Hans is sitting in a movie theater, 19 meters from the screen. The angle of elevation from his line of sight to the top of the screen is 15°, and the angle of depression from his line of sight to the bottom of the screen is 22°. Find the height of the entire screen. Do not round any intermediate computations. Round your answer to the nearest tenth.
Answers
Answer:
12.8 m
Step-by-step explanation:
From the diagram :
Height PR = 19m
Using Pythagoras :
From triangle PQR:
QR = x
Tan θ = opposite / Adjacent
Tan 22° = x / 19
x = tan 22° * 19
x = 0.4040262 * 19
x = 7.6764982 m
From triangle PRS:
SR = y
Tan θ = opposite / Adjacent
Tan 15° = y / 19
y = tan 15° * 19
y = 0.2679491 * 19
y = 5.0910346
Height of entire screen :
(7.6764982 + 5.0910346) m
= 12.7675328 m
= 12.8 m
Related Questions
Suppose sin(x) = -3/5 and cos(x) < 0. What the value of cos(2x)?
A) -16/25
B) -7/25
C) 7/25
D) 16/25
Answers
Answer:
The value of cos(2x) = 7/25
Hence, option C is true.
Step-by-step explanation:
Using the trigonometric identity
cos 2x = 1 - 2sin²x
Given
sin(x) = -3/5cos(x) < 0so substituting the values
cos 2x = 1 - 2sin²x
= 1 - 2 (-3/5)²
= 1 - 2 (9/25)
= 1 - 18/25
= 7/25
Therefore,
The value of cos(2x) = 7/25
Hence, option C is true.
Answer:it’s C
Step-by-step explanation:
I just took it
Harper is a salesperson who sells computers at an electronics store. She makes a base pay amount of $100 per day regardless of sales and she earns a commission of 1% of the dollar amount of all sales that she makes. Write an equation for P,P, in terms of x,x, representing Harper's total pay on a day on which she sells xx dollars worth of computers.
Answers
Given:
Base pay = $100 per day
Commission = 1% of the dollar amount of all sales that she makes
To find:
The equation representing Harper's total pay on a day.
Solution:
Let P be the Harper's total pay on a day if she sells x dollars worth of computers.
Commission on x dollars sales = 1% of x = 0.01x
Total pay = Base pay + Commission
[tex]P=100+0.01x[/tex]
Therefore, the required equation is [tex]P=100+0.01x[/tex].
f(x)=2x^3+3 g(x)= x-4
what is the value of g(f(x))?
A. 2x^3-1
B. 2x^4-4x^3+3x-12
C. 2x^3-24x^2-32x-61
D. 2x^3+3x-4
Answers
Answer: A
Step-by-step explanation:
Use a coordinate proof to prove that mid segment MN of triangle PQR is parallel to PR and half the length of PR. Which is the best first step?
Answers
Use a coordinate proof to prove that mid segment mn of triangle pqr is parallel to pr and half the length of pr. which is the first best step? a. place the triangle on a coordinate grid such that vertex p is at the origin, and pr lies on x-axis. b. place the triangle on a coordinate grid such that vertex p is on y-axis and vertex r us on the x-axis
Please consider marking brainliest! :)
Place the triangle on a coordinate grid such that QR lies on the x-axis and PQ lies in the y-axis. Therefore, option D is the correct answer.
If we start with Step A, we are unknown about points Q and R and these two points need to be located somewhere.
If we start with step B, we are unknown about point Q and it needs to be located.
If we start with step C, we are unknown about points P and R, and these two points need to be located.
Let us start with step D,
It is given that,
In triangle PQR, QR lies on the x-axis while PQ lies on the y-axis means Q will be at the origin
Coordinates of Q will be (0, 0)
Let us take coordinates of R (4, 0) and P as (0, 4)
Let us take the midpoints of PQ &PR as ‘S’ & ‘T’ respectively.
Now, coordinates of S and T can be found using the Mid-Point formula
Coordinates of mid-point = (x₁+x₂)/2, (y₁+y₂)/2
Coordinates of S= (2, 0)
Coordinates of T= (2, 2)
Here,
We have to prove ST= QR/2 and ST Parallel to QR.
(1) Now, using distance formula,
ST = √([(0-2)²+(2-2)²])
ST = 2 (1/2 ×QR)
(2) Now, in order to prove ST is parallel to QR, we need to prove that the slope of ST is equal to the slope of QR.
