i am from afghanistan and you all gus
The trigonometric relation is solved and distance of the plane from the runway is D = 18,818.52 feet
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
An airplane is flying 4,000 feet above the ground
A person is standing on the runway looking up at the plane. And the angle of elevation is 12°
So , from the trigonometric relation , we get
tan 12° = 4000 / D
On simplifying , we get
D = 4000 / 0.21255656167
D = 18,818.52 feet
Hence , the distance is D = 18,818.52 feet
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5. Three lines are drawn so that they all intersect at a common point. In the figure below, m41
=
x°, mL2 = 2x°, and m43 = 75°.
Which equations can be used to determine the value of x?
Select all that apply.
A. 3x° = 75°
B. 3x° =
105°
C. 3x° = 255°
D. 3x° + 75° = 180°
E. x° + 2x° + 75° =
180°
F. x° + 2x° + 3x° = 360°
Answer: BDE
Step-by-step explanation:
Because angles 1, 2, and 3 form a straight angle, x+2x+75=180 -> E
Simplifying, we get that 3x+75=180 -> D
Subracing 75 from both sides, we get 3x = 105 -> B
Select all the rectangles that have an area of 15/24 square inches.
Answer:
BDStep-by-step explanation:
Area of a rectangle
Base x HeightRectangle B
3/8 x 5/3 = 15/24 square inchesRectangle D
5/4 x 3/6 = 15/24 square inchesAnswer:
Options B and D
Step-by-step explanation:
Step 1: Determine the area of Option A
[tex]A = l * w[/tex]
[tex]A = (5/8\ in) * (10/3\ in)[/tex]
[tex]A = 50/24\ in^2[/tex]
[tex]A = 25/12\ in^2[/tex]
Step 2: Determine the area of Option B
[tex]A = l * w[/tex]
[tex]A = (5/3\ in) * (3/8\ in)[/tex]
[tex]A = 15/24\ in^2[/tex]
Step 3: Determine the area of Option C
[tex]A = l * w[/tex]
[tex]A = (8/6\ in) * (7/4\ in)[/tex]
[tex]A = 56/24\ in^2[/tex]
[tex]A = 7/3\ in^2[/tex]
Step 4: Determine the are of Option D
[tex]A = l * w[/tex]
[tex]A = (3/6\ in) * (5/4\ in)[/tex]
[tex]A = 15/24\ in^2[/tex]
Step 5: Determine the area of Option E
[tex]A = l * w[/tex]
[tex]A = (5/15\ in) * (3/9\ in)[/tex]
[tex]A = 15/135\ in^2[/tex]
[tex]A = 1/9\ in^2[/tex]
Answer: Options B and D
A TV has a listed price of 515.95 before tax. If the sales tax rate is 9.75%, find the total cost of the TV with sales tax included.
Answer:
566.25
Step-by-step explanation:
515.95×9.75%=50.30
515.95+50.30=566.25
Sharon packed 36 eggs into a carton with 4 rows. How many columns are in the cartons?
3
9
36
12
Answer:
The Answer would be 9
Step-by-step explanation:
I got it right on my test!
When graphing the equation y=-3x+2, a student plotted the y-intercept at 2, then moved down three units and to the left 2 units because the slope is negative, so both rise and run are negative. Find this error and correct it.
Answer:
The error is founded in the slope, specifically in the run.
When seen a negative slope, that only applies to the rise but not the run.
Instead, the student should run 1(not 2) units to the right.
The slope had not mentioned any 2 in the run.
So it would sound like down 3, over 1, starting from 2.
The y intercept at 2 is correct. This is the location (0,2)
The slope is -3 or -3/1, meaning that we move down 3 and to the right 1 unit. Doing so has us go from (0,2) to (1,-1). Plot these two points together on the same xy grid and draw a straight line through the two points.
See below.
If p p and q q vary inversely and p is 17 when q is 4, determine q when p p is equal to 2.
Answer:
[tex]q = 34[/tex] when [tex]p = 2[/tex].
Step-by-step explanation:
Variables [tex]p[/tex] and [tex]q[/tex] ([tex]p \ne 0[/tex], [tex]q \ne 0[/tex]) are inversely proportional to one another if one variable- for example, [tex]p[/tex]- is proportional to the reciprocoal of the other variable- [tex](1/q)[/tex].
In other words, if [tex]p[/tex] and [tex]q[/tex] ([tex]p \ne 0[/tex], [tex]q \ne 0[/tex]) are inversely proportional to one another, there would exist a constant [tex]k[/tex] ([tex]k \ne 0[/tex]) such that:
[tex]\displaystyle p = k\times \left(\frac{1}{q}\right)[/tex].
