An aeroplane travels on a bearing of 295o so that it is 200 km west of its starting point. How far has it travelled on this bearing?
please use diagrams to explain
Answers
The more accurate value is roughly 220.675583792499 km but even that isn't an exact value.
===============================================
Explanation:
Refer to the diagram below.
The plane starts at point A, which is the origin (0,0)
Directly north is the bearing 0 degrees, which it sometimes written as triple zeros and a degree symbol at the end, so we'd write 000° to mean directly north.
Let's say we face directly north. When turning clockwise (turn toward the east), the bearing angle increases. That means directly east is the bearing 090° and 180° is directly south.
The bearing 270° is directly west. Another 25 degrees gets us to 270+25 = 295°
This plane is facing the northwest direction, as the diagram indicates below (the plane is aimed at point C while it's located at point A initially).
------------
Triangle ABC has the horizontal component AB = 200 km, since we're told that the plane is 200 km west of its starting point (and some unknown distance north of the starting point).
We use the cosine ratio to help determine the hypotenuse length AC
cos(angle) = adjacent/hypotenuse
cos(A) = AB/AC
cos(25) = 200/x
x*cos(25) = 200
x = 200/cos(25)
x = 220.675583792499 which is approximate.
x = 221
I'm rounding to the nearest whole number since every other value given to you is a whole number. Round as your teacher instructs.
This means the plane is roughly 221 km away from its starting point. In other words, side AC is about 221 km long.
Related Questions
what is the constant of proportionality in the equations 3y=2X?
Answers
Answer:
the coefficient of x is 2/3 which is the constant.
3x^2 + 14x
how do you factories this
Answers
Answer:
x(3x+14)
Step-by-step explanation:
what do those terms share? they share the letter "x"
therefore we multiply x by 3x^2/x + 14x/x
3x^2/x = 3x and 14x/x = 14
2. Which equation represents a line that is perpendicular to the line
represented by y = 2/3 + 1
Answers
Which of the relations below is a function? *
2 points
{(2, 3), (3, 4), (5, 1), (2, 4)}
{(2, 3), (3, 4), (6, 2), (7, 3)}
{(2, 3), ( 3, 4), (6, 2), (3, 3)}
{(2, 4), ( 3, 4), (6, 3), (3, 3)}
Answers
Answer:
{(2, 3), (3, 4), (6, 2), (7, 3)}
Step-by-step explanation:
{(2, 3), (3, 4), (6, 2), (7, 3)}
this solution has different domain values : 2, 3, 6, 7
part ion even know of the hardest test
Answers
Given:
The equation of a line is:
[tex]y=-\dfrac{5}{7}x+2[/tex]
A line passes through the point (-5,-3) and perpendicular to the given line.
To find:
The equation of the line.
Solution:
Slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept.
We have,
[tex]y=-\dfrac{5}{7}x+2[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=-\dfrac{5}{7}[/tex]
We know that the product of slopes of two perpendicular lines is always -1.
[tex]m_1\times m_2=-1[/tex]
[tex]-\dfrac{5}{7}\times m_2=-1[/tex]
[tex]m_2=\dfrac{7}{5}[/tex]
Slope of the required line is [tex]\dfrac{7}{5}[/tex] and it passes through the point (-5,-3). So, the equation of the line is:
[tex]y-y_1=m_2(x-x_1)[/tex]
[tex]y-(-3)=\dfrac{7}{5}(x-(-5))[/tex]
[tex]y+3=\dfrac{7}{5}(x+5)[/tex]
Using distributive property, we get
[tex]y+3=\dfrac{7}{5}(x)+\dfrac{7}{5}(5)[/tex]
[tex]y+3=\dfrac{7}{5}x+7[/tex]
[tex]y=\dfrac{7}{5}x+7-3[/tex]
[tex]y=\dfrac{7}{5}x+4[/tex]
Therefore, the equation of the line is [tex]y=\dfrac{7}{5}x+4[/tex]. Hence, option A is correct.
How many of the following numbers are factors of 34 or multiples of 7? 1, 2, 3, 4, 8, 14, 17, 29, 56, 91
Answers
Answer:
6
Step-by-step explanation:
So here are the numbers that are factors of 34 and multiples of 7
1,2,14,17,56,91
So count the numbers, 6. And that's ur answer, believe me
you & three friends go to the twin carnival. you have a coupon for $20 off that will save your group money! if the total bill to get into the carnival was 100$ how much does one regular price ticket cost?
Answers
Answer:
$30
Step-by-step explanation:
100+ the twenty you got off is 120 and dvide 120/4=30 I am either making this way to easy or just dont understand lol
Help with this question
Answers
Answer:
Step-by-step explanation:
First find the first radius
c=88cm
=2*22/7*r=88cm
=r=14cm
22/7 (pie as common)(R1^2+R2^2=637cm)
14^2+R2^2=637cm
196+R2^2=637cm
R2^2=637-196=441
R2=√441
R2=21
first radius =14cm
second radius =21cm
What is infinity + infinity??
Answers
Answer:
Although this makes for a lot of potential fun with formulas, mind experiments and arguments, the answer is plain.
