Use an identity to find the value of

Use An Identity To Find The Value Of

Answers

Answer 1

Answer:

[tex] \bigodot\: - \sin\theta.[/tex]

Step-by-step explanation:

We know that:cos (A + B) = cos A . cos B - sin A . sin B

[tex] \implies \cos (\theta +90\degree) =\cos\theta.\cos 90\degree - \sin\theta.\sin 90\degree[/tex]

[tex] \implies \cos (\theta +90\degree) =\cos\theta.0 - \sin\theta.1[/tex]

[tex] \implies \cos (\theta +90\degree) =0 - \sin\theta.[/tex]

[tex] \implies \cos (\theta +90\degree) = - \sin\theta.[/tex]

Related Questions

5. During a field trip, 168 students were
divided into 14 equal groups. How
many students were in each group?

Answers

Answer:

so, 168 divided by 14 = 12

Step-by-step explanation:

14 x 12 =168

Answer:

168÷14=12

12 multiplied by 14 is 168.

More common denominators with Aleks

Answers

Answer:

1/10

Step-by-step explanation:

1/2 - 2/5

common denominator is 10 (2x5)

5/10 - 4/10 = 1/10

My age is twice what my age was 15 years ago . what was my age 15 years ago ?​

Answers

Answer:

two times less than your age is now

Which expressions result in a product that has a best estimate of 60? Select all that apply. A. 0 . 63 × 104 B. 32 . 4 × 21 C. 1 . 1 × 58 D. 0 . 18 × 27 E. 6 × 9 . 82

Answers

The expression 6×9.82 is the result of a product that has the best estimate of 60 option (E) is correct.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have value of quantity is 60

A) 0.63×104 = 65.52

B) 32.4×21 = 68.04

C) 1.1 × 58 = 63.8

D) 0.18×27 = 4.86

E) 6×9.82 = 58.92

The value of 6×9.82 is 58.92 which is best estimate of 60.

Thus, the expression 6×9.82 is the result of a product that has the best estimate of 60 option (E) is correct.

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Answer: a b e

Step-by-step explanation:

17 of 3017 of 30 Questions




















































Question 1
Rectangle PQRS is graphed on the coordinate plane.


Part A

Rectangle PQRS is rotated 90° counterclockwise about the origin to create rectangle P'Q'R'S' (not shown). What are the coordinates of point R'?

Answers

a) When rotating 90 degrees clockwise, (x,y) maps onto (-y,x), meaning R(6,-7) maps onto (7, 6).

The function C(t)=100*e^-0.000121t describes how to find the percentage of carbon-14, C(t), remaining in an object after t years. According to this information, what was the percentage of carbon-14 remaining in an object after 55 years? (Round your answer to the nearest hundredth.)

Answers

Answer:

99.34 years

Explanation:

Given function:

[tex]\sf C(t)=100*e^{-0.000121t}[/tex]

Insert t = 55:

[tex]\sf C(55)=100*e^{-0.000121(55)}[/tex]

Simplify following:

[tex]\sf C(55)=99.3367[/tex]

Round to nearest hundredth:

[tex]\sf C(55)=99.34[/tex]

find the two square roots of the number 16

Answers

Answer:

4

Step-by-step explanation:

square root of 16 is 4,

4*4 = 16

Answer:

The square root of 16 is 4.

Step-by-step explanation:

Ms. Remi is planning a dance recital for her students. The maximum duration for the recital is 120 minutes. Group dance performances last 8 minutes and solo dance performances last 3 minutes. x = the number of group dances on the program y = the number of solo dances on the program Which inequality in standard form represents this situation?
A) 3x + 8y ≥ 120
B) 3x + 8y ≤ 120
C) 8x + 3y ≥ 120
D) 8x + 3y ≤ 120

Answers

The inequality in a standard form that represents the given statement will be equal to 8x + 3y ≥ 120.

What is an equation?

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given data available in the question,

The maximum duration of the recital is 120 minutes.

Time for group dance = 8 minutes.

Time for solo dance = 3 minutes.

Then, the inequality will be,

8x + 3y ≥ 120

Here, x is the number of group dances on the program, and y is the number of solo dances on the program.

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Question 9 of 30
Find the surface area of the polyhedron below. The area of each base is 65
cm-.
7 cm
cm
12 cm
cm
cm
Please help asap

Answers

Answer:

A

Step-by-step explanation:

12×4=48cm²

12×3=36cm²

12×2×2×2=96cm²

therefore is 270cm² + 65cm² + 65cm²

=370cm²

What is the surface area of this figure?

Answers

Answer:

582 ft squared

Step-by-step explanation:

15*9*2 = 270

15*4*2 = 120

6*6*2 = 72

9*4*2 = 72

6*4*2 = 48

270 + 120 + 72 + 72 + 48 = 582

Ryan and Patrick are eating together. They spent a total of
18 dollars on pizzas and calzones. Each pizza is 3 dollars
and each calzone is 2 dollars. They spent 2 minutes
eating each pizza and spent 5 minutes per calzone. It
took them 23 minutes to eat their food.
Help me

Answers

Answer:

Will you be my friend? please answer

Step-by-step explanation:

what do you need to find ?

the number of pizzas and calzones they were eating ?

if so :

p = number of pizzas

c = number of calzones

3p + 2c = 18

2p + 5c = 23

let's multiply the first equation by 2 and the second squadron by 3, and then subtract the second from the first :

6p + 4c = 36

- 6p + 15c = 69

-------------------------

0 -11c = - 33

c = 3

2p + 5c = 23

2p + 5×3 = 23

2p + 15 = 23

2p = 8

p = 4

so, they were eating 4 pizzas and 3 calzones.

if f(x)=7x-3, what is the value of x when f(x)=1

Answers

Set up your equation:
1 = 7x - 3

Add 3 to both sides:
7x = 4

Divide both sides by 7:
x = 4/7

Hope this helps!

170 over 360 simplify

Answers

Answer: 17/36

Step-by-step explanation:

The correct answer is 17/36

What is the third term of the sequence described by the following explicit formula? an = 9 + (n - 1)8

Answers

Answer: Solve for a: a = [tex]\frac{8n+1}{n}[/tex]

Solve for n: [tex]n=\frac{1}{a-8}[/tex]

Step-by-step explanation:

solve for n: Move all terms to the left side and set them equal to zero. Then set each factor equal to zero.

solve for a: Divide each term in an = 9 + (n−1) ⋅ 8 by n and simplify.

a figure has 2 pairs of parallel sides, 2 pair of sides of equal length, and 4 right angles what quadrilateral best describes this figure

Answers

Probably a rectangle, since there are 2 pairs of sides with equal parallel lengths and 4 right angles.

Determine if (0, 3) is a solution to y > 2. If so, graph the inequality.

Answers

it’s the second choice

answer Number 3 please

Answers

Answer:

It is reasonable

Step-by-step explanation:

23 degrees Fahrenheit converts directly to -5 degrees Celsius

Use the diagram to the right to find value of x and y

Answers

Answer: Alternativa B

X= 12 raíz de 3 e Y= 6.

Select two values that can replace \square□\square to make the equation true. \square=5. 40

Answers

Answer and Explanation:

x= 5.04

so, as this is a multiple choice question, the two values are

A - five ones and forty thousands

and

C - (5x1) + (4 x 1/100)

and as they both equal 5.04 (the value of "x"), those two would be the correct answers out of the four options given, hope this helps!!

A semi- circle has an area of 35cm . What is its diameter?

Answers

Answer:

Area Semicircle = 1/2 πr²

where

r radius of semicircle

→ ½ * 22/7 * r² = 35

→ 11/7 * r² = 35

→ r² = 35*7/11

→ r² = 245/11

→ r² = 22.77

→ r = √22.77

→ r = 4.77

Therefore,

Diameter = 2*4.77

= 9.54 cm

What is seven minus 4

Answers

7 - 4 = 3 that will be your answer

Answer:

3

Step-by-step explanation:

7-4 = 3

4 = 1 + 1 + 1 + 1

So...

