I have been stuck on this problem for a while and tried different methods but still quite didn't get the answer. Can someone help me? ​

I Have Been Stuck On This Problem For A While And Tried Different Methods But Still Quite Didn't Get

Answers

Answer 1

Answer:

x = 180degrees

Step-by-step explanation:

Given the expression;

cos²x + 3cosx + 2 = 0

Let P = cosx

P² + 3P + 2 = 0

Factorize

P² + 2p + P + 2 = 0

P(P+2)+(P+2) = 0

(P+2)(P+1) = 0

P = -2 and P = -1

Substitute P = cosx

cos x = -1

x = arccos(-1)

x = 180degrees

Hence the value of x is 180degrees


Related Questions

The order of numbers is not important in ____________ of rational numbers.​

Answers

Answer:

addition?

Step-by-step explanation:

What is the area of the trapezoid in the coordinate plane? Show your work.
NEED HELP PLZZZ

Answers

Answer:

A=36 square units

Step-by-step explanation:

Consider the equation 5 + x = n. What must be true about any value of x if n is a negative number?​

Answers

Answer:

it must be a negative number less than -6

Step-by-step explanation:

PLEASE HELP ASAP!!
What is the vertex of the graph and is the vertex a maximum or minimum?

А. (1, 3); maximum

B. (-1,-1); minimum

C. (3, 1); maximum

D. (0, 2); minimum

Answers

(A)

Step-by-step explanation:

The vertex is located at (1, 3) and it's a maximum.

Hey guys I need help please show your work worth 20 points

-8x-14>2
-

Answers

Answer:

x > - 2

Step-by-step explanation:

- 8x - 14 > 2

- 8x - 14 + 14 > 2 + 14

- 8x > 16

- 8x ÷ - 8 > 16 ÷ - 8

x > - 2

if u subtract 12 from a number and multiply the result by 12 you get 18. what is the number​

Answers

12(x-12)=18
x-12=18/12
x-12=3/2
x=3/2+12
x=3/2+24/2
x=27/2

Answer:

Answer is 13.5

Step-by-step explanation:

13.5 - 12 = 1.5

1.5 X 12 = 18

the diameter is a circle is 16in. Find it’s circumference in terms of π.

C= ________in

Answers

S O L U T I O N :

According to the question,

Diameter of circle = 16 in

We are asked to calculate it’s circumference in terms of π.

Circumference of circle = 2πr

___________________________________

Let us first calculate the radius of the circle.

→ Diameter = 2 × Radius

→ 16 in = 2r

→ r = 16 in ÷ 2

→ r = 8 in

___________________________________

Substituting values in the formula of circumference,

→ C = 2πr

→ C = (2 × π × 8) in

C = 16π in

Therefore, 16π inches is the required answer.

In a sale, normal prices are rediced by 10% Nathalie bought a pair of shoes in a sale for 54

Answers

Answer:

they take 5 dollars and 40 cents off of it so it would be $48.60

Two functions are shown. f(x) = 3x+1 g(x) =-3/2X-7 What is the value of x when f(x) = g(x)

Answers

Answer:

-1.778

Step-by-step explanation:

The two lines cross at the point (-1.778,-4.333), but the x value is -1.778

Hope this helps

There is a photo. No explanation needed just answer thank you

Answers

It’s 125 because 5 over 3 is 5 (3) times so 5x5x5= 125 hoped this helped.

what is the sum of the integers between the square root of 37 and the square root of 98?

Answers

The sum of the integers between the square root of 37and the square root of 98 is 6 and 7



Can you find the
rectangle's perimeter


I’m marking branliest

Answers

Answer:

P = 10x+4

Step-by-step explanation:

The perimeter of a rectangle is given by

P = 2(l+w) where l is the length and w is the width

P = 2( 3x+2+ 2x)

Combine like terms

P = 2(5x+2)

Multiply by 2

P = 10x+4

In order to select new board members, the French club held an election. 30% of the 20 members of the club voted. How many members voted?

Answers

Answer:

6

Step-by-step explanation:

30%*20 = 6

please helps?!?!?!?!?!?!?!?!?!

Answers

Answer:

[tex]47x^3\sqrt{5x}[/tex]

Step-by-step explanation:

The objective is to combine the terms to make one radical, so therefore we know that we will have to take a [tex]\sqrt{5}[/tex] out of the second radical [tex]\sqrt{180}[/tex].

If we divide 180 by 5, we will get 36, so now we have

[tex]\sqrt{180}=\sqrt{5}[/tex]×[tex]\sqrt{36}[/tex]

[tex]\sqrt{36}[/tex] can be simplied into just 6.

