pls answer! Dylan spots an airplane on radar that is currently approaching in a straight line, and
that will fly directly overhead. The plane maintains a constant altitude of 6400 feet.
Dylan initially measures an angle of elevation of 16° to the plane at point A. At some
later time, he measures an angle of elevation of 36° to the plane at point B. Find the
distance the plane traveled from point A to point B. Round your answer to the
nearest foot if necessary.
Answers
Answer:
13510 ft
Step-by-step explanation:
I have attached a triangle diagram to depict this situation.
From the diagram, we see that distance between A and B is denoted by x.
Now, from trigonometric ratios in this type of triangle, let's first find y.
6400/y = tan 36
y = 6400/tan 36
y = 8808.84 ft
Now, we can find x from;
6400/(8808.84 + x) = tan 16
6400/tan 16 = 8808.84 + x
22319.452 = 8808.84 + x
x = 22319.452 - 8808.84
x ≈ 13510 ft
The distance the plane traveled from point A to point B is 13510 ft
Calculation of the distance:Here we assume the distance between A and B should be x.
Now the y value should be
[tex]6400\div y = tan 36\\\\y = 6400\div tan 36[/tex]
y = 8808.84 ft
Now, we can find x
[tex]6400\div (8808.84 + x) = tan\ 16\\\\6400\div tan\ 16 = 8808.84 + x[/tex]
22319.452 = 8808.84 + x
x = 22319.452 - 8808.84
x ≈ 13510 ft
Learn more about distance here: https://brainly.com/question/785292
Related Questions
Select all the possible names for the following angle
Answers
Answer:
The answers are options d and e
if (-1,4) and (3,-2) are end points of diameter of the circle, then the equation of the circle is
Answers
Answer:
If you've more doubts you can ask :)
Step-by-step explanation:
If the centre of a circle is (a, b) and radius r, then the equation of the circle is :
[tex](x - x)^2 + (y-b)^2 = r^2[/tex]
First we will find the centre, (a , b):
[tex]a = \frac{3+(-1)}{2} = \frac{2}{2} = 1\\\\b = \frac{-2 + 4}{2} = \frac{2}{2} = 1[/tex]
Find radius:
[tex]Radius, r = \frac{Diameter}{2}[/tex]
Diameter is the distance between (-1, 4) and (3, -2)
[tex]diameter = \sqrt{(x_2 - x_1)^2 +(y_2-y_1)^2} \\\\[/tex]
[tex]= \sqrt{(3-(-1)^2 + (-2-4)^2} \\\\=\sqrt{16 + 36}\\\\=\sqrt{52}\\\\=\sqrt{4 \times 13}\\\\=2\sqrt{13} \ units[/tex]
Therefore , [tex]r = \frac{2 \times \sqrt{13} }{2} = \sqrt{13} \ units[/tex]
Equation of the circle is :
[tex](x - 1)^2 +(y-1)^2 = 13[/tex]
See the image for question :)
Answers
Answer:
it is simple just compare the ratios simple as that
but I will need to know all the formula s
Factor over the complex numbers, if possible: x² + 2xyi - y2
What is the answer?
Answers
9514 1404 393
Answer:
(x +yi)²
Step-by-step explanation:
Comparing the given expression to the square of a binomial, we can determine the given expression to be a square.
(a +b)² = a² +2ab +b²
Here, we have a=x and b=yi. Then the factorization is ...
x² +2xyi +(yi)² = (x +yi)²
Only answer if you're very good at Math.
Given f (x) = x + 1 and g(x) = x^2, what is
( g o f) (x)?