Substitute 4 with 1+1...

7 - 1 - 1 - 1 -1

Get rid of the ones one at a time:

6 - 1 - 1 - 1

5 - 1 - 1

4 - 1

3

Mark brainliest please!

The coordinates of the point SS are (7,6)(7,6) and the coordinates of point TT are (-2,6).(−2,6). What is the distance, in units, between the point SS and point T?T?

Answers

Answer:

9 units

Step-by-step explanation:

In the points S and T, the y- co ordinate are unchanged. So, the line joining S and T are parallel to x -axis.

So, the distance will be the sum of obsolute value of the x- coordinates.

 Distance = I 7I + I - 2I

                 = 7 + 2

                 = 9 units

Roger is sixteen years old and eats granola bars. He attends P.R. Walker High School. In this example, is the independent variable.

Roger's age
Roger's school
Roger's diet

Answers

Answer:

Since the Independent variable is something that is modified or controlled in a scientific experiment, it is his age.

Can someone please answer this, ill give you brainliest Would be very appreciated.

Answers

Answer:

(4, 0) and (-2, 0)(1, -9)(0, -8)

Step-by-step explanation:

Finding the x-intercepts :

y-value of the x-intercept is 00 = (x - 4)(x + 2)x - 4 = 0 ⇒ x = 4x + 2 = 0 ⇒ x = -2The x-intercepts are : (4, 0) and (-2, 0)

Finding the vertex :

Expanding the function ff(x) = (x - 4)(x + 2)f(x) = x² - 4x + 2x - 8f(x) = x² - 2x - 8Vertex = (h, k)h = -b/2a = -(-2)/2(1) = 1k = (1)² - 2(1) - 8k = 1 - 2 - 8 = -9The vertex is : (1, -9)

Finding the y-intercept :

Substitute x = 0 in the functionf(0) = 0² - 2(0) - 8f(0) = -8The y-intercept is : (0, -8)
Function: f(x) = (x- 4)(x + 2)1) What are the x-intercepts of the graph?

In order to find x-intercept, the f(x) or y will be 0

=================

(x-4)(x + 2) = 0

(x-4) = 0, (x + 2) = 0

x = 4, x = -2

x intercepts: (4, 0) and (-2, 0)

2) What is the ordered pair of the vertex?

In order to find vertex use the formula: x = -b/2a

y = (x-4)(x + 2)

y = x² -4x + 2x -8

y = x² - 2x -8

Now find x-coordinate of vertex:

x = -(-2)/2(1)

x = 2/2

x = 1

y coordinates: (1-4)(1 + 2) =  -9

Ordered pair of vertex: (1, -9)

3) What is the y intercepts of the graph?

In order to find y intercept, insert x = 0

y = (0-4)(0 + 2)

y = -8

y intercept: (0, -8)

Using two or more complete sentences, describe how to find the general rule for the geometric sequence with
a
4
=
3
and
a
6
=
3
16
. In your final answer, include all of your calculations.

Answers

Answer:

123x222

Step-by-step explanation:

because2=2 and 4=4

I don't understand can anyone help me pls

Answers

x = 8

180-140 = 40 so that’s ur central angle and the central angle always is the same as the arc

6x - 8 = 40

6x = 48

x = 8

The price of a camera is $ 9810 inclusive of sales tax. If the rate of sales tax is 9%, find the printed price of the camera.

Answers

Answer:

$8927.1

Step-by-step explanation:

printed price is the actual price without including tax price

tax price= 9/100×9810

tax price= 0.09×9810= $882.9

printed price of the camera= 9810-882.9= $8927.1

There are 10 balls in a bag numbered from 1 to 10. Three balls are selected at random without replacement.
A. How many different ways are there of selecting the three balls?
B. What is the probability that one of the balls selected is the number 5?​

Answers

Answer:

A=1000

B=3.33

Step-by-step explanation:

I think?

