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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
The correct answer is 15.
Answer:

Step-by-step explanation:
<u>Step 1: Determine the area of the left rectangle</u>
We can tell that the total shape seems like two rectangles glued together. We can separate the left rectangle and determine the area of it and then determine the area of the right rectangle and combine them. Lets first solve the left rectangle.



<u>Step 2: Determine the area of the right rectangle</u>



<u>Step 3: Determine the total area</u>



Answer: 
Since angles 3 and 4 form a linear pair, the sum of the measures of their angles must add up to 180.
We can define angle 3 as x, and angle 4 as (180-x).
x = 3 ( 180 - x ) + 4.
Solving for x, we get x=138. This is angle 3. Angle 4 is 180-138, so angle 4 is 42.
Answer:
5
alternates
Step-by-step explanation:
The series is for k = 0 to 4, so k = 0, 1, 2, 3, 4.
That is 5 terms.
-1/2 is inside the parentheses and is raised to 0, 1, 2, 3, 4.
A negative number raised to an even integer is positive.
A negative number raised to an odd integer is negative.
The sign of each term in the series alternates.