A hiker travels at 2.8 miles per hour at a heading of N49°W from a ranger station. After 4 hours, how far north and how far west is the hike from the ranger station?
Answers
Answer:
Step-by-step explanation:
The diagram showing the pictorial view is attached below.
From the image, the distance of the hiker traveled which is denoted by "h" can be determined as follows:
h = 2.8 mi/hr × 4 hr
h = 11.2 mi
Using the trigonometric function;
The distance of how far North is the hike from the ranger station can be determined by using the function of Sin θ
[tex]Sin \theta = \dfrac{opposite}{hypotenuse}[/tex]
[tex]Sin(41^0) = \dfrac{x}{11.2}[/tex]
x = Sin 41 (11.2)
x = 0.6561(11.2)
x = 7.34832
x ≅ 7.35 miles
The distance of how far west the hike from the ranger station is calculated by using:
[tex]cos \theta = \dfrac{adjacent}{hypotenuse}[/tex]
[tex]cos (41^0)= \dfrac{y}{11.2}[/tex]
y = 0.7547 × (11.2)
y = 8.45 miles
Related Questions
What is the answer? I need help quick!
Answers
Answer:
Point BStep-by-step explanation:
-6 is to the left from origin and π/12 is in between 0 and π/6 above the x-axis. So the point (-6, π/12) is in the second quadrant.
Other points represent coordinates of:
A=(6, π/12), C=(-6, -π/12), D=(6, -π/12)This is point B and correct choice is option B.
9514 1404 393
Answer:
point C
Step-by-step explanation:
The given coordinates (-6, π/12) are equivalent to (6, 13π/12). That is, the negative radius is equivalent to a positive radius in the opposite direction (angle different by π radians).
The point on the diagram with coordinates (6, 13π/12) is point C.
I need help please?!!!!
Answers
Answer:
I am think so opction (C).....
1. Use the graph
below to find how
many solutions there
are and solve to find
the solution(s) to the
system of equations.
Answers
Answer:
One solution ; (2,5)
Step-by-step explanation:
When looking at a graph, the number of times the lines intersect is equal to how many solutions there are.
In this instance, there is only one intersection. Therefore, there is only one solution.
The solution is also that point of intersection. Therefore, the solution here is the point (2,5).
Ron flies his airplane 20 km over the ground. He gains 800 m in altitude over the flight. What is the slope of the line segment representing the flight.
Answers
Answer:
this might help.......
Step-by-step explanation:
...
The slope of the line segment representing the flight is 0.04.
The slope of a line segment is calculated by dividing the change in the vertical direction (the altitude) by the change in the horizontal direction (the distance traveled). In this case, the change in the vertical direction is 800 meters (800 / 1000 = 0.8 kilometers) and the change in the horizontal direction is 20 kilometers. Therefore, the slope of the line segment is 0.8 / 20 = 0.04.
In other words, for every kilometer that Ron travels, he gains 4 meters in altitude.
Here is the solution in more detail:
Define the variables.
x: The distance traveled in kilometers.
y: The altitude in meters.
Write the equation for the line segment.
The slope of the line segment is 0.04, so the equation for the line segment is y = 0.04x + b.
We know that when x = 0, y = 0, so b = 0.
Substitute the known values into the equation.
We know that x = 20 and y = 800, so we can substitute these values into the equation to get 800 = 0.04 * 20 + 0.
Simplifying the right side of the equation, we get 800 = 0.8.
Solve for the slope.
The slope is 0.8 / 20 = 0.04.
Therefore, the slope of the line segment representing the flight is 0.04.
To learn more about slope here:
https://brainly.com/question/14511992
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helppppppppppppppppppp
Answers
Step-by-step explanation:
sqrt(x + 2) - 15 = -3
sqrt(x + 2) = 12 (add 15 to both sides)
x + 2 = 12² = 144 (square both sides)
x = 142.
Answer:
x = 142
Step-by-step explanation:
√x+2 - 15 = -3 (Given)
√x+2 = 12 (Add 15 on both sides)
x + 2 = 144 (Square both sides to get rid of the radical)
x = 142 (Subtract 2 on both sides)
Don't steal points
its not cool
i WILL report
and also
answer this and u could have a chance to get brainliest
ill be asking 10 questions
whoever has the best answer in any of these ill give brainliest :D
Answers
Answer:
179
Step-by-step explanation:
5x^2 + x - 7
5(6)^2 + 6 - 7
5(36) + 6 - 7
180 +6 -7
180 - 1
179
Answer:
179 is the correct answer.
