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
Daniel [21]
3 years ago
7

A,B,C,D are 4 towns. B is 40 kilometeres due east of A. C is 30 kilometeres due north of A. D is 45 kilometeres due south of A.

Worko out the bearing B from C

Mathematics
1 answer:
Vesna [10]3 years ago
4 0

Answer:

Step-by-step explanation:

The diagram illustrating the scenario is shown in the attached photo.

We would determine angle ACB by applying the tangent trigonometric ratio which is expressed as

Tan θ = opposite side/adjacent side

Taking angle ACB as the reference angle,

Tan C = 40/30 = 1.33

Angle ACB = tan^-1(1.33) = 53.1°

The bearing is calculated with respect to the northern direction. Therefore, the bearing of B from C is

180 - 53.1 = 126.9°

You might be interested in
What adds to 10 and multiplies to -300
Anton [14]
X+Y=10
XY=-300

Solve for one of the variables

X=10-Y

Plug into the other equation

Y(10-Y)=-300

Now, you have a quadratic...

-y²-10y+300=0

I would multiply everything by -1, so there's no coefficient on y²

y²+10y-300=0

And solve...

-10±√(100-4(-300))
----------------------------
2

Y=-5±5√(13)

Plug back onto original equation...

X+(-5±5√(13))=10
X±5√(13)=15
X=15±5√(13)

Note: There are 2 sets of answers, keep the negatives with the negatives, and the positives with the positives when dealing with the ±.
8 0
4 years ago
One-half of a number is -12. Find the solution ???
Lynna [10]
<em>Let the number is n</em>

<em>it means that n÷2 = -12</em>
<em>multiplying both sides by 2, we get</em>

<em>n = -24 solution.</em>
8 0
3 years ago
Read 2 more answers
Is 2.4344344443 a rational number? True or false? please help :)
fgiga [73]
It is a Rational Number because it eventually ends.
7 0
3 years ago
What value of x will make AONM similar to ASRQ by
Dmitry [639]

Answer:

C. 25

Step-by-step explanation:

16, 20, 25, 50. SAS Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar. Therefore, the value of x is 25.

8 0
2 years ago
What are the prime factors of 700? A. 350 × 2 B. 2 × 2 × 2 × 5 × 5 × 7 C. 2 × 2 × 25 × 7 D. 2 × 2 × 5 × 5 × 7
S_A_V [24]
We can do this by the tree method. What I've done here is to divide each factor by prime numbers until we have only prime numbers left. For example the second level of the tree from the top has 350 and 2. This is because 750 = 2*350. the next level has 175 and 2 because 350 = 2*175. 

At the end we are left with the prime factors and find that 700 = 7*5*5*2*2

3 0
4 years ago
Other questions:
  • Suppose xy=2 and dy/dt=1. Find dx/dt when x=3
    11·2 answers
  • Did you make a larger u it at 377
    10·1 answer
  • Find the slope of the line through each pair of points
    14·1 answer
  • The triangles are similar.
    6·1 answer
  • (20 points) How can a solution to a system of linear equations be determined exactly by graphing?
    9·1 answer
  • If you get 2 imaginary answers when using the quadratic formula, how does this relate to how many times (0, 1 or 2) a quadratic
    11·1 answer
  • 7th grade easy math will give brainliest 20 points
    12·2 answers
  • 1) In a class of 30 children, 60% of the
    12·2 answers
  • Use the number line to find the sum of 1.5+(-5). A. -3.5 B.6.5 C.-6.5 D.3.5
    11·1 answer
  • suppose the theoretical probability of winning a prize in the carnival game 0.18 based on this probability how many more custome
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!