Using formulas in geometry help! due tommorow

2.4.6.8. 10.... geometrical,arithmetic or neither?

poizon [28]

Answer:

This is an arithmetic sequence.

Step-by-step explanation:

The difference between the consecutive terms is constant => sequence is arithmetic.

4-2 = 2

6-4= 2

8-6 = 2

10-8 = 2

7 0

4 years ago

Read 2 more answers

Represent the following sentence as an algebraic expression, where "a number" is the

kenny6666 [7]

Answer. x>1
Explanation. when “x” is greater than one. We use the greater than symbol and use “x” as the variable.

8 0

4 years ago

Please help! Find the value of X. Round to the nearest tenth. acellus

just olya [345]

9514 1404 393

Answer:

38.2°

Step-by-step explanation:

The law of sines tells you ...

sin(x)/15 = sin(27°)/11

sin(x) = (15/11)sin(27°) . . . . . multiply by 15

x = arcsin((15/11)sin(27°)) ≈ arcsin(0.619078) ≈ 38.2488°

x ≈ 38.2°

_____

<em>Additional comment</em>

In "law of sines" problems, you need to identify a side and opposite angle that you know both values of. Then, you need to identify whether you're looking for an angle or a side, and whether its opposite side or angle is known. If two angles are known, you can always figure the third from the sum of angles in a triangle.

Here, we have angle 27° opposite side 11. We are looking for an angle, and we know its opposite side. This lets us use the ratio formula directly. Since the angle is the unknown, it is useful to write the equation with sines on top and sides on the bottom.

The given angle is opposite the shorter of the given sides, so this triangle has two solutions. We assume that we want the solution that is an acute angle (141.8° is the other solution). That assumption is based on the drawing. Usually, you're cautioned not to take the drawings at face value.

7 0

3 years ago

Which of the following is true for f(x)= -2sin(x)-3?

serious [3.7K]

Let's write the general form of the sine curve:

$f(x)=AsinB(x+C)+D$ , where,

A is the amplitude. Also, if A is negative, curve reflects about x axis
B is the compression/stretching factor. It changes the period when it is a value other than 1.
C is the phase shift. It translates curve left or right. Negative value shifts right and positive value shifts left.
D is the vertical shift. It translates curve up or down. Negative value shifts down and positive value shifts up.

Let's check the 4 choices.

A.

Since this curve's A is -2, its amplitude is 2 and range is from -2 to 2. BUT since D value is -3, it shifts vertically 3 units down making the range from -1 to -5. Clearly choice A is not true.

B.

This graph is the graph of $f(x)=-2sin(x)$ shifted 3 units DOWN since D is negative. This choice isn't true.

C.

Because of the - (minus) sign in front of the function, the function is reflected about x-axis, but amplitude doesn't change. Since A value is 2, amplitude is 2. This is true.

D.

Period depends on the B value. Here, B value is 1, so period is normal as the parent function of a sine curve, which is $2\pi$ , NOT $4\pi$ . So this is not correct.