The price of a notebook has risen to $3.70 today. Yesterday's price was $3.20 . Find the percentage increase. Round your answer to the nearest tenth of a percent.

Answer:

this is a required answer.

The given identity is proved.

Trigonometric Identities are the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation

According to the given question we have a trigonometry identity.

[tex]cos(x)cos(y)[tan(x)+tan(y)] = sin(x+y)[/tex]

To prove the above the identity, we show that R.H.S = L.H.S

So,

[tex]L.H.S = [cos(x)cos(y)][tan(x)+tany(y)][/tex]

[tex]\implies L.H.S = [cos(x)cos(y)][\frac{sinx}{cosx} +\frac{siny}{cosy} ][/tex]

[tex]\implies L.H.S = [cos(x)cos(y)][\frac{sinxcosy+sinycosx}{cosxcosy} ][/tex]

[tex]\implies L.H.S = cos(x)cos(y) \frac{sin(x)cos(y)+sin(y)cos(x)}{cos(x)cos(y)}[/tex]

[tex]\implies L.H.S = sin(x)cos(y)+ sin(y)cos(x)[/tex]

[tex]\implies L.H.S = sin(x+y)...(i)[/tex]

And from the given trigonometry identity,

[tex]R.H.S = sin(x+y)..(ii)[/tex]

Therefore,

L.H.S = R.H.S

⇒ [tex]cos(x)cos(y)[tan(x)+tan(y)] = sin(x+y)[/tex]      (proved)

Hence, the given identity is proved.

Find out more information about trigonometric identities here:

https://brainly.com/question/12537661

#SPJ3

The Options A and B given are correct. Based on trigonometric identities,

A) (cos A)(tan A) = sin A is correct.

B) tan B = [tex]\dfrac{sinB}{cosB}[/tex] is correct,

C) cos A = sin(90° - B) is incorrect.

Trigonometry is a mathematical concept that is responsible for the dealings of the relationships between the angles and sides of triangles.

In the given triangle ABC, ∠A is greater than ∠B.

A) Given that

(cos A)(tan A) = (cos A)([tex]\dfrac{sinA}{cosA}[/tex])

                      = sin A.

B) In the triangle ABC,

tan B = [tex]\dfrac{AC}{BC}[/tex]

By dividing the numerator and denominator by AB,

tan B = [tex]\dfrac{\frac{AC}{AB} }{\frac{BC}{AB} }[/tex],

tan B = [tex]\dfrac{sinB}{cosB}[/tex].

C) cos A = sin(90° - A) which is not as same as the equation in option C.

Thus, it is proven that options A and B are TRUE.

Learn more about Trigonometry here:

https://brainly.com/question/29156330

#SPJ6

The complete question is as follows:

Decide which of the following statements are TRUE based on the given triangle below. Assume the figure is drawn to scale such that angle A is greater than angle B.

A) (cos A)(tan A) = sin A,

B) tan B = [tex]\dfrac{sinB}{cosB}[/tex],

C) cos A = sin(90° - B).

Answer:

X=4

Step-by-step explanation:

8*2=16

since equilateral it has to be 4*4

welcome brainliest pls

Answer:

possible lengths

45 and 2

3 and 20

5 and 18

15 and 6

10 and 9  

there perimeter will be

94

46

46

27

38

answer to this question is  15 and 6

Answer:

Your answer is B

Step-by-step explanation:

Here you go mate

Step 1

2w + 5w - 6 + 4w  Equation/Question

Step 2

2w + 5w - 6 + 4w  Simplify

2w + 5w - 6 + 4w

Step 3

2w + 5w - 6 + 4w  Combine the like terms

(2w+5w+4w)+(-6)

Step 4

(2w+5w+4w)+(-6)  Add them

Answer

11w-6

Hope this helps

Answer:

y = 4x + 2

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

1) 1/10

2)16/100

3)6..../10

4) 3/5

Pls give me brainliest I rly need it!

Step-by-step explanation:

The answer is: [tex]\frac{1}{x}[/tex].

