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NeX [460]
3 years ago
14

What is the area of the medal platform?

Mathematics
1 answer:
Pani-rosa [81]3 years ago
3 0
The total area is 78 sq. ft.

Since the medal platform has different measurements, we need to individually compute the area of each polygon.

The top polygon is a square. Its sides measure 3 ft. 

A₁ = a²
A₁ = 3 ft²
A₁ = 9 ft²

The middle polygon is a rectangle. 

Its total width can be derived by adding the widths given and the width of the square above.

w = 3 ft + 3 ft + 3 ft
w = 9 ft

A₂ = width * height
A₂ = 9 ft * 2 ft
A₂ = 18 ft²

The bottom polygon is also a rectangle.

w = 4 ft + 9 ft + 4 ft
w = 17 ft

A₃ = width * height
A₃ = 17 ft * 3 ft
A₃ = 51 ft²

Total Area = A₁ + A₂ + A₃
T.A. = 9 ft² + 18 ft² + 51 ft²
T.A. = 78 ft²
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Hi there :-)
The formula of the simple interest is
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R=I÷pt
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R=562.5÷(1,500×5)
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4 0
3 years ago
The length of each side of an equilateral triangle is increased by 6 inches, so the perimeter is now 60 inches. What was the ori
Nimfa-mama [501]

Answer:

14 inches

Step-by-step explanation:

Using this information, we can form an equation.

Since there are 3 sides in a triangle, and each side increased by 6, that means that the perimeter increased by 18 inches. Down below, I did 3x because there are 3 sides in a triangle.

(This is the equation you'd want to do to get the answer)

3x + 3 * 6 = 60

Simplify:

3x + 18 = 60

Same to both sides

3x = 42

Isolate x:

x = 14

Let me know if you have any questions

8 0
3 years ago
Patricia baked some cupcakes for sale. she put half of the cupcakes equally into 6 big boxes and the other half equally into sma
mojhsa [17]

Answer:

The answer is given below

Step-by-step explanation:

a)

Let us assume Patricia baked x number of cakes. She put half of the cupcakes (i.e x/2) equally into 6 big boxes.

6 big boxes contained \frac{x}{2} cakes, therefore 1 big box would contain \frac{x}{2}/6=\frac{x}{12} cakes.

Let us assume she put the other half into 14 small boxes, therefore each small box would contain \frac{x}{2}/14=\frac{x}{28} cakes.

There were 45 cupcakes in 3 big boxes and 8 small boxes altogether. That is:3(\frac{x}{12} )+8(\frac{x}{28})=45\\ 84x+96x=15120\\180x=15120\\x=84

Therefore Patricia baked 84 cup cakes

b)

She sold all the small boxes and collected $189, i.e she sold 14 small box for $189. Each small box = $189/14 = $13.5

6 0
3 years ago
PLEASE HELP!!!!
Maurinko [17]

Answer:

8.33

Step-by-step explanation:

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3 0
2 years ago
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