Two boats leave the same port at the same time. One travels at a speed of 28 mi/h in the direction N 50° E, and the other travels at a speed of 26 mi/h in a direction S 70° E (see the figure). How far apart are the two boats after 1 h? (Round your answer to the nearest mile.)
Answers
Answer:
27 miles
Step-by-step explanation:
The law of cosines can be used to find the distance between the boats. In 1 hour, one has traveled 28 miles, and the other has traveled 26 miles. The angle between their directions of travel is ...
180° -50° -70° = 60°
Then the distance c can be found from ...
c^2 = a^2 +b^2 -2ab·cos(C)
c^2 = 28^2 +26^2 -2·28·26·cos(60°) = 732
c = √732 ≈ 27.055
The boats are 27 miles apart after 1 hour.
Related Questions
1). A home repair crew charges seventy-five dollars per day plus two hundred fifty-five
dollars for each hour the crew works. One day the crew works c hours and charges a
total amount of one thousand, six hundred five dollars. How many hours does the crew
work?
Answers
Answer:
Approx 3 hours.
Step-by-step explanation:
750 + 255c = 1605
255 c = 855
c = approximately 3 hours.
Answer:
The crew worked 6 hours.
Step-by-step explanation:
$255 x 6 = $1530
Add the "Per Day Fee" of $75
$1530 + $75 = $1605 Dollars
How many times is it necessary to fold repeatedly in half one sheet of paper of thickness
0.1 mm to reach the thickness of the layer at least 1 m?
1) 60
2) 140
3) 16
(4) 14
5) 10000
Answers
can someone give me the answer no explaining
Answers
Answer:
Greater than
Step-by-step explanation:
Answer:
5/3 is greater
Step-by-step explanation:
Whats an easy way to focus and get my homework completed quickly?
Answers
Answer:
Have all devices that may distract you off or in another room. You should also work in a quiet place, such as a bedroom, library, etc.
Answer: set goals for the time you will be working. put away distractions and electronics. try to work in a quiet place. after working for a while, take a 5-10 minute break to walk around and drink water or eat a small snack. if it helps you, play non distracting music such as lofi or piano music. also stay hydrated while working. i like to write all of the things i have to do in order, and write the time i will be done by them. example
science 2 pm
history 2:45
art 3:15
hope this helps!
The number of packages of ribbon varies directly to the total amount of ribbon in feet. At a packaging plant 12 packages of ribbon will contain 900 feet of ribbon. If 4 packages of ribbon on ordered, how many feet of ribbon will there be?
Answers
Answer:
300 feetStep-by-step explanation:
Direct variation equation:
y = kx, where k is the coefficient of variationWe have y = 900, when x = 12, find the value of k:
900 = 12kk = 900/12k = 75The equation is:
y = 75xNow, find the value of y, when x = 4:
y = 75*4 = 300Will the value of each power will be + or - ?
4. (-64
5. (-3)?
Plzzz help
Answers
Answer:
4. Positive (+)
5. Negative (-)
Step-by-step explanation:
When the exponent is even, the value will be positive (+). If the exponent it's odd, the value will be negative (-). This only applies when the number in the parenthesis is a negative number.
4) Solution:
→ (-6)⁴
→ -6 × -6 × -6 × -6
→ +1296
Ans: Positive
5) Solution:
→ (-3)⁷
→ -3 × -3 × -3 × -3 × -3 × -3 × -3
→ -2187
Ans: Negative
Find the length x. Round to the nearest tenth.
A.) 3.4
B.) 9.4
C.) 3.6
D.) 6.6
Answers
Answer:
A
Step-by-step explanation:
Mark brainliest please
Which of the following could be a value for a bearing, written in the correct
format?
07°
0007°
007°
7°
Answers
Answer:007
Step-by-step explanation:Bearings are a measure of direction, with North taken as a reference.
If you are travelling North, your bearing is 000°, and this is usually represented as straight up on the page.
If you are travelling in any other direction, your bearing is measure clockwise from North.
what is the answer??????
Answers
Answer:
1) B 1 1/32 2) A 1.8
Step-by-step explanation:
1) 2 3/4÷2 2/3
Turn into improper fractions.
11/4÷8/3
Keep Change Flip
11/4x3/8
Multiply.
33/32
=1 1/32
2) 1 4/5 as a decimal.
Turn into an improper fraction.
9/5
Divide.
=1.8
Hope this helps :)
how can u calculate 23x4 if the 4 buton is broken?
Answers
Answer:
23x2x2
Step-by-step explanation:
Cooper earned $214.50 at his job when he worked for 13 hours. How much money did he earn each hour?
Answers
Answer:
$16.50
Step-by-step explanation:
write an equation in
Slope-int form
m=9, b=4
Answers
You just plug in the numbers into y=mx+b
1, 1, 2, 3, 5, 8 are the first six numbers of the fibonacci sequence. what is the eighth number? 18
Answers
I need help on this question please
Answers
Answer:
ABC -- not similarΔJKL ~ ΔHIG, AA similaritynot similarStep-by-step explanation:
a) Side ratios in the smaller triangle are 3:4:6. In the larger triangle, they are 5:6:9. These are not equivalent ratios, so the triangles are not similar.
