Use a cofunction identity to rewrite cos(120° − (30° + a)).

Answers

Answer 1

Answer:

sina

Step-by-step explanation:

Using the cofunction identity

cos(90 - x) = sinx , then

cos(120 - (30 + a) )

= cos(120 - 30 - a)

= cos(90 - a)

= sina

Answer 2

An expression is defined as a set of numbers, variables, and mathematical operations. Using a cosine function identity cos(120° − (30° + a)) can be written as sin a.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given cosine expression can be rewritten as,

cos(120° − (30° + a))

Opening the bracket, to simplify the angle,

= cos(120° − 30° − a)

= cos(90° − a)

Since the cosine and sine angles are complementary to each other, therefore, cos(90° − x) = sin(x), thus, we can write the expression as,

= sin a

Learn more about Expression:

https://brainly.com/question/13947055

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Related Questions

PLEASE HELP IM CHECKING MY ANSWERSSS!!!

Answers

the answer u have is correct

Which box plot has the most variability A,B,C,D

Answers

IM LITERALLY BALLING MY EYES OUT

Ari exercises 1 5/8 hours per day. If he exercises five days a week, how many total hours does he exercise in a week?

HELPP\ PLEASE / QUICKLY !!!!!!!\

Answers

Answer:

8.125

Step-by-step explanation:

Just do 1 and 5/8 times 5

Answer:

8 1/8 hours a week

Step-by-step explanation:

I 5/8 times 5 gives me the product of 8.125. After converting that to a mixed number, you get 8 1/8.

You're welcome.

If f(x) = x2 – 3, find f (5)

Answers

Answer:

5*2 - 3

10-3

7

Step-by-step explanation:

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Plug in 5 as the x f(5)=5(2)-3
Which means f(5)=7

En la última cena de los campamentos los monitores piensan servir dos perritos calientes para cada uno de los 35 niños las salchichas se venden en paquetes de 5 y los panecillos en paquetes de 6 ¿cuantos paquetes de salchichas y de panecillos tiene que comprar?

Answers

Answer:

is this question in Spanish

please HELPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

1/2!!! hope this helps!

Answer:

y=1/2x-1 1/2 = Proper fraction

y=1/2x-3/2= improper fraction

y=x-2 = integer

Step-by-step explanation:

Volunteers at Sams school use some of the student councils savings for a special project.They buy 4 backpacks for $9 each and fill each backpack with paper and pens that cost $5.By how much did the student councils savings change because of this project?

Answers

Answer: The student councils savings change by $41.

Step-by-step explanation:

Number of backpacks = 4

Cost of each backpack = $9

Paper and pen costs = $5

Total spending = (Number of backpacks ) x (Cost of each backpack ) + (Cost of paper and pen)

= $ (4 x 9 +5)

= $ 41

Hence, the student councils savings change by $41.

If
[tex] \cos(330) = \frac{ \sqrt{3} }{2} [/tex]
Prove that:
[tex] \tan(165) = \sqrt{3} - 2[/tex]
Please solve this question.​

Answers

Answer:  see attachment

Step-by-step explanation:

Given: cos 330 = √3/2

Prove that tan (165) = √3 - 2

Step-by-step explanation:

cos330° = cos(360° - 30°) = cos(2π - 30°)

Using, cos(2π - x) = cosx, x < 90°

=> cos(2π - 30°)

=> cos(30°)

=> √3/2 , proved

(ii): tan(165°) = tan(180° - 15°) = tan(π - 15°)

Using, tan(π - x) = - tanx

=> tan(π - 15°)

=> - tan15°

=> - (-√3 + 2)

=> √3 - 2 proved

For tan15° :

Using, tan2x = 2tanx/(1 - tan²x)

tan30° = 2tan15°/(1 - tan²15°)

1/√3 = 2tan15° / (1 - tan²15°)

1 - a² = 2√3 a {a = tan15°}

Solving this we get, a = -√3±2

As a = tan15°, it can't be -ve, thus

a = tan15° = -√3 + 2

Which expression is equivalent to (3x2-6) – (5x2 - 7x+5)-(9x + 3)?

Answers

Answer:

It equals -2

Step-by-step explanation:

Plzzz answer urgently willark brainliest and will also follow plssss​

Answers

Answer: THE LENGTH OF AB IS 13CM

Step-by-step explanation:

tehe lets be friendssss

Help me please !!!!!!!!!!!!!!

Answers

Answer:

-8

Step-by-step explanation:

All the other numbers like z=-3 and w=4 is all to trick you they aren't used. They put them there because it makes it harder to focus on one number and it throws you off. It's just doing the math by replacing the "x" with -1 and boom you have your answer!

Hope This Helps!!! Have a great day!!!

<3<3

CORRECT ANSWER WILL GET BRAINLIEST!!!!

Answers

Answer:B

Step-by-step explanation: Divide 88 to 11 And You Got Your Answer.

Answer: The correct answer is B. 11x = 88, Divide both sides by 11. Bianca had $8

Step-by-step explanation:

Identify the parent function.
y
LO
-5
5
-5

Answers

I’m pretty sure it’s Y because in a standard parent function, the equation is y=x.

find the inverse of f(x)=x^3-8

Answers

Answer:

Step-by-step explanation:

help please i need help

Answers

Answer:

m=(2,0)................

