3 cos 2x + Sinx = 1 for
0° ≤x ≤ 360​

Answers

Answer 1

Answer:

x = 41.81°, 138.19°, 210°, 330°

Explanation:

3cos(2x) + sin(x) = 1

subtract one from both sides

→ 3cos(2x) + sin(x) − 1 = 0

rewrite using trigonometry identities

→ 2 + sin(x) − 6sin²(x) = 0

solve x by substitution

f(x) = 2 + sin(x) − 6sin²(x)

= 2 + 4sin(x) - 3sin(x) − 6sin²(x)

= −2sinx(3sinx −2) − (3sinx−2)

= (3sinx −2)(−2sinx−1)

= −(3sinx −2)(2sinx+1)

f(x) = 2 + sin(x) − 6sin²(x) = 0

= −(3sinx −2)(2sinx+1) = 0

(3sinx −2) = 0 (2sinx+1) = 0

→sinx = 2/3 →sinx = −1/2

x = 41.81°, 138.19° x = 210°, 330°

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Related Questions

Please help it’s urgent

Answers

Answer:

1750 sq m

Step-by-step explanation:

100 x 85 = 8500 and 90 x 75 = 6750, so take away 6750 from 8500, 8500 - 6750 = 1750 sq m

(x^8+2x^4+1)+(2x^4+x^2+1)

Answers

Your problem → (x^8+2x^4+1)+(2x^4+x^2+1)

(x^8+2x^4+1)+(2x^4+x^2+1)

=x^8 + 2x^4 + 1 + 2x^4 + x^2+1

=x^8+2x^4+2x^4+x^2+1+1

=x^8+4x^4+x^2+2

This is the question I need the answer in 24 house or less please and thank u

Answers

Answer:

Vertex: (–9, 1)

Axis of Symmetry: x = –9

Step-by-step explanation:

x = 9 is the lowest point on the graph. This makes it the x-coordinate of the vertex and the axis of symmetry. Now count how many squares above the x-axis it is. It's 1 square above, right? This means the vertex is (–9, 1).

Hope this helps you. Have a great day!

Evaluate the expression for x= -4.
4x2 - 6x + 7
When x= -4,4x2 - 6x +7=

Answers

15 is what i got hope it works

4 movie tickets cost $35, how many dollars per ticket​

Answers

8.75$ that’s the amount 35 divided by 4

Answer:

140

Step-by-step explanation:

35 x 4= 140

Justin flipped a coin and it landed on tails 7 times and heads 3 times. What is the experimental probability that the coin lands on tails the next time he flips it? (HOW DID YOU GET YOUR ANSWER PLEASE SHOW WORK!!)
A. 70%
B. 5040
C. 5.2
D. 4(2X+4)
E. 300%
F. 2.5
G. 5267
H. 4X(2X-4)
I. 299%
J. .4

Answers

Answer:

Step-by-step explanation:

Jessie stacked photographs of 6 zoo animals on top of each other to create a display. Each photo is 14 1/4 in. high. How high is the display?

Answers

Answer:

85 1/2 inches

Step-by-step explanation:

14 1/4 x 6 = 85 1/2 inches

Hope that helps!

estimate 5/8 - 1/10 explain

Answers

Answer:

21/40.

Step-by-step explanation:

Find the LCD (Least Common Denominator) of the fractions. The LCD of 5/8 and 1/10 is 40.

Convert both fractions into denominators of 40.

So then we have: 25/40 - 4/40 which is equal to: 21/40.

21/40 is the estimated value of the expression  5/8 -1/10

What is Number system?

A number system is defined as a system of writing to express numbers.

The given expression is 5/8 -1/10

The terms in the expression are in the form of fractions, A fraction represents a part of a whole.

To find the value of expression firstly find the LCM of 8 and 10

40 is the LCM

5(5)-1(4)/40

25-4/40

The value of 25 minus 4 is twenty one.

