The diagram shows rays of light from a point source, P, that reach a detector, D, along two paths. One path is a straight line, while the other is bent by reflection off a mirror. What is the value of b, correct to one decimal place? Assume that all the points in the diagram lie in the same plane.

Answers

Answer 1

This can solved using the cosine law which is:

c² = a² + b² - 2ab cos θ

Using the values given from the problem

6² = b² + b² - 2bb cos 112.62

And solving for b

36 = 2b² - 2b² cos 112.62

b = 3.6

The answer is the 3rd option.

Answer 2

Answer:

b = 3.6

Step-by-step explanation:


Related Questions

can you find the lengths and area and type the correct code? Please remember to type in all caps with no space​

Answers

Answer:

EGFB

Step-by-step explanation:

To find the lengths of PQ and RS, we can use the Pythagorean Theorem, becasue both triangles have right angles. Base x height equals the area of the rectangle, and base x height divided by 2 gets us the height of the triangle. Thus:

1. 233 meters

2. 21, 840 square meters

3. 241.87 meters

4. 12, 600 meters

Hope this helps.

What do I do?

Backstory)) Today as I was waking to lunch with a few people that were my so called friends, they are in the dance team and they wanted to go and help sell tickets there was one small table to sell tickets. But the thing is that there is only room for about 4 people on that table but they fit 7 which logically I think we all know that 7 people don’t need to sell tickets, only if 2 people actually bought tickets

So as we entered the cafeteria I followed them (I am not on the dance team) they went to that very table then I asked the obvious question where should I sit? Cause there want room for me. Then one of my friends pointed at an empty table and told me to sit there. I sit there the whole lunch eating only a few. I am stressed when nobody is next to me eating which causes me to eat less. Cause I feel everyone is staring at me. So I act like I am fine. Then after that we had some free time. I went to the bathroom the whole free time to just cry. But the thing is as the free time started they didn’t come and get me they just walked off so that’s why I went to the restroom and stayed in there for a little till the bell rang.

So what should I do they are going to do the same thing tomorrow and I am getting stressed cause I have no other friends to sit with.

Answers

Answer: I would see the councilor and see if that can help thats what I did they gave me option and I also could have had a pass to eat with a teacher or I could eat in there office :)

find reason and statements

Answers

Answer:

Missing reason/statements:

R1, R2, R3 - GivenS4. ∠1 ≅ ∠3R4. Transitive propertyR5. Definition of congruenceS6. m∠1 = 120°R6. Substitution


Find the perimeter of the
triangle.
16% + 16) cm
(9%-11) cm

Answers

Answer:

Step-by-step explanation:

Three equal sides, so lets find one by solving for x

6x + 16 = 9x-11

      -3x = -27

         x = 9

6(9) + 16 = 70

 9(9) - 11 = 70

70(3) = 210 cm

4/8 x 4/5 = ? Help me please

Answers

hope it helps...................

[tex] \frac{4}{8} \times \frac{4}{5} [/tex]

Simplify:

[tex] \frac{4}{2} \times \frac{1}{5} [/tex]

[tex] \frac{4}{10} = \frac{2}{5} [/tex]

The graph of y=3x+2x-2^2 is shown. A) what are the coordinates
Will mark BRAINELIST please answer both!!

Answers

Answer:

(

2

,

8

)

Explanation:

Two lines are parallel if they share the same slope.

Any line parallel to

y

=

10

x

will have the slope 10.

Now, we have:

y

=

3

x

2

2

x

We try to find

d

y

d

x

=>

d

d

x

(

y

)

=

d

d

x

(

3

x

2

2

x

)

Step-by-step explanation:

Can someone help answering my questions in English and Math

Answers

Answer:

yo

Step-by-step explanation:

i have so many points help me
Divide.

(−15)÷(−45)

What is the quotient?

Enter your answer as a simplified fraction in the box.

Answers

0.33 and it keeps on repeating you’re welcome

Please help with this question! (Brainliest)

Answers

Answer: -45j -9k

Step-by-step explanation:

Answer:

-45j - 9k

Step-by-step explanation:

[tex] - 9 \: \: . \: \: (5j + k) \\ - 9(5j) -9(k) \\ - 45j - 9k \\ [/tex]

5(x + y)2 + (x + y) − 4

Answers

Answer:

11x+11y-4

Step-by-step explanation:

10xy+x+y-4 (i simplified). im not sure

La barbería El Caleño, tiene en promedio 120 clientes a la semana a
un costo actual de $6000 por corte de cabello. Se sabe que por cada incremento
de $700 en el precio, la peluquería pierde 10 clientes. ¿Cuál es el precio máximo
que puede cobrarse de modo que los ingresos semanales no sean menores que los
actuales?

Answers

Queremos maximizar el precio de tal forma que los ingresos no disminuyan.

Ese maximo precio es: $14,040.6

Sabemos que actualmente el precio es:

p = $6,000

El número de clientes es:

C = 120

Actualmente los ingresos son el producto de esos dos números, es decir:

ingresos = $6,000*120 = $720,000

Ahora sabemos que por cada incremento de $700 en el precio, el número de clientes decrece en 10.

Entonces podemos escribir el número de clientes como una ecuación lineal.

C(p) = a*p + b

tal que tenemos dos puntos en esa linea:

($6,000, 120)

($6,700, 110)

La pendiente es:

[tex]a = \frac{110 - 120}{\$6,700 - \$6,000} = \frac{-10}{\$ 700}[/tex]

Entonces tenemos:

C(p) = (-10/$700)*p + b

Sabemos que:

C($6,000) = 120 = (-10/$700)*$6,000 + b

                     120 = -85.71 + b

                     120 + 85.71 = b =

Entonces la ecuación lineal es:

C(p) = (-10/$700)*p + 205.71

Los ingresos serán dados por:

ingresos = C(p)*p = (-10/$700)*p^2 + 205.71*p

Y queremos maximizar p de tal forma que esto sea igual a lo que obtuvimos antes:

(-10/$700)*p^2 + 205.71*p = $720,000

Entonces debemos resolver la ecuación cuadratica:

(-10/$700)*p^2 + 205.71*p - $720,000 = 0.

Las soluciones son dadas por la formula de Bhaskara.

[tex]p = \frac{-205.71 \pm \sqrt{(205.71)^2 - 4*(-10/\$ 700)*\$ 720,000} }{2*(-10/\$ 700)} \\\\p = \frac{-205.71 \pm 195.45}{(-20/\$ 700)}[/tex]

La solución de maximo valor es:

p = (-205.71 - 195.45)/(-20/$700) = $14,040.6

Sí quieres aprender más, puedes leer.

https://brainly.com/question/8926135

it’s for i ready. please help

Answers

Answer:

6, 12, 18, 24, 30, 36, 42, 48, 54 (the bolded numbers go in the box)

Step-by-step explanation:

1. To find the multiples of 6 between 6 and 54, we have to multiply 6 by numbers from 1 to 9.

6 × 1 = 66 × 2 = 126 × 3 = 186 × 4 = 246 × 5 = 30 6 × 6 = 36 6 × 7 = 426 × 8 = 48 6 × 9 = 54

Therefore, the multiples of 6 between 6 and 54 are 6, 12, 18, 24, 30, 36, 42, 48, 54. (again, the bolded numbers go in the boxes)

Evaluate the expression when a=1- and c =4

a+9c=

Answers

Answer:

35

Step-by-step explanation:

1-9(4)

1-36

help me please!!!!!!!!!!!!!!

Answers

Answer:

7√ 121

Step-by-step explanation:

Please show steps please

Answers

Answer:

x - 2, remainder -4

or

x - 2 + (-4)/(x + 6)

Step-by-step explanation:

                           x - 2

                      --------------------------------

           x + 6   |  x^2 + 4x - 16

                 -       x^2 + 6x

                -----------------------

                                -2x - 16

                         -      -2x - 12

                        ------------------

                                          -4

Answer:

x - 2, remainder -4

or

x - 2 - 4/(x + 6)

Answer:

x - 2

Step-by-step explanation:

I uploaded a photo!

Plz help I need help

Answers

They are proportional

PLEASE HELP ITS MATH THANK YOUUUU HURRY

Answers

You need to get this app, it’s so helpful!

Lisa bought a refrigerator on sale for 50% off the original price, for $235. What was the original price before the sale?