__
b) The missing angle in the left triangle is 90° -55° = 35°. This matches the acute angle shown in the right triangle, so the right triangles are similar by the AA similarity criterion. The given triangle JKL starts with the largest acute angle, then the right angle, so the similarity statement must be ...
ΔJKL ~ ΔHIG
__
c) All we know for sure is that the vertical angles are congruent. We need information about a pair of sides or of another angle before any similarity can be claimed. The triangles are not necessarily similar.
Check the number or numbers that are in the solution set of the equation
below.
7x > 42
A. 14
B. 5
C.35
D. 6
E. 12
F9
Answers
Answer:
A, C, E, F
Step-by-step explanation:
when you multiply the numbers with 7 the answer is greater than 42
Grayson is planning to be out of town for the day, so he asks a friend to dog-sit his 3 dogs.
Each dog eats 0.5 pounds of food every day. If dog food is sold in 12-ounce cans, how many
cans should Grayson leave for the time he is away?
Answers
Answer:
1 12 ounce can would last 18 days, I don't know how long he is planning on leaving his dogs
What is the weight of one serving chiken
Answers
Answer:
3 kgs
Step-by-step explanation:
u can also weight that chicken and you spelled wrong word it is not chiken chicken
Answer: 3 to 4 ounces
The recommended single portion of chicken is 3 to 4 ounces, about the size of a deck of playing cards. Some people use the palm of their hand as a guide. Depending on the vendor, some chicken breasts are two or three times the recommended serving size.
Step-by-step explanation:
Pls only help if you know the correct answer! Thanks!! :))
Answers
Answer:
The answer is 19.95$
Step-by-step explanation:
With the price being 3.50 per gallon
and irene had filled her car with 5.7 gallons
5.7 + 3.50 = 19.95$
reflect the co ordinate (7,-5) in the y-axis
Answers
Answer:
(-7, -5)
Step-by-step explanation:
Hope this helps!
Can someone please help me?
75 POINTS
Answers
Answer:
1. 8
2. 4
3. 5
4. 8/125
5. 4/3
6. 6
7. 8
8. 2
Step-by-step explanation:
This is true believe me I checked each one :)
Which equation can be simplified to find the inverse of y = 2x2?
Answers
Answer:
d
Step-by-step explanation:
dddddddd
Answer: D
Step-by-step explanation:
EDGE 2023
How to tell if something is a function.
Answers
Answer:
it is when it can make a mathematical statement
20) Joan bought a soft drink for 2 dollars and 8 candy bars. She spent a total of 34 dollars. How much did each candy bar
cost?
Answers
Answer:
the answer is$4
Step-by-step explanation:
he spend $2 on soft drinks and now she had 32 dollars left so she bought 8 candy and 32÷8= 4 so, she had spend$4 each on candy bars
What is the equation of the parabola? If correct will award brainliest, scam answers will be reported!
Answers
Answer:
Equation of parabola: y = a(x-h)2 + k or x = a(y-k)2 +h, but the simple version is y2 = 4ax.
Step-by-step explanation:
Identify the slope!!
Answers
Answer:
Step-by-step explanation:-0y+2-4x
40 cookies are in a jar. 1/5 of the cookies are chocolate cookies. Someone eats 1/4 of the chocolate cookies. How many cookies remain in the jar?
Answers
Based on the number of cookies in the jar and the number eaten by the person, the number of cookies remaining is 38 cookies.
The total number of chocolate cookies is:
= Total cookies x Percentage that is chocolate
= 40 x 1/5
= 8 cookies
Someone eats 1/4 of this which is:
= 8 x 1/4
= 2 cookies
The number of cookies left is:
= Number of cookies - Number of cookies eaten
= 40 - 2
= 38 cookies
In conclusion, there are 38 cookies remaining.
Find out more at https://brainly.com/question/18104324.
Write an equation representing the area Felicia covered, y, in terms of the number of tiles she used, x. I'LL GIVE 40 POINTS
Answers
The proportional equation representing the area Felicia covered, y, in terms of the number of tiles she used, x is:
[tex]y = \frac{x}{6}[/tex].
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
Researching this problem on the internet, we have that 6 tiles cover 1 square feet, 12 tiles cover 2 square feet, and so on, hence the constant is given as follows:
[tex]k = \frac{1}{6} = \frac{2}{12}[/tex]
Hence the function is given as follows:
[tex]y = \frac{x}{6}[/tex].
More can be learned about proportional equations at https://brainly.com/question/10424180
#SPJ1
Answer: Felicia's equation is:
y=1/9x
Step-by-step explanation:
Please help me with this homework …
Answers
Answer:
I think letter B
Step-by-step explanation:
Yyyyyyyygggggggggggggggg
??????????????????????????????????
Answers
Answer:
49% chance
step by step
total number of students is 41, 21 picked chemistry
41-21 =20
20÷41 =0.487
0.487 rounded up to 2 decimal places x 100 =49
=49%
which of the following theorems proves that abc~def?
Answers
Answer:
D but read below.
Step-by-step explanation:
I take it that the symbol ~ stands for similar. If that is so, then the answer you want is AA, because if 2 angles in a triangle are equal, then all 3 are. So if any 2 equal angles in one triangle are equal to 2 angles in another, then the two triangles are similar.