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
Inessa05 [86]
3 years ago
14

Points A and B are on opposite sides of a lake. A point C is 105.6 meters from A. The measure of ∠BAC is 70.5°, and the measure

of ∠ACB is determined to be 38.833°. Find the distance between points A and B (to the nearest meter).
Mathematics
1 answer:
nignag [31]3 years ago
8 0

Answer:

= 70 Meters

Step-by-step explanation:

We can use the sine rule as follows:

Angle ABC=180-(70.5+38.833)

=70.667°

Using the sine rule and sides AB, AC and angles ABC and ACB:

b/Sin B=c/Sin C

Replacing with the values above we get:

AC/Sin ABC= AB/Sin ACB

105.6/Sin 70.667=AB/Sin 38.833

AB=(105.6 Sin 38.833)/Sin 70.667

=70.17 meters

The distance between the two points to the nearest meter is 70 meters

You might be interested in
Solve the equation. Show your work, or explain your reasoning.<br><br> -3x - 5 = 16
Pani-rosa [81]
First add 5 to 16, so -3x=21
then divide by -3, so the answer is
x= -7
3 0
2 years ago
A 99 ft length of wire is to be cut into 2 pieces, so that the longer piece is eight feet longer than six times the shorter piec
Serhud [2]

here's the solution,

let the length of shorter peice = x

then the lenght of longer peice = 6x + 8

now, we know that the sum of length of peices measures 99 feet,

So,

=》x + 6x + 8 = 99

=》7x = 91

=》x = 13

shorter piece length = 13 feet

longer peice length = 13 × 6 + 8 = 78 + 8 = 86 feet

5 0
3 years ago
Median of 5,4,6,3,4?
taurus [48]

Answer:

4

Step-by-step explanation:

3, 4, 4, 5, 6

7 0
2 years ago
Read 2 more answers
Help pls!!!!! Brainliest goes to first right answer
zepelin [54]

Answer:

96 inch²

Step-by-step explanation:

there are 2 shapes,

1. a square

2. a triangle

lets find the area of the square first,

<u>AREA = SIDE × SIDE</u>

= 8 × 8

= 64 inch²

now, area of triangle ,

area \:  =  \frac{1}{2}  \times base \:  \times height \:

=  \frac{1}{2}  \times 8 \times 8 \\  =  \frac{1}{2}  \times 64 \\  = 32 \:  {inch}^{2}

so, total area is :

area of square + area of triangle

= 64 + 32

= 96 inch²

7 0
3 years ago
Read 2 more answers
What are the similarities between the two lines
zaharov [31]
The first blank is proportional because <span>two quantities is one in which the two quantities vary directly with one and other. </span>If<span> one item is doubled, the other, related item is also doubled. Because of this, it is also called a direct variation. </span>
6 0
3 years ago
Other questions:
  • You have $16 and a coupon for a $5 discount at a local supermarket. A bottle of olive oil costs $7. How many bottles of olive oi
    14·2 answers
  • Write 2n^4 without Exponents
    7·2 answers
  • Is it possible to write the product of 42 with 2 even factors?
    10·1 answer
  • What's a Constant of 17?
    5·1 answer
  • What is the range of the function f(x) = 4 − 2(x + 3)^2?
    7·1 answer
  • • If the new image is smaller than the old image would
    8·1 answer
  • Attached screenshot please help
    8·1 answer
  • HELP!! ILL GIVE BRAINLESS Comparing Functions: Mastery Test
    11·1 answer
  • Write the first 5 composite numbers?​
    11·1 answer
  • Please Help due today
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!