Answers

Answer:

470$

Step-by-step explanation:

50% = 1/2

235 * 2 = 470

two less than seven times a number c

btw this is write the phrase as an algebraic expression​

Answers

Answer:

3c-2

Step-by-step explanation:

Hope it helps!!!!!!!

cuantos paquetes de 5/8 de kilo harán falta para envasar 125 kilos de harina

Answers

Step-by-step explanation:

dcfhhjjvcdddfhjkhfsazgjhsswrup07532490ojdhj

Help help please please

Answers

Step-by-step explanation:

s=9×8/6

s=12.

hope this helps you.

Answer: 12

Step-by-step explanation:

using ratio;

[tex]\frac{6}{9}=\frac{8}{x}[/tex]

[tex]\frac{2}{3}=\frac{8}{x}[/tex]

[tex]x=\frac{(8)(3)}{2}[/tex]

[tex]x=\frac{24}{2}[/tex]

[tex]x=12[/tex]

please give me a brainliest answer

please help me with this sum​

Answers

Answer:

391 × 5 = 1955

621 × 3 = 1863

481 × 7 = 3367

531 × 6 = 3186

981 × 2 = 1962

761 × 9 = 6849

581 × 8 = 4648

431 × 3 = 1293

271 × 4 = 1084

821 × 4 = 3284

P(x) = 4x3 + 5x + 9, D(x) = 2x + 1

Two polynomials P and D are given. Use either synthetic or long division to divide
P(x)
by
D(x),
and express P in the form
P(x) = D(x) · Q(x) + R(x)

Answers

Records on my fingers and I just can’t stop done done done

Round 159,095 to the tenths place

Answers

The number wouldn’t change because the “tenths” place is behind the decimal

Answer:

159,100

Step-by-step explanation:

#dkdjdjdjdidididi )llllllllllllllll

Two bicyclist are 180 miles apart when they start racing towards each other. If their speeds are 14 mph and 16 mph respectively, how long will it be before they are twenty miles apart? I WILL MARK AS BRANLIEST IF YOU GOT THIS CORRECT!

Answers

Answer:

5 hours 20 minutes

Step-by-step explanation:

Distance traveled to be 20 miles apart

180 - 20 = 160 miles

Combined speed

14 + 16 = 30 mph

time = distance / speed

t = 160/30

t = 5 1/3 hours

t = 5 hours 20 minutes

Answer:

5 hours and 20 minutes

Step-by-step explanation:

it will take them 5 hours and 20 minutes.

3 to the power of 1/7

Answers

Answer: 0.42857142857

Step-by-step explanation:

(I NEED THE ANSWER FAST PLS) Explain how to use place value and the distributive property to find the product of 828 and 9. (also, please do not give the edge sample answer)

Answers

Answer:

7452

Step-by-step explanation:

Answer:

Sample Response: First, write 828 as a sum of 800 + 20 + 8. Next, multiply each number by 9. Add the products to get 7,452.

Step-by-step explanation: edge 2021

16. A craft shop sold 150 pillows. Small pillows were $6.50 each and large pillows were $9.00 each. If the total amount collected from the sale of these items was $1180.00, what is the total number of each size pillow that was
sold?

Answers

Answer:

82 large pillows, 68 small pillows

Step-by-step explanation:

Suppose all pillows sold were small pillows:

150×$6.50=$975

$1180-$975=$205

$9-$6.50=$2.50

$205÷$2.50=82 (no of large pillows sold)

No. of small pillows sold

=150-82

=68

(Please help!) Which table shows a function that is decreasing only over the interval (–1, ∞)?

Answers

Answer:

Table D

Step-by-step explanation:

Lets verify is the function is decreasing in the given interval.

Table A-5, -2, -1, 2 ⇒ this is increasing, noTable B-7, -6, -1, 1  ⇒ this is increasing, noTable C-1, 2, 1, -6  ⇒ this is neither increasing, nor decreasing, noTable D1, 0, -4, -8 ⇒ this is decreasing, yes

the 4.1 m of concrete is made into the shape of a cylinder. The base has radios 0.5 metres. work out the height of the cylinder ( photo attached)

Answers

Answer:

5.22m

Step-by-step explanation:

Rearrange the formula - volume = π × r² × h:

h = volume ÷ (π × r²)

volume = 4.1m³r = 0.5

Plug in the numbers:

h = 4.1 ÷ (π × 0.5²)

h = 5.22028... ≈ 5.22m

Hope this helps!

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