The value of [tex]k[/tex] is constant and is independent of [tex]p[/tex] and [tex]q[/tex]. Given that [tex]p = 17[/tex] when [tex]q = 4[/tex], rearrange the equation above to find the value of [tex]k\![/tex]:
[tex]k = p\, q = 68[/tex].
Rewrite the equation again to find [tex]q[/tex] in terms of [tex]k[/tex] (which doesn't change) and [tex]p[/tex] (which might change):
[tex]\begin{aligned}q &= \frac{k}{p}\end{aligned}[/tex].
Since [tex]k = 68[/tex], given that [tex]p = 2[/tex], the value of [tex]q[/tex] would be:
[tex]\begin{aligned}q &= \frac{k}{p} \\ &= \frac{68}{2} = 34\end{aligned}[/tex].
Find the equation of the line shown (first one to do it gets brainlist)
Answer:
y = 1/4x + 2
Step-by-step explanation:
We do y = mx + b
slope = rise over run = 1/4
Y-intercept = 2
Equation is y = 1/4x + 2
Answer:
y = -0.25x + 2
Step-by-step explanation:
When x=0, y = 2
When y=0, x = 8
X = 0 – 4 = -4
Y = 2 – 1 = 1
[tex]Slope\:(m)=\frac{y}{x} =\frac{1}{-4} =-0.25[/tex]
WILL MARK BRAINLIEST IF RIGHT
EXTRA POINTS!!! HELP
Answer:
Step-by-step explanation:
For interiors, you can choose <3 and <6
<2 and <7 will go together.
<1 and <5 for corresponding
Doug has a bag full of crayons. There are 6 red crayons, 7 blue ones, and 4 green crayons. Doug wants to color a blue sky. What is the probability that Doug will pull out a red crayon, put it back in the bag, and then get a blue crayon? Write your answer as a simplified fraction
Answer:
[tex]\sf \dfrac{7}{17}[/tex]
Step-by-step explanation:
Given information:
6 red crayons7 blue crayons4 green crayons⇒ total number of crayons = 6 + 7 + 4 = 17
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
[tex]\implies \sf P(red\:crayon) =\dfrac{\textsf{Number of red crayons}}{\textsf{Total number of crayons}}=\dfrac{6}{17}[/tex]
If the red crayon is put back in the bag, the drawing of the red crayon prior to drawing the blue crayon will not affect the probability of drawing a blue crayon.
[tex]\implies \sf P(blue\:crayon)=\dfrac{\textsf{Number of blue crayons}}{\textsf{Total number of crayons}}=\dfrac{7}{17}[/tex]
This weekend, Paul earned $42 selling
handmade drawings. He sold some
posters for $9 each and a drawing for
$15. Which equation represents this
situation?
A 42 = (9 + p) - 15
B 42 = (9+ p) + 15
c 42 = (9 x p) + 15
D 42 = (9 x p) - 15
Answer:
C
Step-by-step explanation:
lol
A 19th-century explorer crossing a desert has run out of water. He has the best chance of surviving if he can find Choose one: A. an oasis. B. a rain shadow. C. a playa. D. an ephemeral stream.
The 19th-century explorer crossing a desert has the best chance of survival if he crossses an oasis.
What is an oasis?An oasis is a patch of fertile land found in a desert. In an oasis, water is usually found there. Also, in an oasis, plants and animals are also found there.
Example of oases are:
Siwa Oasis, EgyptCrescent Moon Lake, Dunhuang, ChinaChebika Oasis, TunisiaHavasu Falls, Grand Canyon, USATo learn more about an oasis, please check: https://brainly.com/question/4068816
Janet was given $500 by her grandmother to spend on invitations for her wedding. Three invitations cost $10 to print.Which equation can be used to represent y, the amount of money Janet has left after purchasing x wedding invitations?
Answer: y = - 3 [tex]\frac{1}{3}[/tex]x + 500
Step-by-step explanation:
First, we will start off with y = since y is the amount of money left to spend.
Next, we see that three invitations cost $10. $10 / 3 = 3 [tex]\frac{1}{3}[/tex]. One invitation will cost $3 [tex]\frac{1}{3}[/tex]
Lastly, we will create our final equation in slope-intercept form:
y = - 3 [tex]\frac{1}{3}[/tex]x + 500
Side Note: We also could write something like y = -10([tex]\frac{x}{3}[/tex]) + 500 if we did not want to change the cost.
Evaluate: -216 + (-6)
Answer:
-222
Step-by-step explanation:
Answer:
-222 cause a negative plus another negative gets you a positive
Step-by-step explanation:
which of the following are possible sode lengths for a triangle? A. 5, 18, 14 B. 9, 15, 4 C. 18, 12, 6
answer: 5, 18, 14.
explanation: i just did it on acellus.
