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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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A 29- m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 33 . Find the length
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Step-by-step explanation:

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Read 2 more answers
A rock is launched from a cannon. After 1 second, the rock is 58 feet in the air; after 2 seconds, it is 112 feet in the air. Us
max2010maxim [7]

Answer:

Step-by-step explanation: This is the quadratic function:

h(x)=ax²+bx+c

We have two points:

(1,58)

(2,112)

Now, we calculate this quadratic funtion.

we assume that h(0)=0

Therefore:

a(0)²+b(0)+c=0

c=0

(1,58)

a(1)²+b(1)=58

a+b=58  (1)

(2,112)

a(2)²+b(2)=112

4a+2b=112

2a+b=56  (1)

With the equations (1) and (2) we make a system of equations:

a+b=58

2a+b=56

we can solve this system of equations by reduction method.

-(a+b=58)

2a+b=56

---------------------

a=-2

-2(a+b=58)

2a+b=56

-------------------

      -b=-60  ⇒  b=60

The function is:

h(x)=ax²+bx+c

h(x)=-2x²+60x

Now find the height, in feet, of the rock after 10 seconds in the air.

h(10)=-2(10)²+60(10)

h(10)=-200+600=400

Answer: 400 ft.

8 0
3 years ago
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