A. The total numebr of ways or permutaion selecting three balls from the bag without replacement is 720.

B. The probability of getteing a ball or selecting a ball marked with number five is [tex]\frac{1}{5}[/tex].      

What is permutation?

A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.

What is th eformula for permutation?

The formula for the permutation is

[tex]^{n} P_{r} = \frac{n!}{(n-r)!}[/tex]

Where,

n is the total number of objects

r is the total number of selected students

[tex]^{n} P_{r}[/tex] is the total number of permuations

What is probability?

The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event. The formula for probability is given by; P(E) = Number of Favourable Outcomes/Number of total outcomes.

According to the given question.

Total number of balls in a bag = 10

A. Three balls are selected at a randow.

Since, repetition is not allowed or replacement is not allowed.

So, the number of ways selecting the first ball is 10

Number of ways selectiong the second ball is (10-1)

Number of ways selecting the third ball is (9-1)

Therefore,

The total number of ways or permutation selecting three balls from a bag

= [tex]^{10} P_{3}[/tex]

[tex]= \frac{10!}{(10-3)!}[/tex]

[tex]= \frac{10!}{7!}[/tex]

[tex]=\frac{10\times 9\times 8\times 7!}{7!}[/tex]

[tex]= 10\times 9\times 8[/tex]

[tex]= 720[/tex] ways

Hence, the total numebr of ways or permutaion selecting three balls from the bag without replacement is 720.

B.  

Total number of ball in a bag = 10

Total number of ball in a bag marked with 5 = 1

Thereofre,

the probability of selecting a ball marked with number 5

= [tex]\frac{total\ number\ of \ balls\ marked\ with \ number\ five\ }{total\ number\ of\ balls\ in\ a \ bag}[/tex]

[tex]= \frac{1}{5}[/tex]

Hence, the probability of getteing a ball or selecting a ball marked with number five is [tex]\frac{1}{5}[/tex].      

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if line a is perpendicular to line b and the slope of line a is 7 whats the slope of line b

Answers

Answer:

If a line is perpendicular to another line, that means that the slope is completely opposite that of the original line.  The first thing that we do to the slope is we negate the number which means that if we have a slope of [tex]-7[/tex] our slope because [tex]7[/tex] in this step.  In our case our slope is [tex]7[/tex] so in this step it becomes [tex]-7[/tex].

Moving onto the second part which is to get the reciprocal of the number which means that if we have [tex]\frac{1}{2}[/tex] then we would switch it to [tex]2[/tex].  In our case our number is [tex]-7[/tex] so we would make that into a fraction like this [tex]-\frac{1}{7}[/tex].

In conclusion, our final slope of the perpendicular line is [tex]-\frac{1}{7}[/tex].

Hope this helps!  Let me know if you have any questions

Answer: " [tex]-\frac{1}{7}[/tex] " .

_____________

Step-by-step explanation:

Assume we have a two-dimension Cartesian plane graph;

 in which equations of straight lines can be expressed in the form of:
   " y = mx +  b " ;

in which:

 "m" is the slope; as well as the "coefficient" of "x" ;
  and:  "b" is the y-intercept; that is, the value "y" value of the "(x, y)" coordinate at the point which "x = 0" ;  that is, where the graph crosses the "y-axis".

Given the ^aformentioned conditions:
     Note that if we select a line that can be written in the format:  
 " y = mx + b " ;   then another line that is "perpendicular" to that
[selected line] will have the slope, "m";  of the value that is the "negative reciprocal value" of the slope, "m" ; of the other line.

Note that is our problem, we select a line—in our given problem:
          "Line a" —with a slope, "m = 7 " ;  
    which is perpendicular to the slope of "Line b" ;
 → then:  the slope of "Line B" ; would be the "negative reciprocal value"

of "7" .

