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
Degger [83]
3 years ago
7

URGENT PLEASE ANSWER To find the distance across a river, a surveyor chooses points A and B on one side of the river. She then c

hooses a reference point C on the opposite side of the river and finds the following measurements:
AB=100 m∡A=47∘∡B=82∘
Find the distance from point A to point C. Enter just the numerical value of the answer - do not include "AC=" or any units - and round your answer to the nearest tenth.
Mathematics
1 answer:
Rus_ich [418]3 years ago
4 0

Answer:

The distance between A and C = 127.4

Step-by-step explanation:

* We have 3 different points A , B , C lets consider them as

 a vertices of a triangle ABC

- AB = 100

- m∠A = 47°

- m∠B = 82°

* To find the distance AC we can use the sin Rule

- In any triangle the ratio between the length of each side

 to the measure of each opposite angle are equal

- In Δ ABC ⇒ AB/sinC = BC/sinA = AC/sinB

* Lets do it to find the distance between A and C

∵ m∠A = 47° and m∠B = 82°

∵ The sum of the interior angles in any triangle is 180°

∴ m∠C = 180 - (47 + 82) = 180 - 129 = 51°

∵ AC/sin(82) = 100/sin(51)

∴ AC = 100 × sin(82) ÷ sin(51) = 127.423691

* AC = 127.4

You might be interested in
Write down the two inequality equations that go with this graph below:
Simora [160]

The RED or Pink inequality equation is: y ≥ -3/2x - 5

The BLUE inequality equation is: y ≥ -1/2x - 3.

<h3>How to Write the Equation of an Inequality?</h3>

Once you know the slope (m) and y-intercept (b), in slope-intercept form y "inequality sign" mx + b, the inequality equation can be written.

Inequality equation for the Blue Line:

Find the slope (m) using the points (-2, -2) and (0, -3)

Slope (m) of the blue line = change in y/change in x = (-2 -(-3))/(-2 - 0)

Slope (m) of the blue line = 1/-2

Slope (m) of the red/pink line = -1/2

The y-intercept (b) for the red/pink line is: -3 (the value of y when x = 0).

We can use any possible inequality sign to state an inequality equation that go with the graph.

Substitute m = -1/2 and b = -3 into y ≥ mx + b:

y ≥ -1/2x - 3.

Inequality equation for the red/pink Line:

Find the slope (m) using the points (-2, -2) and (0, -5)

Slope (m) of the red/pink line = change in y/change in x = (-2 -(-5))/(-2 - 0)

Slope (m) of the red/pink line = 3/-2

Slope (m) of the red/pink line = -3/2

The y-intercept (b) for the red/pink line is: -5 (the value of y when x = 0).

Substitute m = -3/2 and b = -5 into y ≥ mx + b:

y ≥ -3/2x - 5

In conclusion, we have:

The RED or Pink inequality equation is: y ≥ -3/2x - 5

The BLUE inequality equation is: y ≥ -1/2x - 3.

Learn more about the inequality equation on:

brainly.com/question/11234618

#SPJ1

6 0
2 years ago
Pls give answer for 9c thanks
harina [27]

Answer:

probability for 3 on a dice (P3) in one dice =

\frac{1}{6}

probability for even no. of a dice (Pe) =

\frac{3}{6}  =  \frac{1}{2}

Therefore, the probability of finding 3 on one dice and even on another (P) = P3 + Pe

=  \frac{1}{6}  +  \frac{1}{2}  =  \frac{1 + 3}{6}  =  \frac{4}{6}  =  \frac{2}{3}

7 0
1 year ago
7.6x = 64 is approximately 3.05.<br> is this the solution?
lisov135 [29]
7.6x = 64
x = 64/7.6
x = <span> <span> <span> 8.4210526316 </span> </span> </span>
So, 3.05 is NOT the solution

3 0
3 years ago
Find lim h 0 f(2+h)-f(2)/ h if(x)=x^ 2 .
jonny [76]

Answer:

4

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
PLeaSe HeLP!!! aSaP!!! WiLL MaRK BRaNLieST!!! Find all possible values of the digits Y, E, A, R if YYYY - EEE + AA - R = 1234, a
noname [10]

Answer:

Y = 2

E = 9

A = 1

R = 0

Step-by-step explanation:

2222 - 999 + 11 - 0 =1234

8 0
3 years ago
Other questions:
  • PLZZZ HELP I WILL GIVE BRAINLEST ON A TIMER
    15·2 answers
  • 30 ft
    14·2 answers
  • Find the relative minimum of<br> y = 3x^3 + 14x^2 - 11x - 46<br><br>(___, ___)​
    11·1 answer
  • Given sin A =11\61 and that angle A is in Quadrant I find the exact value of tan A in simplest radical form using a rational den
    13·1 answer
  • I need help!! It is due today!! It’s Geometry !!!
    15·1 answer
  • Find the value of x
    15·1 answer
  • There are 25 trees on the Jackson’s property. Twenty percent of the trees are oak trees. Which equation can be used to find the
    10·1 answer
  • Answer plzzz!!!!!!!!!!!
    8·1 answer
  • Help please with these questions
    5·1 answer
  • a researcher wants to examine the relationship between fat and calories in fast food. data was analyzed using linear regression.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!