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?

Answer:

4 skate boards

Step-by-step explanation:

We solve this question using Greatest Common Factor method

We find the factors of 8, 12 and 16

The factors of 8 are: 1, 2, 4, 8

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 16 are: 1, 2, 4, 8, 16

Then the greatest common factor is 4.

Thereeft, ,the greatest number of skate boards that can be put in a section is 4 skate boards

Answer:

there's 104 days of summer vacation

Given:

The canvas has 2 pairs of parallel sides and 4 right angles.

The sides are not all of equal length.

To find:

The shape of the canvas.

Solution:

Rectangle: A rectangle is a quadrilateral whose opposite sides are parallel and equal. All the interior angles of a rectangle are right angles.

Note: All sides of a rectangle are not equal. If they are equal then it is known as square.

It is given that the canvas has 2 pairs of parallel sides and 4 right angles. The sides are not all of equal length.

Therefore, the shape of the canvas is a rectangle.    

Answer:

40%

Step-by-step explanation:

Given data

Regular price =$70

Discount =$28

%discount= 28/70*100

%discount =0.4*100

%discount = 40%

Hence you will save 40%

Answer:

y = 3x + 2

Step-by-step explanation:

Ans : y = 3x + 2

Steps:

(2y-6x=4)/2

y=3x+2

Answer:

Graph 1 because if you just do the Y coordinate its much easier.

Answer:

graph 1

Step-by-step explanation:

the answer is graph 1

Answer:

The coordinates of the point b are:

b(x₂, y₂)  = (-5, -1)

Step-by-step explanation:

Given

As m is the midpoint, so

m(x, y) = m (-7, -2.5)

The other point a is given by

a(x₁, y₁) = a(-9, -4)

To determine

We need to determine the coordinates of the point b

= ?

Using the midpoint formula

[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

substituting (x, y) = (-7, -2.5), (x₁, y₁) = (-9, -4)

[tex]\left(-7,\:-2.5\right)=\left(\frac{x_2+\left(-9\right)}{2},\:\:\frac{y_2+\left(-4\right)}{2}\right)[/tex]

Thus equvating,

Determining the x-coordinate of b

[x₂ + (-9)] / 2 = -7

x₂ + (-9) = -14

x₂ - 9 = -14

adding 9 to both sides

x₂ - 9 + 9 = -14 + 9

x₂ = -5

Determining the y-coordinate of b

[y₂ + (-4)] / 2 = -2.5

y₂ + (-4) = -2.5(2)

y₂ - 4 = -5

adding 4 to both sides

y₂ - 4 + 4 = -5 + 4

y₂ = -1

Therefore, the coordinates of the point b are:

b(x₂, y₂)  = (-5, -1)

Answer:

the answer is 60 + 5x > 350

Answer:

Since all angles of a triangle add up to 180 degrees, b+2b+(b+24)=180

b=39 degrees

Step-by-step explanation:

b+2b+(b+24)=180

4b=156

b=39

Answer:

[tex]P = 22.75[/tex]

Step-by-step explanation:

Given:

See attachment for rectangle LINT

Required

Calculate its perimeter

From the attachment:

Considering triangle LYT, we apply Pythagoras theorem.

[tex]LT^2 = LY^2 + TY^2[/tex]

Where:

[tex]LY = 5.2[/tex]

[tex]TY = 3.9[/tex]

The formula becomes:

[tex]LT^2 = 5.2^2 + 3.9^2[/tex]

[tex]LT^2 = 42.25[/tex]

Take positive square root of both sides

[tex]LT = \sqrt{42.25[/tex]

[tex]LT = 6.5[/tex]

Next, we calculate the length of NT.

By comparing triangles LYT and NYT

We make use of the following equivalent ratios to solve for NT

[tex]NT:TY = LT:LY[/tex]

[tex]NT : 3.9 = 6.5 : 5.2[/tex]

Convert to fractions

[tex]\frac{NT}{3.9} = \frac{6.5}{5.2}[/tex]

Make NT, the subject:

[tex]NT = \frac{6.5}{5.2}*3.9[/tex]

[tex]NT = \frac{6.5*3.9}{5.2}[/tex]

[tex]NT = \frac{25.35}{5.2}[/tex]

[tex]NT = 4.875[/tex]

The perimeter (P) is then calculated as:

[tex]P = NT + LT + LI + NI[/tex]

Where

[tex]NT = LI[/tex] and [tex]LT = NI[/tex] -- opposite sides of rectangle.

