1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
slega [8]
3 years ago
9

The locations, given in polar coordinates, for two ships are (8 mi, 63º) and (8 mi, 123º). Find the distance between the two shi

ps.
Mathematics
2 answers:
Anna35 [415]3 years ago
5 0
We know that

The arrangement forms an isosceles triangle with equal legs of 8 miles.
The angle between the legs is equal to

123-63=60°

 Therefore, the other two angles are
Angles = (180-60)/2 = 120/2 = 60°
It can, therefore, be noted that all angles are equal and thus the resulting triangle is actually an equilateral triangle and thus all the sides are equal.

Hence
the answer is
the distance between the two ships is 8 miles apart

alternative Method
Applying the law of cosines
<span>c²=a²+b²-2*a*b*cos C
</span>where
a=8 miles
b=8 miles
C is the angle between the legs-------> 123-63------> 60 degrees
c is the distance between the two ships
so
c²=8²+8²-2*8*8*cos 60------> c²=64-------> c=√64------> c=8 miles


zhenek [66]3 years ago
4 0

Answer:

A

Step-by-step explanation: believe me or not i dont really care

You might be interested in
Sam Houston's Arms
OLga [1]

Answer:

The length of the statue's arm is<u> 26.22 ft.</u>

Step-by-step explanation:

Let the length of the statue's arm be 'x'.

Given:

Height of statue is, H=67\ ft

Height of male is, h=5\ ft\ 9\ in=5\ ft+\frac{9}{12}\ ft=5+0.75=5.75\ ft

Length of the male's arm is, l=27\ in=\frac{27}{12}=2.25\ ft

Now, as the size of Sam Houston's statue is proportional to that of an adult male, therefore, their heights and arm lengths will also be in proportion. So,

\frac{H}{h}=\frac{x}{l}\\x=\frac{H}{h}\times l

Now, plug in the given values and solve for 'x'.

x=\frac{67}{5.75}\times 2.25\\x=26.22\ ft

Therefore, the length of the statue's arm is 26.22 ft

7 0
2 years ago
Please help and thx <br> .
alex41 [277]

Answer:

n=o

Step-by-step explanation:

3 0
2 years ago
2x^2-3x-9 please help
Romashka-Z-Leto [24]
Im assuming you mean 2x^2-3x-9=0 ?
If so, you have to factorise the equation
(2x-3) (x+3) = 0

2x - 3 = 0
2x = 3
x = 1.5

x + 3 = 0
x = -3

x is either 1.5 or -3

8 0
3 years ago
Read 2 more answers
Round 5294 to the nearest hundred
sleet_krkn [62]
It would be 5300 when rounded
5 0
2 years ago
Stephen &amp; Richard share a lottery win of £2950 in the ratio 2 : 3. Stephen then shares his part between himself, his wife &a
horsena [70]

Answer:

Stephen's wife got £354 more than his son.

Step-by-step explanation:

Given:

Amount of Lottery = £2950

Now Given:

Stephen & Richard share a lottery amount in the ratio 2 : 3

Let the common factor between them be 'x'.

So we can say that;

2x+3x=2950\\\\5x = 2950

Dividing both side by 5 we get;

\frac{5x}{5}=\frac{2950}{5}\\\\x = 590

So we can say that;

Stephen share would be = 2x =2\times 590 = \£1180

Now Given:

Stephen then shares his part between himself, his wife & their son in the ratio 3 : 5 : 2.

Let the common factor between them be 'y'.

So we can say that;

3y+5y+2y=1180\\\\10y=1180

Dividing both side by 10 we get;

\frac{10y}{10}=\frac{1180}{10}\\\\y=118

So Stephen's wife share = 5y = 5\times 118= \£590

And Stephen's son share = 2y=2\times118 =\£236

Now we need to find how much more her wife got then her son.

To find how much more her wife got than her son we will subtract Stephen's son share from Stephen's wife share.

framing in equation form we get;

Amount more her wife got than her son = 590-236 = \£354

Hence Stephen's wife got £354 more than his son.

3 0
3 years ago
Other questions:
  • How do you write the equation 3x - 2y = -16 into slope-intercept form
    11·1 answer
  • Factor this: a^n+a^n+1
    10·1 answer
  • Mr. Gonzalez built two identical flower beds in his yard with the dimensions shown. A prism has a length of 6 feet, height of 2
    6·1 answer
  • For each function, do the following: a) state the name of the function, b) identify the independent and dependent variable, c) i
    5·1 answer
  • Timothy spends 2.4 hours doing his homework. He did Math, English, History, and Social studies in the ratio 2:2:3:1. How much ti
    8·2 answers
  • Balloon A is charged, and balloon C is charged. If balloon A approaches balloon C, there’ll be a force of between them.
    11·1 answer
  • Please help i'm struggling with this!It's urgent!
    6·2 answers
  • Can someone please help me find the range
    11·1 answer
  • A ball kicked a distance of 20 meters on Earth would travel 2 13/20 times farther on Mars. On Phobos, the ball would travel appr
    15·1 answer
  • The cost for renting a car is $29.00 a day plus $0.29 for every kilometre after the first 100 km. what is the cost of renting a
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!