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1 answer:
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9514 1404 393
Answer:
- center: (1, -3)
- radius: 5
Step-by-step explanation:
Comparing the two given equations, we see ...
h = 1
k = -3
r = √25 = 5
The center is (1, -3), and the radius is 5.
Answer:
a=-4000m+39000
Step-by-step explanation:
From the given table, we can see that the difference between any consecutive altitude is 4000 ft.
31000 - 35000 = -4000
27000- 31000 = -4000
23000-27000 = -4000
Hence, it represents an arithmetic sequence with a = 3500 and d = -4000
The general term of an arithmetic sequence is given by
Answer:
a) 301.59 cubic centimeters
b) 235.87 square centimeters
Step-by-step explanation:
a)
Volume of ice cream cone is volume of hemisphere PLUS volume of cone.
Volume of Hemisphere =
radius is given as 4, so,
Volume of Hemisphere =
Now, Volume of Cone =
Where radius is 4 and height is 10, so,
Volume of Cone =
Volume of Ice Cream Cone = 134.04 + 167.55 = 301.59 cubic centimeters
b)
Surface area of ice cream cone is surface area of hemisphere PLUS surface area of cone.
Surface Area of Hemisphere =
Surface Area of Cone =
We dont need to use the first part, since it is "inside". We need to find l, slant height, by using pythagorean theorem on a triangle we can make (bottom right).
4^2 + 10^ 2 = l^2
16 + 100 = l^2
116 = l^2
l = 10.77
Now to find the surface area of cone =
Surface area of ice cream cone = 100.53 + 135.34 = 235.87 square centimeters