Using slope formulae
Slope of ST = (2-2)/(2-0) = 0
Slope of QR = 0, as we know slope of x-axis is 0.
So, the value of ST is half of QR as well as it is parallel to QR.
Therefore, step D is the best option to start with.
To get more about the mid-point theorem refer to the link,
brainly.com/question/9635025
#SPJ7
"Your question is incomplete, probably the complete question/missing part is:"
Use a coordinate proof to prove that mid segment MN of triangle PQR is parallel to PR and half the length of PR. Which is the first best step?
A. Place the triangle on a coordinate grid such that vertex P is at the origin, and PR lies on x-axis.
B. place the triangle on a coordinate grid such that vertex P is on y-axis and vertex R us on the x-axis.
C. Place the triangle on a coordinate grid such that vertex Q is at the origin.
D. Place the triangle on a coordinate grid such that QR lies on the x-axis and PQ lies in the y-axis.
One morning, Muhammad's deli shop sells 15 sandwiches in 10 minutes. If the shop continues to sell sandwiches at the same rate, about how many sandwiches will the shop sell in 3/4 of an hour?
Answers
Answer:
68 sandwiches
Step-by-step explanation:
Given that,
A shop sells 15 sandwiches in 10 minutes.
10 minutes = (10/60) hour = (1/6) hour
In (1/6) hour shop sells 15 sandwiches
In 1 hour = 90 sandwiches
To find, no of sandwiches in 3/4 hours, multiply 3/4 by 90. So,
In 3/4 hour = [tex]90\times \dfrac{3}{4}=67.5[/tex] sandwiches
or
≅ 68 sandwiches
So, 68 sandwiches can be made in 3/4 hour.
I need help on this question
Answers
Answer:
A) - M
Step-by-step explanation:
-5x+10>-15 help please
Answers
Answer:
Step-by-step explanation:
-5x + 10 > -15 is your original equation.
You need to isolate the x variable.
Start by subtracting 10.
-5x > -25
x > 5
The area of a rectangular vegetable patch is 45 square meters. The vegetable patch is 9 meters long. How wide is it?
Answers
45/ 9 = 5 meters
Mrs. Rodriguez wants to pay her restaurant bill which is $24.00. If Mrs. Rodriguez wants to leave a 20% tip on the total, how much should she pay?
$20.35
$26.40
$28.80
$33.60
Answers
Answer:
28.80
Step-by-step explanation:
I took the test on edge 2020
Answer:
28.80
Step-by-step explanation:
I took the test on edge 2020
a pizza cafe sells three sizes of pizzas. if you buy all three sizes it cost 46.24. a medium pizza cost 15.75. and a large pizza cost 17.50. how much does a small pizza cost?
Answers
Answer:
A small pizza cost $12.99
Answer:
The price of a small pizza is 12.99
Step by step explanation:
15.75 + 17.50 + ? = 46.24
15.75 + 17.50 = 33.25
46.24 - 33.25 = 12.99
4) Andre types 208 words in 4 minutes. Noah types 342 words in 6 minutes. Who types faster? *
Answers
Answer:
noah
Step-by-step explanation:
208/4=52
342/6=57
Answer:
Noah types faster.
Step-by-step explanation:
if Andre types 208 words in 4 minutes, then that is 52 words per minute, but if Noah types 342 words in 6 minutes then that is 57 words per minute he types. so therefore, Noah types faster. Hope this helps.
guess the song and get a point and guess the meaning i`m driving home tonight, catching all red lights
That's alright cause I don't want to be alone
There's nobody waitin' there, cold and empty bed
Words I wished Id said come on the radio
Ooh, oh, oh, and I don't know why I do this to myself
Ooh, oh, oh, I know you're with someone else
But in my mind were somewhere in my car
And it's raining hard on the streetlight glow
You got your lips on mine, its gasoline on fire
I never will forget, you grabbed my shirt and pulled it over my head
And your fingertips slide up and down my back
Breathin' hard, steamin' up the glass
I'd give anything if I could bring you back home
Answers
Answer:
Somewhere in my car
Step-by-step explanation:
i know the song and im also just doing this for points so yeah
What is the vertex for the equation y=2x^2+4x
Answers
help me plz what is
Answers
It is 32% I'm pretty sure
Answer:
32%
Your supposed to find the percent of students that are girls. And it says eight out of 25 are girls. Sorry if im wrong! :D
An airplane flew across the Pacific Ocean. The table shows the amount of time and the distance traveled when the airplane was traveling at a constant speed. Complete the table with the missing values.
