cos²x - sin²x = 0,66​

Answers

Answer 1

x = 24.35°

Step-by-step explanation:

Recall that

cos²x - sin²x = cos 2x

which means that

cos 2x = 0.66 ---> 2x = cos^-1 (0.66) = 48.7°

or x = 24.35°

Answer 2

Answer:

x = 24.35, 155.65, 204.35, 335.65  degrees ( for 0 < x < 360 degrees).

Step-by-step explanation:

cos²x - sin²x = 0.66

cos^2 x = 1 - sin^2 x so

1 - sin^2 x - sin^2 x = 0.66

1 - 2sin^2 x = 0.66

2sin^2 x = 1 - 0.66

sin^2x = 0.34/2 = 0.17

sin x = +/- √0.17

= +/- 0.41231

x = 24.35 degrees ( in first quadrant)

and 180 + 24.35 = 204.35 degrees in third quadrant.


Related Questions

Please help me find volume for this pyramid I'm having trouble.

Answers

Answer:

A. 850 cubic feet

Step-by-step explanation:

Have a good day :)

Im not good with this stuff but i think it might be A ^^

What is the circumference of the circle when there's a radius of 5

Answers

its approximately 31.42 depending on how many digits of pi you use

Which equation gives the rule for this table?

Answers

Answer:

C. y = x + 2

Step-by-step explanation:

2 is being added onto both sides

Why does the equation 5(3x-4)-6x=3(3x-4) have no solutions?
Bureause when you subtract from both sides of the equation and simplify you get 20-20
Berise when you add to both sides of the equation and simplify you get = -12
Because when you add to both sides of the equation and simplify you get 2020
Because when you add-to both sides of the equation and simple you get 20-12

Answers

This equation is a false because when you solve you get -20=-12

aeo
What is the surface area of the cylinder with height 3 km and radius 6 km? Round
your answer to the nearest thousandth.

Answers

Answer:

339.290

Step-by-step explanation:

by using the formula for surface area of cylinder that is 2πrh+2πr^2

Help me please use number 0 -9

Answers

Answer:

8÷4+7-3 =6

8÷4+2-1 =3

6÷2+5-1 = 7

5÷1+6-2= 9

0÷5+4+3= 1

(1) The missing numbers are 2 and 5

(2) The missing numbers are 4 and 0

(3) The missing numbers are 6 and 8

(4) The missing numbers are 1 and 9

(5) The missing numbers are 7 and 3

The solution to the given problem is as follows;

In order of mathematical operation, we resolve division first before addition and finally subtraction.

In this problem we are to choose numbers from 0 to 9 and assume that no number will be repeated.

(1) (8 ÷ 2) + (5 - 3) = 6

⇒  4 + 2 = 6

so the missing numbers are 2 and 5

(2) (4 ÷ 4) + (2 - 0)= 3

⇒  1   +  2  = 3

so the missing numbers are 4 and 0

(3) (6 ÷ 2) + (6 - 1) = 8

⇒ 3 + 5 = 8

so the missing numbers are 6 and 8

(4) (5 ÷ 1) + (6 - 1) = 9

so the missing numbers are 1 and 9

(5)  (0 ÷ 7) + (4 - 3) = 1

so the missing numbers are 7 and 3

Thus, all the numbers from 0 to 9 have been used and non was repeated.

Learn more here: https://brainly.com/question/1871940

Help me on this question please!!

Answers

Answer:

lol get a life

Step-by-step explanation:

7x + 6y = -1 ; -x + 2y = 3 with elimination

Answers

Answer:

x= -1, y=1

Step-by-step explanation:

First label the 2 equations.

7x +6y= -1 -----(1)

-x +2y= 3 -----(2)

Then choose which term you would like to eliminate. To eliminate the y term, multiply equation (2) by 3 such that the coefficient of y is 6.

(2) ×3:

-3x +6y= 9 -----(3)

Since the coefficient of y is positive 6 in both equations, subtract one equation from the other.

(3) -(1):

-3x +6y -(7x +6y)= 9 -(-1)

Expand:

-3x +6y -7x -6y= 9 +1

-10x= 10

x= 10 ÷(-10)

x= -1

Substitute x= -1 into (2):

-(-1) +2y= 3

1 +2y= 3

2y= 3 -1

2y= 2

y= 2 ÷2

y= 1

------------------------------------------------------------

2nd method: eliminating the x term

(2) ×7:

-7x +14y= 21 -----(3)

Since the coefficient of y in equation (1) is a positive 7, while that in equation (3) is a negative 7, add the 2 equations together to eliminate the x term.

