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 pocket. 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?

Answers

Answer 1

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


Related Questions

Which of these numbers lines is the X-axis?​

Answers

Answer:

the one going this way -------------------------- not up and down

Step-by-step explanation:

Answer:

Step-by-step explanation:

the one on the right

geometry: pls help :(

Answers

AC=64
CF=32
DF=28
this should be right:)

Line 2 shows position data for an object that is speeding up. Use the centimeter ruler to measure the distance of each dot from dot 1, and record it in the table

Answers

Answer:

1= 0

2= 0.5

3= 1.5

4= 3

5= 5

6= 7.5

7= 10.5

8= 14

explanation: This is the edmentum answer

Answer:

1= 0

2= 0.5

3= 1.5

4= 3

5= 5

6= 7.5

7= 10.5

8= 14

Step-by-step explanation:

List the sides of the triangle in order from shortest to longest.

Answers

Answer:

FH, GF, GH

hmmmmmmmmmmm

15 out of 60 markers are blue. What percent of the markers are blue?

How will we solve this problem?

Answers

Answer:

Step-by-step explanation:

if 15 out of 60 markers are blue

the percentage is 15/60=1/4

0.25*100=25%

Help please ill give 20 points

Answers

Answer:

15

Step-by-step explanation:

Answer:

4r^12 t^2

Step-by-step explanation:

Use the exponants : ( 8r^6t^3 )/4t^2

simplifie :( 2r^6t^3 )/t^2

Use the exponent : ( 2r^6t^3 )/t^2 = 4r^12t^2

someone give the worked solution for this please!!!!

Answers

Answer:

The scale Myra should use is one graph unit = 400 km or;

←--→ = 400 km

Step-by-step explanation:

The question relates to the representation of scale drawing

The actual distance between Perth and Sydney = 3294 kilometers

The given coordinates of Perth on the grid = (1.3, 3.4)

The given coordinates of Sydney on the grid = (9.2, 3.3)

The measure of the distance between Perth and Sydney, 'd', is given by using the following formula for finding the distance between two points given their 'x', and 'y' coordinates;

[tex]d = \sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}[/tex]

Therefore, by substitution, we have;

[tex]d = \sqrt{\left (9.2-1.3 \right )^{2}+\left (3.3-3.4 \right )^{2}} = \sqrt{\left (7.9 \right )^{2}+\left (-0.1 \right )^{2}} = \dfrac{\sqrt{6242} }{10} \approx 7.9[/tex]

d ≈ 7.9 units

Therefore, we have;

7.9 units of the graph = 3294 kilometers

1 unit of the graph ≈ 3294/7.9 km = 416.962025316 km ≈ 416.96 km

Therefore, the scale Myra should use for her map is 1 unit = 400 km.

write an equation for the line (1,2) and (3,-4)

Answers

Answer:

y=-3x+5

Step-by-step explanation:

If this helped you please rate this comment, give it a like, and maybe mark it as branliest!

Debbie bought x pens. She paid $0.75, including tax, per pen. She gave the cashier $20 and received $8.75 in change. How many pens did Debbie purchase?

Answers

Answer:

15

Step-by-step explanation:

if she gave 20$ and got 8.75$ in change, she payed 11.25$

11.25$ (total) / 0.75 (per pen)= 15 (pens she bought)

NEEEED HELP!!!!!!!!!

Answers

Answer:

1/3 is your awnser also what ur name in prodigy ill play with u im level 100

Step-by-step explanation:

Answer:

[tex] \frac{2}{5} + \: x = \frac{11}{15} [/tex]

5.3=15

2.3=6

[tex] \frac{6}{15} + \frac{5}{15} [/tex]

Find 39.5% of 373. Round to the nearest hundredth

Answers

39.5% of 373. is 147.336

help me please i don’t understand

Answers

Answer:

please go through the steps

Pls help I hate math
A water container in the shape of a rectangular prism has a length of 2 meters, a width of 3/4 meter, and a height of 1/2 meter. If a cubic meter of water costs $1.20, what is the cost to fill the container?

Answers

Answer:

look below!

Step-by-step explanation:

For the length I think you meant 32, and if you did it is $14.40

If not and you meant length of 2 it is $0.90

Answer:

lxwxh for volume.

2x.75x.5 = .75 cubic meters.

.75 percent of 1.20 = .90.

90 cents is the answer.

(4X + 7) X [5(X - 40)]

Answers

Answer:

4X + 7) =[5(X - 4)]{vertically opposite angle}

4x+7=5x-20

5x-4x=7+20

x=27

A car moving on a highway covers the first 400.0 m in 18.0s and then covers the next 250.0 m in 24.0 s.

What is the average speed of the car?

Answers

Answer: 15.48 m/s

Step-by-step explanation:

The following information can be gotten from the question:

Total distance covered by the car will be:

= 400m + 250m

= 650m

Total time taken = 18.0s + 24.0s = 42s

Average speed = Distance/Time

= 650/42

= 15.48 m/s

1

What is the slope of this non-vertical line? Use your transparency if needed.

3

There’s no further instructions on this please help

Please help

Answers

Answer:

Assuming that the line is completely horizontal, that the 1 at the top is indicating the question number, and that the 3 is the only other piece of information given about the line, I think it's y = 3. I hope this is right, sorry because that's a terrible question. Good luck!

