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s344n2d4d5 [400]
3 years ago
5

You are wrapping a birthday gift that is packaged in a specially made pyramid-shaped box. The base of the box measures 10 inches

by 9 inches and the slant height is 6 inches. How much paper do you need to wrap the box
Mathematics
1 answer:
mr Goodwill [35]3 years ago
3 0

Answer:

2826  inches^2

Step-by-step explanation:

The general formula for the total surface area of a regular pyramid is

T.S.A.=12pl+B

Where p represents the perimeter of the base, l the slant height and B the area of the base.

The perimeter of the base is.  

p=2L+2W

P=2*10+2*9

P=20+18

P= 38  inches

The area of the base is.

B=10*9

B=90in^2

T.S.A.=12(38)(6)+90              

T.S.A=2736+90

T.S.A=2826  inches^2

Hence the paper needed is 2826  inches^2

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Step-by-step explanation:

hello,

the shape is a right trapezium.

you use the following formula:

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2 years ago
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7 0
2 years ago
Yahoo creates a test to classify emails as spam or not spam based on the contained words. This test accurately identifies spam (
Amiraneli [1.4K]

Answer and Step-by-step explanation:

The computation is shown below:

Let us assume that

Spam Email be S

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Given that

P(S) = 0.3

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P(\frac{T}{S^c}) = 0.05

Now based on the above information, the probabilities are as follows

i. P(Spam Email) is

= P(S)

= 0.3

P(S^c) =  1 - P(S)

= 1 - 0.3

= 0.7

ii. P(\frac{S}{T}) = \frac{P(S\cap\ T}{P(T)}

= \frac{P(\frac{T}{S}) . P(S) }{P(\frac{T}{S}) . P(S) + P(\frac{T}{S^c}) . P(S^c) }

= \frac{0.95 \times 0.3}{0.95 \times 0.3 + 0.05 \times 0.7}

= 0.8906

iii. P(\frac{S}{T^c}) = \frac{P(S\cap\ T^c}{P(T^c)}

= \frac{P(\frac{T^c}{S}) . P(S) }{P(\frac{T^c}{S}) . P(S) + P(\frac{T^c}{S^c}) . P(S^c) }

= \frac{(1 - 0.95)\times 0.3}{ (1 -0.95)0.95 \times 0.3 + (1 - 0.05) \times 0.7}

= 0.0221

We simply applied the above formulas so that the each part could come

8 0
2 years ago
What is 83/9 as a mixed number
vodka [1.7K]
9) 83 (9
   -81
   ___
      2

Mixed fraction formula: Quotient Reminder/Dividend
                                      Q = 9  R=2  D=9

So, 83/9 in mixed fraction is 9 2/9

HOPE THIS HELPS!!!!
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3 years ago
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