Answer:
The distance from A to B is approximately 67.5 km
The bearing of B from A is approximately 86.89°
Step-by-step explanation:
i) The distances and the bearing of the motion of the ship is given as follows;
The distance the ship sails on a bearing of 048° = 30 km
The distance further the ship sails on a bearing of 110° = 42 km
From the drawing of the sailing of the ship created with Microsoft Visio, we have;
∠C = 48° + 70° = 118°
By cosine rule, we have;
c² = b² + a² - 2·b·a·cos(∠C)
From which we have;
c² = 30² + 48² - 2 × 30 × 48 × cos(118°) ≈ 4,556.07810082
c ≈ √(4,556.07810082) ≈ 67.5
The distance from A to B = c ≈ 67.5 km
ii) By sine rule, we have;
a/sin(A) = b/sin(B) = c/sin(C)
∴ sin(A) = a·sin(C)/c
Substituting the values of the variables gives;
sin(A) ≈ 48·sin(118°)/67.5
∠A ≈ arcsin(48·sin(118°)/67.5) ≈ 38.89°
Therefore, the bearing of B from A ≈ 48 + 38.89 = 86.89°.
a las 8 a.m un termómetro marcaba -3 grados centígrados 4 horas después la temperatura subió a 5 grados centígrados y 7 horas después bajó 8 grados centígrados Qué temperatura marca un termómetro a las 7 pm
-3+5-8= -6
Rsps: temperatura -6
Carmen made 270$ for 18 hours of work.
At the same rate, how many hours would she have to work to make 165$?
Answer:
11 hours
Step-by-step explanation:
270/18=15 per hour
so 165/15 = 11
Answer:
11 hours
Step-by-step explanation:
270:18 simplified is 15:1
165/15 = 11
Hope this helps!
The width of a rectangle is the length minus 6 units. The area of the rectangle is 27 units. What is the length, in units, of the rectangle?
Answer:
l = 9
Step-by-step explanation:
Create equations w = l - 6, A = 27, so A = l (l-6) so 27 = [tex]l^{2}[/tex] - 6l
so [tex]l^{2}[/tex] - 6l - 27 = 0, by factoring (l-9)(l-3) = 0 so l = 9 or l = 3 since the width can't be negative then l has to be 9 so that w = 9-6 = 3, so width = 3 and l = 9
The ratio of ducks to ducklings at a park is 7:4. If there are 350 ducks, how many ducklings are there
Answer:
200 duckings (350:200)
Step-by-step explanation:
7:4 and 350:x
350/7 = 50
40 times 50 = 200
350:200
Plus, 350/50 = 7
200/50 = 7
The solution is, 200 ducklings (350:200) ducklings are there.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
here, we have,
given that,
The ratio of ducks to ducklings at a park is 7:4.
If there are 350 ducks,
let , x ducklings are there
so, we get,
7:4 and 350:x
now,
350/7 = 50
and,
40 times 50 = 200
so, we have,
350:200
Plus, 350/50 = 7
200/50 = 7
Hence, The solution is, 200 ducklings (350:200) ducklings are there.
To learn more on ratio click:
brainly.com/question/13419413
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Legs = 20 mm and 27 mm
a? + b2 = c2
2 points
YOUR QUESTION:
6
20 mm
27 mm
Answer:
a=18.1 or √329
Step-by-step explanation:
a²+b²=c²
a²+20²=27²
a²+400=729
a²=329
a=18.1 or √329 depending on what form you are answering in, radical or decimal.
Question 6 (1 point)
Write an equation of a circle that is centered at (1,-4) with a radius of 10.
Answer:
The equation is (x-1)*2 + (y + 4)*2
The * is the little two that the top so its squared if that makes sense
2 ( 4x - 3)-8= 4 + 2 x
Answer:
x=3
Step-by-step explanation:
1st distribute
8x-6-8=4+2x
2nd add
8x-14=4+2x
3rd move like terms
8x-2x=4+14
4th add the numbers
6x=18
5th divide both sides by 6
6x/6=18/6
x=3
Which one shows graph of the fuction f(x)=x+2
Answer:
A
Step-by-step explanation:
What is the right answer I do t know it
Answer:
the answer to what?
Step-by-step explanation:
Please help! It would be appreciated ! :)
Step-by-step explanation:
(x-9)²
= (x-9)(x-9)
= x²-9x-9x+81
= x²-18x+81
Which fraction have the same value as -1/4
- -1/-4
-1/-4
-1/4
- -1/4
1/-4
Solve for
Help me please
Answer: The first one: 2 square roots of 3
Step-by-step explanation:
4/2 would give you the base= 2
2x the square root of 3 would give you the height, or altitude.
2 square roots of 3
Help me with this pls be honest I will mark the best answer
answer:
**the answer is the picture**
i plotted the dots in the order they're in on the chart
(the x axis is the time and the y axis is the distance)
so you would plot (1,4) which is the equivalent to time=1 distance=4
next (2,8) then (3,12) and lastly (4,16)
good luck :)
hopefully, this helps
**i tried my best**
have a great day !!