Cheyenne bought 60 tickets for rides at an amusement park. Each ride costs 4 tickets, and Cheyenne has been on x rides so far. Write an expression is equivalent to the number of tickets that Cheyenne has left?​

Answers

Answer:

x=number of rides taken

y=number of tickets left

60=4(x)+y

If rectangle LMNO were rotated 180° clockwise about the origin to create rectangle L'M'N'O', what would the measure of angle O' be?

Answers

9514 1404 393

Answer:

  90°

Step-by-step explanation:

Any corner angle in a rectangle is 90°. Rotating the figure does not change that. Angle O' = 90°.

_____

Additional comment

No rigid transformation (translation, rotation, reflection) changes any angles. Nor does uniform dilation (the kind we usually study). Hence any rectangle that is translated, rotated, reflected, or dilated will still have all angles measuring 90°.

Evaluate the expression 9.3^1

Answers

Answer:

9.3

Step-by-step explanation:

18 = r/3 what is r???

Answers

Answer:

54

Step-by-step explanation:

r/3 = 18

r/3 * 3 = 18 * 3

r = 54

Answer:

54

Step-by-step explanation:

multiplication is the opposite of division so you can do 18*3=54 and you can check that by dividing 54 and 3 and the answer is 18

what does 3(y + 4) = 3y + 12 equal?

Answers

Answer:

15y

Step-by-step explanation:

If you add 3 and 12 together you get 15 and when you get 15 you add in the y

Answer:

Y= - 4/3x + 4

Hope this helps :))

Write a polynomial in standard form that represents the area of the shaded region.

Answers

Answer:

[tex]A=p^2-2p-3[/tex]

Step-by-step explanation:

The area for a triangle is given by:

[tex]\displaystyle A=\frac{1}{2}bh[/tex]

The base is p + 1 and the height is 2p - 6. Therefore:

[tex]\displaystyle A=\frac{1}{2}(p+1)(2p-6)[/tex]

Simplify the second term:

[tex]\displaystyle A=(p+1)(\frac{1}{2})(2p-6)=(p+1)(p-3)[/tex]

Distribute:

[tex]A=p(p-3)+1(p-3)[/tex]

Distribute:

[tex]A=p^2-3p+p-3[/tex]

Combine like terms:

[tex]A=p^2-2p-3[/tex]

The following graphs are transformations of f(x) = x^2.




Complete the boxes below to describe the transformations.


A(x) = f (x + _) + _
B(x) = f (x + _) + _
C(x) = f (x + _) + _
D(x) = f (x + _) + _

Answers

Step-by-step explanation:

Let's look at A(x) and see how it is different from f(x)

it is shifted downwards by 8 unitsit is not shifted to the left or the right

Therefore A(x) = f(x) - 8

Let's look at B(x) and see how it is different from f(x)

it is not shifted downwards or upwardsit is shifted to the left 7 units

Therefore B(x) = f(x + 7)

Let's look at C(x) and see how it is different from f(x)

it is shifted upwards by 4 unitsit is shifted to right by 5 units

Therefore C(x) = f(x - 5) + 4

Let's look at D(x) and see how it is different from f(x)

it is not shifted downwards or upwardsit is not shifted to right by 12  units

Therefore D(x) = f(x - 12)

The value of w and what mistake was made

Answers

Answer:

w=95

Step-by-step explanation:

You can add ________ without changing either fraction's denominator.

A
1/3 and 1/2

B
3/7 and 4/5

C
2/3 + 2/5

D
2/5 and 3/5

Answers

Answer:

D I believe (so 2/5 and 3/5)

Answer:

D

Step-by-step explanation:

Because D has same dominator and you don’t change dominator when adding fractions

Hope this helps.

Mark brainliest if it help.

HELP PLEASE I'll mark you brainliest
What problem did Americans face at home as the War of 1812 developed on the seas?
a shortage of American goods
strained relations with American Indians
challenges of settling untamed lands
a divided government

Answers

The answer is the first one . A

The correct answer is A

how many terms are in this expression 5b+26t-72

Answers

Answer:

3 terms

Step-by-step explanation:

5b+26t-72

Since none of the terms are like terms, we cannot combine them

There are 3 separate terms, 5b, 26t, 72

Pleaseeee helppp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

It’s 6 because the full length is 12 and it’s asking for the half of it

what is the slope of (4,6) and (-6,2)​

Answers

Answer:

2/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(2-6)/(-6-4)

m=-4/-10

simplify

m=2/5

Answer:

Step-by-step explanation:

Slope is m=(y2-y1)/(x2-x1)

m=(2-6)/(-6-4)

m=-4/-10

m=2/5

Rosalia passed out fliers that say, “Vote for Rosalia!" She
gave out 85 fliers on Monday, 66 fliers on Tuesday, and
99 fliers on Wednesday. What fraction of the fliers did
she give out on Wednesday? Use a diagonal fraction bar
in your answer Explain how you found the answer

Answers

Answer:

Step-by-step explanation:

there is a total of 250 fliers. the simplist form is 99/250

Answer:80

Step-by-step explanation:it’s -19 then +33 so 85-19=66 and 66+33=99

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