Answer:
A. 68 units2
Step-by-step explanation:
First of all to solve this problem we have to know the formula to calculate the surface area of the cone
A = area
r = radius = 4
L = 13
π = pi
A = π*r² + π*L*r
we replace with the known values
A = π * (4u)² + π * 13u * 4u
A = 16π u² + 52π u²
A = 68π u²
The surface area of the cone is 68π u²
Answer:
Step-by-step explanation:
From the upper isosceles triangle,
The answer is: x=±√5y [Note: If and only if at the lower triangle is NOT isosceles]
Exterior angle to the isosceles triangle = 2(2x^2 – 2x) [because the exterior angle of a triangle is equal to the sum of two opposite interior angles]
Therefore, the exterior angle = 4x^2 – 4x
Also,
The exterior angle is equal to the sum of the two interior base angles of the lower triangle
Thus, 4x^2 – 4x=(3x^2+4x) + (5y – 8x)
By collecting like terms,
4x^2 – 3x^2 – 4x – 4x + 8x – 5y = 0
x^2 – 5y = 0
x^2 = 5y
By taking the square root of both sides
x=±√5y
Learn more about triangles at brainly.com/brainly.com/question/29069807
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Answer: The required condensed expression is 
Step-by-step explanation: We are given to fully condense the following logarithmic expression assuming that all variables represent positive numbers :
We will be using the following properties of logarithms :
Therefore, from expression (i), we get
Thus, the required condensed expression is
