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Firlakuza [10]
3 years ago
15

A drink coaster in the shape of a circle has

Mathematics
1 answer:
egoroff_w [7]3 years ago
5 0

The diameter of the coaster is 5 cm.

Step-by-step explanation:

Given,

The area of the circle = 19.63 sq inch

To find the diameter, we need to find the radius

Formula

The area of a circle with radius(r) = πr^{2} sq cm

According to the problem,

πr^{2}  = 19.63

or, r^{2} = \frac{7 X 19.63}{22}

= 6.2459

or, r = \sqrt{6.2459} = 2.499 (approx)

= 2.5 cm

Hence the diameter of the circle  = 2 × 2.5 cm = 5 cm

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7.935 x 10 to negative 5 power
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Answer:

0.00007935

Step-by-step explanation:

7.935 x 10 to negative 5 power can be written as:

7.935 x 10^(-5)

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A trick to finding 10 to the x power, x is the number of 0's. So 10^5 = 100000

\frac{7.935}{100000}\\

When dividing by tens, move the decimal to the left by the amount of 0's

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3 years ago
Four trucks were used to make deliveries. The drivers recorded the number of miles driven and the amount of gasoline used. Truck
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Step-by-step explanation: 14:1

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3 years ago
Read 2 more answers
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
  7. Subtraction
  • Left to Right  

Equality Properties

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

<u>Trigonometry</u>

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

  • a is a leg
  • b is another leg
  • c is the hypotenuse<u> </u>

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
  5. Rewrite:                                                                                                             x = √80
  6. Simplify:                                                                                                             x = 4√5
3 0
3 years ago
Describe how the graph of y= 1/3x is the same and different from the graph of y= 1/3x - 4
uranmaximum [27]

Answer:

the lines have the same slope

the y-intercept of the lines are different

Step-by-step explanation:

7 0
3 years ago
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