cos 2x + 2 sin^2 x = _______

Answers

Answer 1

1

Step-by-step explanation:

cos 2x + 2 sin²x

= (1 - 2 sin²x) + 2 sin²x

= 1 - 2 sin²x + 2 sin²x

= 1


Related Questions

A 12.5-gallon gasoline tank is 1/8 full. How many gallons will it take to fill the tank?

Answers

Answer:

10.9375 gal

Step-by-step explanation:

Volume of the tank = 12.5 galFull = 1/8 of the tankEmpty = 1 - 1/8 = 7/8 of the tank

Volume to fill the empty part:

12.5*7/8 = 12.5 * 0.875 = 10.9375 gal

IGNORE THE BOTTOM ONE PLEASE HELP

Answers

Answer:

see explanation

Step-by-step explanation:

∠ A and ∠ FCE are corresponding angles and are congruent , then

∠ A = 150°

∠ FCE and ∠ C are vertically opposite angles and are congruent , then

∠ C = 150°

∠ FCE and ∠ ECB are adjacent angles on a straight line and sum to 180°

∠ ECB = 180° - ∠FCE = 180° - 150° = 30°

∠ E = 180° - (30 + 45)° ← sum of angles in a triangle

∠ E = 180° - 75° = 105°

∠ CBE and ∠ D are same- side interior angles and sum to 180° , then

∠ D = 180° - 45° = 135°

Use the formula below to find the 10th term in the geometric sequence.
an = (-2)(3)^n-1
A. -13,122
B. -39,366
C. -118,098
D. -354,294

Answers

Answer:

uhhhh I can't explain how but the answer is B. -39,366.

The basketball team scored 49 points in thechampionship game. This is 12 points more than
half of their score in the first round game. How many points did the team score in their first round game?

Answers

49 - 12 = 35
35 * 2 = 70

They scored 70 points in their first round game.

You start with the Championship Game score. This score is 12 points MORE than Half of the first round games score. So if you subtract 12 from the 49 points they got in the championship game then you would get 35 which is half of the first round games score.

Since 35 is half the score, if you multiply 35 by 2 you would get the total First Round Game score of 70.

I need to determine the perimeter of this rectangle 5cm x 9cm
P= cm
A=cm

Answers

Answer:

5+5+9+9 = 28 cm

Step-by-step explanation:

to determine perimeter add the length of each side (2 sides = 5cm and two sides = 9cm.)

Find the surface area and volume of the solid. Round your answers to the nearest hundredth.​

Answers

Answer:

Surface area = 240.34 square units

Volume = 253.03 cubic units

Rectangular prism

Step-by-step explanation:

2(6.8 * 6.1) + 2(6.1 * 6.1) + 2(61 * 6.8) =

82.96 + 74.42 + 82.96 = 240.34

Volume

(6.8 )(6.1)(6.1) = 253.03

PLEASE I NEED HELP RIGHT NOW!!!

The altitude of an airplane is decreasing at a rate of 44 feet per second. What is the change in altitude of the airplane over a period of 37 seconds?

A. -1,628 feet
B. 81 feet
C. -81 feet
D. 1,628 feet​

Answers

Answer:

1628

Step-by-step explanation:

Answer:

Either A or D. But I'd vote on A. Hope this helps! :)

Step-by-step explanation:

PLS MARK BRAINLEST!!!

Describe the translation of the point to its image (-2,5) (3,1)

Answers

Answer:

it is a

Step-by-step explanation:

2-5

2
Find the slope from the 2 points.
(-12,-9) and ( 18, 6)
-2
-1/2
2
1/2

Answers

Step-by-step explanation:

the slope of a line is the ratio y/x.

that means when going from one point to the other, how many units is y changing, when x changes a certain number of units.

so, going from one point to the other here, x changes by 30 units (from -12 to +18). and y changes 15 units (from -9 to 6).

therefore, the slope is

15/30 = 1/2

Find the value of 72% of 90 kg

Answers

Answer:

64.8 kg kilograms

Step-by-step explanation:

please mark brainiest

hope it works out for you

Answer:

the value of 72% of 90 kg:

72 * 90 / 100 = 64,8 kg

What is the slope of the line that is perpendicular to the line that passes through the points (-1,3) and (2,-4)?

Answers

Hey there! Remember that perpendicular lines are the negative reciprocal to the original slope. With that in mind, the best way to find the slope is by using equation m=y2-y1/x2-x1, so then if we plug this in we get:

-4-3/2-(-1)

As -4 is our y2, -3 is our y1, 2 is our x2, and -1 is our y1.

You should get -7/3, that’s the original slope. Since this is a perpendicular line we MUST FLIP it and CHANGE THE SIGN.

So our FINAL answer would be: 3/7

Hope that helps!!!

solve include real and non real solutions.
x^2-8=0

Answers

Answer:

[tex]x=+2\sqrt{2} and-2\sqrt{2}[/tex]

Step-by-step explanation:

[tex]x^2-8=0[/tex]

[tex]x^2=8[/tex]

[tex]\sqrt{x^2} = \sqrt{8}[/tex]

[tex]x=2\sqrt{2}[/tex]

plus or minus

a number is divisible by 3 if the sum of all the digits is divisible by?

Answers

Answer:

3

Step-by-step explanation:

ANSWER QUICK PLEASE!!
Which expression is undefined?
A. (10 - 10) / 10
B. 0 divided by 3/4
C. 3 / (7 - 7)
D. (-5 - 0) / 5

Answers

Answer:

c...........3/(7-7) is the undefined expression

c ! because the denominator is a 0.

The current United States population is about 314,000,000 people. If an iPad costs $500.00, what would be the total cost of purchasing an iPad for each person? ​

Answers

Answer:

157,000,000,000

Step-by-step explanation:

314,000,000 X 500

A submarine dives 51 3/5 meters below the surface of the water in 4 minutes. how many meters does the submarine dive each minute? NO LINKS!
A: 12 9/10
B: 12 3/4
C: 206 2/5
D: 47 3/5

Answers

Answer:

a

Step-by-step explanation:

51 3/5 = 258/5

258/5 / 4 = 12.9 (meters the submarine dives each min)

now we have to find out what 12.9 is as a fraction!

12.9= 12 9/10 because .9 is equal to 9/10, and 12. equals 12!

Determine which of the following is a geometric sequence.
A. 2, 5, 8, 11
B. 2, -6, -18, -24
C. 3, -6, 12, -24
D. 3, 6, 18, 36

Answers

Step-by-step explanation:

A is in geometric sequence as 3 is added in the number,

2 + 3 = 5, 5 + 3 = 8, 8 + 3 = 11

hope this answer helps you dear...take care and may u have a great day ahead!

(-14)x=+56??????????????????????

Answers

Take the (-14) on the left and divide it with the 56 on the right. That isolates the x, so x=-4

Mrs. O'Brian purchased 3 gallons of
strawberries for $1.00 per pint. How
much did the strawberries cost?

Answers

Answer:

$24

Step-by-step explanation:

3 gallons = 24 US pints

24 * $1 = $24

someone help i’ll mark brainliest!!! Find the equation of the line through (7,1)
that has a slope of 1/2
Express your answer in General (Standard) Form.

Answers

Answer:

y=1/2x - 2.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can use the point-slope formula to write an equation for this line. The point-slope formula states :

where m  is the slope and (x1   y1)  is a point the line passes through .