A: ( g o f) (x) = x^2 + 1
B: ( g o f) (x) = (x + 1)^2
C: ( g o f) (x) = x ^ 2 + x + 1
D: ( g o f) (x) = x^2 (x + 1)
Answers
Answer:
Solution given:
f(x) = x +1 and g(x) = x²,
now
(gºf)(x) =g(fx)=g(x+1)=(x+1)²
B) (gºf)(x) = (x + 1)^2
Wll mark Brainlest helllppoooooo
Answers
Answer:
Step-by-step explanation:
f(x) = (2x^2 + 1)
( f(3 + h) - f(3) ) / h
f(3 + h) = 2(3 + h)^2 + 1)
f(3 + h) = 2(9 + 6h + h^2) + 1
f(3 + h) = 18 + 12h + 2h^2 + 1
f(3 + h) = 19 + 12h +2h^2
f(3) = 2*(3^2) + 1
f(3) = 2(9) + 1
f(3) = 19
f(3 + h) - f(3) = 2h + 2h^2 The 19s cancel out
f(3 + h) - f(3) = 2h(1 + h^2)
( f(3 + h) + f(3) ) / h = 2h ( 1 + h^2) / h = 2 ( 1 + h^2)
Answer:
Step-by-step explanation:
cos90degrees cos30 degrees + sec-squared45degrees sin30degrees - cos270degrees sin180degrees
Answers
Step-by-step explanation:
[tex]\cos 90 \cos 30 + \sec^2 45 \sin 30 - \cos 270 \sin 180[/tex]
But we know that
[tex]\cos 90 = \cos 270 = \sin 180 = 0[/tex]
and
[tex]\sin 30 = \dfrac{\sqrt{3}}{2} \:\:\text{and}\:\: \sec 45 = \sqrt{2}[/tex]
so this leaves us with just
[tex]\sec^2 45 \sin 30 = (\sqrt{2})^2 \left(\dfrac{\sqrt{3}}{2} \right)= \sqrt{3}[/tex]
Can someone help me?
Answers
Answer:
y = 250x + 1000
Step-by-step explanation:
we know, it is a linear function.
so, y = ax + c
we have multiple data points all on the line.
(4,2000)
2000 = a×4 + c, => c = 2000 - a×4
(7,2750)
2750 = a×7 + c
=> 2750 = a×7 + 2000 - a×4 = a×3 + 2000
=> 750 = a×3
=> a = 250
=> c = 2000 - 250×4 = 2000-1000 = 1000
please help !!! urgent ☹️
Answers
Answer:
20/8
=2.5
14×2.5=35
[tex] \frac{20}{8} = \frac{x}{14} \\ x = \frac{20 \times 14}{8} \\ x = \frac{280}{8} \\ x = 35[/tex]
What’s the function of f(x)=-2/3x -7 ?
Answers
Answer:
F(x) = -1/3 x^2 - 7x + C
Find the surface area of the figure.
Answers
Answer:
The surface area of the figure is 452.2m2 (A)
Consider the sequence:
1000,-500,250,-125
What is the 7th number in the sequence? Write your answer as a fraction
Answers
Answer:
The 7th number in the sequence is [tex]\frac{125}{8}[/tex]
Step-by-step explanation:
Geometric sequence:
In a geometric sequence, the quotient between consecutive terms is always the same, called common ratio.
The nth term of a geometric sequence is given by:
[tex]A_n = A(0)r^{n-1}[/tex]
In which A(0) is the first term and r is the common ratio.
1000,-500,250,-125
This means that [tex]A(0) = 1000, r = -\frac{500}{1000} = -\frac{1}{2}[/tex]
So
[tex]A_n = A(0)r^{n-1}[/tex]
[tex]A_n = 1000(-\frac{1}{2})^{n-1}[/tex]
What is the 7th number in the sequence?
This is [tex]A_7[/tex]. So
[tex]A_7 = 1000(-\frac{1}{2})^{7-1} = \frac{1000}{64} = \frac{125}{8}[/tex]
The 7th number in the sequence is [tex]\frac{125}{8}[/tex]
Here are Barry Bonds's home-run totals, mostly for the San Francisco Giants,
during the years 1991 - 2005:
25, 34, 46, 37, 33, 42, 40, 37, 34, 49, 73, 46, 45, 45, 5
There are two outliers at opposite ends of this distribution: his 5 home runs in
2005 and his 73 home runs in 2001. Which of the following is a modified box
plot for this distribution?
A.
B.
C..
E.
