Prove : Cos^4A+sin^4A=1/4(3+cos4A)

Answers

Answer 1

Answer:

1 = (sin^2 A + cos^2 A)^2 = sin^4 A + cos^4 A + 2 sin^2 A cos^2 A

so

sin^4 A + cos^4 A

= 1 - 1/2 sin^2 2A

= 1 - 1/4 (1- cos 4A)

= 1/4 (3+cos 4A)

Step-by-step explanation:

hope I helped


Related Questions

A cart rolls 2 m to the right then rolls back 1 m to the left.
What is the displacement of the cart from the initial to the final positions?

HELP PLEASE

Answers

Answer:

3 m is the displacement

Step-by-step explanation:

because the distance traveled is how much you really move necessarily is the distance from where you started to where you ended in a sraight line, not every single move you made, and the displacement is how much you moved altogether in any and every direction even if you went in circles. hope this helps!! love yawl, stay safe!! <3 <3 <3 <3 <3 <3 <3

The displacement of the cart will be "3 m".

Towards the right,

The distance covered by the cart is:

= 2 m

Towards the left,

The distance covered:

= 1 m

hence,

→ [tex]Total \ distance = Sum \ of \ the \ distances[/tex]

                           [tex]=2 +1[/tex]

                           [tex]=3 \ m[/tex]

So the above answer is correct.

Learn more about the displacement here:

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abbi invested 1000 in a certificate of deposit with a simple interest rate of 3% . find the interest earned in 6 years then find the total of principal plus interest

Answers

Answer: interest = 180

Amount 1000 + 180 = 1180

Step-by-step explanation:

SI = prt / 100

(1000 x 3 x 6)/100

18000/100 = 180

A rectangular prism has a length of 6 cm, a width of 3 cm, and a height of 412cm.

The prism is filled with cubes that have edge lengths of 12 cm.



How many cubes are needed to fill the rectangular prism?

Enter your answer in the box.

To fill the rectangular prism,
cubes are needed.

Answers

Answer: To fill the rectangular prism, 4 cubes are needed.

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of the prism and divide it by the volume of one cube:

Volume of a rectangular prism = Length x width x height

V P = 6x3x412 = 7,416 cm3

Volume of a cube = side length^3

VC = 12^3 = 1,728 cm3

Finally;

Volume of the prism / volume of one cube = 7,416 /1,728 = 4.29 = 4 cubes

Feel free to ask for more if needed or if you did not understand something.

Answer:

I'm pretty sure he is correct but I have not completed the test quite yet. Refer to him if you want.

Step-by-step explanation:


[tex] 8.4^3 \times 8.4^2 = [/tex]
help ​

Answers

Answer: 41821.19424

Step-by-step explanation:

-3+m --------- = 10 9

Answers

Answer:

proper answer pls

Step-by-step explanation:

Calculate the mean given the frequency table
Class
Frequency
0-9
24
10-19
20
20-29
32

Answers

Answer:

15.6

Step-by-step explanation:

First, multiply the midpoint of each class by its frequency, as follows:

            Class      midpoint   frequency   midpoint*frequency  

            0-9         4.5             24                4.5*24 = 108

            10-19      14.5            20                14.5*20 = 290

            20-29    24.5           32                24.5*32 = 784

Total                                      76               1182

The mean is computed as the division between the addition of the "midpoint*frequency" column by the addition of "frequency" column.

mean = 1182/76 ≈ 15.6

 

which of the following describes the zeros of the graph...​

Answers

Answer:

d) 0 with multiplicity 3 , -3 with multiplicity 1 and - 6 with multiplicity 1

Step-by-step explanation:

Explanation:-

Given  polynomial equation  

                   ⇒        - x⁵ + 9 x⁴ - 18 x³

                    ⇒     - x³ ( x² - 9 x + 18 )

                    ⇒    - x³ ( x² - 6 x  - 3 x + 18)

                    ⇒    - x³ ( x(x -  6)  - 3( x - 6))

                   ⇒     - (x-0)³ (x-6)(x-3)

∴ The Zeros of the given function is 0 with multiplicity 3 , -3 with multiplicity 1 and - 6 with multiplicity 1

                       

Solve the equation using square roots.

[tex]3x^{2} -12=0[/tex]

Answers

Answer:

x = 2, x = - 2

Step-by-step explanation:

3x² - 12 = 0

3x² = 12

x²= 12/3

x²= 4

√x² = +/- √4

x = +/- 2

x = 2, x = -2

100 POINTS!!! WILL MARK BRAINLIEST FOR CORRECT ANSWER AND STEP BY STEP EXPLANATION! PLEASE ANSWER BOTH QUESTIONS

Answers

Answer:

840[tex]cm^{2}[/tex]

Step-by-step explanation:

8×6×15=720

5×6×4=120

720+120=840

Answer:

V= 840cm^3,   V=800cm^3

Step-by-step explanation:

First you want to calculate the volume of the entire imaginary prism, 12×15×6

=1080,

afterwards you want to calculate the missing volume, which you can think of as a bite. First, find the sides.