So now the expression becomes

[tex]-\sqrt{5x^7}+8x^2*6 \sqrt{5x^3}[/tex]

Then we can further simplify by moving the [tex]x^{2}[/tex] into the radical to get two common terms with [tex]\sqrt{5x^7}[/tex].

[tex]x^{2} =\sqrt{x^4}[/tex], so we now have

[tex]-\sqrt{5x^7}+ 8\sqrt{x^4} *6 \sqrt{5x^3}[/tex]

So then we can combine the two radicals to get the expression to

[tex]-\sqrt{5x^7}+48\sqrt{5x^7}[/tex]

We now see that we have two terms with a common radical, and coefficients of -1, and 48.

That allows us to simplify further to

[tex]47\sqrt{5x^7}[/tex]

Here, we can take out [tex]\sqrt{x^6}[/tex], which is [tex]x^3[/tex], and get the final simplied form to be

[tex]47x^3\sqrt{5x}[/tex]

Hope this helped.

What is the area of this figure? 5 in 6 in 15 in 16 in 10 in 20 in​

Answers

Answer:

230 in.²

Step-by-step explanation:

20 · 10 = 200 in.²

5 · 6 = 30 in.²

200 in.² + 30 in.²

Answer:

230 sq in

Step-by-step explanation:

You can find entire area (20 x 16) and subtract out the area of the missing piece (15 x 6)

20 x 16 = 320

15 x 6 = 90

320 - 90 = 230

I need some help finding the volume of a sphere with a diameter of 18.6cm. The website says the answer I got from my calculator was wrong! Help would be greatly appreciated!

Answers

Answer:

V = 3,367.6 cm³

Step-by-step explanation:

Diameter of sphere (D) = 18.6 cm

radius (r) = ½(18.6) = 9.3

π = 3.14

Formula for volume of a sphere = ⁴/3πr³

Plug in the values

V = ⁴/3 × 3.14 × 9.3³

V = ⁴/3 × 3.14 × 804.357

V = (4*3.14*804.357)/3

V = 3,367.57463

V = 3,367.6 cm³ (nearest tenth)

Regina has 24 inches of ribbon for a craft project. Tommy has 2 yards of ribbon. Choose the true statement below. (1 yard = 3 feet; 1 foot = 12 inches)


Regina has 22 feet more ribbon than Tommy.

Regina has 15 feet more ribbon than Tommy.

Regina has 4 feet more ribbon than Tommy.

Tommy has 22 feet more ribbon than Regina.

Tommy has 15 feet more ribbon than Regina.

Tommy has 4 feet more ribbon than Regina. plz answer quick i give extra points and brainlyest

Answers

Answer:

f

Step-by-step explanation:

because 24 inches is 2 feet and 2 yards is is 6 feet

6c + 7c + 5y + 2c + 7y
Thank u ahead of time:)

Answers

Answer:

15c+12y

Step-by-step explanation:

6c + 7c + 5y + 2c + 7y

13c+2c +12y

15c+12y

have a great day!

A random sample of internet subscribers from the west coast of the United States was asked if they were
satisfied with their internet speeds. A separate random sample of adults from the east coast was asked the same
question. Here are the results:


A market researcher wants to perform a x2 test of homogeneity on these results.
What is the expected count for the cell corresponding to east coast subscibers who
responded "yes"?
You may round your answer to the nearest hundredth.

Answers

Answer:

19.2

Step-by-step explanation:

khan

The expected count for the cell corresponding to east coast subscribers who responded "yes" is 19.2.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

We need to first calculate the expected frequencies for each cell under the assumption that the null hypothesis of homogeneity is true.

The null hypothesis of homogeneity assumes that the proportion of internet subscribers satisfied with their internet speeds is the same on both the east and west coasts of the United States.

To calculate the expected frequencies, we can use the formula:

Expected frequency = (row total x column total) / grand total

For the cell corresponding to east coast subscribers who responded "yes":

Expected frequency = (row total for east coast x column total for "yes") / grand total

= (80 x 48) / 200

= 19.2

Therefore, the expected count for the cell corresponding to east coast subscribers who responded "yes" is 19.2.

To learn more on Statistics click:

https://brainly.com/question/30218856

#SPJ2

Please help
The number of high school seniors graduating from a certain high school increases each year. The equation y = 21.8571x + 309.3333 is the least squares regression line for the number of high school seniors, y, graduating from a high school x years since 2010. For each subsequent year, about how many more seniors graduate from the high school? Round to the nearest whole number

Answers

Answer:

22

Step-by-step explanation:

The 309.3333 is the base amount of seniors that graduate each year, the x is the number of years, so the 21.8571 is the number of students they increase by. This answer is 100% I took the final and got it right. Hope this helps!!  :)

Answer:

22

Step-by-step explanation:

could someone just edit this and show me what u got by attaching a picture pls????? I NEED HELP IMMEDIATELY!!!! PLS HELPP. PLS DO NOT GUESS EITHER BUT PLS CMON AND HELP ME PLSSS

Answers

Answer: answers down below in the picture

lol i tried my best placing the dots and labeling .. sorry.. if you don't understand pls let me know

Photo Attached :)

I hope I did it correctly, just a little tedious.

Figure B is a scale image of Figure A, as shown. What is the scale factor applied to
Figure A to produce Figure B?

Answers

Figure B is 3.75 times bigger then figure A.
The scale factor is 3.75.

Let’s figure out one more adjustment for the butterscotch chip cookies. The butterscotch chip cookie recipe calls for 12 ounces of chips for every 2 cups of flour. How many ounces of chips are needed if 3 cups of flour are added?


Remember to keep your units consistent.

Answers

I believe it would 18 ounces of chips for 3 cups of flour. If you take half of 12 ounces then you get 6 ounces per cup of flour. Adding 6 ounces to the 12 would get us the total of the 18 ounces.

The scatter plot below shows the relationship between two variables, x and y. Which line best fits the data? У 30 25 20 15 10 5 У 30 25 20 15 10 5- 0 2 3 5 x 1 2 3 4 5 X y 30- 25 20- 15- у 30 25 20- 15 10- 5- 0 0 10- 5- 0 0 1 2 x 3 4 5 5 4 1 2 3​

Answers

The variables on a scatter plot are related using the equation of a straight line graph; y = mx + c.

What is a scatterplot?

Since the options are unclear, I will try to help you as much as possible. A scatter plot is an arrangement in which one variable is plotted on the vertical axis and another is plotted on the horizontal axis.

The variables on a scatter plot are related using the equation of a straight line graph; y = mx + c. Using this relation, we can establish the equation of the scatter plot.

Learn more about scatterplot: https://brainly.com/question/15289741?

One of the base angles in an isosceles triangle is 75 degrees, then its exterior angle is
A. 105 degrees
B.75 degrees
C. 285 degrees
D, 30 degrees

Answers

Answer:

105 degrees

Step-by-step explanation:

Supplementary angles add up to 180 degrees.

You just gotta subtract your given (in your case 75) from 180 to get your answer my guy

Answer: 105

Triangle sum theorem 180-75=105

You shuffle a deck of 26 cards representing the letters of the alphabet. You randomly select a card from the deck. What is the theoretical probability that the card represents one of the letters in the word "skateboard"?

Answers

Answer:

0.38461538461

Step-by-step explanation:

skateboard has 10 letters. there are 26 cards

[tex]p(a)=\frac{number of favorable outcomes}{possible outcomes}[/tex]

10/26=

solve 3x by 4 - 2x+5 by 3 = 5 by 2​

Answers

Answer:

50

Step-by-step explanation:

The given equation is,

→ 3x/4 - (2x + 5)/3 = 5/2

→ 3x × 3 - 4(2x +5)/12 = 5/2

→ 9x - 8x -20/12 = 5/2

→ (x - 20)/12 = 5/2

→ x - 20 / 6 = 5

→ x - 20 = 30

→ x = 20 + 30

x = 50

Hence the value of x is 50 .

Answer:

x=50

Step-by-step explanation:

Ram deposited a sum of Rs 4500 in a bank at the rate of 8% per year for 2.5 years find the interest of the sum and find the amount received by him at the end of 4 years​

Answers

Step-by-step explanation:

..I have Solve the question in the pic.

Interest = principal * rate * time
I = PRT
P = 4500
R = 8% = 8/100
T = 2.5 yr

I = 4500 * 8/100 * 2.5
I = 900

Amount = interest + principal
A = I + P
I = 4500 * 8/100 * 4 = 1440
P = 4500

A = 1440 + 4500 = 5940

Solve for x in the diagram below.
(2x + 45)

Answers

Where’s the diagram ?

There is just enough water in the container to exactly fill the

hemisphere. The container is held so that the point of the cone

is down and the altitude of the cone is exactly vertical. Find the

height of the water in the cone. Round to the nearest tenth.

Answers

Answer: hello your question is Vague hence I will provide a general solution. in which you can input your values into  and get your answer.

answer = h  = 3 ( V / π r^2 )  

Step-by-step explanation:

The volume of a cone is exactly the volume of a hemisphere, given that the radius and height are the same .

The height of the water in the cone = height of the hemisphere / height of cone ( given that the water completely fills the hemisphere )

∴ h  = 3 ( V / π r^2 )

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