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elixir [45]
4 years ago
9

A circle passes through the point (0,0.5). What it’s radius

Mathematics
1 answer:
belka [17]4 years ago
6 0

Answer: The radius of this circle is 0.5

Step-by-step explanation:

We have a circle that passes through the point (0, 0.5)

We do not know the center of the circle, so we have infinite possible radius to answer this, but let's suppose that the center of the circle is in the point (0, 0)

For a circle centered in the origin, we have the equation:

x^2 + y^2 = r^2

Where r is the radius.

Here we have that x = 0 and y = 0.5

then:

0^2 + (0.5)^2 = r^2

0.5^2 = r^2

r = 0.5

The radius of this circle is 0.5

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Step-by-step explanation:

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Under the last-in, first-out (LIFO) inventory valuation method, a price index for inventory must be established for tax purposes
frosja888 [35]

Answer:

The laspeyres method of weighted aggregate price index is used of LIFO inventory valuation, therefore laspeyres index number is 106.08

Step-by-step explanation:

First of all we would have to perform the following table:

                                             

Product   Ending Inventory(Q0)  Begining(P0)   Ending(P1)   P0×Q0   P1×Q0  

    A                    500                         0.15               0.21                75        105

    B                       50                         1.60               1.80                 80         90

    C                       100                        4.50             4.20                 450      420

    D                       40                          12.00          13.40                 480     536

                                                                                             Total  1085     1151

Therefore, using laspeyres index number, we calculate the following:

laspeyres index number=(∑P1×Q0/∑P0×Q0)×100

laspeyres index number=(1151/1085)×100

laspeyres index number=106.08

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4 years ago
Why does -2.4-(-7)have the same result as -2.4+7? Explain your reasoning.
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Answer:

-2.4-(-7) has the same result as -2+7 because the negative sign and the minus sign cancel each other out. Think of it like this. If you cross the negative sign and the minus sign together, then it makes a plus sign.

Step-by-step explanation:

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Answer:

x = 8√2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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

Equality Properties

<u>Trigonometry</u>

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

Step-by-step explanation:

<u>Step 1: Define</u>

We are given a right triangle. We can use PT to solve for the missing length.

<u>Step 2: Identify Variables</u>

Leg <em>a</em> = 8

Leg <em>b</em> = 8

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

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Substitute [PT]:                    8² + 8² = x²
  2. Exponents:                           64 + 64 = x²
  3. Add:                                      128 = x²
  4. Isolate <em>x</em>:                               8√2 = x
  5. Rewrite:                                x = 8√2
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