21/40 is the value of the expression  5/8 -1/10

Hence, 21/40 is the estimated value of the expression  5/8 -1/10

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Cuanto es la rais cuadrada del rectángulo entre dos y multiplicada por 1837​

Answers

14,696

buen dia

(lo siento)

un terreno de forma triangular tiene 250 pies de base por 180 pies de altura Cuál es la magnitud de su área en metro​

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Areas..

Bienvenidos al concepto de áreas.

Área de un triángulo = 1/2 * base * altura,

aquí, base = 250, altura = 180, así que obtenemos como

Área = 1/2 * 250 * 180

Área = 250 * 90

Área = 22,500 mtrs.

The magnitude of the area of the triangular piece of land is approximately 2,094.2 square meters.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

First, let's calculate the area of the triangular piece of land in square feet:

Area = (1/2) x base x height

Area = (1/2) x 250 ft x 180 ft

Area = 22,500 sq. ft

To convert this to square meters, we can use the conversion factor of 1 sq. ft = 0.092903 sq. m:

Area = 22,500 sq. ft x 0.092903 sq. m/sq. ft

Area ≈ 2,094.2 sq. m

Rounding to the nearest tenth of a square meter, we get:

Area ≈ 2,094.2 sq. m

Therefore,

The magnitude of the area of the triangular piece of land is approximately 2,094.2 square meters.

Learn more about triangles here:

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The complete question:

A triangular piece of land has a base of 250 feet by a height of 180 feet What is the magnitude of its area in meters​

21=3g help me please lol i just got a math question saying 21=3g

Answers

Answer:

g=7

Step-by-step explanation:

21=3g

g=7

Answer:

g=7

.............................

PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE PLEASEEEEEEEEEEEEEEEEEEEEEEEE WILL GIVE BRAINLIST

2. Hank used a semicircle, a rectangle, and a triangle to form the following composite figure. What is its area in square centimeters? Use 3.14 to approximate . Show your work.

Answers

Answer:

Step-by-step explanation:

The area of a circle is 3.14r^2

The area of the triangle is bh/2

The area of the rectangle is wh

A=3.14(5^2)/2+8(10)/2+5(20)

A=3.14(25)/2+40+100

A=179.25 cm^2

Answer:

Step-by-step explanation:

Area of rectangle = 5 × 20 = 100 cm²

Area of triangle = 0.5 × 10 × 8 = 40 cm²

Are of semicircle = 0.5 × area of circle = 0.5 × πr² = 0.5 × 25π = 12.5π cm²

Total area = 100+40+ 12.5π ≈ 179.25 cm²

Write the ratio as a fraction in lowest terms. Be sure to make necessary conversions:

12 feet to 15 inches


------/---------

Answers

Answer:12533

Step-by-step explanation:

Pls help I’ll brainlest ASAP and add extra points

Answers

Answer:

3 to 6 making 9 multiply by 4 giving 36

add 3 by 4 = 36

same

lmk of u hv questions

13° N What is the measurement of N? es​

Answers

Answer: ..The 13 N + 12,13 C elastic scatterings have been measured at laboratory energies of 16.3, 20. and 29.5 MeV.

Step-by-step explanation:

Is there any potential areas of bias or error due to the wording of this question, "Did you continue to use
marijuana after you realized using it was causing you problems with family, friends, or people at work or school?"

Answers

honestly i feel attacked just by reading it. so yea.

4 3
10 x 2.43 = 10x2++
10 100
100)

Answers

Answer:

add my sc = bmic ava, no spaces

or add my discord = XoXo_ava

Step-by-step explanation:

hope i can help bbg / bbb :

) !!!

When chords intersect in a circle, the vertical angles formed intercept congruent arcs.

Answers

Answer:

sometimes

Step-by-step explanation:

if those are the options you have then that's the correct answer

need help on this question plz answer

Answers

Answer:

x≥31

Step-by-step explanation:

3x≥120-27

3x≥ 93

x ≥ 93/3

x≥31

Answer is x≥31

Answer:

x > 31

Step-by-step explanation:

3x > 93

x > 93/3

x > 31

There are 18 suites altogether in the hotel, how many suites are there on each floor if each floor has the same floorplan?