I'll attach a photo with my work below. Have a good day, and good luck on your assignment! :)

Answer:

c

Step-by-step explanation:

Answer:

Q bc in decimal form its about 3.16 or something

Step-by-step explanation:

:)

Answer: Minimum of 13 balls

Step-by-step explanation:

If the gym teacher has $200 to spend and each ball costs a minimum of $15, she can buy:

= 200/15

= 13.3

= 13 balls

This is a minimum number as some balls might be more expensive than $15.

A quadrilateral has 4 sides and 4 angle.

The sum of the 4 angles need to equal 360 degrees.

4th angle = 360 - 25-40-90

4th angle = 205 degrees.

Answer:

Blue

Step-by-step explanation:

Blue appears 4 times which is more than any of the others

Answer:

4Blue

3Green

2 Orange

3 modes (Trimodal)

hope it's helpful ❤❤❤❤

THANK YOU

Answer:

C. 36π

Step-by-step explanation:

π·r^2=area

Answer:

A, 4

B, 0

Step-by-step explanation:

gcf = 4

32-28 = 4 (4-4) = 4(0) = 0

can i get brainliest?

Answer: a4 b0

Step-by-step explanation:

gcf = 4

32-28 = 4 (4-4) = 4(0) = 0

Answer:

simplify the expression:

8 + 18w

Step-by-step explanation:

i hope this helps!

Answer: 8 + 18w

Step-by-step explanation: PLs mark me as brainlisti have great day

Answer:

48 inches

Step-by-step explanation:

64 - 16 = 48 inches

Answer:

Meter is the answer as per the question

Answer:

NO CLUE

Step-by-step explanation:

UR WELCOME

Answer:

3+1.2c≥13.50       c≥8.75

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Hope this is helpful

Answer:

$8320

Step-by-step explanation:

3.25% of 256000 = 0.0325 × 256000 = 8320

Answer:

Step-by-step explanation:

The equation of a linear function in point-slope form is y – y1 = m(x – x1)

The point is A (x1 , y1)

in this exercice : x1 = 3  and  y1 =2

let  A(3,2)    B(-9,6)

the slope is : m =   (YB - YA)/(XB -XA)

(6-2)/(-9-3)  =4/(-12)  = -1/3

the slope is   m = -1/3

The equation is :  y – y1 = m(x – x1)

y-2 =-1/3 ( x-3)

or : 3y-6 = -x+3

The equation of the line that represents the line passing through the points (3, 2) and (-9, 6) is y=(1/-3)x+3.

The equation of line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is constant.

The slope of the line passing through the points is (3, 2) and (-9, 6) is,

[tex]m=\dfrac{6-2}{-9-3} = \dfrac{4}{-12} =\dfrac{1}{-3}[/tex]

The general equation of a line is y=mx+c, now substitute any point in the equation to know the value of the constant c,

[tex]y=mx+c\\\\2=\dfrac{1}{-3}(3)+c\\\\2=-1+c\\\\2+1=c\\\\c=3[/tex]

Hence, the equation of the line that represents the line passing through the points (3, 2) and (-9, 6) is y=(1/-3)x+3.

Learn more about the Equation of a line:

https://brainly.com/question/21511618

#SPJ2

Answer:

it is 4.8 .................

Answer:

75

Step-by-step explanation:

Well a triangle equals to 180. So you would add 60 and 45 together than substrate the sum to 180.

60+45=105

180-105=75

Answer:

1,3%

Step-by-step explanation:

[tex]x^{20} * 710 = 920\\x^{20} = 1.3\\x = 1.013[/tex]

Answer:

70-45=25

70-25=45

Step-by-step explanation:

45+25=70

forty-five plus twenty-five equals seventy because if you ignore the fives and save those for later you will have forty and twenty and forty and twenty makes sixty and then you bring back the fives and add those together and get ten, then you add ten to sixty and you get seventy.  

Answer:

The range is the set of all valid y values. Use the graph to find the range.

Interval Notation:

(−∞,∞)

Set-Builder Notation:

{y|y∈R}

Step-by-step explanation:

Answer:

0.125

Step-by-step explanation:

Hope this is helpful