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OLga [1]
3 years ago
10

A billiard ball is struck by a cue. It travels 100 cm before ricocheting off a rail and traveling another 100 cm into a corner p

ocket. The angle between the path as the ball approaches the rail and the path after it strikes the rail is 45 degrees. How far is the corner pocket from where the cue initially struck the ball?
Mathematics
1 answer:
Airida [17]3 years ago
6 0

Answer:

76.53 cm

Step-by-step explanation:

From the question, the triangle formed has 2 sides and an included angle ;

Angle, θ = C = 45°

We use cosine rule :

Taking the side to find as c

a = 100 ; b = 100

From cosine rule :

c = sqrt(a² + b² - 2abCosC)

c = sqrt(100² + 100² - 2(100*100)Cos45

c = sqrt(10000 + 10000 - 20000 * 0.7071067)

c = sqrt(20000 - 14142.135)

c = sqrt(5857.865)

c = 76.536690

c = 76.53 cm

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Which of the following properties does not work for addition?
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The length of a rectangle is 71/2 inches and the width is 23/4 inches. What is the ratio, using whole numbers, of the length to
Over [174]

Answer:

142:23

Step-by-step explanation:

The length of the rectangle is given as 71/2 while its width is 23/4

We are required to determine the ratio of the length to the width;

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(71/2)/(23/4)

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3 years ago
Ralph is an electrictian.he charges an initial fee of $32 plus $33 per hour. If Ralph earned $189 on a Job,how long did The Job
aleksley [76]

Answer:

5 hours

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3 years ago
Identify the percent of change as an increase or a decrease. 4/5 to 3/5
vovikov84 [41]

Answer:

Decrease

Step-by-step explanation:

So, I encourage you to grab a calculator and see for yourself

Put in the function: 4/5 into a standard calculator. You will see that it will come out to .8

Put in the function: 3/5 into a standard calculator. You will see that it will come out to .6

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Another analogy that can be used is seeing the fraction as a real-life object.

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4 out of 5 slices are left of Pie 2.

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Hope this has helped!

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