Find the area of the parallelogram.
Can someone plz help and hurry.
Answer:
A. Blueberry
Step-by-step explanation:
Yolanda writes checks for $59 and $43. She also deposits$50 in her checking account. What integer represents the change in the number of dollars in Yolanda’s checking account?
Answer:
15
Step-by-step explanation:
Using the data in the table, on which interval is the function
increasing?
A)2
B) 0
C) -1 < x < 0
D) -3 < x < -1
Answer:
B
yuueg7wggssee drduuygeddy jrjwd ff
can someone please help
instructions: identify the slope and Y- intercept from each equation. make sure that the equation is in slope intercept form. you may leave any functions as simplified improved fractions.
Answer:
ab. y interecept 678
slope -33333
Step-by-step explanation:
Help me on this plz
Answer: $467.21
Step-by-step explanation:
8% of 600 = 48
600 - 48 = 552
8% of 552 = 44.16
552 - 44.16 = 507.84
8% of 507.84 = 40.6272
8% of 507.84 ≈ 40.63
507.84 - 40.63 = 467.21
3. What is the sum of the angle measures of the quadrilateral?
Answer:
360 degrees is the answer
Help please..................
Answer:
C. 12
Step-by-step explanation:
To change triangle PQR to XYZ you divide by 4. This can be seen in the change from 12 to 3 on the left side of the triangle. So, you divide 20 by 4 and get 5 and then divide 16 by 4 and get 4.
12/4=3
20/4=5
16/4=4
So, you add these values together to get the perimeter of 12.
I hope this helped!
Pls help me if your good at math I’ll mark brainliest
0.043 x 10^3=
Can you please answer!!!!
Answer:
43
Step-by-step explanation:
Jill's front door is 42 wide and 82 tall. She purchased a circular table that is 96 inches in diameter. Will the table fit through the front door???
Answer:
Step-by-step explanation:
Answer:
yes because 42+82 is greater than 96
it will just about fit through the door
hope this helps! :)
I need an answer please
Answer:
Step-by-step explanation:
[tex]A=P(1+r/c)^{ct}\\ \\ A=3192(1+0.1)^{4(3)}\\ \\ A=\$ 3596.83[/tex]
A graph titled Monthly Sales and Advertising Costs has Advertising Costs (1,000 dollars) on the x-axis and sales (1,000 dollars) on the y-axis. A line goes through points (6.4, 117) and (6.6, 120). The slope of the trend line is 15. What does that mean in regard to the data of the scatterplot? Check all that apply. The slope represents the rate of change of the data. Advertising costs increase $15,000 as sales increase by $1,000. Sales increase $15,000 as ads increase by $1,000. A positive slope infers a negative correlation. A positive slope infers a positive correlation.
The data in the scatterplot on monthly sales and advertising costs, show that:
The slope represents the rate of change of the data. Sales increase $15,000 as ads increase by $1,000.A positive slope infers a positive correlation.What can be inferred from the graph on Monthly sales?In a linear model, the slope is used to depict the change in the value of y as a result of a change in x. If this slope is positive, then there is a positive relationship between the y and x values.
In this scenario, the slope is positive which shows that there is a positive relationship between sales and advertisements such that they both increase together.
Find out more on linear model slopes at https://brainly.com/question/14035784.
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Need Help plz Help will get brainliest
Answer:
Pretty sure it'll be -1° Fahrenheit
Answer: -1 Farenheit
Step-by-step explanation: I first counted how many hours till 5 pm and I got 7 hours so I multiplied 7 by 2 and got 14 and then I did -15+14 which equals -1 Farenheit.
Twins were born at a hospital, and each weighs the same amount. The total weight of both babies is 12 pounds 14 ounces. How many ounces does one of the twins weigh?
Answer:
7 ounces
Step-by-step explanation:
12 pound 14 ounces divided by 2 gives 6 pounds and 7 ounces so ur answer is 7 ounces
what is the answer to that?
Answer:
the correct answer to your question is A:38
Step-by-step explanation:
this math is pretty basic, all you have to do is subtract 90-54 and you get 38.
the angle you are working with is a 90 degree angle and it gives you one part of the whole angle that is split into two parts. one part is 54 and the other is 38 making 90.
Sofia is a construction manager.She builds 9 house frames, each at a different site. Each frame uses 256 beams. A bundle of 400 beams delivered to each site. How many beams dose it take to build the 9 house frames? How many beams are left over at 9 house sites altogether
Answer:
2304 beams
1296 beams
Step-by-step explanation:
Total beams to be used in the 9 houses = number of frames needed for a beam x total number of house frames
9 x 256 = 2304
Total beams left over = total number of beams delivered to the 9 houses - total number of beams to be used in the 9 houses
total number of beams delivered to the 9 houses = 400 x 9 = 3600
3600 - 2304 = 1296