Answer:

[tex]m=\frac{1}{2}[/tex]

Step-by-step explanation:

Points (0,0) and (2,1)

[tex]x_{1} =0\\x_{2} =2 \\y_{1} =0\\y_{2} =1[/tex]

[tex]m=\frac{changein (y)}{change in (x)}[/tex]

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-y_{1} }[/tex]

[tex]m=\frac{{1}-(0) }{2-(0)}[/tex]

Simplify

[tex]m=\frac{1}{2}[/tex]

Horizontal and parallel lines e and f are cut by transversals c and d. All angles are described clockwise, from uppercase left. The intersection of lines d and c form angles: 1, 2, 4, 3. The intersection of lines f and c form angles 5, 6, 8, 7. The intersection of lines e and d form angles 9, 10, 12, 11. The intersection of lines f and d form angles 13, 14, 16, 15.
In the diagram, m∠3 = 120° and m∠12 = 80°. Which angle measures are correct? Check all that apply.

m∠1 = 60°
m∠13 = 80°
m∠6 = 80°
m∠5 = 60°
m∠10 = 120°
m∠ 14 = 100°

Answers

Answer:

The correct answers are A, B, D, and F

Step-by-step explanation:

I just took the test ( i hope this helps!!! )

Answer:

a, b, d, f

Step-by-step explanation:

I need help pleaseeeeee​

Answers

Answer:

c

Step-by-step explanation: because if you go up 5 then move 4 left you will get to the number coresponding it c

answer THE ANSWER IS C, 0 TO 1750

Step-by-step explanation:

Someone help me please ill mark brainliest

Answers

Answer:

B?

Step-by-step explanation:

A B and C are the same

A line goes through the point (6,-2) and has a slope of
-3
What is the value of a if the point (a, 7) lies on the line?
a
Dome

Answers

Answer:

Step-by-step explanation:

eq. of line is y-(-2)=-3(x-6)

y+2=-3x+18

y=-3x+18-2

y=-3x+16

∵(a,7) lies on it.

7=-a+16

a=16-7=9

a=9

reply with anything :D

Answers

Answer:

anything :D

Step-by-step explanation:

what is the sum of zeros of the equation (m-10)(6m-1)=0. Ancwer your question as a fraction




PLSSS SOMEONE ANCWEE THISS BEGGINGG.​

Answers

Answer:

The sum of zeros is [tex]\frac{61}{6}[/tex]

Step-by-step explanation:

The Rule of Zero Product

The rule of zero product states that the product of two nonzero elements is nonzero. It can be written as the following assertion:

If a.b=0, then a=0 or b=0

The equation

(m-10)(6m-1)=0

can be solved by applying the mentioned rule:

[tex]m-10=0 \ \ \Rightarrow m=10[/tex]

[tex]6m-1=0 \ \ \Rightarrow m=1/6[/tex]

The sum of both solutions is:

[tex]\displaystyle 10+\frac{1}{6}=\frac{61}{6}[/tex]

The sum of zeros is [tex]\mathbf{\frac{61}{6}}[/tex]

Hello I need help for this math homework please

Answers

Answer:

1. first option

2. second option

3. second option

Step-by-step explanation:

i dunno i did the math and used a calculator. im pretty confident with my answers so hopefully theyre right

Convert the following repeating decimal to a fraction in simplest form.
.78

Answers

Answer:

78/100

Step-by-step explanation:

Since .78 is in the hundredths place just move the decimal two places to the right then put it over 100. But idk if you mistyped this because .78 is not a repeating decimal

Answer:

6/9

Step-by-step explanation:

Change 0.7878 to a fraction.

Let n = 0.7878... Multiply both sides by 100 (by 100 when there are two repeating decimal digits)

100n = 78.7878... Subtract n from 100n.

99n = 78 Divide both sides by 99

n = 78/99 but n is 0.7878..., so

0.7878... = 78/99

Similarly with 0.66...

Let n = 0.66... Multiply both sides by 10 (by 10 when there is only one repeating digit)

10n = 6.66... Subtract n from 10n.

9n = 6 Divide both sides by 9.

n = 6/9 but n is 0.66..., so

0.66... = 6/9

Given the perimeter of a rectangle and either the length or​ width, find the unknown measurement using the appropriate formula.
The perimeter is 70ft . and the width is 16ft .

Answers

Answer:

Step-by-step explanation:

Givens

P = 2*L + 2*W

P = 70

w = 16

Solution

70 = 2L + 2*16

70 = 2L + 32

70-32 = 2L

38 = 2L

38/2 = 2L/2

L = 19

Which of the following expressions does not mean the same as the other three?
A.x+(-17)
B.-17 + x
C.x-17
D.x- (-17)

Answers

The Final Answer Is c. X-17

I need help pls!!! Eeeeeek

Answers

Answer:

first

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Please Help Me!!!! ;)

Answers

Answer:

Value of x: 110

Step-by-step explanation:

5+5=10

120-10=110

Can somebody plz help?

Answers

Answer: 40/20

Step-by-step explanation: 8/10 x 5/2 = 40/20 or you can say 2, you got to flip the equation

Debbie Redden has a 25%-off coupon and is purchasing a
2.5 gallon can of primer sealer paint that has a regular price
of $39.99.
a. What is the markdown?
b. What is the sale price?
c. What is the sale price using the percent paid method?

Answers

a) the markdown is $9.99
b) original sale price is $39.99
c) after using the coupon the price would be $29.99

in order to find this out you would first divide the original price of 39.99 by 100 in order to find out what 1% is. Then you would multiply this number by 25 to find out what 25% is. Then you would subtract the original amount of 39.99 by the 25% amount in order to find out how much is taken off

Need help asap
x=4 and y= -9
2xy+15x

Answers

Answer:

12

Step-by-step explanation:

2xy+15x

Let x=4 and y= -9

2(-4)(-9) + 15(-4)

Multiply

72 -60

Subtract

12

Answer:

-12

Step-by-step explanation:

2(4)(-9)+15(4) is what it should look like.

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