Consider the following points on the graphs of y = cos(x) and y = cos(x/2), with the added vertical dashed lines:
What are c and d?

Consider The Following Points On The Graphs Of Y = Cos(x) And Y = Cos(x/2), With The Added Vertical Dashed

Answers

Answer 1

Recall that [tex]\cos \frac{\theta}{2}=\pm \sqrt{\frac{1+\cos \theta}{2}}[/tex].

Since [tex]-2\pi<a<-\pi[/tex], [tex]-\pi<\frac{a}{2}<-\frac{\pi}{2}[/tex], meaning [tex]c=\cos(a/2)<0[/tex].

[tex]c=-\sqrt{\frac{1+(1/8)}{2}}=-\frac{3}{4}[/tex]

Since [tex]0<b<|pi[/tex], [tex]0<\frac{b}{2}<\frac{\pi}{2}[/tex], meaning [tex]d=\cos(b/2)>0[/tex].

[tex]d=\sqrt{\frac{1+(1/8)}{2}}=\frac{3}{4}[/tex]


Related Questions

Can you solve this for me? Thanks! :>

Answers

Answer:

5.047,  5.105, 5.12, 5.132, 5.406

Step-by-step explanation:

enter Durham right after Raleigh

Please help me I'm desperate

Answers

Answer:

42% (Sorry if I'm wrong!)

Answer:

40.7%

Step-by-step explanation:

the question was tricky but I am glad I was able to help

Make x the subject of the formula
y = a√x

Answers

Answer:

17

Step-by-step explanation:

17
Explanation: I just know

What is the value of x in the solution to this system of equations?

y=-3x+14
3x-5y=-25

Answers

Answer:

x=5/2

y=13/2

(x,y) = (5/2 , 13/2)

Answer: (x,y) = (5/2 , 13/2)

Step-by-step explanation:

Order the fractions from least to greatest.

five twelfths, one fourth, two thirds

five twelfths, one fourth, two thirds
five twelfths, two thirds, one fourth
one fourth, two thirds, five twelfths
one fourth, five twelfths, two thirds

Answers

One fourth, five twelfths, two thirds


Good luck hope this helps


:)))

Evaulate each expression when n = 2.3

N + 8n2 - 17=

Answers

Answer: 27.62

Step-by-step explanation:

plug in 2.3 wherever 'n' is

I'm assuming that the '2' in 8n2 is an exponent

2.3 + 8(2.3)² - 17 =

Using PEMDAS

start out with exponent since there isn't any parenthesis  

(2.3)² = 5.29

2.3 + 8(5.29) - 17

move on to multiplication

8(5.29) = 42.32

2.3 + 42.32 - 17

with addition and subtraction, you do whichever comes first and since this equation starts with addition we'll start there

2.3 + 42.32 = 44.62

then the subtraction

44.62 - 17 = 27.62

Answer:

Step-by-step explanation:

The answer is 27.62

Please help me I'm desperate

Answers

5/17 because 10+32+2 is the total frequency of cards, whilst 10 is the frequency of wild cards.
Now you have 10/42 simplify it and you have 5/22
Simplify the problem. 44 cards total, 10 are wild. That’s 10/44 also reduced to 5/22

help me please!!!
i need an higher grade!

Answers

Answer:

A. Slope= -3

B. Slope= -4/3

C. Slope= 11/2

D. Slope= undefined

Step-by-step explanation:

The way I solved it was by graphing the points and then counting the rise/run.

9fallon is totally correct

On a coordinate grid, the coordinates of vertices P and Q for Polygon PQRS are P(1, 3) and Q(−3, 3). What is the length of Side PQ of the polygon? (5 points)

Group of answer choices

2 units

3 units

4 units

6 units

Answers

Answer:

4 units

Step-by-step explanation:

The length between point P and Q is from -3 to 1, If you start at -3 and count over the graph to 1 you will get 4 units

Answer is 4 units there you

What are all possible values of b for which 7x^2 + bx+ 3 is factorable, if the factors have integer coefficients and constants?
(image)

Answers

Answer: 10

Step-by-step explanation:

b can be 10 as,

7*3 = 21

7+3 = 10

∵ [tex]7x^2[/tex] + 10x + 3

Given the area of each square, factor to find the side length.

