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Sauron [17]
3 years ago
10

Please explain how you got your answers! (: Solve the problem by using the counting principle.

Mathematics
1 answer:
Natasha2012 [34]3 years ago
7 0
A. The number of fabric-pattern-color combinations is 4 * 13 * 9 = 468

B. P(1st choice) = no of novels / total books = 3/6 = 1/2
    P(2nd choice) = no of remaining novels/ total remaining books = 2/5
    P(both novels) = 1/2 * 2/5 = 1/5          (without replacement assumed)

C. P(1st choice) = no of biographies / total books = 2/6 = 1/3
    P(2nd choice) = no of remaining biographies/ total remaining books =        1/5
    P(both biographies) = 1/3 * 1/5 = 1/15          (without replacement                assumed)

D. P(1st choice) = no of history books / total books = 1/6
    P(2nd choice) = no of novels/ total remaining books = 3/5
    P(a history, then a novel) = 1/6 * 3/5 = 1/10          (without replacement assumed)
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Circle equation is given in the form of (x-a)²+(y-b)² = r²

Where (a, b) is the centre and 'r' is the radius

We have a circle with centre (0, 0) and radius of 5.

Substituting these value into the equation form, we have

(x-0)²+(y-0)² = 5²
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3 years ago
How do you do these geometry?
siniylev [52]

Answer:

The angles are 45°, 60° , 75°

Step-by-step explanation:

<h3>Angle sum property:</h3>

Sum of all the angles of a triangle is 180°.

Equation:  

     3x + 5x + 4x = 180

Combine like terms,

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                      \sf \boxed{x = 15}

3x = 3 *15 = 45°

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4x = 4 *15 = 60°

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the answer would be d

Step-by-step explanation:

(8+12) is the sum

(8+12)10 would give you the answer of the sum of 8 and 12 times 10

7 0
3 years ago
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