The perimeter of a rectangular playing field is 280 feet. The length of the field is 20 feet more than the width. What are the d
2 answers:
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Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Quadratic Formula:
<u>Algebra II</u>
- Imaginary roots: √-1 = i
Step-by-step explanation:
<u>Step 1: Define function</u>
f(x) = -x² - 6x - 14
<u>Step 2: Set up</u>
- Set equation equal to 0: -x² - 6x - 14 = 0
- Factor out -1: -(x² + 6x + 14) = 0
- Divide both sides by -1: x² + 6x + 14 = 0
<u>Step 3: Define variables</u>
a = 1
b = 6
c = 14
<u>Step 4: Find roots</u>
- Substitute:
- Exponents:
- Multiply:
- Subtract:
- Factor:
- Simplify:
- Factor:
- Divide:
Answer: 51.5 cubic feet.
Step-by-step explanation:
Since, The height of the building will be 309 feet, and a size of the base measures 250 feet.
And, we know that the volume of the square pyramid =
Here, size of the base of the square pyramid = 250 feet.
And, height = 309 feet.
Therefore, the volume of the given square pyramid,
⇒
⇒ = 6437500 cubic feet.
Again according to the question,
The scale model that is displayed at a convention is one fiftieth the size of the actual building.
Therefore, Volume of the scale model = the volume of the given square pyramid/125000
= 6437500/125000= 51.5 cubic feet.
Thus, the volume of the scale model is 51.5 cubic feet.