Infinity is already everything so there is no more to it, infinity plus infinity would be still just infinity, which is btw infinite.
Answer:
infinity + infinity = infinity
Step-by-step explanation:
Mark brainliest please :)
If the area of a circle is 36 pi, what is it's circumference?
Answers
Answer:
C = 12π or 37.7
Step-by-step explanation:
A = πr²
36π = πr²
π's get divided out and you are left with:
r² = 36
if you take the square root of 'r' it will equal the square root of 36, which is 6
C = 2πr
C = 2π(6)
C = 12π or 37.7
Answer
the answer is 12*sqrt pi
The seventh grade wants to break last year's record of 78 coats collected for the annual clothing drive. They have already collected 13 coats.
Which number line represents the graph of the solution to the inequality that represents the number of coats, c, that the seventh grade must still collect?
Answers
Answer:
The last number line or D.
Step-by-step explanation:
To find the remaining coats to be collected, subtract the coats that are collected from the total of coats needed.
So:
78 - 13= 65
They must collect a total of 65 and more to break the last year's record of 78 coats. Number line D, represents the solution of this inequality.
Hope this helps! Have a nice dayy! :)
Which of the following describes the parabola with the equation y = −x2 − 3x + 6?
A) The axis of symmetry is x = 1.5 and the vertex is (1.5, 12.75).
B) The axis of symmetry is x = −1 and the vertex is (−1, −3).
C) The axis of symmetry is x = −1.5 and the vertex is (−1.5, 8.25).
D) The axis of symmetry is x = 0 and the vertex is (0, 6).
Answers
Answer:
C) The axis of symmetry is x = −1.5 and the vertex is (−1.5, 8.25).
Step-by-step explanation:
The axis of symmetry is x = − b/2a
= -(-3) / 2(-1)
= 3/(-2)
= -1.5
the vertex => x = -1.5
y= -(-1.5)²-3(-1.5)+6 =
-2.25 +4.5+6= 8.25
Una empresa fabrica protectores faciales, según los estudios de mercado que se han hecho, se ha de vender a S/.9 la unidad. La empresa tiene unos gastos fijos mensuales de local y personal de S/.9000, y además, fabricar cada unidad protector facial cuesta S/. 3. ¿Cuántas unidades ha de vender mensualmente si no quiere tener pérdidas?
Answers
Answer:
The number of units sell is 2.
Step-by-step explanation:
selling cost of one unit = $ 0.9
Monthly expense = $ 0.9
Manufacturing cost = $ 0.3
Let the number of unit sell is x.
So,
0.9 x = 0.9 + 0.3 x
0.6 x = 0.9
x = 1.5
So, the number of units sell to get no loss is 2.
If 5 + 2 root 3 / 7 + 4 root 3 = a - b root 3, find a and b.
Answers
Answer:
lhs = (5+2√3)/(7+4√3)
= [(5+2√3)(7-4√3)]/[(7-4√3)(7+4√3)]
=[35-20√3+14√3-24]/[7²-(4√3)²]
=[11-6√3]/[49-48]
=11-6√3
therefore
11-6√3 = a+b√3
compare both sides
a= 11, b= -6
Step-by-step explanation:
Hope this answer helps you :)
Have a great day
Mark brainliest
Answer:
a = 11, b = 6
Step-by-step explanation:
Given
[tex]\frac{5+2\sqrt{3} }{7+4\sqrt{3} }[/tex]
Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator.
The conjugate of 7 + 4[tex]\sqrt{3}[/tex] is 7 - 4[tex]\sqrt{3}[/tex]
= [tex]\frac{(5+2\sqrt{3})(7-4\sqrt{3}) }{(7+4\sqrt{3})(7-4\sqrt{3} }[/tex] ← expand numerator/ denominator using FOIL
= [tex]\frac{35-20\sqrt{3}+14\sqrt{3}-24 }{49-28\sqrt{3}+28\sqrt{3}-48 }[/tex]
= [tex]\frac{11-6\sqrt{3} }{1}[/tex]
= 11 - 6[tex]\sqrt{3}[/tex]
with a = 11 and b = 6
Apothem=
A) 4 units
B) 4 (square root) 2 units
C) 4 (square root) 3 units
Answers
Answer:
Step-by-step explanation:
c
Ifthe fish commission states that the mean length of all fish in spring run is mean =15cm,withthe standard deviation of variance=4cm,what will be the probability that a fish is caught in spring run :between 15cm&19cm?
Answers
Answer:
Step-by-step explanation:
z(lower) = (15-15)/4 = 0
z(upper) = (19-15)/4= 1
z at 0 = .5
z at 1 = 0.841344746
(look these up in a Z table)
probability "between" = 0.841344746 - .5 = 0.3841344746
0.384 is the probability that a fish is caught in spring run between 15cm and 19cm
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that fish commission states that the mean length of all fish in spring run is mean =15cm
the standard deviation of variance=4cm,
We need to find the probability that a fish is caught in spring run :between 15cm and 19cm
The z score formula is z=x-µ/σ
z(lower) = (15-15)/4 = 0
z(upper) = (19-15)/4= 1
From the table of z values we get
z at 0 is 0.5
z at 1 is 0.841344746
probability between 0.841344746 -0 .5 is 0.3841344746
Hence, 0.384 is the probability that a fish is caught in spring run between 15cm and 19cm
To learn more on Statistics click:
https://brainly.com/question/29093686
#SPJ5
Does anyone know the answers with big ideas!
