Caroline leaves her apartment and walks 45° north of west for 1000 feet and then walks 200 feet due north to go to the grocery store. How far and at what north of west
quadrant is Caroline from being at her apartment?
Answers
Answer:
1150 ft W 52° N
Step-by-step explanation:
There are several ways a problem like this can be solved. Perhaps the easiest is to make use of a suitable vector calculator.
Using West as the reference for angles measured clockwise (toward north), the final position is ...
1000∠45° +200∠90° = 1150.149∠52.063°
__
You can also figure this using the Law of Cosines. It will tell you the resultant distance (c) in terms of the individual distances (a, b) and the angle between them (135°).
c² = a² +b² -2ab·cos(C)
c² = 1000² +200² -2·1000·200·cos(135°) ≈ 1,322,842.7
c ≈ √1322842.7 ≈ 1150.149
The angle difference from 45°N can be found using the Law of Sines.
sin(B)/b = sin(C)/c
B = arcsin(b/c·sin(C)) = arcsin(200/1140.149·sin(135°)) ≈ 7.063°
This means Caroline's bearing from home is 45° +7.063° ≈ 52° north of west.
Caroline's final position is 1150 W 52° N in relation to her home.
Related Questions
It is normal for some newborn babies to lose weight in their first week of life. Baby Todd's birth weight was 10 pounds. One week after being born, he is 10% lighter. What is Todd's current weight? pounds Submit
Answers
Answer:
9 pounds
Step-by-step explanation:
100% - 10% = 90%
90% -> .9
[Solving] 10 * .9 = 9
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
9 pounds
Step-by-step explanation:
10% of 10 pounds is 1 pound so baby Todd's current weight is 9 pounds.
(100,160), (500,680) in slope intercept form
Answers
Answer:
520/400
so y = 520/400 + b
Step-by-step explanation:
Which system of linear inequalities has the point (2, 1) in its solution set?
y less-than negative x + 3. y less-than-or-equal-to one-half x + 3 On a coordinate plane, 2 lines are shown. The first solid straight line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below the line is shaded. The second dashed straight line has a negative slope and goes through (0, 3) and (3, 0). Everything to the left of the line is shaded.
y less-than negative one-half x + 3. y less-than one-half x. On a coordinate plane, 2 lines are shown. The first solid straight line has a negative slope and goes through (0, 3) and (4, 1). Everything below the line is shaded. The second dashed straight line has a positive slope and goes through (0, 0) and (2, 1). Everything below and to the right of the line is shaded.
y less-than-or-equal-to negative x + 3. y less-than-or-equal-to one-half x + 2 On a coordinate plane 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below the line is shaded. The second line has a negative slope and goes through (0, 3) and (3, 0). Everything below and to the left of the line is shaded.
y less-than one-half x. y less-than-or-equal-to negative one-half x + 2 On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 2) and (4, 0). Everything below the line is shaded. The second dashed line has a positive slope and goes through (negative 4, negative 2) and (0, 0). Everything below the line is shaded.
Answers
2+2+30+40+15000+18000
Answers
Answer:
33074
Step-by-step explanation:
Please give brainliest
Answer:
[tex]2 + 2 + 30 + 40 + 15000 + 18000 = 33074[/tex]
[tex]i \: hope \: it \: is \: helpfull[/tex]
X = 4 + y
2x – 3y = 1
Answers
We know x = 4 + y (1)
So 2x - 3y = 1
<=> 2.(4 + y) - 3y = 1
<=> 8 + 2y - 3y = 1
<=> 8 - y = 1
<=> y = 8 - 1
<=> y = 7 (2)
move (2) to (1) : x = 7 + 4 = 11
ok done. Thank to me :>
Liza bought 5.035 kg of chicken. Write its weight in words.
Answers
Answer:
five point zero three five
Owen is driving to a concert and needs to pay for parking. There is an
automatic fee of $12 just to enter the parking lot, and when he leaves the lot,
he will have to pay an additional $3 for every hour he had his car in the lot.
How much total money would Owen have to pay for parking if he left his car
in the lot for 5 hours? How much would Owen have to pay if he left his car in
the lot for t hours?
Cost of parking for 5 hours:
Cost of parking for t hours:
Answers
Answer:
$39
Step-by-step explanation:
because 12 enter and leave is 24 then 3 per he that is 39$
If you subtract ¾ by ¼,what is the difference?
Answers
- BRAINLIEST answerer
Assume there are 20 people in a room, including you. You must shake hands with everyone else in the room. How many hands will you shake
Answers
Answer:
19, I'm pretty sure?
A polygon undergoes a combined transformation of T3.2) (Ro, 90). The vertex (5,2) of the polygon maps to what final image?
