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Complete Question :
The surface area of a given cone is 1,885.7143 square inches. What is the slant height?
Answer:
25 inches
Step-by-step explanation:
In the diagram, we are given the following information
Height of the cone = 20 inches
Radius of the cone = 15 inches.
The formula for the slant height of a cone represented by l =
l² = r² + h²
l = √(r² + h²)
l = √(15² + 20²)
l = √(225 + 400)
l = √625
l = 25 inches
Therefore, the slant height of this cone = 25 inches
Answer:
see below
Step-by-step explanation:
The ratio of terms that are two terms apart (s4 and s6) is the square of the common ratio:
s6/s4 = r^2
r = √(8/18)
r = 2/3 . . . . . matches choices A and C
__
Using the formula for the general term, we now know enough to find the first term:
sn = s1·r^(n-1)
s4 = s1·(2/3)^(4-1)
Using s4 = 18 and multiplying by (2/3)^-3, we get ...
18·(2/3)^-3 = s1 = 18·27/8
s1 = 243/4 . . . . . matches choice A
Answer:
46 cm
Step-by-step explanation:
Let p represent the length in cm of 1 bap'ai; let k represent the length in cm of 1 bok'ai. Then we have ...
12p +2k = 100
10p +10k = 100
Subtracting the second equation from 5 times the first, we get ...
5(12p +2k) -(10p +10k) = 5(100) -(100)
50p = 400
p = 8 . . . . cm
Then the second equation tells us ...
10(8) +10k = 100
10k = 20
k = 2 . . . . cm
Then 5p+3k = 5(8) +3(2) = 46 cm.
The distance 5 bap'ai and 3 bok'ai is 46 cm.
8 y ( y - 4) + 3 y ( y + 2) =
8y² - 32y + 3y² + 6y =
11y²-26y
C)11 y 2 - 26 y
Answer:
The angle would be acute
Step-by-step explanation: