Find cos 2α; the angle α is in the fourth quadrant, and sin α = -0.45. Which double-angle identity should you use?


cos2α = 1 – 2〖sin〗^2α

sin(α)cos(α) - cos(α)sin(α)

sin(α)cos(α)

2sin(α)cos(α)

Answers

Answer 1

Answer:

it is the last one

Step-by-step explanation:

me big brain


Related Questions

12. Find the measure of the exterior angle.

Answers

Answer:

68

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle

3x - 2 + 4x + 4 = 6x + 8 add like terms

7x - 2 = 6x + 8

7x - 6x = 8 + 2

x = 10

The measure of exterior angle

6x + 8 = 6*10 + 8

The measure of exterior angle is 68 degrees

Find the gradient of the line segment between the points (-3,1) and (2,5). Give your answer in its simplest form.

Answers

Answer:

[tex]\displaystyle m = \frac{4}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinate Planes

Coordinates (x, y)

Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify points.

Point (-3, 1)

Point (2, 5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{5 - 1}{2 - -3}[/tex][Order of Operations] Evaluate:                                                                      [tex]\displaystyle m = \frac{4}{5}[/tex]

12>-2(y-4) solve the inequality

Answers

[tex]12>-2(y-4)\\\\\implies -\dfrac{12}2 <y-4~~~;[\text{Dividing by a negative number, so reverse the inequality.}]\\\\\implies -6<y-4\\\\\implies -6+4<y\\\\\implies -2<y\\\\\implies y>-2\\\\\text{Interval,}~ (-2,\infty)[/tex]

Which of the following groups cannot represent the side lengths of a triangle.
A.49,20,17
B.7,11,16
C.9,13,21
D.30,9,27

Answers

Answer:

try B for an answer, hope it helps

how do i do this?? i really need help !!

Answers

Answer:

  angles: 150°, 108°, 90°, 12°

Step-by-step explanation:

The size of each sector of a pie chart is proportional to the size of the data item being represented. Here, the total of all frequency numbers is ...

  25 +18 +15 +2 = 60

These 60 are represented in the chart by 360°, so each unit of frequency is represented by 360°/60 = 6°.

The 25 destinations in France are represented by a sector that is ...

  25 × 6° = 150°

The 18 destinations in Spain are represented by a sector that is ...

  18 × 6° = 108°

The 15 destinations in Greece are represented by a sector that is ...

  15 × 6° = 90°

The remaining (Other) destinations are represented by the remaining part of the circle:

  2 × 6° = 12°

You can draw the sector dividers in the circle using a protractor or geometry application, or you can let a spreadsheet draw the entire pie chart for you.

__

The attachment is roughly what the finished product would look like. We have included the angle measures, so you can see what they are. Ordinarily, those would not be present. The labels might include data values or percentages, as you may decide. The purpose is to communicate, so you need to figure what message you want the chart to communicate, and label it appropriately.

Answer:

angles: 150°, 108°, 90°, 12°

Step-by-step explanation:

The size of each sector of a pie chart is proportional to the size of the data item being represented. Here, the total of all frequency numbers is ...

25 +18 +15+2 = 60

These 60 are represented in the chart by 360°, so each unit of frequency is represented by 360` = 6°.

The 25 destinations in France are represented by a sector that is ...

25 x 6° = 150°

The 18 destinations in Spain are represented by a sector that is ...

18 x 6° = 108°

The 15 destinations in Greece are represented by a sector that is ...

15 x 6° = 90°

The remaining (Other) destinations are represented by the remaining part of the circle:

2 x 6° = 12°

You can draw the sector dividers in the circle using a protractor or geometry application, or you can let a spreadsheet draw the entire pie chart for you.

The attachment is roughly what the finished product would look like. We have included the angle measures, so you can see what they are. Ordinarily, those would not be present. The labels might include data values or percentages, as you may decide. The purpose is to communicate, so you need to figure what message you want the chart to communicate, and label it appropriately.

