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Mekhanik [1.2K]
3 years ago
7

Akira receives a prize at a science fair for having the most informative project. Her trophy is in the shape of a square pyramid

and is covered in shiny gold foil.
How much gold foil did it take to cover the trophy, including the bottom?
Mathematics
2 answers:
Marianna [84]3 years ago
6 0

Answer:

216cm

Step-by-step explanation:

Khan Academy

PolarNik [594]3 years ago
3 0

Akira needs 45 square inches of  gold foil to cover the chair free including the bottom​

Step-by-step explanation:

Total surface  =  surface area of the base square + area of 4 triangles

Step 1: The surface area of the base square

surface area of the base = surface area of the square =  

where s is the side length

The the surface area of the base  = = 9 square inches

Step 2: The surface area of the side triangles

The area of the triangle =

On substituting the values,

The area of the triangle =

The area of the triangle =

The area of the triangle = 9 square inches

Now the area of 4 triangles  =  4 x 9  = 36 square inches

Thus the total surface area  =  9 + 36 = 45 square inches

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The perimeter of a rectangle is 96cm its shortest side has a length of 5cm state the length of the longest side​
Rainbow [258]

Answer:

43cm

Step-by-step explanation:

96-10 (5 x2 sides)=86

86/2 sides=43 longest side

4 0
3 years ago
Visit the official Florida _____ page to find all the driving laws and information you need to know for the Class E knowledge ex
Nata [24]

Answer:

Where can I find specific information on Florida driving laws? Visit the official Florida driver's handbook page to find all of the driving laws and information you need to know for the Class E knowledge exam.

Step-by-step explanation:

7 0
3 years ago
I would like to create a rectangular vegetable patch. The fencing for the east and west sides costs $4 per foot, and the fencing
Anestetic [448]
Let the lengths of the east and west sides be x and the lengths of the north and south sides be y.  the dimensions you want are therefore x and y.

The cost of the east and west fencing is $4*2*x; the cost of the north and south fencing is $2*2*y.  We have to put in that "2" because there are 2 sides that run from east to west and 2 sides that run from north to south.



The total cost of all this fencing is $4(2)(x) + $2(2)(y) = $128.  Let's reduce this by dividing all three terms by 4:  2x + y = 32.

Now we are to maximize the area of the vegetable patch, subject to the constraint that 2x + y = 32.  The formula for area is A = L * W.  Solving 2x + y = 32 for y, we get y = -2x + 32.

We can now eliminate y.  The area of the patch is (x)(-2x+32) = A.  We want to maximize A.

If you're in algebra, find the x-coordinate of the vertex of this quadratic equation.  Remember the formula x = -b/(2a)?  Once you have calculated this x, subst. your value into the formula for y:  y= -2x + 32.

Now multiply together your x and y values to obtain the max area of the patch.


If you're in calculus, differentiate A = x(-2x+32) with respect to x and set the derivative equal to zero.  This approach should give you the same x value as before; the corresponding y value will be the same;  y=-2x+32.

Multiply x and y together.  That'll give you the maximum possible area of the garden patch.
5 0
3 years ago
Samira and tineka wrote a 4-digit numbers
Vika [28.1K]
The value of the 8 in Samira's number is 8,000. The value of the 8 in Tineka's number is 800.

I believe your answer would be Option D) 1000.

Hope this helps! :) 

4 0
3 years ago
Read 2 more answers
Can someone please help me with these two questions
Eva8 [605]
The # 1 the answer is A
      # 2                      C
4 0
3 years ago
Read 2 more answers
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