Answers
The modified boxplot created for the distribution is boxplot E
Given the values :
25, 34, 46, 37, 33, 42, 40, 37, 34, 49, 73, 46, 45, 45, 5
The outliers in the values are : 5 and 73
Hence, the modified values are :
25, 34, 46, 37, 33, 42, 40, 37, 34, 49 , 46, 45, 45
Using a boxplot maker or excel, we could use the modified data to create a boxplot with the following properties as obtained from the boxplot shown below :
Median value = 40
Minimum = 25
Maximum = 49
First quartile = 34
Third quartile = 45.5
The modified boxplot has no outlier and it corresponds with the boxplot in option E
Learn more : https://brainly.com/question/1523909
Answer:
graph C
Step-by-step explanation:
find the perfect square
-6x=3x^2+9
Answers
Answer:
[tex] - 6x = 3 {x}^{2} + 9 \\ 3 {x}^{2} + 6x + 9 = 0 \\ {x}^{2} + 2x + 3 = 0 \\ so \\ ether \: x = - 2 \\ or \: x = 1 [/tex]
Wanda listed these facts about parallelograms.
Opposite angles are equal to each other.
Adjacent sides may have different lengths.
There are exactly two sets of parallel sides.
Both pairs of opposite sides have the same length.
Which One is correct
Answers
Answer:
there are exactly two sets of parallel sides
Let’s Say I Left The House At 11:32 And Then I Came Back At 1:42, How Many Hours Have I Been Gone.
Example: 1hours and 20min
Just an example not the answer ^
Answers
i think the correct answer is 2 hours and 10 mins
3. It refers to the number of values an interval may contain
a. class interval
c. frequency
b. class width
d. range
Answers
Answer:
An interval scale is one where there is order and the difference between two values is meaningful. Examples of interval variables include: temperature (Farenheit), temperature (Celcius), pH, SAT score (200-800), credit score (300-850).
Step-by-step explanation:
thank me later
explanation please will give brainliest.
Answers
Answer:
[tex]AC = 28[/tex]
Step-by-step explanation:
Given
[tex]AB = 16[/tex]
[tex]BC = 12[/tex]
Required
Determine AC
Since A, B and C are collinear, then:
[tex]AC = AB + BC[/tex]
So, we have:
[tex]AC = 16 + 12[/tex]
[tex]AC = 28[/tex]
please help this is due today! geometry
Find the distance between the points (4.3) and (0, 3).
Answers
Answer is 4 units
Explanation:
See the image as mathematical signs can’t be written here
NEED HELP ASAP!!
the surface area of a sphere is S(x)=4pix^2, where x is the length of the radius of the sphere. restrict the domain to create a one-to-one function. find and describe the inverse function. {ANSWERS ARE PICTURED}
Answers
Answer:
the last answer
Step-by-step explanation:
S(x) = 4pix^2
replace S(x) with y => y = 4pix^2
switch x and y variables => x=4piy^2
solve for y
divide both sides by 4pi => x/(4pi) = y^2take the square root of both sides => 1/(2(pi))(sqrtpi) = yThat eliminates the first 2 answers because S^-1(x) is incorrect, which leaves the last two answers.
The 3rd answer is wrong because the answer says that the input of the inverse function is length of the radius, but that was the inverse of the original function, not the inverse function. For inverse functions, the input of the original function (in this case, length of radius) becomes the output and the output of the original function (in this case, surface area of the sphere) becomes the input of the inverse function.Simplify − { − ( + ) − ÷ }
Answers
Answer:
- (- (+) - ÷ )
+) (-) (+) (-)
= (+) (-)
answer 2 and 3. Look at the image
Answers
And for c the larger denominator will make the fraction less than one with a smaller denominator
Answer:
answers below. Let me know if anything didn't make sense. You definitely need to make sure you understand so you can put it into your own words.
Step-by-step explanation:
2a: The fraction bar for 4/5 would be more full. if you cannot picture ityou may just have to draw it. use a ruler and draw two equal length "bars" then divide one into fifths and the other into sevenths, then fill in the appropriate amount.
2b: 4/5 > 4/7
2c: The idea is that as the denominator gets larger, those 4 pieces take up less and less space. Try thinking what happens with 4/1, 4/2, 4/3, 4/4, 4/5, 4/6 and 4/7 It ight be easier to envision something like 1/2 and 1/4. Two 1/4s would make 1/2, so 1/4 is less than 1/2.
