A laser beam is aimed 25° from horizontal at a mirror 120 m away. The beam bounces off the mirror and continues for an additional 90 m at 20° above horizontal until it hits a target, mirror 2. What is the distance between the origination point and the target?​

Answers

Answer 1

Answer:

A. Approximately 85 m

Step-by-step explanation:

edge

Answer 2

The required distance between the origination point and the target point is 85 m.

What are trigonometric equations?

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.

Here,
The distance between the origination point and mirror 1 is 120 m and between mirror 1 and mirror 2 = 90 m

From geometry, the measure of the angle Opposite the distance between the origination point and the target is given as,
= 20 + 25 = 45°

Let,

a = x

b = 90 m

c = 120 m

A = 45°

Following the cosine rule,

a² = b² + c² -2bccosA

a² = 90² + 120² - 2×90×120×cos45
a = √7226.5
a = 85.008

a ≈ 85

Thus, the required distance between the origination point and the target point is 85 m.

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Related Questions


Drag the numbers to match each expression with its product.
3
32
36
28
24
Expression
Product
4x9
4x7
4x8
4 x6

Answers

Answer:

4×9=36

4×7=28

4×8=32

4×6=24

Step-by-step explanation:

pls make me ur brainliest

is 6 classified as an integer?​

Answers

Answer:

Yes

Step-by-step explanation:

An integer is any whole number.

If this helped I would appreciate it if you marked me Brainliest. thank you and have a nice day!

Can Somone please help me i give you 20 points for the correct answer please help me.

Answers

Yea I need help too someone can you answer my question if ur super duper smart at ALGEBRAAA

i have no idea what this is.

Answers

Answer:

....

Step-by-step explanation:

Rectangle WXYZ will be dilated by a scale factor of 12, creating rectangle W'X'Y'Z'.

What will be the perimeter of rectangle W'X'Y'Z'?


1. 4 Units
2. 6 Units
3. 12 Units
4.24 Units

Answers

3 hope this helps have a good weekend

Answer:

12

Step-by-step explanation:

what is the value the first digit 0.737​

Answers

Answer:

0

Step-by-step explanation:

the value of the units is 0

Jason is throwing a pizza party.He has 4/18 pounds of cheese available and he needs 3/8 pounds of cheese to make a pizza. How many pizzas can he make?

Answers

Step-by-step explanation:

It is given that,

Jason has 4/18 pounds of cheese available and he needs 3/8 pounds of cheese to make a pizza.

Let he can make x pizzas. It can be calculated by dividing 4/18 by 3/8 such that,

[tex]x=\dfrac{4/18}{3/8}\\\\=\dfrac{4}{18}\times \dfrac{8}{3}\\\\=0.592[/tex]

or

x = 0.6

So, he can make 0.6 part of the pizza.

Please help I have no idea what the answer is

Answers

Answer:

x= 35

Step-by-step explanation:

The sum of all the angles in a triangle is 180 degrees.

102+43=145

180-145=35

plz someone help lol....​

Answers

Answer:

J

Step-by-step explanation:

x represents the number of gallons of gas and realistically you can’t have negative gallons

A rectangle with sides 4 in. and 7 in. was enlarged in the ratio 1:2

How did the area of the rectangle change?
a. became 28 sq. inches bigger
b. became 4 times as large
c. became twice as large
d. remained the same as it was before

Answers

Answer:

Step-by-step explanation:

The volume of a rectangular box is given to be 2

3 − 2

2 − 44 + 80.

If the length of the box is given to be x+5, what are the dimensions

of the rectangular base of the milk box? Show the complete

solution.

A. (2 − 3)( − 3)

B. (2 − 8)( − 2)

C. (2 + 8)( + 2)

D. ( − 8)( − 2)

The area of a rectangle when the width and the length are enlarged by

1 : 2  the area c. became twice as large

What are the area and perimeter of a rectangle?

The area of a rectangle is the product of its length and width.

The perimeter of a rectangle is the sum of the lengths of all the sides.

We know the area of a rectangle is (length×width).

So, The area of a rectangle with a width of 4 in and length of 7 inch is (4×7) = 28 sq in.

Now, Its width and length are enlarged in the ratio 1 : 2.

∴ The new width is (2×4) = 8 and the new length is (1×7) and it's area is (8×7)

56 sq inches became twice as large.

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can u explain this please I don't understand

-2w-5(-4z+2w)+2z

Answers

Answer:   −12+22

Rearrange terms

−2w−5(−4z+2w)+2z

− 2 − 5 ( 2 − 4 ) + 2

Distribute

−2−10+20+2

Combine like terms

-2w -10

-12+20+2

Combine like terms

−12+20+2

−12+22

hope this helps!

Please Helpppp
What is the value of v?



45(v−7)=2



Enter your answer as a mixed number in simplest form in the box.

v =

Answers

Answer:

The solution is: v = [tex]9\frac{1}{2}[/tex]

Step-by-step explanation:

Given equation is:

[tex]\frac{4}{5}(v-7) = 2[/tex]

The given equation is a linear equation in one variable. The solution requires isolating v on one side of the equation. Simple equality properties can be used to solve the equation.

So,

Multiplying both sides of equation with 5

[tex]5*\frac{4}{5}(v-7) =5* 2\\{4}(v-7) = 10[/tex]

dividing both sides by 4

[tex]\frac{4(v-7)}{4} = \frac{10}{4}\\v-7 = \frac{5}{2}\\[/tex]

Adding 7 on both sides

[tex]v-7+7 = \frac{5}{2}+7\\v = \frac{5+14}{2}\\v = \frac{19}{2}\\v = 9\frac{1}{2}[/tex]

Hence,

The solution is: v = [tex]9\frac{1}{2}[/tex]

(02.04 HC)

A random sample of online makeup tutorial videos and sales of makeup was measured, and the computer output for regression was obtained:


Coefficients Standard Error t Stat P-value

Intercept −7.567857143 0.426240686 −17.7549 1.04E-05

Makeup Tutorial Videos 0.917857143 0.028166777 32.58652 5.11E-07


R-sq. = 99.53% R-sq. (adj) = 99.44%


Part A: Use the computer output to determine the LSRL. Identify all the variables used in the equation. (3 points)

Part B: What proportion of the variation in makeup sales is explained by its linear relationship to makeup tutorial videos? Explain. (4 points)

Part C: Determine if increased makeup sales were caused by online makeup tutorial videos. Explain your reasoning. (3 points)

Answers

Answer:

Explained below.

Step-by-step explanation:

A.

The least square regression line is:

[tex]\hat y=-7.567857143+0.917857143\cdot x\\\\\approx \\\\\hat y=-7.568+0.918\cdot x[/tex]

Here,

y = estimated sales of makeup

x = number of online makeup tutorial videos

a = -7.568 = intercept

b = 0.918 = slope of the regression line

B.

The coefficient of determination R² specifies the percentage of the variance in the dependent-variable (Y) that is forecasted or explained by linear regression and the forecaster variable (X, also recognized as the independent-variable).

So, the proportion of the variation in makeup sales that can be explained by its linear relationship to makeup tutorial videos is 99.53%.

C.

Consider the LSRL.

The slope of the regression line is positive, i.e. there is a positive relationship between the makeup sales and the online makeup tutorial videos.

So, with one unit increase in the online makeup tutorial videos the makeup sales goes up by 0.918 units.

Thus, it can be said that the increased makeup sales were caused by online makeup tutorial videos.

I want to answer questions

Answers

Answer:

ok kool, go look for sum

Step-by-step explanation:

Answer:

for math? but can you do geography???

Step-by-step explanation:

if you do can help me with the questions i just posted like 30 minutes ago??

-3x - 5y = -15
-3 - 3y = -3

Answers

Answer:

1) x = -y + 5

  y = - 3/5x + 3

2) y = 0

Step-by-step explanation:

143 is divided in to 2:3:6
Calculate the smallest share

Answers

Answer:

26

Step-by-step explanation:

2+3+6=11

143/11*2=26

Answer:

26

Step-by-step explanation:

13 each

26 for 2

39 for 3

78 for 6

all together equals

143 for 11 or 2:3:6

which two values of x are roots of the polynomial below 4x^2-6x+1

Answers

Step-by-step explanation:

Just apply the quadratic formula [tex]x=\frac{-b \left \ {{+} \atop {-}} \right. \sqrt{b^{2}-4ac} }{2a}[/tex] Your equation is [tex]4x^2-6x+1[/tex] Every quadratic equation follows the general form [tex]ax^2+bx+c[/tex] In this case [tex]a=4,b=-6,c=1[/tex] Substitute into the quadratic formula:[tex]x=\frac{-(-6) \left \ {{+} \atop {-}} \right. \sqrt{(-6)^{2}-4(4)(1)} }{2(4)}\\x=\frac{6 \left \ {{+} \atop {-}} \right. \sqrt{36-16} }{8}\\x=\frac{6 \left \ {{+} \atop {-}} \right. \sqrt{20} }{8}[/tex] Now take note that the square root of any number gives a (+) and (-) result, so two different answers[tex]x=\frac{6 + \sqrt{20} }{8} ,and\\x=\frac{6 - \sqrt{20} }{8}[/tex] are the answers

In Brock’s class of 25 students, 15 students report that math is their favorite class and 40% of the students report that science is their favorite class. Show your work to explain how to determine whether more students prefer math or science.
PLEASE I NEED help ASAP DUE in 10 minutes!!!!! PLEASE PLEASE

Answers

Answer:

Most students prefer math

Step-by-step explanation:

PLEASE HELP NOW ASAP Peyton is collecting data on the lunch habits of students at Nicholas Orem Middle School. In one class, 14 students bring lunch from home, and 20 buy a school lunch. Nicholas Orem Middle School has 1700 students. From the data collected, how many students would Peyton predict would buy a school lunch? *

Answers

Answer:

1000 students buy a lunch

Step-by-step explanation:

14 bring lunch

20 buy lunch

There are 34 kids in the sample class (14 + 20)

14/34 = .412 = 41.2%

There are 1700 students.

