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QveST [7]
2 years ago
5

Find the value of x. Round to the nearest degree as needed.

Mathematics
1 answer:
Bas_tet [7]2 years ago
4 0

9514 1404 393

Answer:

  x° = 29°

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relevant trig relationships. Here, you have the hypotenuse and the side opposite the unknown angle. So, the appropriate relation is ...

  Sin = Opposite/Hypotenuse

  sin(x°) = 12/25

  x° = arcsin(12/25) ≈ 28.69°

The value of x is about 29.

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Write the equation of a piecewise function with a jump discontinuity at x =3. Then, determine which step of the 3-step test for
seraphim [82]

Answer:

Here's a possible example:

Step-by-step explanation:

f(x) =\begin{cases} x & \quad x < 3\\x+3 & \quad x \geq 3\\\end{cases}

Each piece is linear, so the pieces are continuous by themselves.

We need consider only the point at which the pieces meet (x = 3).

\displaystyle \lim_{x \longrightarrow 3^{-}} f(x) = \lim_{x \longrightarrow 3^{-}} x = 3\\\\\displaystyle \lim_{x \longrightarrow 3^{+}} f(x) = \lim_{x \longrightarrow 3^{+}} x+3 = 6\\\\f(3) = x + 3 = 6\\\\\displaystyle \lim_{x \longrightarrow 3^{-}} f(x) \neq f(3)

The left-hand limit does not equal ƒ(x), so there is a jump discontinuity at x =3.

5 0
3 years ago
Choose the slope and y-intercept that correspond with the graph. ​ignore this
krok68 [10]

Answer: The second choice is correct:  slope is 3/4, y-intercept is 1

Step-by-step explanation: The y-intercept is where the line crosses the y-axis.

Look for places where the line intersects the grid at "cross-points" like (-4,-2) (0,1) and (4,4)

The slope is rise/run.

The difference in y-values is the rise. 4-1=3  1-(-2) is 3.

The rise is 3.

The difference in x-values is the run. 4-0=4  0-(-4) = 4

The run is 4

Rise/run = 3/4  That is the slope.

8 0
3 years ago
Read 2 more answers
Write the expression in expanded form that is equivalent to 3(7d +4e)
pickupchik [31]

Answer:

21+4

Step-by-step explanation:

3 times 7=21

3 times4=12

21d+4e

4 0
2 years ago
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Help i need the answer now!!!
sveticcg [70]

Answer:

hmm bro it's kinda blurry can u retake the pic? i will help u to solve it

4 0
2 years ago
What is the area of this figure?<br> Enter your answer in the box below.​
viva [34]

Answer:

A = 81 m²

Step-by-step explanation:

The formula for area of the parallelogram is

 A = LH         where L is the length of the base, and H is the height

L is given as 9, and H is given as 5, so

 A = (9)(5) = 45 m²

The are of the triangle is

 A = (1/2)bh         where b is the base and h is the height

b is given as 9.  Its's 9 because that side of the parallelogram is parallel to the base of the parallelogram and is also equal in measure.  The height of the triangle is give as 8, so the area is..

 A = (1/2)(9)(8)

       A = 36  m²

The total area is

45 m² + 36 m² = 81 m²

8 0
3 years ago
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