Emma is playing miniature golf. Her ball is 2 feet of the right-wall. The hole is 4 feet to the left of the wall. The distance along the wall between her ballet and the hole is 18 feet. There is an obstacle between between her ball and the hole, so Emma must hit her ball off the right-hand wall to reflect it towards the hole. How far down the wall should she aim?

Answers

Answer 1

Answer:

She should aim 6 feet down the wall

Explanation:

The diagram attached sketches the situtation.

Since the angle with which the ball hits the wall is the same with which it bounces, angle β is the same for the two shown triangles.

Then, since both are right triangles, then all the angles are congruent and the triangles are similar. Hence, you can equal the ratios of the sides, to make an equation:

x/4 = y/2 ⇒ x = 2y

You have other equation:

x+ y = 18

Substitute

2y + y = 18

3y = 18

y = 18/3

y = 6 ← this is the distance down the wall where the ball should hit

x = 2(6) = 12

Then, she should aim 6 feet down the wall.


Related Questions

Andrew is using three pieces of scrap wood to build a wall shelf in his bathroom. The shelf will be shaped like a triangle, and the pieces of scrap wood measure 12 inches, 15 inches and 9inches long. Will the shelf be shaped like a right triangle? *

yes or no

Answers

no i dont believe so

Answer:

The answer is yes

Step-by-step explanation:

12=a

9=b

15=c

a+b=c

lee spent $26.85 for 3 yards of material what was the cost of 9 yards?

Answers

Answer:

$80.55

Step-by-step explanation:

Answer: $80.55

Step-by-step explanation:

First way:

3 yards cost $26.85

1 yard will cost $26.85 ÷ 3

26.85 ÷ 3 = 8.95

1 yard costs $8.95

9 yard will cost $8.95 × 9

8.95 × 9 = 80.55

9 yards cost $80.55

Second way:

3 yards cost $26.85

9 yards will cost $26.85 × 3

26.85 × 3 = 80.55

9 yards cost $80.55

Hope this helped!

Math question highschool​

Answers

Answer:

3589.85763 meters

Step-by-step explanation:

Essentially, we must have e^(-0.00012h) = 0.65 since 0.65 = 65%

Taking natural log of both sides, we get

-0.00012h = -0.430782916

0.00012h = 0.430782916

h = 3589.85763

Answer:

3589.8 Meters

Step-by-step explanation:

II used a graphing caculator that I had. Let me know if I need to write it out for you. Have a great day!

Which graph represents the solution set of the inequality 3x + 2y < 4?

Answers

Answer:

the answer is B any questions

Graph the following system:
y=5x+ 3
Y=1/3x-3

Answers

Answer:

Step-by-step explanation:

I hope this helps

Step-by-step explanation:

here's a tip if u have questions asking about grapihing those kinds of questions

use desmos graphing calculator it really helps and all u do is insert the equation and it graphs it for uu

hope this helps!!

Does anyone know why I only got 2/3 marks, and can you explain how to get 3 marks please. Please answer.

Answers

Answer:

294cm²

Step-by-step explanation:

You didn’t convert from meters to centimeters.

It was 2.94m².

That equals 294cm².

Can Someone please help

Answers

The answer would be x= 3
(If you’d like me to explain I can)

Hope this helps

Have a great day/night

My last math question! I need help. I'm not good at math so I'm relying on who ever do this to do so correctly!!!!

Answers

Answer:

c

Step-by-step explanation:

Find the value of x.

Answers

Answer:

x = 12

Step-by-step explanation:

it's indicated that all angles of this triangle are congruent; this means the triangle is called a 60-60-60 where all angles are 60 degrees.

If a triangle is equiangular then it is also equilateral, which means that if all angles are equal then all sides are equal.

I’m pretty sure x will also be 12

Determine the range of the following graph:

Answers

-4,6 I believe is the answer!!!!!!!!

A ticket to see your favorite baseball team costs ​$43.13. That price decreases by ​$0.45 for every game lost during the regular season. What equation could you use to find the cost C of a ticket after L​ losses? Represent the total change in the cost of a ticket after the team loses 39 games. What is the price of a ticket after the team loses 39 ​games?

Answers

Answer:

$25.58

Step-by-step explanation:

39 * 0.45= 17.55

43.13 - 17.55= $25.58

If x + 2y = 1, and 2x + y = 5, then x + y = ?
A.1 B.2 C.3 D4 E.5

Answers

I’m pretty sure it’s A

0.75x — 13 = 2
What's the value of x

Answers

Answer:

The value of x is 20.