12-8=4            5-15=10

Now calculate the volume of the bite, 4×10×6

=240

Now take the bite out of the sandwich, 1080-240

= 840

Follow the same steps, though this time the sides of the "bite" are given.

10×12×8

= 960

4×5×8

= 160

960-160 = 800 cm

would you rather have a pool thats 40ft x 9ft x 4ft or a pool that 7yds x 4yds x 2yds \

explain please

Answers

Answer:

I would rather have the pool that is 40ft x 9ft x 4ft.

Step-by-step explanation:

I hope this helps!

Please answer The attachment correctly below.

Answers

Answer:

$55

Step-by-step explanation:

do PEMDAS

do parenthesis first

then multiply

6.75 plus 4.25 is 11

multiply 11 by 5

how do you find volume if you only have the surface area

Answers


To find the volume of a cube from its surface area, first use the formula for surface area to find the length of one side of your cube. To do this, plug the surface area you're given into the formula, which is surface area = 6x^2, where x is the length of one side of the cube. Then, solve for x.

Tollows.
1. For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost of babysitting.
When finished writing the equation, graph your line and answer the questions.
Equation: _y=5*x+3
If the babysitter made 48 dollars, how long did they babysit for?

Answers

Answer:

The equation is y=5x+3. If she made 48 dollars, she babysat for 9 hours.

Step-by-step explanation:

y= $48

48=5x+3

48-3=45

45=5x

45/5=9

x=9

To plot on graph, put one point at point (0,3), then, go up 5, over 1, and plot another point. Keep doing that until you have a few points and then use a ruler ot connect the dots.

please help with numbers 5 and 6

Answers

The answer of question no 5 is 46

The answer of question no 6 is 79

Look at the attached picture

Hope it will help you

Which of the following rational functions is graphed below?

Answers

Answer:

option B

Step-by-step explanation:

We can see in the graph that the function has two values of x where the value of y goes to infinity: x = -6 and x = 6.

These points where the value of the function goes to infinity usually are roots of the polynomial in the denominator of a fraction (when the values of x tend to these values, the denominator of the fraction tends to 0, so we have a discontinuity in the function).

So the option that represents a function that have these points in x = -6 and x = 6 is the function in option B.

The other options show functions that have only one point that goes to infinity.

Answer:b

Step-by-step explanation:

Solve for missing angle, show your work : HELP!

Answers

Answer:

105

Step-by-step explanation:

The interior angles must sum to 360

360-91+82-82 = 105

Find the quotient of 6x^3-18x-12x/-6x

Answers

Answer:

Step-by-step explanation:

[tex]\frac{6x^{3}-18x^{2}-12x}{-6x}=\frac{6*x^{3}-6*3*x^{2}-6*2x}{-6x}\\\\=\frac{6x*[x^{2}-3x^{1}-2]}{-6x}\\\\=\frac{x^{2}-3x-2}{-1}\\\\\\=-x^{2}+3x+2[/tex]

Express each of the following as a rational number and represent them on the same number line :1/4 0.75 and -3

Answers

Answer:

Step-by-step explanation:

1/4

0.75= 75/100=3/4

-3=-12/4

The following is a rational number and represents them on the same number line:1/4 0.75 and -3 is

1/4

0.75= 75/100=3/4

-3=-12/4

What is an example of a rational number?

A rational number is a number that is in the form of p/q, where p and q are integers, and q is not equal to 0. Some of the examples of rational numbers include 1/3, 2/4, 1/5, 9/3, and so on.

What is a rational number?

A rational number is any number that can be expressed as a fraction or ratio of two integers. For example, 3/4, 8.75, 2, and -6 are all considered rational numbers. Note that integers, or "whole numbers", are rational numbers. This is because they can be expressed as fractions.

Learn more about the rational numbers at

https://brainly.com/question/12088221

#SPJ2

-3x - 5=16 what does x equal?

Answers

Answer: -7

Step-by-step explanation:

-3x - 5 = 16 (add 5 to 16)

-3x = 21 (divide by -3)

x = -7

Answer:

-7

Step-by-step explanation:

-3x-5=16

add 5 to both sides

-3x=21

divide both sides by -3

x=-7

∠a and ∠b are complementary angles. ∠a measures 55 degrees
What is the measure of ∠b?

Answers

Answer:

<b = 35

Step-by-step explanation:

Complementary angles add to 90 degrees

a + b = 90

55 + b = 90

Subtract 55 from each side

55+b-55 = 90-55

b = 35

Answer:

<b=35

Step-by-step explanation:

Complementary means 90 degrees

and 90-55= 35 degrees

Direct Variation: If y = 6, when x = -2, find y when x = 18.

Answers

Answer:

The answer is -54. Please mark as brainliest :)

Step-by-step explanation:

Y is directly proportional to x. So....

Finding the value of constant k.

y=kx

6=-2k

-3=k.

Finding y when x is 18

y=-3*18

y=-54.

The slope was found using the points (6.4, 117) and (6.6, 120). What is the value of b in the equation of the trend line?


y = 15x + b

Answers

Answer:

21

Step-by-step explanation:

Equation of the given line y = 15x + b.

Points passing through the above line (6.4, 117) and (6.6, 120)

If these point pass through the given line.

These point should satisfy the equation.

plugging in value of one of the point (6.4, 117)  in the line y = 15x + b

we have

117 = 15*6.4 + b

=> 117 = 96 + b

=> 117 - 96 = b

=> b = 21

Thus, value of b in the given equation is 21.

Answer:

21

Step-by-step explanation:

When x = 6.4, y=117, therefore

15*6.4 + b = 117

b = 117 -  96 = 21

Also, I got it right on ed

Math scores on the SAT exam are normally distributed with a mean of 514 and a standard deviation of 118. If a recent test-taker is selected at random, what is the probability the student scored 573 or greater on the exam?

Answers

Answer: the probability that the student scored 573 or greater on the exam is 0.31

Step-by-step explanation:

Let x be the random variable representing the math scores on the SAT exam. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 514

σ = 118

the probability that the student scored 573 or greater on the exam is expressed as

P(x > 573) = 1 - P(x ≤ 573

For x = 573,

z = (573 - 514)/118 = 0.5

Looking at the normal distribution table, the probability corresponding to the z score is 0.69

P(x > 573) = 1 - 0.69 = 0.31

If you wanted to solve this system by elimination, what would I multiply the second equation by to eliminate the x's when the 2 systems are added? 4x- 3y = -5 and 21 + 6y = -15

4
-6
3
-2​

Answers

Answer:

You simply multiply the second equation by -4/21

Answer:

There is no x in the second equation

a hot air balloon begins to descend towards the ground from a height of 2250 feet. If it descends at the rate of 150 feet per minute, find the height after 12 minutes.

Answers

Answer: 450 ft.

Step-by-step explanation:

h = 2250 - 150*12

h = 2250 - 1800

h = 450

The height after 12 min is 450 ft

Answer:

450

Step-by-step explanation:

-2250  - 150 x 12

-2250 -  -1800

-450 put in postive

-276

Hope this helps

Find the endpoint of the line segment with the given endpoint and midpoint.

Answers

Answer:

(10, 2)

Step-by-step explanation:

To get from the given endpoint to the midpoint, 6 was added to x and 2 was added to y. As per the definition of a midpoint, the resulting two line segments will be congruent (first endpoint and midpoint congruent to midpoint and second endpoint). Use the same formula (x + 6, y + 2) to find the second endpoint (use the x and y of the midpoint):

(x + 6, y + 2)

(4 + 6, 0 +2)

(10, 2)

Answer:

Step-by-step explanation:

[tex]Midpoint (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\\(\frac{x_{1}-2}{2},\frac{y_{1}-2}{2})=(4,0)\\\frac{x_{1}-2}{2}= 4 ; \frac{y_{1}-2}{2}=0\\\\x_{1}-2=4*2 ; y_{1}-2=0\\\\x_{1}-2= 8 ; y_{1}-2=0\\\\x_{1}=8+2 ; y_{1}=0+2\\\\x_{1}=10 ; y_{1}=2\\[/tex]

Endpoint  ( 10, 2)

which of the following three sets of lens could be used to form a right triangle
39, 15 and 36 .
12, 8 and 4
.13, 17 and 9
Or none of the above

Answers

None of the above you can see that if you read the question carefully and I’ll help you

Answer:

(39, 15, and 36)

Step-by-step explanation:

If your talking about the first number being the hypotenuse, then the answer  would be correct

A rectangular painting canvas has the dimensions of 22 by 23 inches. Find the area, in square inches, of the painting. Use the formula, area = length * width

Answers

Answer:

506 square inches

Step-by-step explanation:

length=22 inches

breadth=23 inches

area=length *breadth

area=22*23=506 squareinches

Answer:

506 inches

Step-by-step explanation:

22 times 23 equals 506 inches.

A circle is drawn to represent a pizza with a 12-inch​ diameter. The circle is cut into eight congruent pieces. What is the length of any one piece of this circle?

Answers

Answer:

6 inch

Step-by-step explanation:

half the diameter to find the length

The outer edge length of one piece of the cut circle is  3π / 2 inches

Diameter of a circle

The diameter of a circle is a line that passes through the centre and meets the circumference at opposite ends.

The circle representing the pizza is 12 inches in diameter. The radius is half of the diameter. Therefore,

radius = 12 × 0.5 = 6 inches

The circle is cut into 8 congruent pieces. The length of the outer edges of any one piece of the circle can be calculated as follows;

circumference of the circle = 2πr

circumference of the circle = 2 × π × 6 = 12π inches

Now let's divide it into 8 part.

edge length of one piece of the circle = 12π / 8 = 3π / 2

learn more on diameter here: https://brainly.com/question/231870

Which relation is a function of x? {(1, 2), (7, 6), (3, 2), (1, 0), (5, 6)} A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 0, 0, 0. Column 2 is labeled y with entries 2, negative 6, 9, negative 7. x = 3 y squared minus 7 On a coordinate plane, a graph curves up, then curves down, and then curves up again.

Answers

Answer:The answer is D the last one.

Answer:

D on edu

Step-by-step explanation:

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