Answer:
44.5 km on a bearing of 134.1°
Step-by-step explanation:
A suitable vector calculator will tell you the location of the ship from port is ...
21∠32° +45∠287° = 44.5∠-45.9°
The bearing of the port is in the reverse direction, so 180° added to this:
180° +(-45.9°) = 134.1°
The distance from port is 44.5 km. The bearing of the port is 134.1°.
_____
Additional comment
The distance from port is perhaps most easily found using the Law of Cosines. It is the third side of a triangle with sides 21 and 45. The included angle is (287° -(180° +32°)) = 75°. The distance is then ...
c = √(a² +b² -2ab·cos(C)) = √(21² +45² -2·21·45·cos(75°)) ≈ √1976.83
≈ 44.5 km
The angle between the 32° bearing and the bearing from the port to the ship can be found using the Law of Sines.
B = arcsin(b/c·sin(C)) = arcsin(45/44.5sin(75°)) ≈ 77.9°
so, the bearing angle from the ship to the port is ...
180° +(32° -77.9°) = 134.1°
__
Bearings are measured clockwise from north. A diagram can be helpful.
i need answers thank you
Answer:
A
Step-by-step explanation:
Select the quadrilateral for which the diagonal is a line of symmetry.
A. parallelogram
B. square
C. trapezoid
D. isosceles trapezoid
Answer:
b
Step-by-step explanation:
cut it in half, boom equal
Answer:
b
Step-by-step explanation:
Filled up gas tank with 24 gallons. He used .06 gal every mile.
Answer:
are you asking how many miles he can go bc it would be .6 * 24 = 14.4 miles before he runs out
find the measure of angle Y
9514 1404 393
Answer:
y = 40°
Step-by-step explanation:
The diagonal BD divides angle D into two equal parts:
y = 40°
!!!!!!!!!!!!!!!!!!!2
Answer:
See below:
Step-by-step explanation:
Hello! I hope you are having a nice day.
We can solve this problem in one step, we just have to look at the graph and see how the line works.
The equation of the line is [tex]y=8x+0[/tex] as the line rises by 4 for every hour they work. We can prove this by substituting points and seeing what we get.
In words, after reading our equation, we can see the following
"Every hour Anthony works, he earns 8 dollars".
We can see this because if we look at the line, when he works for one hour on the x axis, we gains 8 on the y axis
Hence our answer would be B.
Cheers!
PLSSS HELP WIL REWARD BRAINLIEST!!
You may begin by calculating the slope's angle, then marking the slope's midway point, or 0, then the left end, -1, and finally the right end, 1.
help me with this please!
help plzz
Find the length of X
Answer:
the answer is x=8 that is the answer
Under her cell phone plan, Rajani pays a flat cost of $65 per month and $5 per gigabyte. She wants to keep her bill under $85 per month. Write and solve an inequality which can be used to determine gg, the number of gigabytes Rajani can use while staying within her budget. need help with this
Answer: $85 [tex]\leq[/tex] $65 + ($5)*gg
Step-by-step explanation:
$85 [tex]\leq[/tex] $65 + ($5)*gg
The values are in $/month, but we'll assume 1 month is all we need to answer the question of what it would take to remain below $85/month. The fixed ciost, $65/month, is added to the gigabyte (gg) usage of $5/gg. (I'd prefer gb for gigabyte, but I'll stick with gg).
Together, they should be [tex]\leq[/tex] $85/month, thus we get:
$85 [tex]\leq[/tex] $65 + ($5)*gg
cual es el.producto 1/2 y 5/6
Answer:
5/12
Step-by-step explanation:
1/2 × 5/6 = 5/12
Step-by-step explanation:
can you write it in english
What is the value of x in the triangle?
[tex]cosec18°= \frac{perpendicular}{base} \\ cosec18°= \frac{25}{x} \\ \\ \ \: since: cosec18°=0.9511 \\ \\ 0.9511 = \frac{25}{x} \\ x = \frac{25}{0.9} = 26[/tex]
find the scale of each map: an actual distance of 50 km corresponds to 4 cm on the map.
Answer:
1 cm: 12.5 km
Step-by-step explanation:
Okay just find what the length of one cm equates to so
4/4=1
50/4=12.5
it's like making a unit measurement but yknow its scaling
so one cm (one unit in a way) equals 12.5 km.
Twenty-five friends share equally the cost of buying a $200 gift. How much money does each person contribute?
Answer:
Each friend contributes 8 dollars
Step-by-step explanation:
200 ÷ 25 = 8 dollars
so each friend contributes 8 dollars
Answer:
Each person contributes $8
Step-by-step explanation:
200/25= 8
A package of 4 pairs of insulated gloves costs $21.56. What is the unit price of the pairs of gloves?
Answer:
Your answer is $5.39.
Step-by-step explanation:
There are 4 pairs of gloves. The unit price is only for a single pair of gloves, so divide the total cost by the pairs of gloves to get your answer: 21.56 ÷ 4 = 5.39. (Also, since we are talking about money, there would be a dollar sign next to 5.39: $5.39)
10 points to whoever can answer this!
