65 yards because of a2+b2=c2
Answer:

y = -9 + 75 = 66
x = 27-(-11) = 27 + 11 = 38
slope = 66/28
Find the GCF of 24 and 30
24 30
1×24 1×30
2×12 2×15
3×8 3×10
4×6 5×6
The common factors are 1, 2, 3, and 6
That means we can make 6 necklaces, each necklace with 4 jade beads and 5 teak beads.
Answer:
2x + 20 = 3x-10
2x -3x = -20-10
-x = -30
x= 30
Checking part:
2x+20 = 2(30) +20 = 60+20 = 80
3x-10 = 3(30) - 10 = 90-10 = 80
Hence, the final answer is x = 30.
Step-by-step explanation:
Answer:
Radius =6.518 feet
Height = 26.074 feet
Step-by-step explanation:
The Volume of the Solid formed = Volume of the two Hemisphere + Volume of the Cylinder
Volume of a Hemisphere 
Volume of a Cylinder 
Therefore:
The Volume of the Solid formed

Area of the Hemisphere =
Curved Surface Area of the Cylinder =
Total Surface Area=

Cost of the Hemispherical Ends = 2 X Cost of the surface area of the sides.
Therefore total Cost, C

Recall: 
Therefore:

The minimum cost occurs at the point where the derivative equals zero.


![-27840+32\pi r^3=0\\27840=32\pi r^3\\r^3=27840 \div 32\pi=276.9296\\r=\sqrt[3]{276.9296} =6.518](https://tex.z-dn.net/?f=-27840%2B32%5Cpi%20r%5E3%3D0%5C%5C27840%3D32%5Cpi%20r%5E3%5C%5Cr%5E3%3D27840%20%5Cdiv%2032%5Cpi%3D276.9296%5C%5Cr%3D%5Csqrt%5B3%5D%7B276.9296%7D%20%3D6.518)
Recall:

Therefore, the dimensions that will minimize the cost are:
Radius =6.518 feet
Height = 26.074 feet