Step-by-step explanation:
x = 6
5x^2 + x - 7
Now, replace both x's with 6 and solve,
5(6)^2 + 6 - 7
(6 x 6 = 36)
5 x 36 + 6 - 7
(5 x 36 = 180)
180 + 6 - 7 = 179
easy question????????????/
Answers
Answer:
The answer to this is...........
Step-by-step explanation:
unknown
or 95
Answer:
95
Step-by-step explanation:
square?
i neeed 200000000 charaters reeeeeeeee
Answers
Answer:
31
Step-by-step explanation:
you do 6×3=18 then you do 18+7=25 last 25+17=42 then you add 2
Answer:
i dont know what ur saying but square would me x2 or somthing like that.
Danica made $319 babysitting last month. In the that month, She babysat for a total of 29 hours. How much money did Dianica make per hour?
Answers
Answer:
$11/hr
Step-by-step explanation:
$319 divided by 29 hours she worked= getting paid 11/hr
-4 -(-12)= 12 + (-4) true or false
Answers
Please awnser this. -5r + 6 < -5(r + 2)
Answers
Answer:
No solutionStep-by-step explanation:
-5r + 6 < -5(r + 2)-5r + 6 < -5r - 106 < - 10Wrong inequality so no solution
prove tha "an empty set is a subset of any set"
Answers
Answ
yes it is
Step-by-step explanation:
Which graph shows a linear relationship?
Answers
Answer:
Graph C
Step-by-step explanation:
Graph C shows a linear relationship
Answer:
For that one is C
Kyle was asked to make a model to solve the following problem.
Mr. Bloom is creating a garden. 4/10 of his garden will be roses and 2/10 will be made up of sunflowers. How much room does Mr. Bloom have left after planting the roses and sunflowers?
Kyle said the answer was 2/5. Do you agree? Justify your reasoning in the post below.
Answers
Answer:
yes, kyle is right.
Step-by-step explanation:
4/10 + 2/10 = 6/10
there are 4/10 left after planting which can be reduced by 2 = 2/5
Answer:
No, it is 3/5
Step-by-step explanation:
Because you divide by 2 for both bottom and top of the fractions and you will get 1/5, and 2/5 and you add them together and you get 3/5.
The following data represent the number of grams of fat in breakfast meals offered at a local fast food restaurant. (a) Construct an ordered stem-and-leaf plot and (b) describe the shape of the distribution.
37
43
18
27
20
16
35
23
12
5
17
23
2
12
18
17
39
25
3
4
19
6
Answers
for a time-series plot, what is emphasized if the vertical axis starts at a nonzero value?
Answers
Answer:
The changes in the variable described by the vertical axis are being emphasized.
Step-by-step explanation:
Use the scale drawing and the scale factor to enlarge a square that has a side length of 12 in. Scale factor= 3 in:2m.
Which proportion could you use to solve the side length, x, of the enlarged square?
Answers
Given:
The side of square = 12 in.
Scale factor of enlargement = 3 in : 2 m
To find:
The proportion that is use to solve the side length, x, of the enlarged square.
Solution:
Let, the side of length of enlarged square = x m
In case of enlargement the corresponding sides are proportional.
[tex]\dfrac{3}{12}=\dfrac{2}{x}[/tex]
[tex]3x=2\times 12[/tex]
[tex]3x=24[/tex]
Divide both sides by 3.
[tex]x=\dfrac{24}{3}[/tex]
[tex]x=8[/tex]
Therefore, the required proportion is [tex]\dfrac{3}{12}=\dfrac{2}{x}[/tex] and the side length of the square after enlargement is 8 m.
What is 1,864.29 - 375
Answers
Answer:
1489.29
Step-by-step explanation:
Ignore the decimals, and just subtract 375 from 1864. That gives you 1489. Put the decimal values back and you get your answer of 1489.29.
can someone explain how 1/4 × 900/1 is equal to 225, my mom is asking for an explanation and I used a calculator help me
Answers
Answer:
See below
Step-by-step explanation:
[tex] \frac{1}{4} \times \frac{900}{1} \\ \\ = \frac{1 \times 900}{4 \times 1} \\ \\ = \frac{900}{4} \\ \\ = \frac{9 \times \cancel {100} }{\cancel4} \\ \\ = 9 \times 25 \\ \\ = 225[/tex]
Answer:
four of 225 makes 900/1, or 900. So, one 225 should be one of the four 225s that equal 900. 1/4 × 1/900, or 1/4 of 900, should be 225.