Step-by-step explanation:

The steps are :

0.75x - 13 = 2

0.75x = 2 + 13

0.75x = 15

x = 15 ÷ 0.75

x = 20

Given: AD || BC and AD ≅ BC
Prove: AB || CD

Answers

Answer:

Statement 1: it is a parallelogram

Reason 1: if one pair of sides of a quadrilateral are parallel and congruent sides, then it is a parallelogram.

Statement 2: AB is parallel to CD

Reason 2: in a parallelogram opposite sides are parallel.

QED

The diameter of the circle above is 8 cm. What is the circumference of the circle? (Use = 3.14.)

Answers

Answer:

i think it's 25.12.

Step-by-step explanation:

because you multiple 2x3.14×4

What is the 117th term in the sequence 1,5,9,13,...

Answers

Answer:

the 117th number value is-->582

Answer:

465

Step-by-step explanation:

You can do 4n-3 as the equation and you get 4x117=468-3=465

I know it's correct because I had this question before :)

What is the equation of the line that passes through the point (5,−2) and has a slope of -2/5

Answers

Answer:

y= -(2/5)x

Step-by-step explanation:

When you graph this line you can see it clearly passes through the point (5,-2)

Answer:

y + 2 = -2/5 (x - 5)

OR

y = (-2/5)x

Step-by-step explanation:

There are many ways you can find the equation.

There are two main ones, one called point-slope form, and the other called slope intercept form.

Point-slope form is easy. All you need a a point on the line, and the slope! Since they give you that in the question, all you need to do is plug things in.

Point slope form is y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])

x and y are any points. [tex]x_{1}[/tex] and [tex]y_{1}[/tex] are the points that the problem gives you. m is the slope.

The equation would be y + 2 = -2/5 (x - 5).

Slope intercept form is a bit harder. You need a point and the y-intercept.

Since you already have the slope, all you need to find is the y-intercept.

Slope intercept form is y = mx + b

x and y are the given points. m is the slope, and b is the y-intercept.

The y intercept is when the x value of a point is 0.

To find b, you can plug in the information you have, which is the point and the slope.

y = mx + b

-2 = (-2/5)(5) +b

-2 = -2 +b

b = 0

Since b is 0, the equation would just be y = (-2/5)x.

Which Expression is equivalent to (2^3)^-5?
1/2^15
1/2^8
2^8
2^15

Answers

Answer:

Answer: 1/2^15

Step-by-step explanation:

Hope this helped

Triangle K L J is cut by line segment N O. Line segment N O goes from side L K to side L J. The length of L N is (x minus 3) inches, the length of N K is (x + 2) inches, the length of L O is (x minus 4) inches, and the length of O J is x inches. Which value of x would make Line segment N O is parallel to line segment K J? 1 6 8 10

Answers

Answer: x= 8

Step-by-step explanation:

According to the converse of basic proportionality theorem,

If in ΔABC , DE is a line drawn from AB to AC such that [tex]\dfrac{AD}{DB}=\dfrac{AE}{EB}[/tex]

then, DE is parallel to the third side BC.

Applying converse of basic proportionality theorem, to get NO parallel to KJ, we must have

[tex]\dfrac{LO}{OJ}=\dfrac{LN}{NK}\\\\\Rightarrow \dfrac{x-4}{x}=\dfrac{x-3}{x+2}\\\\\Rightarrow\ (x-4)(x+2)=x(x-3)\\\\\Rightarrow\ x^2-2x-8=x^2-3x\\\\\Rightarrow\ -2x+3x=8\\\\\Rightarrow\ x=8[/tex]

Hence, the value of x should be 8, so that Line segment N O is parallel to line segment K J.

Answer:

Option C- 8

Explanation:

Plug it in- Hope this helps :)

A doorway is 8 feet high and 4 feet wide. a square piece of plywood needs to be moved through the doorway the plywood is 10 feet long and 10 feet wide. Will the piece of plywood fit through the door if it is tilted diagonally?

Answers

Answer: No, because the length of the diagonal is close to 9 feet.

