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Dovator [93]
3 years ago
8

I have a circular piece of fabric I am going to make a tablecloth. The radius of the fabric is 2 meters. What is the area of the

tablecloth I can make
Mathematics
1 answer:
Bond [772]3 years ago
4 0

Answer:

4\pi

or

12.57

Step-by-step explanation:

I have a <u>circular</u> piece of fabric I am going to make a tablecloth. The <u>radius</u> of the fabric <u>is 2 meters</u>. What is the <u>area</u> of the tablecloth I can make

Essentially, you are attempting to find the area of a circle with a radius of 2 meters.

The formula for an area of a circle is \pi r^2, or pi times radius squared.

Plugging in 2 meters as your radius, that gets your answer to be 4\pi, or 12.57 in decimal.

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Answer:

1: x = -1

2: x = 3

3: x = -3

Step-by-step explanation:

f(x)=<u>x^3+x^2</u>−9x−9

f(x)=x^2<u>(</u>x+1) <u>−9x−9</u>

f(x) = x^2<u>(x+1)</u> - 9<u>(x+1)</u>

f(x)= (x+1)<u>(x^2-9)</u>

f(x) =(x+1)(x-3)(x+3)

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Select the correct answer. Simplify the expression to a single numerical value.
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1) Find the missing side. Give your<br> answer in simplest radical form.
gladu [14]

Answer:

x = 4√5

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
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  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
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<u>Trigonometry</u>

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

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Step-by-step explanation:

<u>Step 1: Define</u>

Leg <em>a</em> = 8

Leg <em>b</em> = 4

Hypotenuse <em>c</em> = <em>x</em>

<em />

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in variables [Pythagorean Theorem]:                                            8² + 4² = x²
  2. Evaluate exponents:                                                                                         64 + 16 = x²
  3. Add:                                                                                                                   80 = x²
  4. [Equality Property] Square root both sides:                                                    √80 = x
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Sarah is doing research on the average age of first-year resident physicians. She wants her estimate to be accurate to within 1
WINSTONCH [101]

Answer: The number of first-year residents she must survey to be 95% confident= 263

Step-by-step explanation:

When population standard deviation (\sigma)  is known and margin of error(E) is given, then the minimum sample size (n) is given by :-

n=(\dfrac{z^*\sigma}{E})^2, z* = Two-tailed critical value for the given confidence interval.

For 95% confidence level , z* = 1.96

As, \sigma = 8.265, E = 1

So, n= (\dfrac{1.96\times8.265}{1})^2 =(16.1994)^2\\\\= 262.42056036\approx263\ \ \ [\text{Rounded to the next integer}]

Hence, the number of first-year residents she must survey to be 95% confident= 263

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