Answers

Answer:

[tex]\mbox{\large \; 4\left(3x+5\right)\left(3x+5\right)} = 4(3x + 5)^2}[/tex]

Step-by-step explanation:

We are given the quadratic equation [tex]36x^2+120x\:+\:100[/tex] and asked to factor

Here are the steps

[tex]\mbox{\large \mathrm{Factor\:out\:common\:term\:}4:\quad 4\left(9x^2+30x+25\right)}}[/tex]
[tex]\mbox{\large\;\mathrm{Factor\:}9x^2+30x+25:\quad \left(3x+5\right)\left(3x+5\right)}[/tex]
[tex]\mbox{\large 36x^2+120x\:+\:100 = 4\left(3x+5\right)\left(3x+5\right)}[/tex]

Answer
[tex]\mbox{\large \; 4\left(3x+5\right)\left(3x+5\right)} = 4(3x + 5)^2}[/tex]

Answer: (6x+10)

Step-by-step explanation:

To find the side of the square, we have to first factorise it:

[tex]36x^2[/tex] + 120x + 100

= 36[tex]x^2[/tex] + 60x + 60x + 100

= 12x(3x + 5) + 20(3x + 5)

= (12x+20)(3x+5)

= 4(3x+5)(3x+5)

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

= (6x+10)(6x+10)

∴ Hence, side = (6x+10) units

Please mark my answer the BRAINLIEST!

Need help again please help

Answers

the answer might be (-2,-6). but my math teacher taught us to use a paper and label the first coordinates and then rotate the paper the way the question is asking you too.
example: if it says rotate it 90 degrees clockwise, then rotate the paper that way with the (2,-6) mark on there

Answer:

(-2, -6)

Step-by-step explanation:

AGAIN PLEASEEEEE HELP AND QUICK!! SEVENTH GRADE MATH !!

Answers

Answer:

A numerical expression contains numbers and operations. An algebraic expression is almost exactly the same except it also contains variables

Answer:

Step-by-step explanation:

Both are similar as they result of both is same. The only difference is their methods of solving them. In numeric expressions, it takes long calculation while in algebraic expressions, we break the expression and then solve it to obtain the result in simpler form.

Hope it helps. Mark my answer the BRAINLIEST!

A rectangular patio has an area of 2x² + 13x — 24 ft2. Use factoring to find possible dimensions of the patio. The patio is to be enlarged so that each dimension is 2 ft greater than it was originally. What are the new dimensions of the patio? What is the new area of the patio?

Answers

Answer:

Step-by-step explanation:

[tex]2x^2[/tex] + 13x - 24 to be factorised to find the dimensions:

[tex]2x^2[/tex] + 13x - 24

= [tex]2x^2[/tex] + 16x - 3x - 24

= 2x(x+8) - 3(x+8)

= (2x-3)(x+8)

Length = (2x-3)

Breadth = (x+8)

∴ Increasement in length = 2x - 3 +2 = (2x -1)

Increasement in breadth = x + 8 + 2 = (x+10)

Please mark my answer BRAINLIEST!!

What is the solution to the equation?

9/10 x+4/5=28.3


choices:
x=133/5
x=275/9
x=97/3

Answers

Answer:

x = 275/9

Step-by-step explanation:

Use factoring to arrange the following algebra tiles first into one rectangle and then into two rectangles of equal size.
(image)

Answers

Answer:

hmm

Step-by-step explanation:

Can you solve this for me? Thanks! :>

Answers

Answer: The first one

Step-by-step explanation: if it's a negative number it means that the lower the number is the higher.

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the expressions given in words with their values when m = 6.
21
2
3
42
15
the quotient of 6 divided by the
difference of m minus 3
arrowRight
the sum of m and 3 divided by the
difference of m minus 3
arrowRight
the sum of 3 times m and 4 times m
arrowRight
the difference of the product of 3 and m
minus the quotient of m divided by 2

Answers

Answer:

hi so here is the answer: 1=2

1=2

2=3

3=42

4=15

Step-by-step explanation:

1=2 that is all I know as of right now sorry, that is the best I can do

PLEASE ANSWER ASAP
A study was conducted comparing the speeds of 2 different fish, Fish A and Fish B. The table shows the distance, in meters, Fish A travels in seconds. Scientists
concluded that Fish B travels 3 meters every 2 seconds.

Assuming both fish swim at a constant rate, which fish swims faster and by how many meters per second?

Answers

Answer:

Fish A travels faster and by 0.1 meters per second.

Step-by-step explanation:

According to the table, you can see that the seconds are not being measured constantly. To determine the rate of change of meters per second, we can use subtraction on both the numerator and denominator of the expression. Where we divide it into 1 second.

meters/second → 4.8 – 1.6 / 3 – 1 = 3.2 / 2 =

1.6 meters/second.

Now we can compare the rate from fish B by also diving it into 1 second.

3 meters every 2 seconds → 3/2 =

1.5 meters/second.

Since 1.6 > 1.5, Fish A is faster!

And to compare the simplified rates

1.6 – 1.5 = 0.1 meters.

