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
Reil [10]
3 years ago
10

BAC ~ DEC what is the value of x?

Mathematics
1 answer:
Anna007 [38]3 years ago
5 0

Answer: x = 37.8

Step-by-step explanation: We start with triangle ABC with two sides given as 15 and 18. We shall make angle C the reference angle and thereby calculate the third side, line BC.

Since we have the opposite side as 15, and the adjacent side (which lies between the reference angle and the right angle) as 18, we can use the tangent of the angle C

Tan C = Opp/Adj

Tan C = 15/18

Tan C = 0.8333

From our table of values/use of the calculator

Tan C = 39.8

Angle C in triangle ACB = Angle C in triangle ECD (Opposite angles are equal).

That takes us to triangle ECD, since the reference angle is known (39.8) and the opposite side is also given (31.5), we can now calculate the adjacent which is side x.

Tan C = Opp/Adj

Tan 39.8 = 31.5/x

when you cross multiply, x moves to the left hand side, while Tan 39.8 moves to the right hand side

x = 31.5/Tan 39.8

x = 31.5/0.8333

<u>x = 37.8</u>

You might be interested in
When a rate is simplifed so that it has a denominator of 1 unit, it is called a(n) ___________ rate.
dangina [55]

Answer:

called unit rate .

Step-by-step explanation:

6 0
3 years ago
Given the production function
pishuonlain [190]
The production function describes a boundary or frontier representing the limit of output obtainable from each feasible combination of inputs. The production function also gives information about increasing or decreasing returns to scale and the marginal products of labor and capital.
7 0
2 years ago
Jordan lives 6 kilometers due south of his parents' house and 4 kilometers west of his grandparents' house. On his birthday, Jor
rusak2 [61]

Answer:

Step-by-step explanation:

The direction of movement of Jordan on his birthday forms a right angle triangle. His movement from his house to his parents due south represents the opposite side of the right angle triangle. His movement due west represents the adjacent side and the movement back home along the straight line, d represents the hypotenuse. To determine d, we would apply the Pythagorean theorem. Thus

d² = 6² + 4² = 52

d = √52 = 7.2 km

The total distance that he drove on his birthday is

6 + 4 + 7.2 = 17.2 km

5 0
2 years ago
62+x=82<br><br><br> Does any one know this answer
Vladimir [108]

62 + x = 82

Subtract both sides by 62.

x = 20.

4 0
3 years ago
Read 2 more answers
Which equation is equivalent to 2x + 10 = 67<br> 2x = 4<br> x + 5 = 3<br> x + 10 = 3<br> 2x + 6 = 10
Julli [10]
Well, ....... X=57/2 or 28.5 but not are equivalent
6 0
3 years ago
Other questions:
  • The spoke of a wheel reaches from the center of the wheel to its rim. If the circumference of the rim of the wheel is 27 inches,
    14·1 answer
  • Which expression has a value that is equivalent to 5n + 13 when n=−5 ?
    14·1 answer
  • X3 - 7x,<br> f(x) = 8,<br> 2x + 3,<br> x &lt; -3<br> - 3 &lt; x &lt; 3<br> x &gt; 3
    5·1 answer
  • A crew is picking up chairs in the gymnasium after an event. After clearing 68 chairs from
    5·2 answers
  • How many solutions does the quadratic system shown below have ?
    13·1 answer
  • Katie bought 2 one gallon bottles for a party. Her guest drank 5/4 gallons of juice. What is the fraction of juice leftover? Sho
    13·1 answer
  • 2(x-8) + 4x = 6(x - 2) - 4
    15·2 answers
  • You have 7 times as many nickels
    5·2 answers
  • Value of x<br><br>30x=30-30​
    15·2 answers
  • Kindly solve this question
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!