А
(-4,8)
B.
(-2,5)
С
(1,7)
D
(5.-3)
Answers
The final image of the vertex of the polygon after a translation and rotation would be (- 4, 8).
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
The preimage of the vertex of a polygon is, (5, 2).
Now, After a transformation of T(3, 2) the image of the vertex of the polygon would be, (5 + 3, 2 + 2) ⇒ (8, 4).
Now, Another transformation is the rotation of 90° (counterclockwise as it is positive).
We know a rotation of 90° counterclockwise to (x, y) becomes (- y, x).
Therefore, The vertex of the polygon will be at (- 4, 8).
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2 1/4 divided by 3/4 i need it fast tho-
Answers
Answer:
3
Step-by-step explanation:
We have to divide 2 1/4 by 3/4
First convert 2 1/4 to an improper fraction
2 1/4 = (2*4 + 1)/4 = 9/4
Divide 9/4 by 3/4
(9/4)/(3/4)
The denominator of both the numerator and denominator are the same and can be canceled. This gives 9/3
Now cancel the common factor 3, which gives 3
The required value of 2 1/4 divided by 3/4 is 3
Answer:
Step-by-step explanation:
Use KCF method
Keep the first
Change division to multiplication
Flip the second
[tex]2\dfrac{1}{4}=\dfrac{9}{4}\\\\\[/tex]
9/4 ÷ 3/4
[tex]= \dfrac{9}{4}*\dfrac{4}{3}\\\\= 3[/tex]
ANSWER QUESTION 2 PLEASE? OR EXPLAIN IT?
Answers
Answer:
Step-by-step explanation:
Answer: The length of the third side is greater than 4 ft and less than 20 ft.
Step-by-step explanation: Given that two sides of a triangle have lengths 8 ft and 12 ft.
We are to describe the possible lengths of the third side.
Let x ft be the length of the third side of the triangle.
We know that
the sum of the lengths of any two sides of a triangle is always greater than the third side.
So, we must have
Also,
and
From inequalities (i), (ii) and (iii), we get
Thus, the length of the third side is greater than 4 ft and less than 20 ft.
What percentage of teens and young adults have retail jobs? 5% 7% 8% 19%.
Answers
the answer is 19 percent
The percentage of teens and young adults in the pie chart that represents retail jobs is 19%.
What is a pie chart?A Pie chart is a type of graph that displays data in a circular graph.
The pie chart above is used to represent the percentage of young adults and teen that works in various industry.
The industries represented in the pie chart includes leisure and hospitality, retails trade, education and health sector, Manufacturing, construction, government and many more.
Therefore, the percentage of teens and young adults that represents retail jobs is 19%.
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Which choice is the graph of y < x – 5? (Need Help!!!)
Answers
Answer:
Step-by-step explanation:
The graph increasing over the given entire interval: -3 < x < 0.
What is Linear Function?An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=2x+5. Where:
m= the slope.
b= the constant term that represents the y-intercept.
Here, we have,
For the given example: m=2 and b=5.
A function can be classified as:
increasing - when the values of y increase with the increasing of x-values
decreasing - when the values of y decrease with the increasing of x-values
The question gives the entire interval where the function increases. Thus, from the graph is possible to see that the function increases when x is between –3 and 0 because the values of y increase with the increasing of x-values.
Hence, The graph increasing over the given entire interval: -3 < x < 0.
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complete question:
This shows a graph.
For which choice is the graph increasing over the entire interval?
0 < x < 2
2 < x < 4
-3 < x < 0
-3 < x < 4
For which choice is the graph increasing over the entire interval?
I need help hurry plzzzzzz
Answer if u know will mark brainliest
Answers
Answer: Die with memories, not dreams. – Unknown
Step-by-step explanation: Go make some good memories! Be yourself
the value if /14-15/ is
Answers
Answer:
1
Step-by-step explanation:
/14-15/
/-1/
1(because absolute value of any real number is always positive and for zero itself zero)
Aaden wants to get a subscription to an online library. There are two subscription options, one of which charges a fixed 96 dollar annual fee and the other which charges 3 dollars per book he borrows.
Here's a graph that shows a system of equations for this scenario where x is the number of books Aaden borrows and y is the total cost of the subscription.
A graph with two lines and a point. Line A is labeled y equals 96. Line B is labeled y equals 3 times x. Point S is below line B and above line A.
What does point SSS represent in this context?
