2.Show that: (sinΘ + cosΘ)^2 + (sinΘ - cosΘ)^2 = 2

Answers

Answer 1

Answer:

Below

Step-by-step explanation:

● A = (sinO +cosO)^2 +(sinO -cosO)^2

●A = sin^2(O) +2×sinO×cosO +cos^2(O)+sin^2O-2×cosO×sinO +cos^2(O)

● A = sin^2(O) +cos^2(O)+sin^2(O)+cos^2(O)

We khow that cos^2 x + sin^2 x = 1

● A = 1+1

● A=2


Related Questions

Write a verbal sentence to represent the equation
X/4+8=-16

Answers

Answer:

The sum of X divided by 4 and 8 is -16.

Step-by-step explanation:

The main numbers we are adding are X/4 and 8, so those can be referred to as "the sum of". X/4 is simply "X divided by 4".

This all equals -16, so we have:

The sum of X divided by 4 and 8 is -16.

Please answer this correctly, because I will know If the answer Is wrong. If It's right, I'll give out brainliest.

Answers

Answer:

113⁶ × 37³ × 51¹²

Step-by-step explanation:

(113² × 37 × 51⁴)³ =

113²ˣ³ × 37³ × 51⁴ˣ³ =            ⇒ power of the power is the product of powers

113⁶ × 37³ × 51¹²                    ⇒ answer, no more simplifications possible

Points W, K, and are collinear.



Line CA and line YK intersect at .



Point is not contained on line m.

Answers

Answer:

1)  J, k and w

2)Y

3) ONE

Step-by-step explanation:

The three collinear points on line m are

✔ J, K, and W

.

 

Point  

✔ Y

is not on line m.

 

✔ One

line(s) could be drawn through points P and X.

Answer:bcd

Step-by-step explanation:

there are twelve months in every year. The number of years is x. The number of months is y.

Answers

Answer:

12x = y

Step-by-step explanation:

12 months per x

12x

this means

12x = y

Hope that helped!!! k

You are playing basketball with your friends. The height (in feet) of the ball above the ground t seconds after a shot is released from your hand is modeled by the function f(t)= -16t^2 + 32t + 5.2. What is the value of t when the ball is released from your hand ?

Answers

Answer:

Value of (t) = 0

Step-by-step explanation:

According to the scenario no time has passed.

t = 0

Given:

f(t)= -16t² + 32t + 5.2

When t = 0

So.

f(t)= -16t² + 32t + 5.2

f(0)= -16(0)² + 32(0) + 5.2

f(0) = 5.2 feet

Solve the following word problem
The width of a rectangular parking lot is 20 meters less than the length. The perimeter is 200
meters. Find the length and the width.

Answers

Answer:

Length=60 meters, width=40 meters.

Step-by-step explanation:

If the perimeter of the rectangular is 200 that means length*width=100. So we take 50 and add 10 and subtract 10. So the width is 40 and the length is 60

Solve for the exterior angle in the image below?

Answers

Answer:

x = 7

Exterior angle = 139°

Step-by-step explanation:

[tex] (15x + 34) [/tex] is an exterior angle to the ∆ given.

29° and [tex] (12x + 26) [/tex] are two opposite interior angles of the ∆.

According to the external angle theorem, [tex] (15x + 34) = 29 + (12x + 26) [/tex]

Solve for x using this expression

[tex] 15x + 34 = 29 + 12x + 26 [/tex]

[tex] 15x + 34 = 29 + 26 + 12x [/tex]

[tex] 15x + 34 = 55 + 12x [/tex]

[tex] 15x + 34 - 12x = 55 + 12x - 12x [/tex]

[tex] 15x - 12x + 34 = 55 [/tex]

[tex] 3x + 34 - 34 = 55 - 34 [/tex]

[tex] 3x = 21 [/tex]

[tex] \frac{3x}{3} = \frac{21}{3} [/tex]

[tex] x = 7 [/tex]

Exterior angle = [tex] (15x + 34) [/tex]

Plug in the value of x

[tex] 15(7) + 34 = 105 + 34 = 139 [/tex]

Exterior angle = 139°

Does anyone know this?

