Scientists bounce a laser beam off a mirror. It reflects at the same angle as it hits the
mirror and is detected by an instrument several inches away.
Calculate the total distance of the laser beam travels. Round to the nearest tenth if necessary.

Scientists Bounce A Laser Beam Off A Mirror. It Reflects At The Same Angle As It Hits Themirror And Is

Answers

Answer 1

Answer and Step-by-step explanation:

Simply use triangles to find the length of the lasers.

The first triangle consists of the sides of 12 inches, 18 inches, and the laser (which is the hypotenuse).

Use the Pythagorean theorem to solve for the hypotenuse.

([tex]a^{2}+ b^{2} = c^{2}[/tex])

[tex]12^{2} +18^{2} = l^{2} \\\\144 + 324 = l^{2} \\\\468 = l^{2} \\\\Square-root-both-sides\\\\\ \\\sqrt{468} = l[/tex]

l ≈21.633

Now, we solve the other triangle.

[tex]9^{2} +6^{2} = l^{2} \\\\81 + 36 = l^{2} \\\\117 = l^{2} \\\\Square-root-both-sides\\\\\sqrt{117} =l\\l = 10.8167[/tex]

Now, add those two hypotenuses.

21.6333 + 10.8167 = 32.45

32.45 rounds up to 32.5

32.5 is the total distance the laser beam travels.

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Related Questions

Neeeeed helpppppp please

Answers

Answer:

Scale factor = 7

Step-by-step explanation:

Dilation with scale factor to map HEFG to DABC will be,

Scale factor = [tex]\frac{\text{Dimension of Image DABC}}{\text{Dimension of preimage HEFG}}[/tex]

                    = [tex]\frac{\text{Length of CD}}{\text{Length of GH}}[/tex]

Length of CD = Distance between two points C(0, -7) and D(-7, 0)

                       = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

                       = [tex]\sqrt{(-7-0)^2+(0+7)^2}[/tex]

                       = [tex]\sqrt{98}[/tex]

                       = [tex]7\sqrt{2}[/tex]

Length of GH = Distance between G(0, -1) and H(-1, 0)

                       = [tex]\sqrt{(-1-0)^2+(0+1)^2}[/tex]

                       = [tex]\sqrt{2}[/tex]

Scale factor = [tex]\frac{7\sqrt{2} }{\sqrt{2} }[/tex]

                    = 7

.......... .. ........ I..

Answers

What but what’s even the question
.......... | ..... | .. |

Find 80% of 14,236.
Enter the correct answer in the box.

Answers

Answer:

Step-by-step explanation:

11388.8

Hope it helped you.

Please mark me brainliest.

Answer:

11388.8

Step-by-step explanation:

plz brainliestt

-3/4 x (-12)= I need help please this is hard

Answers

Answer:

9

Step-by-step explanation:

Hope this helps and have a great day : )

Answer:

hiiioiofffffrrrrrtttttttt

Use the proportion. What is 72% of 150

Answers

Answer:

108

Step-by-step explanation:

150x0.72=108

Step-by-step explanation:

72% of 150

=> (72/100)×150

=> 10800/100 [ Because, 72×150=10800 ]

=> 108

Thus, 72% of 150 is 108.

Hope this helps you.

find the values of z and y plssss

Answers

Answer:

z is 23 and i dont see a y

Step-by-step explanation:

Johnny pays $5 a month to use an online ordering service for his company. He has to pay an additional $2 for each order placed. Graph the
equation y=2x+5 to model this equation

Answers

Answer:

May you send the picture of the provided graph number?

Step-by-step explanation:

Unable to answer without photo.

The equation [tex]y = 2x + 5[/tex] can be used to model the cost, y, that Johnny pays to use the online ordering service for his company, depending on the number of orders placed, x.

The constant term in the equation, 5, represents the fixed monthly fee Johnny has to pay regardless of the number of orders he places. The coefficient of x, 2, represents the additional cost per order. To graph this equation, we can plot points on a coordinate plane using different values of x and solve for y. Let's consider a few options: When x = 0 (no orders placed), [tex]y = 2(0) + 5 = 5[/tex] . So the point (0, 5) is on the graph. When x = 1 (one order placed), [tex]y = 2(1) + 5 = 7[/tex] . Therefore, the point (1, 7) is on the graph.

Suppose x = 3 (three orders placed), [tex]y = 2(3) + 5 = 11.[/tex]  Hence, the point (3, 11) lies on the graph. Once we have a few points, we can connect them with a straight line. The graph will show that as the number of orders placed increases, the cost Johnny pays to use the online ordering service will also increase at a constant rate of $2 per order.

The line will have a positive slope and intercept the y-axis at (0, 5). In summary, the graph of the equation [tex]y = 2x + 5[/tex]  represents the cost Johnny pays to use the online ordering service, with a fixed monthly fee of $5 and an additional charge of $2 per order placed.

To know more about coordinate plane visit:

https://brainly.com/question/13611766

#SPJ2

~Hi ~ me ~ again ~ sorry ~ can ~ you ~ please ~ help ~ me ~ out ~ once ~ more?~

Answers

Answer:

b 19

Step-by-step explanation:

Answer:

the answer is 19, B.

Step-by-step explanation:

this is my first time answering a question. i hope this helps you.

I need help with this question

Answers

Answer: yes

Step-by-step explanation:

a dilation is increasing the size, even just by a slight bit. that is where dilating your eyes comes into play, it is making your pupils bigger. so yes, this seems to be a dilation.