Answers
Answer:
SEE THE GRAPH
Step-by-step explanation:
6x< 3x+15 please help me on this answer!! I am timeddddd
Answers
Answer:
x=5
Step-by-step explanation:
Put the like terms together(In this case we will transfer the 3x)
6x-3x<15
3x<15
To get the value of x divide 15by 3
x=5
Answer:
x<5
Step-by-step explanation:
ou swim in a 100-meter race. Your best time is 59.48 seconds. You want to swim the race in 51.55 seconds. How much will you need to trim from your best time?
Answers
Answer:
7.93 seconds
Step-by-step explanation:
Subtract!
59.48s - 51.55s = 7.93 seconds
Needs to be trimmed.
Answer:
7.93
Step-by-step explanation:
59.48 minus 51.55 is 7.93
PLEASE ANSWER!! TIME LIMITED!! Use the gfc and the distributive property to find the expression that is equivalent to 36 + 48
A. 6(6+8)
B. 4(9+12)
C. 12(3+4)
D. 2(18+24)
Answers
Explanation: The gfc that can fit into both numbers
Jennifer is buying cupcakes for a party. 12
cupcakes is $8.40. What is the unit rate for
each cupcake?
Answers
Answer:
24
Step-by-step explanation:
Help me solve this problem please
Answers
Answer: (2, -2)
x=2, y=-2
Answer:
(2, -2)
Step-by-step explanation:
4x + y = 6
x - 2y = 6
x = 2y + 6
4(2y + 6) + y = 6
8y + 24 + y = 6
9y + 24 = 6
9y = 6 - 24
9y = -18
y = -18 ÷ 9
y = -2
4x + (-2) = 6
4x - 2 = 6
4x = 6 + 2
4x = 8
x = 8 ÷ 4
x = 2
Confirm:
4x + y = 6
4(2) - 2 = 6
8 - 2 = 6
6 = 6 (Correct)
(2, -2)
What is the coefficient of x in 2/3x
Answers
Answer:
3
Step-by-step explanation:
calculate the. volume. of. a cylindrical steel bar which is 8cm. long and 3.5 cm in diameter
Answers
Answer:
308 cm³
Step-by-step explanation:
volume of cylinder = πr²h
volume = (22/7)*(7/2)*(7/2)*8
volume = 308cm³
Ik I said one more buh I assure u this is the last :p
Answers
5) State the unit rate if a car burns 120 gal ona 2400 mi trip.
PLEASE HELP
Answers
Answer: 1 gallon per 20 miles.
Step-by-step explanation: Take 2400 divided by 120 to find the unit rate.
What kind of symmetry does Equation x^2 + (y+2)^2 = 4 have?(y-axis, x-axis, or origin)
Answers
Answer:
y-axis
Step-by-step explanation:
Since the equation is identical to the original equation, it is symmetric to the y-axis.
–7x + 10 = –20 or 10 = 7x – 20
Answers
Answer:
[tex]x=\frac{30}{7}[/tex]
Step-by-step explanation:
Step 1: Subtract 10 from both sides.
−7x+10 −10= −20 -10
−7x=−30
Step 2: Divide both sides by -7.
−7x /−7 = −30 /−7
x= 30 /7
4. If you saved $2.00 on January 1, $4.00 on February 1, $8.00
on March 1. $16.00 on April 1, and so on. How much money
would you save in one year?
Answers
Answer:
$8190
Step-by-step explanation:
$8190
A website sells sweaters. The amount of sales p(c) varies directly with the number of customers c. Eight customers bought a total of $335 worth of sweaters. Which equation can be used to find the sales for c customers? p(c) = 41.88c p(c) = 4188c p(c) = 41.88c p(c) = 4188c
Answers
Answer: p(c) = 41.88c
Step-by-step explanation:
From the question, we are informed that a website sells sweaters and that the amount of sales p(c) varies directly with the number of customers c.
We are further told that eight customers bought a total of $335 worth of sweaters.
The equation that can be used to find the sales for c customers will be:
= 335/8
Therefore, the answer is p(c) = 41.88c
= 41.88
HELP PLEASE
Which expression is equivalent to (5x^3)(2x)^2 ?
A 10x^6
B 30x^6
C 40x^6
D 1,000x^12
Answers
Answer:
I think B is the answer
hope It helps
What is the answer to this problem?
Answers
Answer: - 4.5
Step-by-step explanation:
if those are degree symbols next to the expressions, then x is -4.5