Answers

Answer:

The input cannot be repeated, unlike the output which doesn't really matter if it is repeated in other words a function is a relation in which each input has only one output. Therefore the answer to this is A

Step-by-step explanation:

Question 3
1 pts
2 and -2 are 4 units apart on the number line.
True
False

Answers

It’s actually true!

^ ^ ^ ^
<—|——|——|——|——|—>
-2 -1 0 1 2

The 4 arrows above the number line represents the distance between 2 and -2 which is 4!

Please please help I would give anything just please help and check if I’m right it’s algebra 2

Answers

Answer:

In no 4 you have written option B but it should be option C. All of the other except it is correct.

To make a bow out of ribbon, Carrie needs 1
1
4
yards of ribbon. If Carrie bought 8
3
4
yards of ribbon at a sale, how many bows could she make?

Answers

Answer:

7 bows

Step-by-step explanation:

I will assume that the numbers are [tex]1\frac{1}{4}[/tex] and [tex]8\frac{3}{4}[/tex]. To find the answer, we can do:

[tex]8\frac{3}{4} / 1\frac{1}{4}\\ = \frac{35}{4} / \frac{5}{4} \\= \frac{35}{4} * \frac{4}{5}\\= \frac{35}{5}[/tex]

= 7 bows

please help :(

Write a story for this equation: $10 - $4.05 = c. ​

Answers

Answer:

Mr Singh went to the shops to buy some Coke. He wanted a $10 dollar pack which had 12 coke cans. He had a coupon which took off $4.05. Using the information above, what did Mr Singh pay?

Answer:

Step-by-step explanation:

John is given $10 pocket money. After spending $4.05 in the local store he has c dollars left.

What information do you need to accurately describe a translation

Answers

Answer:

make sure you have a good understanding of the subject you are translating, and that the translation is for that subject

Given m<1+m<2=180
Prove: L||M
PLEASE HELP ME!! uwu

Answers

Answer:

a 1 vertical angles

2 converse of the same side interior angle theorem

Step-by-step explanation:

<1 = <3 because they are vertical angles

Vertical angles are opposite angles formed by the same lines and sharing a vertex

<2 + <3 = 180  

converse of the same side interior angle theorem

If the angles on the same side between two lines add to 180, this is the same side interior angle theorem

two out of four snowmen built by young children have carrots for noses. what percentage or snowmen have carrots for noses??
A) 20%
B)40%
C) 50%
D) 100%​

Answers

the answer should be c) 50%
Answer would be C) 50%

Algebraically determine each of the following for the function y=16 - 4x(squared). A) the x and y intercepts if any. B) the symmetry type (x axis, y axis, origin, or neither.)

Answers

Answer:

A) x intercept: (2, 0) , (-2, 0)

y intercept: (0, 16)

B) symmetric about y axis

Step-by-step explanation:

Given the function:

[tex]y=16-4x^{2}[/tex]

To find:

Algebraically, A) find the x and y intercepts and B) the symmetry type.

Solution:

A) x intercept, let us put y = 0

[tex]y=16-4x^{2}[/tex]

[tex]0=16-4x^{2}\\\Rightarrow 4x^2=16\\\Rightarrow x^2=4\\\Rightarrow x =+2, -2[/tex]

x intercept:  (2, 0) , (-2, 0)

For y intercept, put x = 0

[tex]y=16-4x^{2}[/tex]

y = 16 - 0 =16

y intercept: (0, 16)

B) If the quadratic equation is given as: [tex]y=ax^2+bx+c[/tex],

the axis of symmetry is a vertical line [tex]x=-\frac{b}{2a }[/tex]

Here, c = 16

b = 0 and

a = -4

So, Axis of symmetry is:

[tex]x=-\dfrac{0}{2\times (-4)} = 0[/tex]

which is the equation of y axis.

So, given equation is symmetric about y axis.