3a: You could try thinking in percents or decimals. 1/2 is obviously 50% then 4/7 is 4 times 1/7, and 1/7 is about 14%, so 14*4= 56%. Or you could compare more directly like saying 1/2 is 50% and 3.5/7 would be 50%, so 4/7 is bigger. There are a lot of ways to think about it.
3b: the easyness is shown in my second idea in 3a. it's super easy to cut a number in half. it will either be a whole number or a number with .5 at the end. then you can tell if your other fraction is bigger or smaller than 1/2
Easy question please help
Answers
Answer:
[tex]y = 3x - 2[/tex]
Step-by-step explanation:
Required
The equation of the above linear function
From the table, we have:
[tex](x_1,y_1) = (1,1)[/tex]
[tex](x_2,y_2) = (2,4)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
[tex]m = \frac{4 -1}{2 -1}[/tex]
[tex]m = \frac{3}{1}[/tex]
[tex]m =3[/tex]
The equation is:
[tex]y = m(x - x_1) + y_1[/tex]
So, we have:
[tex]y = 3(x - 1) + 1[/tex]
[tex]y = 3x - 3 + 1[/tex]
[tex]y = 3x - 2[/tex]
dul Tunction is shown on the graph below.
A
What are the domain and range for the quadratic function shown on the graph?
A Range: All real numbers less than or equal to 7
B Range: All real numbers greater than or equal to 6 and less than or equal to 7
C Range: All real numbers
D Range: All real numbers less than 7
Answers
Answer:
Step-by-step explanation:
A
The model below represents the sum of two mixed numbers.
Write an equation that shows the sum represented by the model.
Show your work.
Answers
Answer:
hey I am not sure about the answer but I guess this is the right answer:
(x+3)+x
it says 10^-4
please help give brainliest
Answers
Answer:
jane is correct
Step-by-step explanation:
10⁻⁴ can be written as [tex]\frac{1}{10000}[/tex] and as 0.0001
Can y’all help me on question 3?!
Answers
9514 1404 393
Answer:
60 gallons
Step-by-step explanation:
The area of the trapezoid-shaped wall is given by ...
A = 1/2(b1 +b2)h
where b1 and b2 are the lengths of the parallel sides, and h is the perpendicular distance between them.
The area of the wall is ...
A = (1/2)(5 ft + 15 ft)(6 ft) = 60 ft²
If it takes 1 gallon to cover 1 square foot, then it will take 60 gallons to cover 60 square feet.
Isha needs 60 gallons of paint.
Answer:
Isha needs 60 gallons of paints to the wall.
Step-by-step explanation:
The area of trapezoid shaped like wall is given by :-
Area of trapezoid = 1/2 × ( Base ¹ + Base ² ) × H
Where,
B ¹ and B ² are the length of bases and H is the perpendicular distance between them.
Area of wall = 1/2 × ( Base¹ + Base²) × Height
Where, according to question we have
Base ¹ = 5 t Base ² = 15 ftAnd , Height = 6 ftsubstitute the values
Area = 1/2 × ( 5 ft + 15 ft ) × 6 ft
add the values of Base¹ and Base ²
Area = 1/2 × 20 ft × 6 ft
multiply
Area = 1 / 2 × 120 ft ²
divide
Area = 120 ft ² / 2 = 60 ft ²
It takes 1 gallon to cover 1 ft ². ... ( given)
So, For covering 60 ft ² it takes 60 gallons .
check
( 1 × 60 ) gallon = 60 ft ²
60 gallon = 60 ft²
Please help ASAP !! Will mark brainless to whoever gets it right
Answers
Answer:
should be 74 degrees,,,
Answer:
74
Step-by-step explanation:
Since angle 74 equals x
how to set this up to solve
Answers
Answer:
use the arthmetic mean
Step-by-step explanation:
Find the vertices and foci of the hyperbola with equation
(x + 2)^2/144 - (y-4)^2/81 =1
Answers
Answer:
Here is your answer:
Step-by-step explanation: