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Arlecino [84]
2 years ago
15

The diagram shows rays of light from a point source, P, that reach a detector, D, along two paths. One path is a straight line,

while the other is bent by reflection off a mirror. What is the value of b, correct to one decimal place? Assume that all the points in the diagram lie in the same plane.
Mathematics
1 answer:
lord [1]2 years ago
6 0

This can solved using the cosine law which is:

c² = a² + b² - 2ab cos θ

Using the values given from the problem

6² = b² + b² - 2bb cos 112.62

And solving for b

36 = 2b² - 2b² cos 112.62

b = 3.6

The answer is the 3rd option.

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The midpoint of \overline{\text{AB}} AB is M(0, -3)M(0,−3). If the coordinates of AA are (2, -5)(2,−5), what are the coordinates
ICE Princess25 [194]

Using the mid-point concept, it is found that the coordinates of B are (-2, -1).

  • The mid-point of two points is the <u>mean of the coordinates of each point</u>.

In this problem:

  • The points are: A(2, -5) and B(x,y).
  • The mid-point is (0, -3).

Applying the concept for both the x and y-coordinates, we have that:

\frac{x + 2}{2} = 0

x + 2 = 0

x = -2

\frac{-5 + y}{2} = -3

-5 + y = -6

y = -1

The coordinates of B are (-2, -1).

To learn more about the mid-point concept, you can take a look at brainly.com/question/10956693

5 0
2 years ago
Which of the following describes a net of the prism
Grace [21]

The answer is C

Explanation; there are 2 triangles and 3 rectangles

7 0
3 years ago
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Identify the decimals labeled with the letters A, B, and C on the scale below. Letter A represents the decimal Letter B represen
Yuliya22 [10]

10 divisions between $389$ and $390$ so each division is $\frac{390-389}{10}=0.1$

A is 8 division from $389$, so, A is $389+8\times 0.1=389.8$

similarly, C is one division behind $389$ so it is $389-1\times 0.1=388.9$

and B is $390.3$

8 0
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Simplify the expression, if possible. (if the expression cannot be simplified, enter the given expression.) (k − 5)13 (k − 5)
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Answer:

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Step-by-step explanation:

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