So Fish A is 0.1 meters faster!

please show work if possible and please do 1,2,3,4 also please read the directions.

Answers

1=3392.92

2= 4071.50

3 = 5387.83

4 = 785.40

Steps on how I did it on the picture below, If you have any other questions contact me through discord Acathia#0103

Step-by-step explanation:

1: 3392.92
2: 4071.50
3: 5387.83
4: 785.40

???????????????????????????

Answers

Answer:

12 and 78 are complementary.

80 and 100 are supplementary.

50 and 50 are neither.

Step-by-step explanation:

Hope it helps! =D

The correct answer gets brainliest

Let theta be an angle such that cos(theta)=-1/9 and 0<=theta<=2pi

Assume that cos(theta/2)<0. Then if
Terminal point of theta/2 = (a_1, a_2),
enter a_1 and a_2 in that order.

Answers

Using the cosine half angle formula,

[tex]\cos \frac{\theta}{2}=-\sqrt{\frac{1-\frac{1}{9}}{2}}=-\frac{2}{3}[/tex]

Using the sine half angle formula,

[tex]\sin \frac{\theta}{2}=\sqrt{\frac{1+\frac{1}{9}}{2}}=\frac{\sqrt{5}}{3}[/tex]

So, [tex]a_1=-\frac{2}{3}[/tex] and [tex]a_2=\frac{\sqrt{5}}{3}[/tex].

Let's use the unit circle to find the terminal point of theta/2.

The unit circle is a circle with a radius of 1 that is centeed at the origin (0,0) in the coordinate plane. For any angle theta in the interval [0, 2pi), the terminal point of theta in the unit circle can be found using the coordinates (cos(theta), sin(theta)).

Since cos(theta/2)<0, the terminal point of theta/2 lies in either the 2nd or the 3rd quadrant of the coordinate plane. In the unit circle, the 2nd and 3rd quadrants are defined by the points with negative y-coordinates, so for the terminal point of theta/2, we have:

a_1 = cos(theta/2)
a_2 = sin(theta/2)

Both a_1 and a_2 are negative because the terminal point of theta/2 lies in the 2nd or 3rd quadrant.

please help!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1. 16 inches

2. 1256 square feet

HELP LIKE ASAP!!!!!!!!!!!!!!!!

Answers

Answer: A C and D

Step-by-step explanation:

What I did was look at point A, we see it starts at (-8, 6) this means that if it were to be shifted right 9 and down 4 we would get (1, 2). so, all the answers claiming that the points were shifted right 9 and down 4, or x+9 y-4 are correct.

your answer would be the first option the 3rd and the last option

What is the value of n in the equation n + 7.6 = 13.82?
Group of answer choices
n = 14.58
n = 6.22
n = 21.42
n = 13.08
Thanks!

Answers

The value of n is 6.22
The value would be 6.22

Explanation: N is the number that you are trying to find and if N + 7.6 is equal to 13.82, an easy way to find N is by subtracting 7.6 from 13.82 (13.82-7.82=6.22)

What is the product of a number and 15 plus 12, written as an algebraic expression?

Answers

Answer:

15x + 12

Step-by-step explanation:

Answer: hope this helps ♡

15x+12

What is the value of x

Answers

Answer:

120

Step-by-step explanation:

Assuming its an isosceles triangle (2 angles adj the same), its just 180-30-30 = 120

Answer:

My estimation 60 degrees

Step-by-step explanation:

since both of the two angles are 30 degrees i added the two to get 60 degrees am sorry if its wrong

Please help me I'm desperate

Answers

Answer:

240

Step-by-step explanation:

I think you just add them all together

Identify the factor pairs of ac you could use to rewrite b to factor each trinomial by grouping. (27, 29, 31)
(IMAGE)

Answers

Answer:

Step-by-step explanation:

(27) [tex]7x^2[/tex] + 9x + 2

= [tex]7x^2[/tex] + 7x + 2x + 2

= 7x(x+1) + 2(x+1)

= (7x+2)(x+1)

(29) [tex]8x^2[/tex] - 2x - 1

= [tex]8x^2[/tex] - 4x +2x - 1

= 4x(2x-1) +1(2x-1)

= (4x+1)(2x-1)

(31) [tex]15x^2[/tex] - 16x - 7

= [tex]15x^2[/tex] + 5x - 21x - 7

= 5x(3x + 1) - 7(3x+1)

= (5x-7)(3x+1)

help me plsssss!!!!!

Answers

Answer: The correct answer is 34.5

Step-by-step explanation:

1. She did not need to multiply both sides by -7.5

2.  A negative * a negative will make a positive number

Hope this helps!

The correct answer is 34.5
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