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
schepotkina [342]
3 years ago
14

Ship A and Ship B are 120 km apart when they pick up a distress call from another boat. Ship B estimates that they are 70 km awa

y from the distress call. They also notice that the angle between the line from ship B to ship A and the line from ship A to the distress call is 28°. What are the two possible distances, to the nearest TENTH of a km, from ship A to the boat?
Mathematics
1 answer:
oksian1 [2.3K]3 years ago
5 0

Answer:

147.5 km and 64.4 km

Step-by-step explanation:

a=120  km

b=70  km

β=28 degrees ( ∘)

 

b^2=(a^2)+(c^2)−2ac*cosβ  

70^2 =(120^2 )+(c^2)−2⋅ 120⋅ c⋅ cos(28∘ )  

 (c^2 ) −211.907c+9500=0  

 

note p, q, and r are replacement variables in the Pythagorean theorem since a, b, and c are already in use

p=1;q=−211.907;r=9500  

D=(q^2 ) −4pr=(211.907^2 )−4⋅1⋅9500=6904.75561996  

D>0  

 

c_{1,2}  =   (−q±  \sqrt{D}   )/2p=(211.91±\sqrt{6904.76})/2

​c_{1,2}  =105.95371114±41.5474295834  

(c_{1}−147.501140726)(c_{2}−64.4062815596)=0

c_{1}=147.501140726  

c_{2}=64.4062815596  

You might be interested in
Which of the following is a solution of 4x2 = − 9x − 4?
Arte-miy333 [17]

Step-by-step explanation:

4x2=−9x−4

Step 1: Subtract -9x-4 from both sides.

4x2−(−9x−4)=−9x−4−(−9x−4)

4x2+9x+4=0

For this equation: a=4, b=9, c=4

4x2+9x+4=0

Step 2: Use quadratic formula with a=4, b=9, c=4.

x=

−b±√b2−4ac

2a

x=

−(9)±√(9)2−4(4)(4)

2(4)

x=

−9±√17

8

x=

−9

8

+

1

8

√17 or x=

−9

8

+

−1

8

√17

8 0
3 years ago
17/19 is equal to what fraction A 80/95 B 43/57 C 50/57 D 85/95
Vadim26 [7]

Answer:

D 85/95

Step-by-step explanation:

17/19

Multiply the top and bottom by 3

17/19 *3/3 =51/57

Multiply the top and bottom by5

17/19 *5/5 =85/95

7 0
3 years ago
Read 2 more answers
There is a circular fountain with a diameter of 16 feet. There is a walkway that is 3 feet wide that goes around it. What is the
Sergio039 [100]

Answer:

82.47

Step-by-step explanation:

area of fountain: 201.06(see photo 1)

area of fountain and walkway:283.53(see photo 2)

area of walkway:82.47(subtract fountain area from fountain and walkway)

7 0
3 years ago
Write all the factors of 24:
DerKrebs [107]
The factors are just numbers that can be multiplied to receive the number that is given.

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24.

1 × 24 = 24
2 × 12 = 24
3 × 8 = 24
4 × 6 = 24
7 0
3 years ago
Read 2 more answers
The measure of angle R is 148° and the measure of angle S is 85°, find the measure of angle T.
Talja [164]

so you have a 148+85+85=318, 360-318=42 is the measure of angle T because all four angles together make 360



8 0
3 years ago
Other questions:
  • The three vectors a b c point from the origin o to the three corners of a triangle use results of problem 1.18 to show that the
    12·1 answer
  • Helppppppppppppppppppppppppppppppppppppppppp
    11·1 answer
  • jason is training for a marathon bike ride. His average speed increase from 3 miles per hour to 6 miles per hour in 3 months fin
    9·1 answer
  • Answer this please!!!!
    12·1 answer
  • Multiply and simplify : (4x -3)(-2x+1)​
    15·1 answer
  • Two equations are given below:
    13·1 answer
  • What is 1 + 1 x 1 -1 / 1 ?
    7·2 answers
  • What does tan 21= 9/x
    9·1 answer
  • An angle with its vertex at the center of a circle intercepts an 80° arc of that circle.
    11·1 answer
  • A man mixed 2 teaspoons of sugar into his large coffee but then added one more teaspoon of sugar because it was not sweet enough
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!