Answer:
a.
Step-by-step explanation:
Bearings Problem Solving Question:
From a lighthouse two boats can be sighted. Boat 1 on a bearing of 60° at a distance of 2km and Boat 2 on a bearing of 340° at a distance of 3km.
a) If Boat 1 is in need of assistance, what bearing would Boat 2 need to travel on to reach it?
b) Assuming Boat 1 does not move, how far would Boat 2 have to travel?
9514 1404 393
Answer:
a) 123.4°
b) 3.3 km
Step-by-step explanation:
In (N, E) coordinates, Boat 1 is located relative to the lighthouse at ...
2(cos(60°), sin(60°)) = (1.0, 1.732) . . . . . km
Boat 2 is located at ...
3(cost(340°), sin(340°)) = (2.819, -1.026) . . . . . km
So, relative to Boat 2, Boat 1 is located at ...
(1, 1.732) -(2.819, -1.026) = (-1.819, 2.758) . . . . . km
This is at a bearing of ...
arctan(2.758/-1.819) = 123.4°
and a distance of ...
√(1.819² +2.758²) ≈ 3.304 . . . . . km
a) Boat 2 would need to travel on a bearing of 123.4°.
b) Boat 2 would need to travel 3.3 km.
_____
Additional comment
We use (North, East) coordinates so we don't have to do the mental gyrations necessary to translate to and from (E, N) coordinates. The latter would correctly orient a map relative to the X-Y Cartesian plane. The former are equivalent to flipping the map over and looking at it from the back side. This is a "rigid transformation", so angles and distances remain unchanged.
Number of minutes Number of bacteria
1 1
2 4
3 9
4 16
how many bacteria will there be after 20 minutes? Explain your answer please
1. If you multiply 6 by 1/4 will your answer be greater or less than 6. How do you know?
Answer:
less than 6
Step-by-step explanation:
when you multiply a number by a fraction less than 1 you are calculating a portion of that number so you get a result smaller.
24, 12, 10, 15, 10, 22, 12
mean:
median:
mode:
range:
3) 14, 9, 20, 5, 17, 13
mean:
15
median:
mode:
range:
4) 21, 15, 16, 25, 13, 18
mean:
median:
mode:
range:
5) 20, 17, 10, 31, 25, 18, 12
mean:
median:
mode:
range:
Answer:
ok
Step-by-step explanation:
7mean
12median
12mode
14range
15 range
no mode
13.5median
13mean
range 12
18 mean
17 median
no mode
no mode
19 mean
18 median
21 range
PLEASE HELP!! ILL GIVE YOU BRAINLIEST
Answer:
x = 3.33
y = -2
Step-by-step explanation:
x(4) + 7 = 20
4x +7-7 = 20-7
4x = 13
x = 3.33
(y+7)(4) = 20
y+7 = 20/4
y+7 = 5
y = -2
need more help on this question
Answer: 79
Step-by-step explanation:
6 ÷ 3 + 9 x² - 4=79
PLEASE HELP ME ASAP!
The difference between three times a number and the sum of twelve squared plus ninety-two equals five hundred fourteen.
Answer:
Number = 250
Step-by-step explanation:
Let x = "a number"
Difference means subtraction:
3x - (12^2 + 92) = 514
3x = "three times a number"
12^2 + 92 = "the sum of twelve squared and ninety two"
Solve from there.
What is the simplified algebraic expression?
4x – 5
–8x – 5
–8x + 10
–8x – 10
Help pls dont answer if you don’t know also ill give brainliest
Answer:
equation: 3x+4 = 31
x = 9
Step-by-step explanation:
1. -2x+5x = 3x
2. 3x + 6 - 2
3. 6+-2 = 4
4. 3x+4 = 31
5. equation: 3x+4=31
6. 31-4 = 27
7. 3x=27
8. 27/3 = 9
9. x= 9
what is 2 ½ divided by ⅘
Answer:
Step-by-step explanation:
2.5(2 1/2) / 0.8(4/5)
= 3.125Hope this helped!!
4(x+4)+2x=52 please help lol
Answer:
x=6
Step-by-step explanation:
Given: 4(x+4)+2x=52
Distribute.
4x + 16 + 2x = 52.
Simplify.
6x + 16 = 52.
Subtract 16 on both sides to isolate out the variable.
6x = 36
Divide.
x = 6
Answer:
x = 6
Step-by-step explanation:
first we distribute the 4 to the (x + 4) by multiplying 4 times each of those
4x + 16 + 2x = 52
Then, combine like terms:
6x + 16 = 52
then subtract 16 from both sides of your equation
6x = 36
then divide both sides by 6
x = 6
let me know if you have questions
Does anyone know what measure angle F is ??
Answer:
The angle of F is 30 :)))))))
What is the Pythagorean Theorem used for right triangles
Answer:
The Pythagorean theorem consists of a formula a^2+b^2=c^2 which is used to figure out the value of (mostly) the hypotenuse in a right triangle. The a and b are the 2 "non-hypotenuse" sides of the triangle (Opposite and Adjacent).
Answer:
Step-by-step explanation:
Used t find missing side angles when two sides are present. For example, if you have a short leg and a long leg, you can use the Pythagorean Theorem to find the hypotaneus and vse versa, using it to find the short or long leg if the other two are given.