Note: " [tex]7 = \frac{7}{1}[/tex] " ;  the recriprocal would be: "  [tex]-\frac{1}{7}[/tex] " .

_____________

Hope this answer is helpful to you!

In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer. Smitha answered all questions and scored (-15) marks though he got 3 correct answers. How many incorrect answer had she attempted?
Any one help I will mark u as BRAINLIEST ANSWER if u help me plssssss! I will not accept wrong answer pls

Answers

Answer:

15 answers

Step-by-step explanation:

To solve this question we need to set up an equation.

Let's name the number of incorrect answers x.

We can set up an equation that's essentially:

(Points for correct answer)*(number of correct answers)+(points for incorrect answer)*(number of incorrect answers)=final score

When we plug in our numbers and variables it looks like this:

5(3)+(-2x)=-15

Simplify

15-2x=-15

Subtract 15 from both sides

-2x=-30

Divide both sides by -2

x=15

This means Smitha attempted 15 wrong answers, and that there were 18 questions in total.

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Need help on question 17 An arrangement of electrons that tells us how many total electrons are in an atom or ion as well as the outermostelectrons is called:Electron configurationPeriodic tableIsotope configurationValance electrons What is the main goal ofgovernment's fiscal policy?O to maintain a stable economyO to have a budget surplusO to produce a balanced budgetO to have a budget deficit Help me pleaseeeeeeee A main reason companies move jobs offshore is so they are able toA. pay lower wages for work.B.increase workers' wages.C. use the same currency to pay workers. D.use a different currency to pay workers. Write 60/105 in its simplest form. If x = y2z2, which of the following is equal to xy? PLEASEEEEEE HELP ASAP I need help with question number one and an explanation. A store donated 2 1/4 cases of crayons to a daycare. Each case holds 24 boxes of crayons; each box holds eight crayons. How many crayons did the center receive? What was one reason the people started to turn to dictators?. please help, much appreciated!!!!() after war 2 than men sought what type of positions A toy car with a mass of 3 kg starts at rest. A spring performs 220 J of work on the car. Using the Work-Energy Theorem determine the approximate final velocity of the toy car.a) 660 m/sb) 147 m/sc) 73 m/sd) 12 m/s Type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar(s). a professor is examining a new strain of bacteria. the amount of bacteria can be modeled by function s(n) = 20 bn, where n is the number of hours and b is an unknown positive base. based on the model, there were initially bacteria. if b = 1.85, the hourly percent growth rate of the bacteria would be %. 18) Sum, Average, and Count are examples of ________. A. categorical statistics B. reporting criteria C. summary calculations D. summary statistics What was another name for the Baroque period that reflected the power of the monarchy during that time?A.) Age of AbsolutismB.) Age of Thrones C.) Peace Between the WarsD.) Age of Emperors In the book the giver. Who makes all the important decisions in the books society The wholesale price for a desk is $199. A certain furniture store marks up the wholesale price by 24%. Find the price of the desk in the furniture store.Round your answer to the nearest cent, as necessary. Add 7 and 14. Subtract 1.5 from the sum.16 4Add 7 and 14 and then multiply the result by 4. 5 + 5 + 5 + 5Multiply 5 by 1.1. Then subtract 3 from the product.1.7 x 2Multiply the difference of 1 and 3 by 2.(2 + 8) x 200Silvia had $13. Her brother had twice as much as she did.(8 + 3) x (8 + 3)Silvia had $13. Her brother had twice as much as she did. Their cousin had $5 more than both of them had altogether.Add 7 and 14. Subtract 1.5 from the sum.16 4Add 7 and 14 and then multiply the result by 4. 5 + 5 + 5 + 5Multiply 5 by 1.1. Then subtract 3 from the product.1.7 x 2Multiply the difference of 1 and 3 by 2.(2 + 8) x 200Silvia had $13. Her brother had twice as much as she did.(8 + 3) x (8 + 3)Silvia had $13. Her brother had twice as much as she did. Their cousin had $5 more than both of them had altogether.