Answers
Answer:
k = 3
Step-by-step explanation:
Parent function is f(x) = [tex]0.25^{x}[/tex]
As shown in the graph, function 'f' has been shifted 3 units upwards to form an image function 'g'.
If the given function is shifted 3 units upwards, equation of the new function will be,
g(x) = [tex]0.25^{x}+3[/tex]
Therefore, the value of k will be,
k = 3
Evaluate x2+9/x2 for each of the given values.
What is the value of the expression when x = 3?
2
3
10
undefined
What is the value of the expression when x = 1?
2
3
10
undefined
What is the value of the expression when x = 0?
2
3
10
undefined
Answers
Answer:
ok so we just substate the number in so
6+9/6
6+1 1/3 = 7 1/3
so for part a the answer is 7.33
for part b
2+9/2
3+4 1/2 =7 1/2
so the answer is 7.5
A:7.33
B:7.5
Hope This Helps!!!
Answer:
A, 2
B, 10
C, undefined
Step-by-step explanation:
Just did the assignment E2021
Find the equation of the line through point (4,−7) and parallel to =−2/3+3/2 Use a forward slash (i.e. "/") for fractions (e.g. 1/2
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Pls help me answer this :,(
What is the equation of the quadratic graph with a focus of (5, 6) and a directrix of y = -12?
Answers
Answer:
Step-by-step explanation:
Step-by-step explanation:
the answer is in the above image
PLEASE HELP, WILL GIVE BRAINLIEST FOR RIGHT ANSWER!
Indicate the equation of the given line in standard form, writing the answer in the equation box below.
The line that contains the point Q (1, -2) and is parallel to the line whose equation is
y − 4 = 2/3 ( x − 3)
Answers
Find y intercept of other line by substituting the coordinates: -8/3
Use information to write out equation of line: y= 2/3x - 8/3
Convert to standard form: -2x + 3y = 8.
Hope this helps :)
Answer:
my previous account deleted...how r u sadie??
Given that y is directly proportional to x. If y = 30 and x= 5, write an equation that connects y with x.
Answers
Answer: y = 6x
Step-by-step explanation:
Since this is a direct proportion, we will introduce the constant of proportionality here and this will be:
y = kx
Since y = 30 and x= 5,
30 = 5 × k
30 = 5k
k = 30/5
k = 6
Therefore, the equation that connects y to x will be:
y = kx
y = 6x
The equation that connects y to x is y = 6x.
5 6 7 8 9 10
TIME REMAINING
50:04
Which equation represents a circle with a center at (–3, –5) and a radius of 6 units?
(x – 3)2 + (y – 5)2 = 6
(x – 3)2 + (y – 5)2 = 36
(x + 3)2 + (y + 5)2 = 6
(x + 3)2 + (y + 5)2 = 36
Answers
Answer:
(x-a)(y-b)=r²
(x-(-3))(y-(-5))=r²
(x+3)2(y+5)2=36
4x=6y= 6 and 2x+5y=11 by elimination show all work
Please help me!!! I will mark brainlist !!
Answers
Answer:
ans: x= 11/4 and y= 11/8
Step-by-step explanation:
4x=6y=6 mean
4x= 6 and 6y= 6 so, 6-6=0 i.e
4x - 6y = 0 say equation ....1
and given
2x + 5y = 11 say equation ....2
to solve by eliminating methods,
multiply equation....2 by 2 and subtract from ....1
i.e
4x - 6y =0
4x + 10y= 22
(-) (-) (-)
0+ (-)16y = - 22
y = -22/-16
y = 11/ 8
to get , x put y in either equation 1 or 2
I.e x= 11/4
this value of x and y satisfy both equations
Which is another name for plane M?
Answers
can someone help? it’s 7th grade math and im finishing this project for the end of the year
Answers
Answer:
c
Step-by-step explanation:
Translate the sentence into an equation,
Three times the sum of a number and 7 equals 2.
Use the variable y for the unknown number.
Answers
Answer:
3(y+7)=2
Step-by-step explanation:
5 - 3tan3x = 0 trên -π< x < π.
Answers
Step-by-step explanation:
the answer is In photo above
Find the next term of the sequence.
21, 15, 9, 3, . .
6
−6
0
−3
Answers
Answer:
-3
Step-by-step explanation:
You need to substract 6 to get the next term.
I HOPE THIS HELPS :)
Answer:
-3
Step-by-step explanation:
21 - 6 = 15
15 - 6 = 9
9 - 6 = 3
3 - 6 = -3
I need help on this one
Answers
Answer:
just look at the constant terms...
A: 5
B: 7
C: -5
1) 11-6 = 5 thus answer A
2) -3 -2 = -5 thus answer C
3) -5 - (12) = -5 + 12 = 7 thus answer B
Step-by-step explanation: