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galina1969 [7]
3 years ago
15

What are the simplified forms of the expression

Mathematics
1 answer:
anastassius [24]3 years ago
4 0

Answer:

It's is A  and   D.

Step-by-step explanation:

Tan^2 theta cos 2theta

= (sin^2 theta / cos^2 theta )( 2 cos^2 theta - 1)

= 2 sin^2 theta  - sin^2 theta / cos^2 theta

= 2 sin^2 theta - tan^2 theta.

Tan^2 theta  cos 2theta

= ( 1 / cot^2 theta) * cos 2theta

= cos 2theta / cot^2 theta.

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At a dance camp, students must specialize in one style of dance. Of the 62 dancers at the
kicyunya [14]

Answer:

10/31

or

0.32

or

32%

Step-by-step explanation:

Students must specialize in one style of dance.

Last summer there was 62 dancers.

20 of the 62 specialized in modern dance.

Therefore the probability of a random chosen dancer to be a modern specification is 20/62.

The answer is:

Fraction:

10

---

31

Whole number:

0.32

Percent:

32%

7 0
3 years ago
The question is about trigonometry solving two sides it is a right triangle hypotenuse is X left side is 20 bottom side is 21 i
elena55 [62]

Answer:

x = 29

Angle A = 46.4°

Angle B = 43.6°

Step-by-step explanation:

Since it is a right angle triangle, we can find x from pythagoras theorem;

x = √(20² + 21²)

x = √(400 + 441)

x = √841

x = 29

Using trigonometric ratios we can find angles A and B.

Opposite is 20

Adjacent is 21

Thus; opp/adj = tan B

20/21 = tan B

B = tan^(-1) 0.9524

B = 43.6°

Sum of angles in a triangle is 180°. Thus;

A = 180 - (90 + 43.6)

A = 46.4°

4 0
2 years ago
Use the figure below for Exercises 1-8. Note that RN pierces the plane at N. It is not coplanar with V.
Serga [27]

Answer:

1. Two segments are MC and AX

2. Point N

3. Three collinear points are points A, point N and point X

4. Two other names for V are quadrilateral and rectangle

5. No N, M, and X are in a different plane from R

6. Two rays are ray NR and ray NA

7. The pair of opposite rays with end point N are ray NA and ray NX and ray NM and ray NC

8. Three lines are shown in the figure

Step-by-step explanation:

1) A segment is a line portion with two end points

2) A point marks a position

3) Collinear points are points on the same line

3) A quadrilateral is a four sided figure while rectangle has 90° interior angles

4) A ray is an line extending from a point without ending

5) Opposite rays are rays extending from the same point but in opposite directions

6) A line is a straight one dimensional geometric figure  that has no width but infinite number of points extending without end in both directions

4 0
2 years ago
This line segment will be dilated with the point of dilation at (4,1) and scale factor of 2. What is the x-coordinate of one of
IgorLugansk [536]

Answer:

<h3>8</h3>

Step-by-step explanation:

If a coordinate point (x, y) is dilated by a factor k, then the resulting coordinate will be (kx, ky)

Given the coordinate (4,1), if this coordinate is dilated by a factor of 2 then the new coordinate points will be at (2(4), 2(1))

New point = (8, 2)

Hence  x-coordinate of one of the the end point of the dilated segment is 8

5 0
2 years ago
8=4w/3, if using this expression what is w equal to?
pogonyaev
8 = 4w/3                    Original Problem.
4w/3 = 8                    Flip Flopped the problem around.
4w = 24                     Multiplied each side by 3.
w = 6                         Divided each side by 4.

Answer: w = 6
8 0
3 years ago
Read 2 more answers
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