Bosco

how do i convert a fraction into a decimal     

Divide the denominator (bottom) into the numerator (top)     

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  1/4 x 2/5=?     

    1          2          2                              1     

  –––  x  –––  =  –––     reduces to     –––     

    4          5         20                             10     

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what is the square root of (3-(-3))²+(-2-2)²      

                                          (3–(–3))²  +  (–2– 2)²     

PEMDAS step by step      (3 + 3)²     +  (–4)²     

                                           6²             +  (–4)²     

                                           36             +  16     

                                           52     

now, the square root          sqrt(52)  =  7.211     

Its (-3, 2) and (3, -2) put into the distance formula     

No, it isn't.  (–3, 2) and (3, –2) would be 5² + 5² = 50     

                                             sqrt(50)  =  7.071     

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A right circular cone of base radius 1 and slant height 3 is given. P is a point on the circumference of the base. Find the length of the shortest path from P around the cone and back to P.     

The base circumference is 2 π r = 6.28 so that's the distance from P all the way around the cone.     

This problem is so easy, I kept looking for the catch, for what I'm missing, but I can't find anything.     

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In isosceles triangle ABC, angle A is 40 degrees.  Find all possible values of angle B.     

If A (40^o) is the apex angle, then B and C are (1/2)(180^o – 40^o)  =  70^o     

If B is the apex angle, then A (40^o) and C are 40^o and B is 180^o – 80^o  =  100^o     

If C is the apex angle, then A (40^o) and B are the equal base angles, and they =  40^o     

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  A teacher has made ten statements for a True-False test.     

  Four statements are true and six are false.     

  How many distinct answer keys could the     

  The four (true) answers can be arranged ₁₀C₄  =  210 ways.     

  The six (false) answers can be arranged ₁₀C₆  =  210 ways.     

  For each way the true answers can be arranged,     

  the false answers can be arrangeddd 210 ways.     

  So there could be 210 x 210 =  44,100 answer keys.     

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