What is the difference in height between the shortest and longest candy bars?
Answers
Answer:
1.5 inches
Step-by-step explanation:
Alice purchased a cell phone for 30% ff the original price. The sales price was $84 . What was the original price of the cell
Answers
Answer: $120
Step-by-step explanation:Quick maths.
The two triangles shown are similar. Which of the following is an acceptable similarity statement for the triangles?
Question 8 options:
A)
ΔQSR ∼ ΔVUT
B)
ΔSRQ ∼ ΔVUT
C)
ΔRQS ∼ ΔVUT
D)
ΔSQR ∼ ΔVUT
Answers
Answer:
B
Step-by-step explanation:
they are two 90° .so B is correct I think
Answer:
B)
ΔSRQ ∼ ΔVUT
Step-by-step explanation:
The angles in the order SQR match VUT
Please mark me brainliest if this helped. :)
2. Explain. How do you know something is a pattern?
Answers
Answer:
It repeats over and over..
Step-by-step explanation:
Answer:
As such, the elements of a pattern repeat in a predictable manner. A geometric pattern is a kind of pattern formed of geometric shapes and typically repeated like a wallpaper design.
Step-by-step explanation:
Graph y= 3x+4 Please help! 8th grade math
Answers
(0, 4), (1, 7), (2, 10)
Since the graph is linear, plot these points and draw a line through them
How do you turn a fraction into a percentage
Answers
Answer:
you turn a fraction into a percentage by dividing the numerator by the denominator. then multiply the decimal by 100.
Step-by-step explanation:
DA−2qA=B^3
Solve for A
Answers
Answer:
[tex]a=\frac{b^{3} }{d-2q}[/tex]
Step-by-step explanation:
i think
The value of A from the given equation is A=B³/(D-2q).
The given equation is DA-2qA=B³.
We need to solve the given equation for A.
What is an equation?
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Now, DA-2qA=B³ can be solved for A as follows:
A(D-2q)=B³
⇒A=B³/(D-2q)
Therefore, the value of A from the given equation is A=B³/(D-2q).
To learn more about an equation visit:
brainly.com/question/14686792.
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two percent of a product are defective. if a lot of 100 items are ordered what's the probability that there are no defective item? what's the probability that there are at least two defective items?
Answers
Answer:
P(X ≥ 2) = 0.5967
Step-by-step explanation:
Using binomial probability distribution formula;
P(X = k) = C(n, k) × p^(k) × (1 - p)^(n - k)
two percent of a product are defective. Thus; p = 0.02
a lot of 100 items are ordered. Thus, n = 100
Probability that there are no defective items is;
P(X = 0) = C(100, 0) × 0.02^(0) × (1 - 0.02)^(100 - 0)
P(X = 0) = 0.98^(100) = 0.1326
the probability that there are at least two defective items will be;
P(X ≥ 2) = 1 - P(X < 2)
Now,
P(X < 2) = P(X = 0) + P(X = 1)
P(X = 1) = C(100, 1) × 0.02^(1) × (1 - 0.02)^(100 - 1)
P(X = 1) = 100 × 0.02 × 0.98^(99) = 0.2707
Thus;
P(X < 2) = 0.1326 + 0.2707
P(X < 2) = 0.4033
P(X ≥ 2) = 1 - 0.4033
P(X ≥ 2) = 0.5967
Find the result when 5m+2 is subtracted from 9m
Answers
Answer:
6m
Step-by-step explanation:
9m - (5m-2) =
5m-2= 3m
9m - 3m= 6m
Please give Brainliest if it helped.
Which Inequality is shown on the accompanying graph (image included)
If you can, pls explain :’)
Answers
Answer:
4. x ≥ -1
Step-by-step explanation:
The graph shows a directed line that starts at -1 towards the your right. The full circle indicates that -1 is included among the possible values of x. This means that all possible values of x include -1 and above.
Therefore, we can say x is greater than or equal to -1.
This is represented as:
x ≥ -1
In a random sample of 50 West High School students, 14 students have a pet. If 500 students attend West
High School, which of the following is the best estimate of the number of West High School students who
have a pet?
A 36
B 50
140
D 464
Answers
Answer:
the answer is 140
Step-by-step explanation: