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tia_tia [17]
3 years ago
9

A roof on a castle tower is shaped like a cone with a diameter of 12 feet and has a slant height of 13 feet one bundle of Shingl

es covers 32 ft.² how many bundles should you buy to cover the roof? What is the surface area of the roof ?

Mathematics
1 answer:
shusha [124]3 years ago
4 0

Answer:

Step-by-step explanation:

d = diameter = 12ft

r = d/2 = 12/2 = 6ft

Slant height = 13ft

Surface area of cone = π r 2 + π L r

Where L is the slant height of the cone π = 22/7

SA = 22/7×6×6+22/7×13×6

SA = 113.14+245.142

SA = 358.28ft^2

If one bundle of shingle covers 32 ft.²

Hence,358.28ft^2  = 358.28ft^2/32 ft.²

= 11.196

= 11.2 bundles

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Use the given inverse to solve the system of equations. left brace Start 3 By 3 Matrix 1st Row 1st Column x minus y plus z 2nd C
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The interpretation of the given question is as follows:

Use the given inverse to solve the system of equations

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The inverse of  \left[\begin{array}{ccc}1&-1&1\\0&2&1\\3&-8&0\end{array}\right]   is \left[\begin{array}{ccc}-8&8&3\\-3&3&1\\6&-5&-2\end{array}\right]

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Answer:

x = - 1.5

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Step-by-step explanation:

Using the correlation  of inverse of matrix AX = B to solve the question above;

AX = B

⇒ A⁻¹(AX)  = A⁻¹ B

X =  A⁻¹ B

So ;

X         =        A⁻¹                             B

\left[\begin{array}{c}x\\y\\z\end{array}\right] =     \left[\begin{array}{ccc}-8&8&3\\-3&3&1\\6&-5&-2\end{array}\right] =   \left[\begin{array}{ccc}-6\\ -6\\- \dfrac{1}{2}\end{array}\right]

   

 \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(-8*-6)+(8*-6)+(3*-\dfrac{1}{2})\\(-3*-6)+(3*-6)+(1*-\dfrac{1}{2})\\(6*-6)+(5*-6)+(-2* - \dfrac{1}{2})\end{array}\right]

\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(48)+(-48)+(\dfrac{-3}{2})\\(18)+(-18)+(\dfrac{-1}{2})\\(-36)+(30)+(1)\end{array}\right]

\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(\dfrac{-3}{2})\\(\dfrac{-1}{2})\\(-5)\end{array}\right]

\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}-1.5\\-0.5\\ -5\end{array}\right]

5 0
3 years ago
Angle 4 above has a measurement of 160 degrees. Angle 1 has a label
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Answer: A

Step-by-step explanation:

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A particle moves on a line away from its initial position so that after t hours it is s = 2t^2 +3t miles from its initial positi
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Answer:

Average speed of the particle is 13 miles per hour.

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From the given question expression for distance traveled by the particle is

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s = (44-5) = 39 miles

And the times taken = (4-1) =3 hours

From the formula speed = displacement/(time taken for displacement)

V = 39/3 = 13 miles/hour



4 0
3 years ago
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