Choose 1 answer:
(Choice A)
A
A number of books and their cost using the subscription that charges per book
(Choice B)
B
A number of books and their cost using the subscription with the annual fee
(Choice C)
C
A number of books and their cost where both subscriptions cost the same
(Choice D)
D
A number of books and their cost that is not possible with either subscription
I sent a screen shot of the graph
Answers
Answer:
A
Step-by-step explanation:
A number of books and their cost where the subscription with the annual fee costs less. hope it helps and take care ✌
Point S represents the number of books and their cost using the subscription that charges per book
Option A is the correct answer.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
Based on the given graph, point S represents the number of books and their cost using the subscription that charges per book (Option A).
This is because point S is located below line B, which represents the total cost of the subscription with a variable cost per book, and above line A, which represents the total cost of the subscription with a fixed annual fee.
Therefore,
Point S represents a combination of a certain number of books borrowed and the corresponding total cost of the subscription using the variable cost per book option.
Learn more about equations here:
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What is the probability of selecting an 8 from a standard deck of 52 playing cards, not keeping it, then selecting the ace of clubs? Type your answer in simplified fraction form.
Answers
Answer:4/13
Step-by-step explanation:
It is 4*(4/52)
Parallel Lines
Transform a Trapezoid
Two lines or line segments that are parallel in the preimage will be parallel in the image in a rigid
transformation. Critique the validity of the statement.
Provide evidence that supports this statement or that contradicts it from your investigations using the
Dynamic Geometry Tool.
Answers
Answer:
Writing formal proofs to prove conjectures about lines, angles and triangles ... parallel to each other or on the same line—and since the altitudes of both ...
By the Trapezoid Midsegment Theorem, the midsegment of a trapezoid is parallel to each base and its measure is one half the sum of the lengths of the bases.Step-by-step explanation:
Hope this helps
information about five planets is shown in the table below. write down the name of the planet with the greatest mass
Answers
Answer:
Jupiter
Step-by-step explanation:
Jupiter is 318 times as massive as earth
Jupiter mass is 300 times more bigger than earth and it has a diameter at 140,000 km
The (least common multiple, greatest common factor) of 5 and 10 is 5.
Answers
Answer:
the Greatest common factor is 5
Alvin is 14 years younger than elga. The sum of their age is 78.
Answer: 46
Answers
What is the inverse of g(x)=-2/x-8
Answers
ang mga gan yan Hindi ko alam Kase may mudule din ako bb
Jim has $84,410 in a savings account that earns 15% interest per year. How much will he have in 4 years?
Answers
find the percentage change of $20 to $25
Answers
Answer:
25%
Step-by-step explanation:
Percent change formula:
[tex]C = \frac{x_{2} - x_{1}}{x_1}[/tex]
x_1 = initial value
x_2 = final value
[tex]\frac{25-20}{20} = \frac{5}{20} = \frac{1}{4}[/tex]
1/4 = 0.25
25 PERCENT INCREASE
it cant be descrase
If a cheetah can travel 120 meters in just 4 seconds, then how many meter can it travel in 25 seconds?
Answers
Answer:
750 meters
Step-by-step explanation:
120 meters/4 seconds = 30 meters per second
30 meters per second * 25 seconds = 750 meters
(you could calculate 3 * 25 first to get 75 and then add the zero at the end. It's the faster way.)
Answer:
x = 750 m
Step-by-step explanation:
Write and solve a equation of ratios:
120 m 4 sec
------------- = -------------
x 25 sec
Inverting this equation yields
x 25 sec
-------------- = -------------
120 m 4 sec
Cross-multiplication yields (4 sec)x = (120 m)(25 sec). This yields:
3000 m-sec
x = -------------------- = 750 meters
4 sec
Note that the same result can be obtained by multiplying (120 m) by (25/4).
Please help with this
Answers
Answer:
the answer is x=107° you're welcome
ABC is a triangle
AB = AC and BA is parallel to CD
Work out the size of the angle marked x
Answers
Step-by-step explanation:
so as ∆BCE is a right angled triangle
angle BEC = 90°
angle CBE = 22° (given)
apply angle sum property of triangle
so according to that
BCE + CBE + ECB = 180
22° + 90° + ECB = 180
102° + ECB = 180
ECB = 180 - 102
ECB = 78°
and also we know, that exterior angle of a triangle is equal to 2 interior angle of triangle,
so ,
x = 78°
hope this answer helps you dear! take care
pls help with these, at least up to finishing question 2 or Question 3b
Answers
Answer:
For question 3b the answer is no because the common difference is 4
Step-by-step explanation:
6,10,14,18,22,26,30,34
It will be 34 not 33
what is |-9| i need help
Answers
Answer:
9
Step-by-step explanation:
absolute value makes everything positive. for example |-3| = 3 and if its already positive it stays positive, for example |5| = 5