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Vlad [161]
3 years ago
8

Does anyone know the surface area of this pyramid?

Mathematics
1 answer:
hjlf3 years ago
6 0

Answer:

217

Step-by-step explanation:

1/2 * 12 * 7 = 42 this is one side of the pyramid

4x for all sides = 168

add the bottom which is just a square 7*7 = 49

168 + 49 = 217

You might be interested in
if three pipes are all opened, they can fill an empty swimming pool in 3 hours. THe largest pipe alone takes one third the time
iogann1982 [59]

Answer: It will take the largest pipe 5.5 hours to fill the swimming pool alone.

It will take the smallest pipe 16.5 hrs to fill the swimming pool alone.

It will take the other pipe 11 hours to fill the pool alone.

Step-by-step explanation: let time needed to fill the swimming pool by the largest pipe be x ... eq (1)

Let time needed to fill the swimming pool by the smallest pipe be 3x ... eq(2)

Let time needed to fill the swimming pool by the other pipe be 2x ...eq(3)

The job to be done (to fill a swimming pool) be 3/x +3/3x+3/2x=1 ... eq(4)

Multiply 6x on both sides you will get:

6(3)+2(3)+3(3)=6x

18+6+9=6x

33=6x

33/6=x

X=5.5hours

Substitute x=5.5 into EQ 2 and 3

3x=3×5.5=16.5hours

2x=2×5.5=11hours

Check: substitute the value of x into eq3/5.5+3/16.5+3/11

0.545+0.182+0.273=0.9997=1

5 0
4 years ago
A person bought some Australian dollar of NRs 1,50,000 according to the exchange rate. Australian dollar 1 = NRs 77.02. After fi
AlekseyPX

Answer:

  5.26% profit (NRs 7,894.24)

Step-by-step explanation:

The exchange of 1,50,000 NRs to A$ will give ...

  A$ 1/(NRs 77.02) = x /1,50,000

  x = A$ 1,50,000/77.02 = A$ 1947.54 . . . . . (rounded down)

If the Nepali rupees are devalued by 5%, then what did buy A$ 1 will now buy only A$ 0.95. Then the exchange back to NRs will give ...

  (NRs 77.02)/(A$ 0.95) = x/(A$ 1947.54)

  x = NRs (1947.54)(77.02/0.95) = NRs 1,57,894.24

The effective profit is the difference from the amount initially exchanged, NRs 7,894.24, or ...

  (1,57,984.24/1,50,000 -1) × 100% ≈ 5.26%

__

<em>Additional comment</em>

Except for the loss in the exchange due to rounding down, the profit would be 1/0.95 -1 = 5.2632%. Instead, it is 5.2628%. This is why investors move their money to investments that retain their value when the local currency is losing its value.

5 0
3 years ago
PLZ HELP I NEED THIS TODAY!!!!Write an expression for the perimeter of the triangle shown below: A triangle is shown with side l
qaws [65]
All you have to do is combine like terms here...all the x's and then all the constants.  2.3x + 2x -.2x = 4.1x; 14 + 15 = 29, so the perimeter is 4.1x + 29,  A above.
8 0
3 years ago
Solve each exponential equation. round your answer to two decimal places.
notka56 [123]

4a.4²x +3=1

Slotuion:

4²x + 3=1 : <em>x</em>= -⅛ (Decimal:<em>x</em>= -0.125)

Steps

4² x +3=1

4²=16

16x + 3=1

Subract 3 from borh sides

16x +3-3=1-3

Simplify

16x=-2

Divides both sides by 16

\frac{16 \times }{16} = [tex] \frac{ - 2}{16}

[/tex]

Simplitfy

\frac{16 \times }{16} :  x

Simplify

\frac{ - 2}{16}: -⅛

<em>x</em> = -⅛

therefore the answer is <em>x</em><em>=</em><em> </em><em>-</em><em>⅛</em>

4b.ex-1 -5 =5

x~=3.30258

explanation:

e^(x-1)-5=5

e^(x-1)=10

x-1=ln 10

x-1~=2.30258

x~=3.30258

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7 0
2 years ago
Read 2 more answers
What is the lowest common denominator of the following set of fractions: 1/6 , 13/27 , 4/5 , 3/10 , 2/5 ?
Serga [27]

Answer:

LCD = 270

Equivalent Fractions with the LCD

1/6 = 45/270

13/27 = 130/270

4/5 = 216/270

3/10 = 81/270

2/5 = 108/270

3 0
3 years ago
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