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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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Apply the distributive property to create an equivalent expression.
Amanda [17]

The distributive property: a(b + c) = ab + ac


(-7c + 8d)0.6 = (-7c)(0.6) + (8d)(0.6) = -4.2c + 4.8d

7 0
3 years ago
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if you deposit 4500 at 5% annual interest compounded annually how much money will be in the account after 30 months
Alja [10]

Answer:

A = $ 50,978.44

Step-by-step explanation:

First, convert R percent to r a decimal

r = R/100

r = 5%/100

r = 0.05 per year,

Then, solve our equation for A

A = P(1 + r/n)nt

A = 45,000.00(1 + 0.004166667/12)(12)(2.5)

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8 0
3 years ago
12*10-50 i am in a hurry
andreev551 [17]

Answer: 70

Step-by-step explanation:

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8 0
2 years ago
What is the Kinetic energy of a 2000 kg bus that is moving at 30m/s? <br><br> Explain please
agasfer [191]

There's a formula for that.

KE = (1/2)mv²

... = (1/2)(2000 kg)(30 m/s)²

... = 900,000 kg·m²/s²

... = 900,000 J

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It is helpful to know the relationship between kilograms, meters, seconds, and Newtons or Joules.

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4 0
3 years ago
Consider the relationship chart for the a fast-food restaurant,
boyakko [2]

The layout of the fast-food restaurant of dimensions 6 by 8 5 feet squares is presented in the attached table created with Sheets.

<h3>How can the required layout be found?</h3>

The dimensions of the facility are;

Horizontal = 6 squares

Vertical = 8 squares

The side length of each square = 5 feet

Therefore;

Area of each square = 5² ft.² = 25 ft.²

Number of squares, <em>n</em>, required by each dependent are therefore;

CB department, <em>n </em>= 300 ÷ 25 = 12 squares

CF department, <em>n</em> = 200 ÷ 25 = 8 squares

PS department, <em>n </em>= 8 squares

DD department, <em>n</em> = 8 squares

CS department, <em>n</em> = 12 squares

A layout for the fast-food restaurant is therefore;

  • The first three vertical columns of 8 squares each are occupied by the CF, PS, and DD departments. The remaining 3 by 8 squares are occupied by the CB department, (3 by 4 squares), and the CS department, (3 by 4 squares)

Please see the attached table layout created using Sheets.

Learn more about finding the area of regular figures here:

brainly.com/question/316492

#SPJ1

8 0
1 year ago
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