Anne decided to build a fence around her 15 feet long flower bed. How many feet of fencing should she buy if the width of the flowerbed is 4/5 the length?

Answers

Answer:

[tex]54[/tex] feet

Step-by-step explanation:

Length of the flower bed [tex]=15[/tex] feet.

Width of the flower bed is [tex]\frac{4}{5}[/tex] the length.

So, width [tex]=\frac{4}{5}\times 15=4\times 3=12[/tex] feet.

To find the length of the fencing, we need to find the perimeter of the flower bed.

Perimeter of a rectangle [tex]=2(\textrm{length} + \textrm{width})[/tex]

So, perimeter of the flower bed [tex]=2(15+12)=2\times 27 = 54[/tex] feet.

Hence, [tex]54[/tex] feet of fencing is required for the flower bed.

Two cars travel at the same speed to different destinations. Car A reaches its destination in 20 minutes. Car Breaches its destination in 38
minutes. Car B travels 8 miles farther than Car A. How fast do the cars travel?

Answers

Answer:

29mph

Step-by-step explanation:

I need the answer for -6p > 6

Answers

Answer:

p could be -2 or higher

Step-by-step explanation:

Answer:

p<−1

Step-by-step explanation:

-6 both sides

What are like terms? (Pls give an example of one too)

Answers

Answer:

Step-by-step explanation:

Like terms are terms that have the same variable raised to the same exponent. For example, 7z and 2z are like terms because they have the same variable, z, and are raised to the same exponent, 1. 5x² and 10x are not though, because the first one is raised to a power of 2, whereas the latter is only raised to a power of 1. And numbers with different variables, like 7x and 3z, are not either.

Answer: like terms are terms that have the same variables and powers

For example: 3x and 4x are like terms because they both are x and only x. 12xy and 4y would not be like terms because they don’t share the same variable. if it was 5x ² and 8x ² they would be like terms. i hope this helps!

Question 1
1 pts
A furniture company has 15 trucks that can make
120 deliveries each day. How many trucks would
they need to make 160 deliveries each day?

Answers

They would need 20 trucks because each carries 8 deliveries

hurry up pls!!!!!!! How can shaded regions on a graph model inequalities?​

Answers

When inequalities are graphed on a coordinate plane, the solutions are located in a region of the coordinate plane, which is represented as a shaded area on the plane. The boundary line for the inequality is drawn as a solid line if the points on the line itself do satisfy the inequality, as in the cases of ≤ and ≥

10
Convert from Standard Form to Slope-Intercept Form *
(10 Points)
-4y + 2x = -20
Enter your math answer
Submit

Answers

Your answer is y = 1/2x + 5

Can somebody please tell me the answer to this

Answers

i think the answer is d it’s really the only one that makes sense
The answer would be D. 3 2/5

the difference between 14 and another number is - 17.what are the possible numbers?​

Answers

Answer:

-31

Step-by-step explanation:

14 + x = -17

x = -31

-14 - 3 is -17.

Ahhhhhhhhhh

Write the inequality this number line represents.

Answers

Answer:

[tex]x\leq 2[/tex]

Step-by-step explanation:

Since the bot is filled in it is going to include [tex]\leq[/tex] or [tex]\geq[/tex]

Since the arrow is pointing to numbers below 2, 2 must be bigger. This is the answer:

[tex]x\leq 2[/tex]

In the expression 10 - b²a, the co-efficient of ‘a’ is ?

Answers

Answer:

-b²

Step-by-step explanation:

a's coefficient is -b² because that is what a is being multiplied by.

What is the difference between (-15) and (+20)?

Answers

Answer:

-35

Step-by-step explanation:

-15 -20

= -35

But if you want the positive difference, it would be 35

Answer:

Step-by-step explanation:

-15-(+20)=-15-20=-35

What is the midpoint of (10,-5) and (2,-1)

Answers

(6,-3) Hope that helps

5(14 – 39 ÷ 3) + 4 •

Answers

Answer:

9

Step-by-step explanation:

Answer:9

Step-by-step explanation:

hurry please what is 1+1

Answers

Answer:

2

Step-by-step explanation:

Hope this helps!! Have a blessed day!

Answer:

1 + 1 = 2

Step-by-step explanation:

This is because if you count on your fingers one and one, you get two. I hope this helps!!

Given f(x)=2x+1, find x if f(x)=17
Given f(x)=x+3, find x if f(x)=6

Answers

X=8
X=3
Sorry if it’s wrong

There are 20 different colored marbles in a bag and 4 of them are yellow. What
percentage of the marbles are yellow?

Answers

Answer:

20%

Step-by-step explanation:

4/20 * 100=20

I NEED HELP PLEASE !!!!!

Answers

Answer:

75°

Step-by-step explanation:

Find the difference between the angles.

112 - 37 = 75

WILL GIVE BRAINLIEST PLEASE ANSWER ASAP

Answers

Answer:

Circle man ez

Step-by-step explanation:

Answer:

Circle

Step-by-step explanation:

There is no way you could cut this where you would get a circle.

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y = -3x-8

Step-by-step explanation:

Sherry buys a pair of boots from Rack Room Shoes for $45.00. What is the total amount paid if
the sales tax is 7%?
b. $38.70
a. $52.00
c. $48.15
d. $47.00

Answers

Answer:

Before Tax Price: $45.00

Sale Tax: 7.00% or $3.15

After Tax Price: $48.15

here u go love

Step-by-step explanation:

Answer:

C.)$48.15

Step-by-step explanation:

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