(1) +(3):

7x +6y -7x +14y= -1 +21

20y= 20

y= 20 ÷20

y= 1

Substitute y= 1 into (2):

-x +2(1)= 3

-x +2= 3

-x= 3 -2

-x= 1

x= -1

3 • 12 ÷ 2 • 3 ÷ 3
6
2
18
54

Answers

Answer:

18.

Step-by-step explanation:

3*12 = 36

36/2 = 18

18*3 = 54

54/3 = 18

Answer:

18

Step-by-step explanation:

3 x 12 is 36,

36 divided by 2 is 18,

18 x 3 is 54,

54 divided by 3 is 18

-3(8n+10)
distributive property

Answers

-24n - 30, i suggest using math.way before asking a math question aha
1.25 in decimal form
5/4 in factional form

Please help. ill give extra points for free if answered.

Answers

Answer: B

Step-by-step explanation:

Answer:

the person is correct b

Step-by-step explanation:

Please Help ASAP
Jorge has a swimming pool that is rectangular in shape. The length and width of the pool are 24 feet and 14 feet. He also knows that the pool has a consistent depth of 5 feet. He needs to add 4 drops of chlorine for every 50 cubic feet in his pool. How many drops of chlorine should Jorge use to chlorinate his pool properly?

Answers

Answer:

140 drops

Step-by-step explanation:

Length of the pool = 24 feet

Width of the pool = 14 feet

Depth of the pool = 5 feet

Volume of the pool = length × width × depth

= 24 ft * 14 ft * 5 ft

= 1,750 ft³

Volume of the pool = 1,750 ft³

He needs to add 4 drops of chlorine for every 50 cubic feet in his pool.

Number of 50 cubic feet in the volume of the pool = Volume of the pool / 50 ft³

= 1,750 ft³ / 50 ft³

= 35

Number of 50 cubic feet in the volume of the pool = 35

How many drops of chlorine should Jorge use to chlorinate his pool properly?

Number of drops of chlorine Jorge should use = number of drops per 50 ft³ × Number of 50 cubic feet in the volume of the pool

= 4 × 35

= 140 drops

Number of drops of chlorine Jorge should use = 140 drops

please please helppp!!

Answers

Answer:

Step-by-step explanation:

Here we want the side length of x, which is adjacent to the angle 31 degrees. Cosine is the ratio we want because it is adj/hypotenuse.

Here's our basic equation:

cos31=x/17

or

17 * cos31=x

Put this into the calculator and you get around 15.6

:Renita's Bike Ride
Renita is riding her bike to school. It takes her 5 minutes to
travel half of a mile.

Answers

Answer:

Okay well if you need to find mph she is going 10 mph

Step-by-step explanation:

1/2+1/2= 1 mile in 10 min, multiply both sides by 6 and you get 1 mile = 60min

Simplify 2/5 (40x – 75)
which one ?? help plsss
100x - 187.5
80x/5 - 150/5
80x - 150
16x-30

Answers

Answer:

16x-30

Step-by-step explanation:

distribute 2/5 by 40x and then 75

2/5(40x) - 2/5(75)

16x - 30

Find the zeros of the function.
Enter the solutions from least to greatest.
g(x) = 4x^2 – 484
lesser x =
greater x =

Answers

Answer:

11 and -11

Step-by-step explanation:

What is 56 + 7 + 3y3 when y = 4?
A. 200
B. 156
C. 132
D. 44

Answers

Answer:

255   as written

200   if as intended

Step-by-step explanation:

As written

56 + 7 + 3y³

63 + 3(4³)

63 + 3(64)

63 + 192

255

-----------------------

If you intended

56 / 7 + 3y³

8 + 192

200

What is the value of x. Please help out. This is due today!

Answers

Answer:

70°

Step-by-step explanation:

In the context it says that Franklin St. is parallel to Washington St.

The 110° formed by Franklin St. and Mulberry St. is a supplementary angle to Angle x.

Supplementary angles are angles that add up to each other to make 180°

So lets subtract:

180 - 110 = 70°

Angle x = 70°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

pls helpppp lol :/ I’d really appreciate it !!

