(Will give brainliest :) pls tell me how to solve) Hikers are traveling at 3 miles per hour. They leave camp and hike LaTeX: N64^\circ WN 64 ∘ W for 2 hours. They change course to LaTeX: S23^\circ WS 23 ∘ W for 4 hours. How many miles is the trip back to camp. What bearing should they take to head back to camp?
Answers
Answer:
3.08270264 hours
Step-by-step explanation:
The first thing you have to do is a graph where you signal the cardinal points (1st image)
Then draw the first line that the problem gives you (N64°W). At the end of this line, you will draw the following line (S23°W) drawing another little graph as a guide. Finally, you will draw the last line, as long as a triangle is made (2nd image)
If you pay attention to the first line you made, you will notice that you can make a right triangle with angles of 90°, 64°, and 26° (3rd image)
So, returning to the other big triangle, you are going to add the 23° of the main orientation with the 26° that you just obtained from the first triangle (4th image)
Now you have a large triangle with one side that is worth 4, another that is worth 2, and an angle between them that is worth 49° (5th image)
From now on it's easier.
We know that if we have an angle between two know sides we can use Law of cosines (a²=b²+c²-2bcCosA)
So a² = 2² + 4² - 2(2*4)Cos49
a² = 4 + 16 - 2(8)Cos49
a² = 20 - 16Cos49
Cos49 = 0.65605902899
16 * 0.65605902899 = 10.4969444638
20 - 10.4969444638 = 9.50305554
a² = 9.50305554
a = [tex]\sqrt{9.50305554}[/tex] = 3.08270264
Hope I helped you and sorry for the bad quality of the photos
Related Questions
A certain laundry detergent recommends \frac{1}{4}
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Answer:
2
Step-by-step explanation:
[tex]\frac{1}{4}[/tex] a cup detergent for [tex]\frac{1}{2}[/tex] a load of clothes would mean for each full load, it would take [tex]\frac{1}{2}[/tex] a cup of detergent.
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Check whether the sequence is arithmetic. If so, find the common difference d. 2, 7, 12, 17, 22 ... Select the correct choice below and, if necessary, fill in the answer box within your choice.
Answers
Answer:
The answer is A.
Step-by-step explanation:
The common difference is five because 7-2=5, 12-7=5, 17-12=5, 22-17=5, and so on.
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Step-by-step explanation:
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Answer:
At the point where x = 2.
Step-by-step explanation:
First find the derivative which gives us the gradient of the tangent at any point on the curve:
y = 5x^2 - 16x
y' = 5*2 x^(2-1) - 16 x(1-1)
y' = 10x - 16.
y' is the gradient at point of coordinate x.
So when the gradient = 4:
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Answer:
x=2
Step-by-step explanation:
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Step-by-step explanation:
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Hope it will help :)
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Answers
Answer:
9.8
Step-by-step explanation:
solve :
4² ( 4³ )
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Answers
Answer:
1024
Step-by-step explanation:
4²(4³)
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16(64)
16×64
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An 8-pack of toy cars costs $5.97. What is the unit price, rounded to the nearest cent?
Answers
Answer:
$0.75 per toy car
Step-by-step explanation:
Divide 5.97 by 8
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Now round to the nearest cent which is the hundredths place
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A number line going from negative 2 to positive 2.
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Answers
Answer:
B, E
Step-by-step explanation:
0 and 1.999 are greater than -2 yet within the number line
Answer:
0
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1.999
347,595
Step-by-step explanation:
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Answer:
D
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
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Answer:
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Step-by-step explanation:
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Answers
Answer:
Step-by-step explanation:
We are given 2 fractional numbers:
We have to use fraction strips to compare to the fractional numbers.
Let we are Comparing with the length of number of sections.
i.e.
Let we are Comparing with the length of number of sections.
i.e.
Now, let us have a look at 3rd part of question:
The sections of 2/4 is _____ the length of 5/8. Therefore, 2/4 < 5/8
Let the answer be .
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2
5
Answer:
1) two
2)five
3)less than
4)<
Step-by-step explanation:
i took the test on iready :)
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Answers
Answer:
1) given
2) given
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Step-by-step explanation:
1) given
2) given
3) definition of vertical angles
4) AAS
is the answer to the question
Your grandmother has given you a gift of $1500 for your birthday. You are thinking about your future and
considering two different options on how to manage your money. Option A: You take all of your $1500 and
deposit it into a savings account that has a 5% interest rate per year. Option B: You spend $500 on a new
Apple Watch and deposit the remaining $1000 in a savings account that has a 5.5% interest rate per year.
.
Which account would have the most in 10 years? 20 years? Mathematically, explain your reasoning.
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Answers
Answer:
B
Step-by-step explanation:
if you put the rest of your money in a savings account you can use that money for your college fund or maybe buy a car ect.
Answer:
OPTION A yields the most money at 10 and 20 years. Hence Option A is the better choice for "thinking about your future"
Step-by-step explanation:
In the absence of any more information, I am going to assume that Simple Interest applies. (see attached)
hence the applicable formula is:
A = P(1+rt), where
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r = annual interest rate (5% = 0.05 for option A and 5.5% = 0.055 for option B)
t = time (we are asked to evaluate t = 10 years and t = 20 years)
For option A :
P = $1500 and r = 5% = 0.05
A = P(1+rt)
A = 1500 [ 1 + (0.05)t]
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at 20 years: A = 1500 [ 1 + (0.05)(20)] =$3,000
For option B :
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A = P(1+rt)
A = 1000 [ 1 + (0.055)t]
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at 20 years: A = 1000 [ 1 + (0.055)(20)] = $2,100
Comparing all the 4 results above, we can see that OPTION A yields the most money at 10 and 20 years. Hence Option A is the better choice for long term returns.
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Answers
Answer:
A
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Answers
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Answers
Answer:
The markup percentage was 135%.
Step-by-step explanation:
In order to find the markup percent, you have to take the sales price minus the cost and divide that by the cost. Then, you have to multiply by 100 to establish the markup percentage:
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According to this, the answer is that the markup percentage was 135%.
1 pts
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
:>
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Step-by-step explanation:
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Answers
Answer:
yea i knownhow
Step-by-step explanation:
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