We can substitute the slope and values from the point to give:

(y-1) = 8 (x-7)

We can also transform this equation to the slope-intercept form by solving for  

y

. The slope-intercept form of a linear equation is: y=mx+b

where the m is the slope and b s the y-intercept value.

y-1= (8 times x) - ( 8 times 7)

y-1=   8x - 56

y-1 + 1= 8x- 56 + 1

y-0=  8x- 55

y= 8x - 55

considering the line negative x -6 y equals -6 what is the line perpendicular with a slope of a line perpendicular to this line what is the slope of the line parallel to this line​

Answers

9514 1404 393

Answer:

  perpendicular: undefined

  parallel: zero

Step-by-step explanation:

The line y = -6 is a horizontal line. Between any two points on the line, the difference in y-values is zero, and the difference in x-values is non-zero. The slope of this horizontal line is the ratio of these differences:

  slope = 0/(non-zero) = 0

Any parallel line will have the same slope. The slope of a parallel line is 0.

__

A line perpendicular to a horizontal line is a vertical line. It will have the equation x = constant. Between any two points on the line, the difference in y-values is non-zero, and the difference in x-values is zero. The slope of this vertical line is the ratio of these differences:

  slope = (non-zero)/0 = undefined

The slope of the perpendicular line is undefined.

Simplify: 3!
A) 3
B) 6
C) 1
D) 5

Answers

3! = 3 • 2 • 1 = 6

Therefore, the correct answer is B: 6

Please mark my answer as the Brainliest if you find this solution helpful :)

57²⁰¹⁸ and 51²⁰²⁰, which one is larger? (57^2018 vs 51^2020)

Answers

Answer:

steps below

Step-by-step explanation:

Set    log x = a     and     log y = b

x = 10ᵃ     and       y = 10ᵇ

if a>b      10ᵃ > 10ᵇ

so  x > y

x = 57²⁰¹⁸              y = 51²⁰²⁰

log x = log 57²⁰¹⁸ = 2018 * log 57 = 3543.36 :  (a)

log y = log 51²⁰²⁰ = 2020 * log 51 = 3449.29 : (b)

3543.36 > 3449.29       log x > log y    

x > y:        57²⁰¹⁸ > 51²⁰²⁰

susie change 500 dollars to euros $1 = 1.0697 euros​

Answers

Answer:

€ 534.35

Step-by-step explanation:

Use the rate to change:

$1 = €1.0697$500 = xx = 500*1.0687 = 534.35

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Here's the conversion :

$ 1 = € 1.0697

$ 500 = € 1.0697 × 500

$ 500 = € 534.85

How many square feet of outdoor carpet will we need for this hole?

Answers

Answer:

30 square feet

Step-by-step explanation:

Multiply

3 Equivalent ratioS for 7:9

Answers

Answer:

21:27

14:18

35:45

Step-by-step explanation:

These are only a few

Enter the ratio as a fraction in lowest terms 14 minutes to 18 minutes

Answers

Answer:

Part A is 7/16 of the whole
Part B is 9/16 of the whole

Solution:
Assuming there are no other parts,
the Whole = A + B is the denominator:
Whole = 14 + 18 = 32

Part A = 14 and Part B = 18 are numerators for each fraction.

The fractions are then:
14/32 and 18/32

Meaning:
Part A is 14/32 of the whole
Part B is 18/32 of the whole

Reducing the fractions, it is also true that:
Part A = 7/16 of the whole
Part B = 9/16 of the whole

Answer:

Step-by-step explanation:

14+18=32

14/32,18/32

7/16,9/16

Needing help with geometry

Answers

Answer:

Bro can you send your question

Answer:

whate your questions bro

Write an equation for the description.

Hector is visiting a cousin who lives 300 miles away. He has driven 95 miles. How many more miles does
he need to drive to reach his cousin's home? Let d be how many miles left to reach his cousin's home.

Answers

d=300-95
d=205
Hector has 205 more miles to go

Given the diagram, complete the two-column proof and
solve for x.

Answers

Answer:

x=7

Step-by-step explanation:

11x+57=15x+29 [Alternate exterior angles]

57-29=15x-11x

28/4=x

7=x

Answer:

Nnnnnnnnnnnnnnn

7x =x

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