Solve for x:
3/4 + 2/3 + 8/9 = 2 x/36

Algebra 2

Answers

Answer:

x = 11

Step-by-step explanation:

Steps as below:

3/4 + 2/3 + 8/9 = 2 x/363*9/4*9 + 2*12/3*12 + 8*4/9*4 = 2 x/3627/36 + 24/36 + 32/36 = 2 x/3683/36 = 2 x/362 11/36 = 2 x/36x= 11

For any positive integer n, the sum of the first n positive integers equals n ( n 1 ) 2 . What is the sum of all the even integers between 99 and 301

Answers

Answer:

The sum of all the even integers between 99 and 301 is 20200

Step-by-step explanation:

For the sum of all the even integers between 99 and 301, this can be calculated using the formula for Sum of n terms in an Arithmetic Progression (AP)

Sum of n terms in an AP [tex]S_{n}[/tex]= [tex]\frac{n }{2}[ 2a + (n - 1)d][/tex]

Where [tex]n[/tex] is the number of terms

[tex]a[/tex] is the first term

and [tex]d[/tex] is the common difference

The AP for the sum of all the even integers between 99 and 301 will look like

100 + 102 + 104 + ... + 300

[tex]a[/tex] = 100

[tex]d[/tex] can be calculated by taking the difference of the first two terms or any two consecutive terms of the AP

Hence, [tex]d[/tex] = 102 - 100 = 2

[tex]n[/tex] can be determined from the formula used to calculate the Last term of an AP

[tex]l = a + (n - 1)d[/tex]

Where [tex]l[/tex] is the last term

In the AP, the last term, [tex]l[/tex] = 300

Then

[tex]300 = 100 + (n - 1)2\\300 - 100 = (n - 1)2\\200 = (n - 1) 2\\(n - 1) = 200 / 2\\n - 1 = 100\\n = 100 + 1\\n = 101[/tex]

Hence, there are 101 terms in the AP

Now, to determine the sum

[tex]S_{n}[/tex]= [tex]\frac{n }{2}[ 2a + (n - 1)d][/tex]

[tex]S_{n} =\frac{101}{2}[ 2(100) + (101 - 1)2]\\ S_{n}=\frac{101}{2}[ 200 + (100)2]\\ S_{n}=\frac{101}{2}[ 200 + 200]\\S_{n}=\frac{101}{2}[ 400]\\S_{n} = 20200[/tex]

Hence, the sum of all the even integers between 99 and 301 is 20200

How do I find the slope to this equation ?
2х-Зу = 12

Answers

Answer:

slope = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x - 3y = 12 ( subtract 2x from both sides )

- 3y = - 2x + 12 ( divide all terms by - 3 )

y = [tex]\frac{2}{3}[/tex] x - 4 ← in slope- intercept form

with slope m = [tex]\frac{2}{3}[/tex]

Answer:

2/3

Step-by-step explanation:

Slope of the equation is determined as per slope-intercept form:

y = mx +b

Bring the given equation to mentioned form:

2x - 3y = 12        ⇒ make y the subject3y = 2x - 12        ⇒ divide all terms by 3y = 2/3x - 4        ⇒ this is the slope-intercept form

Since m = 2/3, it is the slope of the given equation

What is the solution to 5(2x−2)=30? solve for x

Answers

Answer:

x=4

Step-by-step explanation:

5(2x-2)=30

divide both sides

2x-2=6

move the constant to the right

2x=6-2

caculate

2x=8

divide both sides

x=4

simplify 6+7x-4-3x-11

Answers

Answer:

4x-9

Step-by-step explanation:

6+7x-4-3x-11

Combine like terms: 7x-3x = 4x

                                :6-4-11 = -9

Combine them together and you get 4x-9

<><><><><><><><><><><><><><>OR<><><><><><><><><><><><><><><><><>

Subtract  4  from  6

7 x +2-3x-11

Subtract 3x from 7x

4x+2-11

Subtract 11 from 2

4x-9

What is the image of the point (4,5) after a rotation of 90° counterclockwise about
the origin?

Answers

Answer:

A counterclockwise rotation of 270º about the origin is equivalent to a clockwise rotation of 90º about the origin. Given a point (4, 5), the x-value, i.e. 4 and the y-value, i.e. 5 are positive, hence the point is in the 1st quadrant of the xy-plane.

Hope it helped u if yes mark me BRAINLIEST... Plz. Plz plz!

Tysm!

A function is called from the main function and then it calls itself five times. The depth of recursion is

Answers

Answer: five.

Step-by-step explanation: The depth of a recursion or Recursive statement can simply be explained as the maximum number of times a function calls itself until the stopping condition is met. In the scenario above, the number of times the function calls itself is five hence the depth of recursion will be five. A Recursive function or algorithm involves repetitive calling of itself( that is the Recursive function) until the condition to stop is met, hence the number of times the fuction has to call itself before the stopping condition is satisfied is called the depth of the Recursive algorithm.

