Answer:
Option A. 
Step-by-step explanation:
we know that
The lateral area of a cone is equal to

we have


substitute and solve for l (slant height)

simplify


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Answer:
50
Step-by-step explanation:
Sum Even numbers
n = 50
d = 2
a1 = 2
The last number is
an = a1 + (n-1)d
an = 2 + (50 - 1)*2
an = 2 + 49 * 2
an = 2 + 98
an = 100
Sum of the even numbers
Sum = (a1 + a50)*n/ 2
Sum = (2 + 100)*50/2
sum = 102 * 25
sum = 2550
Sum of the first 50 odd numbers
a1 = 1
n = 50
d = 2
l = ?
Find l
l = a1 + (n - 1)*2
l = 1 + 49*2
l = 99
Sum
Sum = (1 + 99)*50/2
Sum = 2500
The difference and answer is 2550 - 2500 = 50
Answer:
x = - 14
Step-by-step explanation:
23 + 4 + x = 25 - 12
Combine like terms on both sides of the equation (by adding 23 and 4 on the left-hand side, and subtracting 12 from 25 on the right-hand side):
23 + 4 + x = 25 - 12
27 + x = 13
Next, subtract 27 from both sides to solve for x:
27 - 27 + x = 13 - 27
x = - 14
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