Stu takes a job with a starting salary of $65,000 for the first year. he earns a 2% increase each year. to the nearest dollar, how much does stu make over the first five years? $325,000 $331,500 $338,263 $358,826
Answer:
$338,263
Step-by-step explanation:
first year stays the same, then multiply the years salary x 1.02 for the following years
year 1 = $65000
year 2 = 66300
year 3 = 67626
year 4 = 68978.52
year 5 = 70358.09
total for 5 years = $338262.61
rounded to 338,263.
whats is the answer too the equation 90000x604982?
Please help me on this question 20 points
Answer:
[tex]\left[\begin{array}{cc}10\\24\end{array}\right][/tex]
Step-by-step explanation:
Trial and error lol
x^2-2x-15>0; use -5,0 and 7 to help find the solution
I don't know what is given when I 8th May but if you can please send the answers
Please hurry!! Love ya
Answer:
the answer is c
Step-by-step explanation:
Find the area of the rhombus?
Answer: 84.5cm^2
Step-by-step explanation:
to find the area you need to use d1d2/2. So you plug in the numbers and get 13*13\2 and get 84.5
help me pleaseeeeeeeeee
Answer:
82.799...°
Step-by-step explanation:
First, we have to identify how many votes equals 1°
Therfore we divide 4700 by 360° because there are a total of 4700 votes and there are 360° in a circle.
(4700/360) = 13.055...
1° = approximately 13 votes
Secondly, let's look at how many votes Watkins received.
1081 votes
Lastly, since 1° equals 13.055... votes,
then if we divide the number of total votes Watkins got by 13.055 we will find the value of the central angle for the Watkins slice.
1081 ÷ 13.055... = 82.7999..
a rope 33cm long has a mass of 561 g. what is the mass of 13 cm of this rope.? can some one please help
Step-by-step explanation:
[tex]33cm = 561g[/tex]
[tex]13cm = x[/tex]
[tex] \frac{13}{33} \times 561[/tex]
[tex]221g[/tex]
Answer: 221
Step-by-step explanation:
33cm = 561g
1cm = 561/33 = 17
13cm = 17 × 13
PLEASE ANSWER - BRAINLIEST IF 2 ANSWERS - 5 STAR RATING - THANKS (PROFILE TOO)
The ratio of the width to the height of a
television screen is 16:9.
If the height of the screen is 52 cm, which is
closest to the width?
a 92 cm
b 87 cm
c 59 cm
d 29 cm
----------------
Answer:
1-D
2.D
Step-by-step explanation:
Answer:
d. 256
d. 29 cm
Step-by-step explanation:
[tex]1) \: \: 25 - \sqrt{x} = 9 \\ \\ 25 - 9 = \sqrt{x} \\ \\ 16 = \sqrt{x} \\ \\ {(16)}^{2} = {( \sqrt{x} )}^{2} \\ \\ 256 = x \\ \\ x = 256 \\ \\ 2) \: \: 16x = 52 \\ \\ x = \frac{52}{16} \\ \\ x = 3.25 \\ \\ width = 3.25 \times 9 = 29.25 = 29[/tex]
4 friends evenly divided up an n-slice pizza. One of the friends, Harris, ate 1 fewer slice than he received.
How many slices of pizza did Harris eat?
Answer:
4 friends evenly divided up a n -slice pizza.
So, the number of slices each friend received = n/4
Now, Harrison ate 1 fewer slice than he received. As he received n/4 slices, so 1 fewer than n/4 means......
Harrison ate n/4-1 slices of pizza.
Step-by-step explanation:
PLEASE HELP!! 40 POINTS!!
The perimeter of a rectangular parking lot is 368 m.
If the width of the parking lot is 86 m, what is its length?
Answer:
98
Step-by-step explanation:86+86=172
368-172=196
196/2=98
create a line plot for the given
ages.
43, 40, 46, 40, 48, 50, 44, 44,
42, 41, 45, 42, 46, 44, 40
Answer:
here you go
Step-by-step explanation:
40, 40, 40, 41, 42, 42, 43, 44, 44, 44, 45, 46, 46, 48, 50
What is the correct answer NEED ANSWER ASAP
Answer:
Your answer is
x-int: (3 , 0) , (-3/2 , 0)
y-int: (0 , -9)
Step-by-step explanation:
before his shopping spree, Elmer owned 52 scooters. Then he bought 82 more scooters. what is the ratio of scooters purchased to the resulting total number of scooters.
Answer:
Step-by-step explanation:
82 / (52+82)
82 / 134
41 / 67
Which statement is true about angles 1 and 2?
Angles 1 and 2 are complementary.
Angles 1 and 2 are vertical.
Angles 1 and 2 are supplementary.
Angles 1 and 2 are adjacent.
Answer:
they are complementary
Step-by-step explanation:
complementary means adding up to 90° and it's true Abt the two angles