Brainliest
Please do one of the above
(I would appreciate if you did more then one)

Answers

Answer:

5. 7.5m

6. 3, 925m

7. 383.9m

8 42.99m

Answer:

Step-by-step explanation:

A sequence starts from -2. The term to term rule is 'square and subtract 3' find the first six numbers of the sequence

Answers

Answer:

The first six numbers are [tex]-2,1,-2,1,-2,1[/tex]

Step-by-step explanation:

First term is [tex]-2[/tex]

The term to term rule is 'square and subtract [tex]3[/tex]'

Second term[tex]=(-2)^{2} -3=1[/tex]

Third term[tex]=(1)^{2} -3=-2[/tex]

Fourth term[tex]=(-2)^{2} -3=1[/tex]

Fifth term[tex]=(1)^{2} -3=-2[/tex]

Sixth term[tex]=(-2)^{2} -3=1[/tex]

The first six numbers are [tex]-2,1,-2,1,-2,1[/tex]

the mark in a subject for 12 students are as follows 31`, 37 ,35,38 ,42 ,23,17,18 ,35,25, 35,29

Answers

Answer:

Mean (Average): 30.416666666667

Median: 33

Range: 25

Mode: 35, appeared 3 times

Step-by-step explanation:

Plz help me with this

Answers

Answer:

sorry cant see the question

Step-by-step explanation:

The long sides of a rectangle measure 5 ft 6 in, and the short sides are 3 ft 4 in. What is the perimeter?

Answers

Answer:

17 ft 8 in

Step-by-step explanation:

The area of a rectangular patio is 21
1
8
square meters. The width of the patio is 3
1
4
meters. What is the length? Enter your answer as a mixed number in simplest form.

The length of the patio is meters.

Answers

Answer:

6 1/2

Step-by-step explanation:

21 1/8 divided by 3 1/4

Put into improper fractions

169 / 8 divided by 13 / 4

Multiply by the reciprocal

169 / 8 x 4 / 13

= 6 1/2

solve similar triangles (advanced)

Answers

Answer:

  x = 9/4

Step-by-step explanation:

Locate point G on segment DE so that DG = 1 and GE = 4. CG is parallel to AD, so ΔCGE ~ ΔABC. Corresponding sides are proportional.

  AB/BC = CG/GE

  x/1 = 9/4

  x = 9/4

_____

Additional comment

Using the given triangles, you can write the proportion statement as ...

  (9+x)/x = 5/1

We judge this to take more steps to solve, so we prefer the method shown above.

determine if the two triangles are congruent.If they are state how you know

Answers

9. yes, 2 congruent sides

10. no

11. yes, 1 congruent side and angles

12. yes, 1 congruent side and angles

13. yes, 1 congruent side and angles

14. yes, 2 congruent sides

15. yes, congruent sides and angles

16. yes, congruent angles and sides

5x-6>1+2(4x+1)

I need answers now please and an explanation

NO BOTS I HAVE NO TIME FOR THEM

Answers

Answer:

-3

Step-by-step explanation:

I just need 20 characters to help out so yeah

Given that k=cd2 + e find the value of c when k=3 ,d=2 and e = 5

Answers

Answer:

  c = -1/2

Step-by-step explanation:

Put the known values in the equation and solve for the unknown.

  k = cd² +e

  3 = c(2²) +5

  -2 = 4c . . . . . . . subtract 5

  -1/2 = c . . . . . . divide by 4

The image shows the fossilized remains of Glyptodon, an animal group that became extinct about 10,000 years ago, and a modern armadillo. Both animals are mammals that share similar physical characteristics, such as short legs, a long tail, and a shell composed of bony plates. Which is the best explanation for the similarity between Glyptodon and the armadillo? The armadillo and Glyptodon descended from unrelated animals. The armadillo and Glyptodon descended from unrelated animals. The armadillo and Glyptodon are the same species. The armadillo and Glyptodon are the same species. The armadillo and Glyptodon lived in different environments. The armadillo and Glyptodon lived in different environments. The armadillo and Glyptodon descended from a common ancestor. The armadillo and Glyptodon descended from a common ancestor.

Answers

Answer

The armadillo and Glyptodon descended from a common ancestor.

Step-by-step explanation:

given: 4x=12x+32 prove: =-4

Answers

Answer:

See explanation

Step-by-step explanation:

4x = 12x + 32

Subtract 12x from both sides

-8x = 32

Divide each side by -8.

x = -4

Answer:

True, see attached photo, if this helped you please give Brainliest

Step-by-step explanation:

In the inequality -4n + 3 > 7, you will need to flip the inequality sign to solve for n. True False

Answers

Answer:

True because you need to divide by -4 at one stage. Dividing by  a negative number will reverse the inequality.