The cost of 16 television sets is $640,160. What is the cost of 1 television set? (Round off the amount to the nearest thousand and then calculate.)

Answers

Answer:

$40000

Step-by-step explanation:

640160≈640000

640000/16=40000

A triangle has sides of lengths 9, 7, and 12. Is it a right triangle? Explain.

Answers

Answer:

No, [tex] 9^2 +7^2 \neq 12^2 [/tex]

Step-by-step explanation:

[tex] 9^2 +7^2 = 81+ 49 =130...(1)[/tex]

[tex] 12^2 = 144...(2)[/tex]

From equations (1) & (2) it is obvious that:

[tex] 9^2 +7^2 \neq 12^2 [/tex]

Thus, the given is not a right triangle.

Jackrabbits are capable of reaching speeds up to 40 miles per hour. How fast is this in feet per second? (Round to the nearest whole number.) 5,280 feet = 1 mile 27 feet per second 59 feet per second 132 feet per second 288 feet per second

Answers

Answer:

59 ft/second

Step-by-step explanation:

40 miles / hour

Multiply by the conversion factors

40 miles    5280 ft       1 hour

------------ * -------------- * -----------

hour           1 mile         3600 seconds

Canceling the units

40 * 5280 ft/ 3600 seconds

58.6666666 ft/ second

To the nearest whole number

59 ft/second

Answer:

[tex]\Large \boxed{\mathrm{59 \ feet \ per \ second}}[/tex]

Step-by-step explanation:

40 miles per hour

1 mile = 5280 feet

40 miles = 5280 × 40 = 211200 feet

1 hour = 3600 seconds

[tex]\displaystyle \sf \frac{211200 \ ft}{3600 \ s}[/tex]= 58.666666666... ft/s

Write the equation of the line that is parallel to the line y=−74x−2
y
=

7
4
x

2
through the point (4,-2).

Answers

Answer:

The answer is

y = 74x - 298

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the line parallel to the equation above we must first find the slope of the above equation

y = - 74x - 2

Comparing with the above formula

Slope = - 74

Since the lines are parallel their slope are also the same

Slope of parallel line = - 74

Equation of the line using point (4 , -2) and slope - 74 is

y + 2 = 74( x - 4)

y + 2 = 74x - 296

y = 74x - 296 - 2

We have the final answer as

y = 74x - 298

Hope this helps you

Answer:

y= -7/4x+5

Step-by-step explanation:

I got it correct on founders edtell

Eli has a number cube. Each side has a different number: 1, 2, 3, 4, 5, or 6. Eli will roll the number cube once. What is the probability he will roll a 4?

Answers

The odds of rolling a 4 is 1/6 or 0.16667 or 16%

Answer:

E. is the correct^

Step-by-step explanation:

explain: Let's solve for x. labc=x−32 Step 1: Flip the equation. x−32=abcl Step 2: Add 32 to both sides. x−32+32=abcl+32 x=abcl+32 Answer: x=abcl+32

Answers

Answer:

x=abcl+32

Step-by-step explanation:

We need to solve for x for the below expression :

labc=x−32

Fisrt let's flip the question.

x-32=abcl

Add 32 on both the sides

x-32+32=abcl+32

We know that -32+32 = 0

x = abcl+32

So, the value of x is abcl+32.


If 11 is added to the square of a number, the result is 92

Answers

Answer:

Algebraic expression ; 11+x^2 =92

Solved answer = 9

Step-by-step explanation:

Let the unknown number be x ;

[tex]11 + x^2 = 92[/tex]

Solve for x ; Collect like terms ;

[tex]x^2 = 92-11\\\\x^2 = 81[/tex]

Square root both sides ;

[tex]\sqrt{x^2} = \sqrt{81} \\\\x = 9[/tex]