Answers

Step-by-step explanation:

60+5x+5=180 (being angle of straight line)

5x+65=180

5x=180-65

5x=115

x=23

what are the difference in finding the cirumference circle and finding the area of circle

Answers

Answer:

the circumference is the total distance round a circle but the are is a measure of a space or region inside the circle but circumference is around it

Amelia randomly selects two cards, with replacement, from a normal deck of cards. Calculate the probability that: the first card is a 9 of Clubs and the second card is a 10 of Clubs.

Answers

Answer:

1 / 2704

Step-by-step explanation:

Number of cards in a deck = 52

9 of clubs in a deck = 1

10 of clubs in a deck = 1

Probability = required outcome / Total possible outcomes

P(9 of club) = 1 / 52

With replacement ;

Then ;

P(10 of club) = 1 / 52

Hence,

P(9 of club, then 10 of club) = 1/52 * 1/52 = 1 / 2704

Find the volume of a pyramid with a square base, where the area of the base is 6.8m^2
and the height of the pyramid is 8.6. Round your answer to the nearest tenth of a cubic meter.

Answers

Answer:

[tex]19.5\:\mathrm{m^3}[/tex]

Step-by-step explanation:

The volume of a square pyramid is given by [tex]V=\frac{1}{3}\cdot s^2\cdot h[/tex], where [tex]s[/tex] is the base edge and [tex]h[/tex] is the height. Since the base area ([tex]s^2[/tex]) is already given to us, we can substitute directly in to our equation.

Solving for [tex]V[/tex]:

[tex]V=\frac{1}{3}\cdot 6.8\cdot 8.6\approx \boxed{19.5\:\mathrm{m^3}}[/tex]

The answer on deltamath is

19.5m^3

What is the fraction equivalent of 40% in simplest form? 2/5 4/10 40/100 4/100 pan​

Answers

Answer:

2/5

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

good luck you got this

factor each polynomial

Answers

ok so

leave y^2 alone

so you need to get 2 factors that when added equal 11 so 9x2=18

and 9+2=11

so it would be (y+9)(y+2)

hope this helps

Answer:

Step-by-step explanation:

(x + 9 ) ( x + 2 )

hii frnds i m new in this app​

Answers

Answer:

Hello

Step-by-step explanation:

Nice to meet you. Welcome to Brainly where you can get points by answering different questions. You can also ask your own questions and it will be answered by thousands of Brainly users around the world. Enjoy!

Answer:

Welcome to Brainly. I hope you enjoy your stay.

In triangle ABC, if angle A measures 78° and angle B measures 63º, what is the measure of angle C?

Answers

Answer:

∠C=39°

Step-by-step explanation:

The interior angles of a triangle will always have a sum of 180°.

∠A+∠B+∠C=180°

78°+63°+∠C=180°

∠C=180°-78°-63°

∠C=39°

Answer:

39 degrees

Step-by-step explanation:

All triangles will add up to 180 degrees. So, you know that angle C added with angles A and B will equal 180. if you take 180, minus 78, minus 63, you get the answer 39.

Jake's investment account is compounded continuously at a rate of 8% per year. After 3 years, his account has a balance of $10,000. Which function could be used to model the value, A(t), of Jake's account t years since it was opened?

Answers

Answer:

10,000 × .08 = 800.

Step-by-step explanation:

2400 interest in 3 yrs

hey! please help i’ll give brainliest

Answers

Answer:

b

Step-by-step explanation:

Answer: B

Explanation: It’s B

Use the digits 2,3,and 4 one time each to correctly complete the following problem. __00 * __ __ = 6,800

Answers

Answer:

200*34=6800

Step-by-step explanation:

Write the possible combinations like

200*34

200*43

300*24

300*42

400*32

400*23

then you chose what will give you 6800 as the answer

Find a formula for the nth term of the geometric sequence. Assume the n begins with 1. a1=18, a2=9​

Answers

Answer:

Option E

Step-by-step explanation:

Explicit formula of a geometric sequence is,

[tex]T_n=a_1(r)^{n-1}[/tex]

Here, [tex]a_1=[/tex] First term

[tex]r=[/tex] common ratio

[tex]n=[/tex] number of terms

If, [tex]a_1=18[/tex] and [tex]a_2=9[/tex]

Common ratio of the sequence [tex]r=\frac{a_2}{a_1}[/tex]

[tex]r=\frac{9}{18}[/tex]

[tex]r=\frac{1}{2}[/tex]

By substituting these values in the formula,

[tex]T_n=18(\frac{1}{2} )^{n-1}[/tex]

Therefore, Option E is the answer.

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