Answer:
A
Step-by-step explanation:
The answer is A, because with absoulute value, the negative number will become positive. So positive 16 is obviously a bigger number than positive 4.
Have a great day friend! :D
x + 3y = 5
x + 2y = 3
Solve by using elimination
Answer:
(x, y) = (-1, 2)
Step-by-step explanation:
The variable x has the same coefficient in both equations, so we can eliminate x by subtracting one equation from the other. We notice the y-coefficient is greater in the first equation, so we want to subtract the second equation. This will ensure that the remaining y-term has a positive coefficient. (That is not required by the elimination method, but it helps reduce mistakes.)
(x +3y) -(x +2y) = (5) -(3)
y = 2 . . . . . . . simplify
x =3 -2y = 3 -2(2) = -1 . . . . . use the second equation to find x
The solution is (x, y) = (-1, 2).
Two sides of a triangle are 6 cm and 8 cm long. What can be the length of its third side.(Write all the possible lengths)
explain.............................................................
Answer:
Let the. length of 3rd side of a ∆ be x.
x>(8–6) cms. and. x <(8+6) cms.
or. x > 2 cms. and. x < 14 cms
or. 2 cms < x < 14 cm
Step-by-step explanation:
find the answer here
solve pls brainliest
Please help and provide work please
Complete the proof:
Explanation:
Statement . . . . Reason
1. AE ≅ CE, AB CD, E is the midpoint of BD . . . . Given
2. BE ≅ DE . . . . definition of midpoint
3. ΔEAB ≅ ΔECD . . . . SSS congruence postulate
Lilly wants to buy a tablet that costs $88.00. Her dad said that he would pay 25% of the cost. How much money will her father contribute towards the tablet? What is the proportion?
Answer:
22 dollars
Step-by-step explanation
If you multiply 88* the percent you will get 22. That means that Lily's dad will contribute 22 dollars to buying her tablet.
Identify the sampling method used:
A random sample of 10 people from each of three different age categories were selected and asked how they would rate a new television show.
Using sampling concepts, it is found that a Stratified sample was used.
Samples are classified as:
Convenient: Drawn from a conveniently available pool.Random: All the options into a hat and drawn some of them.Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified: Also divides the population into groups. However, only some elements of each group are surveyed.In this problem, the population is divided into groups, according to the three different age categories, and then 10 people from each category is selected(that is, not all members), hence it is a stratified sample.
A similar problem is given at https://brainly.com/question/23106151
Help will give brainiest as long as you explain and theres more than 2 people who answered.
Answer:
x = 117º
Step-by-step explanation:
Supplement to 117 is
180 - 117 = 63
The angle below line BC is marked as congruent to the 63º angle and is therefor also 63º
Therefor x is the supplement to 63º
180 - 63 = 117º
x = 117º
Which expression is equal to 13/14?
-13/14
-13-14
-14-13
-14/13
Answer:
13/ 14 the first one
Step-by-step explanation:
Graph the equation 3x-5y=15
Answer:
sorry don't know but thanks for the coins bro
Step-by-step explanation:
because im broke and need answers to man i going to use the coin for good thanks again find somebody else
Answer:
5y= 3x-15
This is the equation of the graph in slope intercept form: y=3/5x-3
Here is the graph for it:
Hello kind people I will be handing A brain-list
The Chang family is on their way home from a cross-country road trip. Their starting destination is 2,280 miles from their home. The Chang family can expect to decrease the distance from their home by 60 miles per hour.
Part A: Based on the information provided, write the function d(t) that represents the family's distance (in miles), d, from home after t hours of driving.
Part B: If rate at which the Chang family travels home continues at the same rate, determine the value of d(15) and describe what it means in reference to the situation.
Answer: d is 15 hrs
Step-by-step explanation:
Just substitute 15 in for t in 2280-60t and evaluate to get D(15)
D(15) is how many miles left to drive to get home after 15 hours
I don't know if this is 100% correct but I tried
Ahhhhhh please help me!!
Answer: chrome
Step-by-step explanation:
new tab then search it up
3. Which of the following is true for a rigid motion?
A The preimage and the image have the same measurements.
B The preimage is larger than the image.
The preimage is smaller than the image.
D The preimage is in the same position as the image.
What is the volume of this triangular prism?
Answer:
576 cm squared
Step-by-step explanation:
Help it’s confusing please
Answer:
She had $150 in the beginning before she bought the swimming items.
Step-by-step explanation:
You have the right numbers for the equation but you also times the money she had in total.
The equation is x-3(44)=18
44 is the total for one daughter and you times that by three to get for three duaghters.
Then you multiply -3 and 44 which is -132.
Which would be x-132=18
Now you would move -132 to the other side which would be +132 →x=18+132
x=150
count the following atoms
NEED ANSWER ASAP
Answer:
30
Step-by-step explanation:
There are 5 Zn atoms, 5 S atoms and 20 O atoms. In total, you have 30 atoms.
Answer:
30
Step-by-step explanation: