What is the value of 2cos2(105⁰) − 1?

Answers

Answer 1

Step-by-step explanation:

-1 - root3

Answer 2

The value of the given expression 2cos2(105⁰) − 1 is,

⇒ - 1 - √3

What is trigonometric functions?

A right-angled triangle's angle can be related to side length ratios using trigonometric functions, which are real functions in mathematics. They are extensively used in all geosciences, including navigation, solid mechanics, celestial mechanics, geodesy, and many others.

We have to find the value of;

⇒ 2cos2(105⁰) − 1

Now, We can Plug 105° = θ

So, the expression becomes,

⇒ 2cos2θ - 1

Using the formula;

cos2θ = 1 - 2sin^2θ

We get;

⇒ 2cos2θ - 1 = 2(1-2sin^2θ) - 1

                    = 2 - 4sin^2θ - 1

⇒ 2cos2θ - 1 = 1 - 4sin^2θ

Now, Again plug θ = 105°

⇒ 2cos2(105°) - 1  = 1 - 4sin¹⁰⁵

⇒ 2cos2(105°) - 1  = -1 - √3

Hence, The value of the given expression is,

⇒ (-1 - √3)

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Related Questions

an angle measures 94°. what is the measure of its supplement?

Answers

Answer:

86

Step-by-step explanation:

180-94

please answer fast! teehee

Answers

Answer:

y = 9

Step-by-step explanation:

∆KLH is congruent to ∆FLH by the Hypotenuse-Leg Congruence Theorem.

Therefore,

m<KHL = m<FHL

Thus:

6y = 4y + 18

6y - 4y = 18 (subtraction property of equality)

2y = 18

y = 18/2 (division property of equality)

y = 9

Answer: teeheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

Yo u soooo cool wannaaaaaa be be friends itsa song LOL..........

You throw a ball straight up from a rooftop. The ball misses the rooftop on its way down and eventually strikes the ground. A mathematical model can be used to describe the relationship for the ball's height above the ground, y after x seconds.

Find the quadratic function y=ax^2+bx+c whose graph passes through the given points.

1 -> 339
3 -> 271
4 -> 189

Answers

Answer:

1

Step-by-step explanation:

What is the independent variable of y=3.5x+2.8

Answers

I think it’s 9.8 not really sure

Answer:its y  and x = 6.3

Step-by-step explanation:

look

Mr. Vitorello spends 35% of his salary on rent. He makes $2,500 each month. How much does he spend on rent each month?

Answers

Answer: He spends 875 a month on rent.

Step-by-step explanation:

35 x 2500  = 87500

87500 / 100 = 875

Hope this helps :)

Answer:

He spends $10,500

Step-by-step explanation:

Since salary is yearly we multiply 2500 by 12 and we get 30000

And 35% of 30000 is 10500

There are 211 basketball fans who plan to go to a game. How many buses will be needed, given that each bus can hold 48 fans?

Answers

4 buses you just divide 211 by 48

. A fence encloses a triangular field. There is
a vertical wooden fence post at each corner
(vertex) of the field, and vertical
Posts
all
along the fence, placed 5 feet apart. If the
sides of the field measure 20 feet by 35 feet
by 25 feet, how many posts are there
altogether?

Answers

Answer:

16 posts

Step-by-step explanation:

Sides are:

20 ft, 25 ft and 35 ft

There are following number of posts on each of the sides:

20 ft side ⇒ 20/5 = 425 ft side ⇒ 25/5 = 535 ft side ⇒ 35/5 = 7

Total number:

4 + 5 + 7 = 16 posts

Enter the slope of the line through the points (4, 15) and (4, 12). *

Answers

Answer:

-3/0 is the slope....or just -3.

Step-by-step explanation:

slope method = m= y2 - y1/ x2 - xm = 12 - 15/ 4 - 4 = -3/0 or just -3 simplified.

10 points pls help me this is urgent if i don’t do this i won’t pass

Answers

Answer:

Here's something to help you

Step-by-step explanation:

I'm using the second question as an example.

To find the Unit Rate, you have to divide the amount of money by the amount of whatever the product is

5.99/8= 0.74875

Since the question says to round it to the nearest hundredth, that means the price per unit (unit rate, or the price for one battery here) would be about $0.75. Simple, right?

What is the slope of the line in the graph?
PLEASE HURRY

Answers

-5, 5 Hope it helps :D

Ava is making Vampire punch for the Halloween party. The recipe makes 12 servings and calls for 3/5 cups of cranberry juice. how much cranberry juice will she need for 15 servings

Answers

Answer:

15/20 cups of cranberry juice

Step-by-step explanation:

3/5 cranberry juice makes 12

12/2=6

3/5= 0.3

6/2=3

0.3/2= 0.15

0.15 = 3/20

3/20 cranberry juice makes 3 servings.

add 3 and 12 to make 15 servings, add 3/5 and 3/20.

3/5= 12/20

12/20 + 3/20 = 15/20 cups of cranberry juice

I need answer as quick

Answers

Answer:

C

Step-by-step explanation:

(x+7)(x+1)(x+4)=

x^3+12x^2+39x+28 or C

Answer:

C

Step-by-step explanation:

Given

(x + 7)(x + 1)(x + 4) ← expand the second/ third factors using FOIL

= (x + 7)(x² + 5x + 4)

= x(x² + 5x + 4) + 7(x² + 5x + 4) ← distribute both parenthesis

= x³ + 5x² + 4x + 7x² + 35x + 28 ← collect like terms

= x³ + 12x² + 39x + 28 → C

Complete the pattern. 1, 2, 4, 8, 16, __, __, __

Answers

Answer:

1,2,4,8,16,32,64,128

Step-by-step explanation:

You just multiply the number by two to get the next number in the pattern

Martha read 1/6of her library books on Saturday and 5/12 of her book on Sunday, how much more does Martha have left to read

Answers

Answer: She has 5/12 left of her book to read as well

Step-by-step explanation:

Martha read 1/6 books on Saturday and 5/12 books on Sunday, then the books left to read will be 5/12.

What are arithmetic Operations?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the given information in the question,

Books read by Martha on Saturday = 1/6

Books read by Martha on Sunday = 5/12

Then, the number of books left to read is,

1 - (1/6 + 5/12)

Take LCM as 12,

[12 - (2 + 5)]/12

= (12 - 7)/12

= 5 / 12

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The circumference of a circular piece of plot is 440m. find the area
pie is 22/7

Answers

Answer:

Step-by-step explanation:

Circumference = 2pi r

440 = 2 *22\7 *r

70 = r

Area= pi r^2

Area= 22\7 *70*70

Area =15400

X3.1.PS-7
Question
A local little league has a total of 60 players, of whom 40% are right-handed. How many
right-handed players are there?

Answers

24 right-handed players

Offering Brainliest , a 5 star review, and a like on your answers if you can successfully answer these last 2 simple coordinate questions and show some work.

Answers

Answer: pretty sure it's -1,1

M ( 3 , 1 )

Step-by-step explanation:

Answer:

J ( -1 , 1 )

M ( 3 , 1 )

Explanation:

When moving coordinates left = subtract from previous X position

When moving coordinates right = add from previous X position

When moving coordinates up = add from previous Y position

When moving coordinates down = subtract from previous Y position

find the slope of the line please help!

Answers

Answer:

3/8 or .375

Step-by-step explanation:

Slope is always rise over run you rise 3 and run( to the left in this case ) 8 so your slope is 3/8

The cost to rent a moving van is $61 plus an additional $26 per hourIf a moving van rented for 17 hours, what is the cost? Write and solve an equation to find the answer.

Answers

Answer:

y = 503

Step-by-step explanation:

y=mx+b

y=26(17)+61

y=442+61

y=503

A solution contains 11 pints of antifreeze and seven pints of water . How many pints Of water must be added to 77 pints Of antifreeze to get a solution with the same concentration.

Please help me with question I don’t get it.

Answers

Answer:

49 pints of water

Step-by-step explanation:

that's the answer to the question

Answer: 49 pints

Step-by-step explanation: if they had 11pints of the anti freeze. And they multiplied it by 7 to get to 77! Therefore you take the multiplier that they used which was 7 and us it to the 7 pints. So then you will be multiplying 7x7 which would be 49.

278×125 k12k12k1k1k21k21k2k1212k1k21kk21k21k21k2k1k21k2

Answers

hajsjsjsjdjsjjahahagayaghdicidiabavabbwbebeb

Answer:

275 × 125 = 34,375

Hope this helps!! Please consider marking brainliest! Have a good one!!

Step-by-step explanation:

      2 7 5

×       1 2 5

+     1 3 7 5

+     5 5 0  

+   2 7 5    

=  3 4 3 7 5

Jason practiced making soccer goals and kept her track of the results. He missed 3 goals but made 9 in one practice session. What can Jason predict regarding goal made if his next practice session has 24 tries?

Answers

He can predict to make 8 out of 24

If we find that the null hypothesis, Upper H Subscript 0 Baseline colon beta Subscript j Baseline equals 0, cannot be rejected when testing the contribution of an individual regressor variable to the model, we usually should:___________

Answers

Answer:

Remove the variable from the Model

Step-by-step explanation:

Normally, when considering which variable to keep and which one to drop when considering testing of the contribution of an individual regressor variable to the model, generally speaking we use one explanatory variable for between 10-15 observations.

Now, before we run our regression, we would need to run correlation analysis between all explanatory variables to detect if there's any multicollinearity, and also between the dependent variable and the regressors in order to determine the most important predictors to be included in the regression.

So after the analysis, for the null hypothesis not to be rejected, we will remove the variable from the Model.

HELPPP please dont skip

Answers

Answer:

B

Step-by-step explanation:

Trust

5x+2(x+6)

A.7x+6

B.7x^2+12

C.7x+12

D.7x(x+6)

Answers

C. 7x+12 is the correct answer

You deposit $600 in a account earning 5% interest compounded annually. How much will you have in the account in 15 years?

Answers

Answer:

$1050 in total including the interest.

Step-by-step explanation:

The answer is 1050 because 5% of 600 is 30 and 30 multiplied by 15 is 450, and 600 plus 450 is 1050

WILL GIVE BRAINLEST What expression can be used to determine the total cost of buying c pounds of cashews for ​$ 2.95 per pound and s pounds of sugar for ​$0.72 per​ pound? Choose the correct expression for determining the total cost.
2.95c -0.75s
3.67-(c+s)
2.95 + 0.72s
0.72 + 2.95s

Answers

Answer:

1pound of granola= $3.25

g pound of granola=g*3.25

=3.25g$

1 pound of flour = 0.74$

f pound of flour = f*0.74

= 0.74f$

The expression to determine the total cost of buying the above items= (3.25g+0.74f)

Step-by-step explanation:

G
Use the graph to answer the question.
y
6
R
5
4
3-
2
1
O
3
What are the coordinates of point R on the graph? Choose numbers to move to the lines to answer the question,
5
6
0
1
2

Answers

Answer: 0,5

Step-by-step explanation:

Pls hurry I’m being timed

Answers

I believe the answer is “A”

Answer:

I think the answer is A

Step-by-step explanation:

makes sense

C. Use the activity series of metals to predict the products of the following single-replacement
reaction. Explain your answer. (1 point)
NiCl2 + Fe →

Answers

Answer: NiCl2 + Fe

Iron is above nickel in the activity series, so iron will replace nickel like this:

NiCl2 + Fe → FeCl2 + Ni

Cu(OH)2 is insoluble, so it will form a precipitate.

Step-by-step explanation:

hope this helps =)

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