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USPshnik [31]
3 years ago
13

Which of the following is the appropriate notation when calculating

Mathematics
1 answer:
Hunter-Best [27]3 years ago
5 0

Answer: P(AB) = 3/8

Step-by-step explanation:

You simply multiply P(AuB) by P(B)

3/7 * 7/8 = 3/8

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Points B and B' have symmetry with respect to P. Find the coordinates of P when B is (2, 8) and B' is (2, 2). A. (2, 5) B. (0, 5
Alecsey [184]

Answer:

A. (2, 5)

Step-by-step explanation:

If B and B' have symmetry, then P is a midpoint between those points. We can determinate the location of point P by using the midpoint equation, whose vectorial form is:

P(x,y) = \frac{1}{2}\cdot B(x,y)+\frac{1}{2}\cdot B'(x,y) (Eq. 1)

If we know that B(x,y) = (2,8) and B'(x,y) = (2,2), then the location of P is:

P(x,y) = \frac{1}{2}\cdot (2,8)+\frac{1}{2}\cdot (2,2)

P(x,y) = (1, 4)+(1,1)

P(x,y) = (2, 5)

Which corresponds to option A.

7 0
3 years ago
In ΔRST, m < R = 104°, r = 20, and t = 10. Find the m < S, to nearest degree.
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Answer:

  47°

Step-by-step explanation:

The law of sines helps you find angle T. From there, you can find angle S.

  sin(T)/t = sin(R)/r

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  T = arcsin(sin(104°)/2) ≈ 29°

Then angle S is ...

  S = 180° -R -T = 180° -104° -29°

  ∠S = 47°

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2 years ago
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