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Dennis_Churaev [7]
3 years ago
13

George made a conical hat to match his costume for a party. The hat has a slant height of 14 inches and a base circumference of

16 inches. The cone is open at one end. To the nearest square unit, what is the lateral area of the hat?
Mathematics
1 answer:
atroni [7]3 years ago
4 0
The formula for the surface area of a straight cone is
 L. S. A. = π rl
 where,
 l = is the height of inclination of the cone
 r = radius of the base:
 For r we have:
 2 * π * r = 16
 r = 8 / π
 Substituting values:
 L. S. A. = π (8 / π) (14)
 L. S. A. = 112 in ^ 2
 Answer:
 T
he lateral area of the hat is:
 
L. S. A. = 112 in ^ 2
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Answer:

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Step-by-step explanation:

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Select the best answer for the question
Klio2033 [76]

Answer:

C. \left[\begin{array}{ccc}-24&0&-3\\8&-48&56\\25&-6&10\end{array}\right]

Step-by-step explanation:

The given matrices are;

F=\left[\begin{array}{cc}-2&0\\0&8\\2&1\end{array}\right]

and

C=\left[\begin{array}{ccc}12&0&\frac{3}{2}\\1&-6&7\end{array}\right]

FC=\left[\begin{array}{cc}-2&0\\0&8\\2&1\end{array}\right]\left[\begin{array}{ccc}12&0&\frac{3}{2}\\1&-6&7\end{array}\right]

FC=\left[\begin{array}{ccc}12(-2)+0(1)&0(-2)+-6(0)&\frac{3}{2}(-2)+7(0)\\12(0)+8(1)&0(0)+8(-6)&0(\frac{3}{2})+8(7)\\2(12)+1(1)&2(0)+1(-6)&2(\frac{3}{2})+1(7)\end{array}\right]

This simplifies to;

FC=\left[\begin{array}{ccc}-24&0&-3\\8&-48&56\\25&-6&10\end{array}\right]

The correct answer is C

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xz_007 [3.2K]
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