Answers

From the original question there were 6 floors with rooms.

Divide the number of suites by number of floors:

18 / 6 = 3

There are 3 suites per floor.

Factor the polynomial 4x2
24x + 36 completely

Answers

Answer:

Step-by-step explanation:

4(x^2 = 6x + 9)

4(x + 3)(x + 3)

Marks own a carpet store and sells hallway runners for k9.52/linear foot. a) How much is this per linear yard? b) How much is the per linear Meter? C) Ralph needs 3.9m of the runner for his hallway. How much will it cost? Full working out. Please calculate this for me​

Answers

Answer:

28.56/linear yard

32.2256/linear meter

121.77984k

Step-by-step explanation:

a) Scale = k9.52*3 = 28.56/linear yard

b) Scale = k9.52*3.28 = 32.2256/linear meter

c) Cost = 3.9 * 32.2256 = 121.77984k

Name the following segment or point.
Given:
L, M, N are midpoints
Р
M
A
R
N
B
altitude to AC
segment BT
O segment AS
segment BL

Answers

Answer:

should be segment BT, that's what i put and it was right. hope this helps

Step-by-step explanation:

The altitude to the line segment AC is line segment BL.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

Given, L, M, N are midpoints.

We know the altitude of a triangle is a line segment that originates from one vertex of a triangle and bisects the opposite side of the triangle.

By observing the given figure we conclude that the altitude to the line segment AC is the line segment BL.

learn more about the altitude of a triangle here :

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Given the points (-5,-7) and (-2,-8), calculate
the slope.
(I NEED THIS ANSWER ASAP!)

Answers

Answer:

Slope is -1/3

Step-by-step explanation:

(-5,-7)(-2,-8)

-8+7/-2+5

-1/3

m=-1/3

Answer:

Slope=-1/3

Step-by-step explanation:

Solve seven tenths times two fourths

Answers

7/20 or 0.35 I believe

Answer:

with simplify: 1 4/20.

without simplify: 24/20

Step-by-step explanation:

first we have to find the common denominator

can 4 go into 10? no.

can 4 go into 20? yes! it goes into 20, 5 times!

common denominator = 20

_/20 + _/20

what we do to the bottom we do to the top

7 x 2= 14

14/20 + _/20

2 x 5= 10

14/20 + 10/20 = 24/20

now simplify

1 4/20

hope this helped!

The population of a city decreases by 1.2% per year. If this year's population is
242,000, what will next year's population be, to the nearest individual?

Answers

Answer:

Your answer

212960

Mark it as Brainlist answer. Follow me to get more answer

Step-by-step explanation:

Answer: it is actually 239096

Step-by-step explanation:

If it takes 30 apples to fill 2 boxes, how many apples are needed to fill 3 boxes?

Answers

Answer: 45 apples will be needed to fill 3 boxes

Step-by-step explanation: If there are an even amount of apples in each box, 15 times 2 is 30. So if there are 15 apples in each box, 15 times 3 is 45.

Answer:45 apples

Step-by-step explanation:

Since 15 apples are needed to fill 1 box, 45 apples are needed to fill 3 bboxes

A car dealer sells four model types: A,B,C,D. On a given week, this dealer sold 10 cars of model A, 5 of model B, 8 of model C and 3 of model D. The selling prices of each automobile are respectively $12,500, $11,800, $15,900 and $25,300.
Represent the data on the quantity sold using using matrix.

Answers

Answer:

its latter A

Step-by-step explanation:

i hope its help

19 tens is the same
as
Count forward by fives.

Answers

19 tens is 190 but i don’t know what you mean by count forward by fives

the total cost of a pizza and 3 drinks is $19 the price of the pizza is $10 and each drink is the same price D what is the price of one drink please I need help ​

Answers

Answer:

3

Step-by-step explanation:

9 divide by 3 is 3 itself so the answer is 3

Answer:
The price one drink is $3.

Explanation:

Let $x be the price of one drink.

10 + 3x = 19

3x = 19 - 10

3x = 9

x = 9/3

x = 3
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