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
The dimensions (width and length) of room1 have been read into two variables: width1 and length1. the dimensions of room2 have b
Reika [66]
Hello : 
<span>a single expression  is : A = xy +zk
x : </span> width1       y : <span>length1
z : </span>width2        k : <span>length2
A : </span><span>the total area of the two rooms
note : 
A1 = xy  ........</span>area of the room 1<span>
A2 = zk   </span>.......area of the room 2
3 0
3 years ago
2/5 of 16= (estimate each product)
ahrayia [7]

Answer:

6.4 rounds down to 6.

Step-by-step explanation:

Divide 16 by 5. Multiply that number by 2.

3 0
3 years ago
Read 2 more answers
B) Find the value of 2a? + 5b2 when a = -6 and b = 2
dedylja [7]

Answer:

2a + 5b(2)

2(-6) + 5(2)(2)

-12 + 20

=8

7 0
3 years ago
Read 2 more answers
the initial starting salary for a summer camp counselor is $14 per week. Starting with the first week, the salary doubles to enc
Svetlanka [38]

Answer:

The equation to determine the salary every given number of weeks is 14x2 ^ X = Y, and after 12 weeks, the counselor's salary will be $ 57,344.

Step-by-step explanation:

Since the initial starting salary for a summer camp counselor is $ 14 per week, and starting with the first week, the salary doubles to encourage the counselor to work for the entire summer, to write an equation that models the salary (y) of the camp counselor per week (x), and determine, if the camp runs for 12 weeks, how much would a camp counselor make, the following calculations should be performed:

14x2 ^ X = Y

14x2 ^ 12 = Y

14x4,096 = Y

57344 = Y

Therefore, the equation to determine the salary every given number of weeks is 14x2 ^ X = Y, and after 12 weeks, the counselor's salary will be $ 57,344.

5 0
3 years ago
Determine whether the number is a perfect square, a perfect cube, or neither. If the number is a perfect square or a perfect cub
alexandr402 [8]
Rational numbers are described as "numbers that can be written as a fraction, all integers are rational numbers".
256 is a perfect square of 16 or -16.
555 is neither.
-64 is a perfect cube of -4
-4 is neither, for the square root of -4 is 2i, which is an imaginary number.
8 0
3 years ago
Other questions:
  • A park has a large circle painted in the middle of the playground area. The circle is divided into 444 equal sections, and each
    13·1 answer
  • What number would you add to both sides of x2 + 7x = 4 to complete the square?  A.2^2 B.7^2 C, 7^2/2 D.(7/2)^2
    5·1 answer
  • What’s does 3/5 + 1/3 equal
    11·2 answers
  • A jar contains 150 coins. If it is very likely that you will randomly choose a penny out of the jar, how many pennies could be i
    10·2 answers
  • Is a parroleogram a rombus
    9·2 answers
  • Please help immediately!!!
    8·1 answer
  • Math true or false
    12·1 answer
  • Estimate the area of a polygon
    11·1 answer
  • The function in the graph has the general equation f(x) = a sin(bx + c) + d. Which of the following values are correct? Select t
    15·2 answers
  • Hello! Verify the identity. Please show your work! Use trigonometric identities to verify each expression is equal.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!