Step-by-step explanation:

[tex]-4n+3>7\\\\\implies -4n >7-3\\\\\implies -4n> 4\\\\\implies n<\dfrac{4}{-4}\\\\\implies n<-1\\\\\text{Interval,}~ (-\infty, -1)[/tex]

you and a friend go to starbucks. you spend $5.25 on a venti pumpkin spice latte and buy 4 chocolate chip cookies. your friend decides against coffee and only purchases 7 chocolate chip cookies. if you both spent the same amount of money, what was the price of one chocolate chip cookie? Give the algebraic equation

Answers

Answer: 1.75

Step-by-step explanation:

5.25 / 3 = 1.75

1.75 x 4 = 7

7 + 5.25 = 12.25

1.75 x 7 = 12.25

since they are the same answer it's right

what is the rectangular cross hatch chart used for eye test called

Answers

It’s called an Amsler chart hope this helps :)

Someone please help. How can I solve this question?

Answers

Answer:

∠ LKJ = 64°

Step-by-step explanation:

Since KJ = KL then the triangle is isosceles with the 2 base angles being congruent, that is

∠ J = ∠ L = 58° , then

∠ LKJ = 180° - 58° - 58° = 180° - 116° = 64°

PLEASE HELP ASAP
Simple interest:
The length of time for £5000 to earn £1000 if invested at 10 percent per annum

Answers

Answer:

2 years

Step-by-step explanation:

1) principle:$5000

Rate : 10%

S.I = $1000

Therefore length of time =

S.I x 100 divided by Principle x rate

= 1000 x 100 divided by 5000 x 10

Answer= 2 years.

If correct please give brainliest

Stay safe and healthy

Thank You

Find the area of each figure

Answers

Answer:

17.5

Step-by-step explanation:

7*5/2

Answer ~ 17.5
Explanation ~
B•h/2
5•7=35
35/2=17.5
:)

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

Answers

Answer:

y = 4/7x

Step-by-step explanation:

(0,0)

(7,4)

up 4 right 7

4/7

y = 4/7x

Answer:

y = 4/7 x

Step-by-step explanation:

using rise/run = slope

rise = 4

run= 7

4/7 = slope

On a coordinate plane, a line is drawn from point A to point B. Point A is at (negative 4, 8) and point B is at (2, negative 4). What are the x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 3:10? Round to the nearest tenth, if necessary. X = y =.

Answers

The x and y coordinates of point C are -2.6 and 5.2, respectively

The coordinate of the points are given as:

[tex]A = (-4,8)[/tex]

[tex]B =(2,-4)[/tex]

The ratio is given as:

[tex]m :n = 3 : 10[/tex]

The point at the given ratio is calculated as:

[tex]C = (\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})[/tex]

So, we have:

[tex]C = (\frac{3 \times 2 + 10 \times -4}{3+10},\frac{3 \times -4 +10 \times 8}{3+10})[/tex]

Simplify

[tex]C = (\frac{-34}{13},\frac{68}{13})[/tex]

[tex]C = (-2.6,5.2)[/tex]

Hence, the x and y coordinates of point C are -2.6 and 5.2, respectively

Read more about line ratios at:

https://brainly.com/question/11764811

Answer:

a

Step-by-step explanation:

I WILL GIVE 20 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY

Answers

Answer:

I believe it is 30.

Step-by-step explanation:

on the screenshot it shows 18, 24, 30, meaning 30 is the answer

What is the value of the expression [−18+(−22)]−43+12?

Answers

Answer:

-71

Step-by-step explanation:

Answer:

-71

Step-by-step explanation:

[-18+(-22)]-43+12

=(-18+22)-43+12

=-40-43+12

=-83+12

=-71

How can probability be applied to decision making?

Answers

Answer:

ANSWER============================You can calculate the probability that an event will happen by dividing the number of ways that the event can happen by the number of total possibilities. Probability can help you to make better decisions, such as deciding whether or not to play a game where the outcome may not be immediately obvious.============================

#CarryOnLearning

Answer: Using Probability to Increase the Odds of success

8 times a certain number is added to 5 times a second number to give 184.

Answers

Answer:

8x+5y=184

Hope This Helps!!!

In the diagram below B is the midpoint of AC if AB equals 2X and BC equals X squared -24 find the value of X and the length of AC

Answers

Answer:

  x = 6

  AC = 24

Step-by-step explanation:

The midpoint divides the segment into two congruent parts.

  AB = BC

  BC -AB = 0

  x^2 -24 -2x = 0

  (x -1)^2 = 25 . . . . . . add 25, write as a square

  x = 1 +√25 = 6 . . . . only the positive solution is of interest.

AC = 2(AB) = 2(2x) = 4(6) = 24

The value of X is 6, and the length of AC is 24 units.

If B is the midpoint

AB=BCx²-24=2xx²-2x-24=0x²-6x+4x-24=0(x-6)(x+4)=0x=6,-4

Distance is positive

x=6

AC

2(2x)4x4(6)24
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