14 / 34  = x / 1700 cross multiply

14 (1700) = 34x

23,800 = 34x   Divide each side by 34

23800/34 = 34x/34

23800/34 = x

700 = x

So 700 students bring a lunch.

1700 - 700 = 1000

1000 students buy a lunch.

Fredy and his friends went to a basketball game. Fredy decided to buy refreshments for everyone. He bought hot dogs, which cost $5
each and sodas, which cost $2 each. He spent a total of $33. Which algebraic equation could be used to represent the number of hot dogs, h, and the number of sodas, s, that Fredy had bought?


A. 2h+5s = 33
B. 7(h+5)= 33
C. 5h+ 25 = 33
D. h+s=33

Answers

Answer:

C

Step-by-step explanation:

Help me with this please D:

Answers

answer

angle 1=angle 2 1. given

2. p is parallel to q 2. given

3. 3.

4. q is perpendicular to a 4.

Step-by-step explanation:

I don't know number three but also where is a because I can't see it. Then I think I can fill in the rest.

what is the recursive formula for this sequence 14, 18, 22, 26, 30

Answers

Answer:

D

Step-by-step explanation:

I had this question on a quiz :)

PLEASE I NEED HELP ASAP I WILL GIVE POINTS TO EVERYONE WHO GIME VE THE RIGHT ANSWER

Answers

I attached you in the image the answer. The blue corresponds to the first exercise and the red one to the second. Good luck! And I hope it helped you!

which equation has a constant proportaionnality equal to 9
a:y=81/3x
b:y=9x
c:y=3x
d:y=1/9x

Answers

Answer:

the answer is b y=9x is the consran proportionality.

yx=9

I think that’s is the answer

A screen printer can pack up to 24 sweatshirts into a box for shipping.

In which inequality does n represent the minimum number of boxes needed to ship 360 sweatshirts to a customer?

Answers

Answer: 15

Step-by-step explanation:

360 is the amount of sweats you need to ship to a costumer. One box has 24 shirts. This gives you the equation: 360 ÷ 24 = 15.

N is 15

The inequality is 24n ≥ 360.

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

A screen printer can pack up to 24 sweatshirts into a box for shipping.

Sweatshirts needed to be packed = 360.

let n represent the minimum number of boxes needed.

Then, the inequality is 24n ≥ 360.

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3a + 10 − 4q + 7a − 4q − 6.

Answers

Answer:

Step-by-step explanation:

3a+10-4q+7a-4q-6  combine terms

10a-8q+4

Answer:

10a - 8q + 4

General Formulas and Concepts:

Alg I

Combining like terms

Step-by-step explanation:

Step 1: Define expression

3a + 10 - 4q + 7a - 4q - 6

Step 2: Simplify

Combine like terms (a):               10a + 10 - 4q - 4q - 6Combine like terms (q):               10a - 8q + 10 - 6Combine like terms:                    10a - 8q + 4

please helpppp!!! im confused lol

Answers

Answer:

5

Step-by-step explanation:

Answer:

It is 4

Step-by-step explanation:

4 will always be the same it is the independent variable. The values of 5x2 and 7x are the dependent variables meaning that those values will change depending on the values of x

Given g(x) = ln x, is it true that if u>0 and v>0 g(u) = 2g(v), then u=v?
Justify your answer.

Will give brainliest answer

Answers

Answer:

False

Step-by-step explanation:

Giveng(x) = ln xTo findg(u) = 2g(v)Solutiong(u) = ln u2g(v) = 2ln v

Comparing

g(u) = 2 g(v)ln u = 2ln vln u = ln v²u = v²

This is not same as u = v, so the answer is false

Answer:

41

Step-by-step explanation:

2021 eng

Can you guys help pls

Answers

Answer:

72 cm is the correct one

Answer:

It's c 42 cm

Step-by-step explanation:

Found answer on google

Also can u pls mark me brainliest bc im new

An ice sculpture is melting from the heat. Assuming its height changes by meters every hour, what will be the change in height after 4 hours?
Question 14 options:

1)

meters

2)

meters

3)

meters

4)

meters

Answers

Answer:

number of meters per hour x 4 hours = the height after 4 hours

Step-by-step explanation:

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