Other Questions
The delegates built a form of federalism; what does this entail in our government (4 sentences)? 3. Dr. Potter provides vaccinations against polio and measles. Each polio vaccination consists of 5doses, and each measles vaccination consists of 3 doses. Last year, Dr. Potter gave a total of 60vaccinations that consisted of a total of 225 doses. How many more measles vaccines did Mr.Potter give than polio?Please explain the process. THX THE SEVEN APPLEWOMENSeven apple women, possessing respectively 20, 40, 60, 80, 100, 120, and 140apples, went to market and sold all their apples at the same price, and eachreceived the same sum of money. What was the price? which of the following is not a factor in becoming a money smart? Hello please help me Idk if the answer is 16 or 19 4 - 16 4 + 4 My judgment that you are conscientious converges with the subsequent empirical fact that you arrive on time for all your class meetings. This is an example of what According to the following reaction, how many moles of dichloromethane (CH2Cl2) will be formed upon the complete reaction of 0.766 moles methane (CH4) with excess carbon tetrachloride?methane (CH4) (g) + carbon tetrachloride (g) dichloromethane (CH2Cl2) (g) If a firm's beta was calculated as 1.3 in a regression equation, a commonly used adjustment technique would provide an adjusted beta of Group of answer choices zero or less. between 0.3 and 0.9. less than 1.0 but greater than zero. greater than 1.3. between 1.0 and 1.3. When the list of all individuals who took the Graduate Management Admissions Test (GMAT) during the past year is used for selecting a simple random sample of students who took the GMAT, it is known as the:_______ Neutronics makes four different models of gas identifiers. Next year, the company anticipates total overhead costs of $2.5 million. It also anticipates a combined 75,000 direct labor hours, 100,000 machine hours, 1,250,000 square feet occupied, and $5,000,000 of revenue across all its production lines. If Neutronics uses direct labor hours to allocate its overhead costs, the company's predetermined overhead rate should be: Group of answer choices can someone please help me???a is 3/4b is -8c is -2d is 3 Suppose that a disk drive has 5,000 cylinders, numbered 0 to 4999. The drive is currently serving a request at cylinder 2150, and the previous request was at cylinder 1805. The queue of pending requests, in FIFO order, is: 2069, 1212, 2296, 2800, 544, 1618, 356, 1523, 4965, 3681 Starting from the current head position, what is the total distance (in cylinders) that the disk arm moves to satisfy all the pending requests for each of the following disk-scheduling algorithms?a. FCFS b. SSTF c. SCAN d. LOOK e. C_SCAN f. C_LOOK The data show systolic and diastolic blood pressure of certain people. Find the regression equation, letting the systolic reading be the independent (x) variable. Find the best predicted diastolic pressure for a person with a systolic reading of 146 . Is the predicted value close to 91.0 , which was the actual diastolicreading? Use a significance level of 0.05.Systolic 117 134 150 113 138 113 144 145Diastolic 85 74 86 55 75 80 106 841. What is the regression equation? (Round to two decimal places as needed.)2. What is the best predicted diastolic pressure for a person with a systolic reading of 146 ?3. Is the predicted value close to 91.0 , which was the actual diastolic reading?A. The predicted value is very close to the actual diastolic reading.B. The predicted value is not close to the actual diastolic reading.C. The predicted value is close to the actual diastolic reading.D. The predicted value is exactly the same as the actual diastolic reading. What is the velocity of a worm moving 1 meter in 2 hours to the East? How is interpreting words on a image diffrent from interpeting words on a page? Find P (Junior|Girl) Hint: P(A and B)P(B)Classroom of StudentsBoys GirlsFreshman4 48Sophomore S 17 12Junior 2 3 5Senior 4 512 18Reduce your fraction to lowest terms.Enter the number that belongs in the green box.Enter1 1. The vast majority of collisions can be contributed to four factors:Choose oneO A. Vehicle Make and Model, Vehicle Design, Road Rage, and Driver's Behavior.OB. Vehicle Equipment Failure, Roadway Design, Road Environment, and Driver's Behavior.OC. Vehicle's Age, Roadway Design, Road Environment, and Driver's Experience.OD. Vehicle Make and Model, Vehicle Design, Wideness of the Road, and Other Driver's Behavior order the following numbers from least (top) to greatest number( bottom) . 0.40 , 0.489 , 0.430 , 0.480 In order to receive positive cash returned on investment, the rate of return on an investment during periods of inflation should Which method did Dalton use to develop his atomic theory?He changed atoms of one element into atoms of a different element.He split individual atoms to identify the particles inside them.He searched for natural materials that did not contain atoms.He studied the way in which elements combined during chemical reactions.