = $280