So:

[tex]P = NT + NT + LT + LT[/tex]

[tex]P = 2NT + 2LT[/tex]

Substitute values for NT and LT

[tex]P = 2*4.875 + 2*6.5[/tex]

[tex]P = 9.75 + 13.0[/tex]

[tex]P = 22.75[/tex]

Hence, the perimeter is 22.75 units

Answer:

1:25

Step-by-step explanation:

Answer: plane a because it was 10.46 miles away

Step-by-step explanation:

Answer:

No. N-O.

Step-by-step explanation:

It's chance. On an average, normal flipping, you have a 50/50 chance (150/300) of getting tails.

This is an anomaly, but of course it's not impossible. Merely, it's just a rare occasion.

Answer:

C

Step-by-step explanation:

because 30÷6 is 5 and that is what should be placed

Amswer

The answer is 0

Answer:

-130

Step-by-step explanation:

f(10) just means you plug in 10 for any X's in the equation

So it would be... f(10) = -10^2-3(10)

Answer:

x=36° (180/5x because 2x+3x)

Step-by-step explanation:

Answer:

162

=12h+30w

=12(6)+30(3)

=72+90

=162

​

Answer:

A

Step-by-step explanation:

To find the area of a rectangle, it is length times width (10*3x), and if it equals 40, you could just write that after the equation, and then find out that "x" would equal [tex]\frac{4}{3}[/tex]

Answer:

30x = 40 ; x ≈ 1  

Step-by-step explanation:

[tex]A^{}[/tex] = [tex]l^{}[/tex] [tex]w^{}[/tex]

[tex]l^{}[/tex] = 10 inch.

[tex]w^{}[/tex] = 3x

10(3x) = 40

30x = 40 ; x = [tex]1\frac{1}{3}[/tex] ≈ 1

Answer:

7 ÷ 9 = 0.77777777777

= 0.778

The given fraction 7/9 as a decimal rounded to 3 decimal places is 0.778.

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

To convert a fraction to a decimal, we need to divide the numerator by the denominator.

Here, we have:

7/9 = 0.777777...

7 divided by 9 gives us a repeating decimal of 0.7777777... and so on.

To round this to 3 decimal places, we need to look at the fourth decimal place. If it is 5 or greater, we round up the third decimal place. If it is less than 5, we simply leave the third decimal place as is.

In this case, the fourth decimal place is a 7, which means we need to round up the third decimal place.

Therefore, 7/9 as a decimal rounded to 3 decimal places is 0.778.

Learn more about the fraction here:

brainly.com/question/10354322

#SPJ2

Answer:  

Home 30, visitor 17.

Step-by-step explanation:

Visiting team score is x. Home score is then x+13. Total of both is 47 so...

x+(x+13)=47

2x+13=47

2x-34

x=17

x+13=30

The score of  Home Team is 30 points.

The score of Visiting team is 17 points.

Here,

During the last schools football game, the Home Team scored 13 more points than the Visiting team.

The total of their scores was 47.

We have to find points of each team score.

What is Number system?

A number system is a system representing numbers. It is also called the system of numeration.

Now,

Let Visiting team score x points.

Then, Home team score is 13 more points than the Visiting team.

Home team score x + 13 points.

The total of their scores was 47.

Hence,

x + (x + 13) = 47

2x + 13 = 47

2x = 47 - 13

2x = 34

x = 17

So, The score of Visiting team is 17 points.

And, The score of  Home Team = 17 + 13 = 30 points.

Learn more about the number system visit:

https://brainly.com/question/17200227

#SPJ2

Answer:

-2

-2

Step-by-step explanation:

Answer:

it's 1/2 if you move left once and go up 2 it connects with the line

Answer:

I believe it is 2s

Step-by-step explanation:

a variable is a symbol which functions as a placeholder, so in this case, the placeholder is "s"

Answer:

Yes

Step-by-step explanation:

Answer:

2/3 as a decimal is 0.67 rounded otherwise it is 0.6 recurring

Step-by-step explanation:

Many calculators round the digit up so they dont repeat forever.

Just divide 2 / 3 and that makes 0.6 recurring

Answer:

Step-by-step explanation:

hope this helps. pls mrk me branliest :)

Answer:

1)24.25

2)21

Step-by-step explanation:

1) (a/4)^2=(20/4)^2=25

b/2/8=6/8=3/4

25-3/4

=100/4-3/4

=97/4

=24.25

2)2(x-y)^2=2(3)^2=18

x-y=3

=18+3

=21

Hope this helps!

Options:

A. −x2−2x+35=0

B. 5x2+40x+60=0

C. −4x2+24x−20=0

D. x2+12x+20=0

Answer: its not B

sorry it only let me choose once ttm2021