Answer:
Lateral surface area of cone = π(3)(5)
Lateral surface area of cone = 47.1 unit² (Approx.)
Step-by-step explanation:
Given:
Radius of cone = 3 unit
Height of cone = 4 unit
Find:
Lateral surface area of cone
Computation:
Slant height of cone = √Radius² + Height²
Slant height of cone = √3² + 4²
Slant height of cone = √9 + 16
Slant height of cone = √25
Slant height of cone = 5 unit
Lateral surface area of cone = πrl
Lateral surface area of cone = π(3)(5)
Lateral surface area of cone = (3.14)(15)
Lateral surface area of cone = 47.1 unit² (Approx.)
19. C. 10,12 (D is eliminated because 15 is greater than 12, greatest common factor of the others was not 2)
20. C. 42 (The largest integer that can divide into both)
The two numbers that differ by 46 is 23
Answer:
O : (-3,-4.5)
Step-by-step explanation:
center of circle: O (x.y)
Radius (r) = OA = OB = OC
r² = (x - (-1))² + (y - (-2))² ---- OA²
r² = (x - (-5))² + (y - (-2))² ---- OB²
r² = (x - (-1))² + (y - (-7))² ---- OC²
OA²=OB² : (x - (-1))² + (y - (-2))² = (x - (-5))² + (y - (-2))²
(x+1)² - (x+5)² = 0 x²+2x+1-x²-10x-25 = 0
8x = -24
x = -3
OA² = OC² (x - (-1))² + (y - (-2))² = (x - (-1))² + (y - (-7))²
y²+4y+4 = y² +14y +49
10y = -45
y = - 4.5
O : (-3,-4.5)
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