What is the slope of the line that passes through the points (10, 2) and (19, 14) ?
Answer:
4/3
Step-by-step explanation:
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]= \frac{14-2}{19-10}\\\\=\frac{12}{9}\\\\= \frac{4}{3}[/tex]
PLEASE HELP FAST !!
What is the volume of the cylinder below?
A. 288 units
B. 324 units
C. 216 units
D. 432 units
The volume of the cylinder is 288π units²
How to find the volume of a cylinder?volume of a cylinder = πr²h
where
r = radiush = heightTherefore,
r = 6 units
h = 8 units
volume of the cylinder = π × 6² × 8
volume of the cylinder = π × 36 × 8
volume of the cylinder = 288π units²
learn more on volume here: https://brainly.com/question/12629046
#SPJ1
The table below lists some of the characteristics of the houses on Katrina’s street.
Characteristics of Homes For Sale on Katrina’s Street
Bedrooms
Acres of land
Sale price
Appraised value
Property tax
2
0.17
$230,000
$200,000
$1,220
2
0.20
$210,000
$220,000
$1,232
3
0.20
$275,000
$250,000
$1,400
4
0.24
$275,000
$275,000
$1,540
4
0.52
$360,000
$310,000
$1,736
4
0.75
$350,000
$320,000
$1,792
5
1.23
$375,000
$350,000
$1,960
Which relationship describes a function?
(bedrooms, sale price)
(acres of land, appraised value)
(sale price, bedrooms)
(appraised value, property tax)
Answer:
the answer is actually D
Step-by-step explanation:
this is for the the perso above .......
its ashamed what u do for points there r ppl out there that rlly need help :)
Answer:
D) got it on edge
Step-by-step explanation:
Need help on 10 and number 11
Answer:
Here are six common ones. Lack of sleep. Not getting enough sleep is perhaps the greatest unappreciated cause of forgetfulness. Too little restful sleep can also lead to mood changes and anxiety, which in turn contribute to problems with memory.Apr 18, 2020
Step-by-step explanation:
Here are six common ones. Lack of sleep. Not getting enough sleep is perhaps the greatest unappreciated cause of forgetfulness. Too little restful sleep can also lead to mood changes and anxiety, which in turn contribute to problems with memory.Apr 18, 2020
Here are six common ones. Lack of sleep. Not getting enough sleep is perhaps the greatest unappreciated cause of forgetfulness. Too little restful sleep can also lead to mood changes and anxiety, which in turn contribute to problems with memory.Apr 18, 2020
How many tonnes is 1555kg
1.555 tonnes I think
2^2 x 3^4 x 2^5/ 9 x 4^2
Answer:
Please refer to the attachment
Hope it helps
Please mark me as the brainliest
Thank you
Store A sold 330 boxes of candy.Store B sold 14% more boxes than store A.What's the total number of boxes that Store B sold?
Answer:
376
Step-by-step explanation:
What does the remainder tell you about the
relationship between the dividend and the divisor when dividing polynomials?
Answer:
The remainder is the number left when you completely divide out your number to its max (Dividend = Divisor × Quotient + Remainder)
Step-by-step explanation:
I hope this helped
what is the value of x if 85 + 19x
Answer:
we dont know what the equation equals yes im using this for free points im having a compition with my friend so ty im srry if i offended you
Step-by-step explanation:
A sport bag used to cost $40, then the store decides to change the cost to $52. What is the mark up? Write your answer like this 00% but instead of zeros, put the percent you found.
Answer:
Step-by-step explanation:
Use the given functions to set up and simplify
40=
52=
0%=0
find the measure of angle 6
Answer:
∠6 = 125°
Step-by-step explanation:
__________________________________________________________
FACTS TO KNOW :-
When any 2 lines intersect each other at any point , the vertical angles are always equal to each other .
__________________________________________________________
According to the figure ,
∠6 is present vertically opposite to the angle whose measure is 125°.
∴ Hence ∠6 = 125°.
helpppppp please.....
Answer:
124
Step-by-step explanation:
42+82=? (ext ∠'s of triangle equal to int opp)
42+82= 124°
SOMEBODY HELP ME PLZ!!!!
Answer:
The Answer is c
Step-by-step explanation:
This is because the bus can hold up to 40 people so 0 to 40
which means that the least amount of people on the bus would be 0 and the most amount of people on the bus would be 40 so 0 < x < 40
Laura scored a nine, eight, ten, and seven on her first four math tests. Assuming that the perfect score is ten, what score must she get on her fifth test to have total of at least 42 points?
5. What method can be use to prove the triangles below are congruent?
(look at photo for answer options)
Answer:
Congruent by HL
Step-by-step explanation:
I know this, im doing it in integrated math
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
Explain why the triangles are similar. Then find the value of x.
Answer:
well u can find triangles in the shape and they are the same shape just smaller
Step-by-step explanation:
combine like terms
3x+4x= 7x
14-1= 13
then divide by 7
1.85(keep going) i think THINK this is right im sorry if it isn't
Divide using "keep change flip": *
5
3
3
2
3 7/9
3 8/9
4 1/9
4 2/9
HELP!