Step-by-step explanation:

Find the missing angle measure. ​

Answers

Answer:

h=60 2h=120

Step-by-step explanation:

the sum of 4 angles of a quadrilateral is 360 degree. so h+h+2h+2h=360

h=60 and 2h=120

Answer:

I hope it helps mate

as I promised I will help you

I will always help you understanding your assingments

enjoy your day

#Captainpower:)

what is the domain and range of the function f(x)=(1/5)^x

Answers

Answer:

domain: (- infinity, infinity) range:( 0, infinity)

Step-by-step explanation:

Please help and show workings

Answers

Given:

In an isosceles triangle,

One base angle = (4x-15)°

Vertex angle = 95°

To find:

The value of x.

Solution:

Let the triangle be ABC.

We have,

[tex]m\angle A=95^\circ[/tex]

[tex]m\angle C=(4x-15)^\circ[/tex]

Since ABC is an isosceles triangle and AB=AC, therefore, the base angles are equal.

[tex]m\angle B=m\angle C=(4x-15)^\circ[/tex]

Using angle sum property of triangles, we get

[tex]m\angle A+m\angle B+\angle C=180^\circ[/tex]

[tex]95^\circ+(4x-15)^\circ+(4x-15)^\circ=180^\circ[/tex]

[tex](8x+65)^\circ=180^\circ[/tex]

[tex](8x+65)=180[/tex]

On further simplification, we get

[tex]8x=180-65[/tex]

[tex]8x=115[/tex]

[tex]x=\dfrac{115}{8}[/tex]

[tex]x=14.375[/tex]

Therefore, the value of x is 14.375.

In the expression 12a + 5, identify the coefficient. MARKING BRAINLIST!

Answers

Answer:

12

Step-by-step explanation:

The coefficient is the number that comes before variables. In this case, there is only one variable so it is 12.

I hope this was helpful, and if my answer was correct, please mark this as brainliest! Thank you!

Answer:12is the coefficient of a

Step-by-step explanation:


Expand each of the following.
2(x + 8)​

Answers

Step-by-step explanation:

2(x+8)

2x+16..................

Here is the answer 2x+16

Solve for x. Round to the nearest tenth if necessary (will give brainliest please help!!!)

Answers

Answer:

41,1 I installed the solution. good work

Giving Brainist to 1st answer




Answers

Answer:

2

Step-by-step explanation:

The answer to that is 2

math!!!!!!!!!!!!!!!!!!

Answers

Answer:

24 blocks

Step-by-step explanation:

There are 9 blocks to the mall, 6 blocks to the movie theater, and then he walks 9 blocks to the store.

So Simply add them together and you will get 24.

Answer:

24 blocks

Step-by-step explanation:

There are 9 blocks to the mall, 6 blocks to the movie theater, and then he walks 9 blocks to the store.

Step-by-step explanation:

Solve for x. Then find the side lengths of the triangle. If needed, round to the nearest tenth of a foot.
40 ft
Bx ft
6x ft
side lengths =
ft and

Answers

Answer:

The side lengths are 17.9 feet and 35.8 feet

Step-by-step explanation:

Given lengths are;

40 feet, 3x feet and 6x feet

As the given triangle is right angled,

a = 3x, b = 6x and c = 40

Using Pythagorean theorem;

[tex]a^2+b^2=c^2\\(3x)^2+(6x)^2=(40)^2\\9x^2+36x^2=1600\\45x^2=1600\\[/tex]Dividing both sides by 45

[tex]\frac{45x^2}{45}=\frac{1600}{45}\\x^2=35.55[/tex]

Taking square root on both sides

[tex]\sqrt{x^2}=\sqrt{35.55}\\x=5.96[/tex]

Side lengths = 3x = 3(5.96) = 17.9 feet

and

6x = 6(5.96) = 35.8 feet

Hence,

The side lengths are 17.9 feet and 35.8 feet

Answer:

x=6

Sides= 36 & 18

Step-by-step explanation:

Find the length of side a.
A
3
A. 16
B. 4
C. 134
D. 2


HELP ASAP PLS

Answers

Answer:

B. 4

Step-by-step explanation:

Hypotenuse (h) = 5

base (b) = 3

perpendicular (p) = a = ?

We know by using Pythagoras theorem we get

p = √( h² - b²)

= √ ( 5² - 3²)

= √ (25 - 9)

= √16

= 4

Hope it will help :)

Answer:

B

Step-by-step explanation:

B is the right answer....you can use pythagoras theorem to get that i.e a=√5^2-3^2

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