The amount of fabric needed = 2(surface area of the cone-shaped wooden frame) = 88 ft².
<h3>What is the surface Area of a Cone?</h3>
Surface area of a cone = πr² + πrl
Given the following dimensions of the cone-shaped wooden frame:
- Slant height (l) = 5 feet
- Radius (r) = 2 feet
Amount of fabric needed = 2(surface area of the cone-shaped wooden frame) = 2(πr² + πrl)
= 2(3.14 × 2² + 3.14 × 2 × 5)
= 87.92
Amount of fabric needed ≈ 88 ft²
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Answer:
D) None of the above
Step-by-step explanation:
4 (2p+49)
= 4*2p + 4*49
= 8p + 196
Answer:
c. 55.4 ft/s
Step-by-step explanation:
Speed of the object is represented by the function:
where x represents the number of feet the object has fallen. We have to find the speed of the object after it has fallen 48 feet. This means we have to find f(x) for x = 48. Substituting x = 48 in above equation we get:
Thus, rounded to nearest tenth, the speed of the object after it has fallen 48 feet would be 55.4 ft/s
x=2 is only solution while x=1 is extraneous solution
Option C is correct.
Step-by-step explanation:
We need to solve the equation and find values of x.
Solving:
Find the LCM of denominators x-1,x and x-1. The LCM is x(x-1)
Multiply the entire equation with x(x-1)
Now, factoring the term:
The values of x are x=1 and x=2
Checking for extraneous roots:
Extraneous roots: The root that is the solution of the equation but when we put it in the equation the answer turns out not to be right.
If we put x=1 in the equation, the denominator becomes zero i.e
which is not correct as in fraction anything divided by zero is undefined. So, x=1 is an extraneous solution.
If we put x=2 in the equation,
So, x=2 is only solution while x=1 is extraneous solution
Option C is correct.
Keywords: Solving Equations and checking extraneous solution
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Hey!
The average height of 5 people is 5.9.
The total height is equal to:
4 people are each 5.8. Their total height is equal to:
Subtract the total height of 4 people with the total height of all 5 players: