Given that sin(90 -5ϴ) = Cos(180 - ϴ), Find the value of ϴ​

Answers

Answer 1

Answer:

30°

Step-by-step explanation:

[tex] \because \: \sin(90 \degree - \theta) = \cos \theta \\ \therefore \: \sin(90 \degree - 5 \theta) = \cos 5\theta....(1) \\ \\ \sin(90 \degree - 5 \theta) = \cos(180 \degree - \theta)...(2) \\ from \: (1) \: and \: (2) \\ \cos 5\theta = \cos(180 \degree - \theta) \\ 5 \theta = 180 \degree - \theta \\ 5 \theta + \theta= 180 \degree \\ 6\theta= 180 \degree \\ \theta = \frac{180 \degree}{6} \\ \\ \huge \red{ \boxed{\theta = 30 \degree}}[/tex]


Related Questions

Appreciate any help greatly!!

Answers

pretty sure its E

just substitute x and z for a and c

hope it helps

Sarah has 8 cups of canned tuna for making tuna salad sandwiches. She uses 1/2 of a cup of canned tuna in each sandwich. what is greatest number of sandwiches she can make using 8 cups of canned tuna?

A. 1/8 B.2 C.1/16 D.16 please let me know thank you for your help!

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The greatest number of sandwiches she can make using 8 cups of canned tuna is D...16 sandwiches.

Hello i am a troll >:)

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⊂_ヽ

\\ Λ_Λ

\( ˇωˇ)

> ⌒ヽ

/ へ\

/ / \\

レ ノ ヽ_つ

/ / GOT DAT

( (ヽ

| |、\

| 丿 \ ⌒)

| | ) /

ノ ) Lノ

(_/

( ✌︎'ω')✌︎

(((o(*゚▽゚*)o)))

Please help I will be very grateful for this. pls also explain it will really help.

Answers

Answer: A) 1/8

Assuming the events "baby is a boy" and "baby has blue eyes" are independent, we simply multiply the given fractions to get (1/2)*(1/4) = 1/8

The sum of the angle measures of a quadrilateral is 360 degree . Write and solve an equation to find the value of x . the two numbers that are given are 100 and 100 and 120

Answers

Answer:

Step-by-step explanation:

I’m not too good with this but the answer should be 87.5

Answer:

82 degrees.

Step-by-step explanation:

Hope this helps!

I need help on math problem ASAP giving brainlist

Answers

Answer:

i'm pretty sure its improper.

Step-by-step explanation:

:) I really hope this helps

i think improper not sure tho

branlet will be marked so help out all my gemstones

Answers

Answer:

B is the right answer.

Step-by-step explanation:

56 + 0.08x = 164

0.08x = 164 - 56

0.08x = 108

0.08x/0.08 = 108/0.08

x = 1,350

To confirm that:

56 + 0.08x

56 + 0.08(1,350)

56 + 108

= 164

164 is the answer.

Ok so if your phone bill was $164
And your starting fee for five lines is $56, you would start with $56

What I would do is take $164 - $56 to get $108, then proceed to divide that by 0.08 to get 1350, and that would be my x variable

And the equation would be $56 + 0.08x =$164

Meaning the Answer Would Be:
B. 56 + 0.08x = 164, x = 1350

Identify the property illustrated by 3x + 4 = 4 + 3x

Answers

Explanation:

Answer:
All real numbers are solutions

Answer:

All real numbers are solutions

Step-by-step explanation:

two x squared + 5 square root of x+2

Answers

Answer:

2x²+5[tex]\sqrt{x+2}[/tex]

Step-by-step explanation:

What is the value of x in the equation - x - y = 30, when y = 15?

Answers

Answer:

X is 45

X-15=30

X=30+15

X=45

Step-by-step explanation:

i hope that hepled :)

Answer:

-15-y=30

Step-by-step explanation:

midpoint of AB with A(-3, 5) and B(1, 7).

Answers

Answer:

(- 1, 6 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]

Here (x₁, y₁ ) = A(- 3, 5) and (x₂, y₂ ) = B(1, 7) , thus

midpoint = [ [tex]\frac{1}{2}[/tex] (- 3 + 1 ), [tex]\frac{1}{2}[/tex] (5 + 7) ] = (- 1, 6 )

Help!!! Help please! Any help is appreciated

Answers

Answer:

infinity

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Infinity and beyondddd

12²+ 9 - 4
a) 119
b)147
c)137
d)221

Answers

Answer:

it will be 147

Step-by-step explanation:

12x12=144

Hi There!!

Well, Some sort your answer suppose to be 149.

Because,  [tex]12[/tex] [tex]x[/tex] [tex]12[/tex] ≈ 144 ⁺ 9 ≈ 153 - 4 ≈ 149

But, I guess your answer is B). 137.....

Hope This Helps!!~

[tex]Itsbrazts[/tex]

what is the value of x in the equation 2x + 5 = 21

Answers

Answer:

x=8

Step-by-step explanation:

2x + 5 = 21

Subtract 5 from each side

2x+5-5 = 21-5

2x= 16

Divide each side by 2

2x/2 = 16/2

x = 8

Answer:8

Step-by-step explanation:

2 times eight plus five is 21

preform the indicated opperation 5 1/6 - -2 2/3

Answers

Answer:

7 5/6

Step-by-step explanation:

Since you're a subtracting a negative, ti cancels each other out and ends up in addition. So it's 5 1/6+2 2/3. And to add fractions the denominators must be the same.

Thus, you multiple 2/3 * 2= 4/6. So 5+2=7.

And 1/6+4/6=5/6.

Therefore the answers is 7 5/6.

Haley fills a balloon with water until it becomes a sphere with a diameter of 5 centimeters. Approximately, how much water does the balloon contain? Use 3.14 for pi

Answers

Answer:

65.41

Step-by-step explanation:

65.3 cm³ is the amount of water filled in the balloon.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that Haley fills a balloon with water until it becomes a sphere with a diameter of 5 centimeters.

We need to find how much water does the balloon contain

It means we need to find the volume of the sphere with diameter 5 centimeters.

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

Volume of Sphere=4/3πr³

As diameter is 5

Radius=Diameter/2=5/2=2.5 cm

Volume=4/3×3.14×(2.5)³

=1.33×3.14×15.625

=65.25

=65.3

Hence, 65.3 cm³ is the amount of water filled in the balloon.

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Can someone help me? I really do not understand

Answers

Answer:

50⁰

Step-by-step explanation:

Add 130 plus 50 to get 180.

Answer:

x = 50°

Step-by-step explanation:

In a parallelogram consecutive angles are supplementary, thus

∠ BAC + ∠ ABD = 180°, that is

130° + ∠ ABD = 180° ( subtract 130° from both sides )

∠ ABD = 50°

Since ACDB and FGHE are congruent then corresponding angles are congruent, thus

∠ FEH = ∠ ABD = 50° =x

In Megan's class, 4/7 of the students are girls. Of the girls, 2/3 participate in sports. What fraction of Megan's class are girls who participate in sports? (Write your answer as a fraction.)

Answers

Answer:

Step-by-step explanation:

X = the number of students in Megan's class

4/7 X = the number of girls in the class (G)

4/7 * 2/3 = the number of girls in the class who participate in sports

4/7 * 2/3 = 8/21 of girls in Megan's class participate in sports

2. Use the diagram below to name the following.

Answers

Step-by-step explanation:

4 points appear-

12 lines appear..?

1 plane appears

4 collinear points.

There's 2 non-coplanar points??

4 intersections??

I hope this helped. I could be wrong, but that's how I solved it mentally.

How do i solve this for g(-3)?

Answers

Answer: g(-3) is 9 .

Step-by-step explanation:

So there are two functions  and  the first function says that to get the solution x has to be greater than 4   and -3 which is the input is not greater than 4  so you can't use that function to solve for g(-3).

using the second function , it says that  x has to be less or equal to 4. And -3 is indeed less than 4 so you have to use the second function to solve for g(-3)  

g(x) = -2x + 3     Input -3  and solve

g(-3) = -2(-3) + 3

g(-3) = 6 + 3

g(-3) = 9  

Which shows like terms from the expression? 9 + 5 + 7x2 + 3 x2y + 2x2 3 x2y and 2x2 7x2, 3 x2y, and 2x2 9 and 5 2, 3, 5, and 9

Answers

Answer:

9 and 5.

Step-by-step explanation:

So we have the expression:

[tex]9+5+7x^2+3x^2y+2x^2[/tex]

In order to combine like terms, the variables must be exactly the same: not one less, not one more.

3x²y and 2x² cannot be combined because the first value has a y.

7x², 3x²y, and 2x² also cannot be combined because the second value has a y.

9 and 5 is the only one that can be combined because they are just integers. They can be added to be 14.

2, 3, 5, and 9 cannot be combined because the 2 and the 3 are tied to the variables as coefficients. They are not constants.

To combine like terms, we can combine numbers with the same power and variables.

We are given the equation: 9 + 5 + 7x^2 + 3x^2y + 2x^2

We can combine 9 and 5 because they are whole numbers by themselves.

We can combine 7x^2 and 2x^2 because they are whole numbers that both have a variable (x) and the same power.

We can't combine anything to 3x^2y because no other number has these features.

Best of Luck!

Marli worked 37 hours this week.
She earned $15 per hour. She spent $62 on a
birthday gift for her sister. How much money
does Marli have left?

Answers

Divide it:)) hope that helps

Answer:492

Step-by-step explanation:

Solve for C please help me if the answer is correct I will mark you as the best answer!?!!!?!!

Answers

Answer:

Option 1

Step-by-step explanation:

When you move the a2-2b to the other side of the equation, their signs change too.

Answer:

option 1 is correct..

Hope it helps

Just look at the photo! Ill make u brainliest

Answers

Answer: C and D

Step-by-step explanation:

20% is equal to 0.2. And if we're adding from the previous day it's 1 whole + 0.2, which is 1.2. Times the variable.

And 1/5 is equal to 0.2. So its the variable and 20% added again.

Rename 1\10 and 1\4 using the least common denominator.

Answers

Answer:

1/20

Step-by-step explanation:

10 x 2 = 20

4 x 5 = 20

the both have 20 and it's the first they have in common so that's the common denominator

2/20 , 5/ 20  are the renamed denominators. Find calculations below

Find the renamed fractions

Information we have

Fractions = [tex]1/10 , 1 / 4[/tex]

As LCM ie least common multiple of denominators 10 & 4 = 20

So, multiplying numerator & denominator of [tex]1 / 10[/tex]  with 2, we get

[tex]( 1 X 2 ) / ( 10 X 2 ) = 2 / 20[/tex]

Similarly, multiplying numerator & denominator of [tex]1 / 4[/tex] with 5, we get

[tex]( 1 X 5 ) / ( 4 X 5 ) = 5 / 20[/tex]

Hence, renamed fractions with common denominators are [tex]2 / 20 , 5 / 20[/tex]

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2x-3y=15 solve and show steps please!!

Answers

Solving for Y:

1) Subtract -2x from both sides: -3y=15-2x

2) Divide by -3 on both sides: y=-5+(2/3)x

Final Answer: y = (2/3)x-5

x + 27 = 93
what does x =​

Answers

Answer:

x=66

hope this helped :)

So if x + 27 = 93 just subtract 93 from 27 and you will get 76 which is x

1. How do you identify the terms in an expression? 2. How do you determine the coefficient of a term if you don’t see a number in the term?

Answers

i hope you have good luck!!

A term is an expression is a set of constants, variables, and exponents, while the coefficient of a term is the numerical value present in the term.

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.

A term in an expression is a set of constant or numerical values, variables, and exponents. Each term of an expression is differentiated from others by a mathematical operation. For example, in the expression 2x²+6x-5, 2x², 6x, and -5 all three are terms and it is differentiated from others by the '+' and '-' operators.

The coefficient of a term is the numerical value present in the term. Let's understand this with the similar example above.

In term 2x², 2 is the coefficient.

In term 6x, 6 is the coefficient.

Hence, a term is an expression is a set of constants, variables, and exponents, while the coefficient of a term is the numerical value present in the term.

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Sue and Gwen each have large collections of CDs. Sue has twice as many CDs as Gwen. Together the girls have 96 CDs. Which equation could be used to find the number of CDs, x, that Gwen has?

Answers

Answer:

3x=96

Step-by-step explanation:

From the information given, you can write the following:

a+x=96 (1)

a=2x (2)

where a is the number of CDs that Sue has and x is the number of CDs that Gwen has.

You can replace 2 in 1 and you would have the following:

2x+x=96

3x=96

From this, you can isolate x to find its value:

x=96/3

x=32

According to this, the equation that could be used to find the number of CDs, x, that Gwen has is: 3x=96.

1.

Next

Expressions: Mastery Test

Select the correct answer from each drop-down menu.

Use the given expression to complete the statements.

58 - 8/3y + 13) - 1

In the first term, 5 is a

In the second term (3y + 13) is a

In the third term. -1 is a

Reset

Next

Answers

Complete question :

Select the correct answer from each drop-down menu.

Use the given expression to complete the statements.

5x - 8(3y + 13) - 1

In the first term, 5 is a

In the second term (3y + 13) is a

In the third term. -1 is a

Answer:

Kindly check explanation

Step-by-step explanation:

Given the expression : 5x - 8(3y + 13) - 1

In the first term :

5 a Coefficient, which is the numerical value which exists before and multiplying a variable usually in an algebraic expression. Hence since 5 exists before the variable x, then 5 is the Coefficient of x.

(3y + 13) is a factor in the expression 8(3y + 13), it was used to get a simplified form of the initial expression 24y + 104

-1 is a constant term in the algebraic expression as it has no variable attached to it

In the first term, 5 is a Coefficient,(3y + 13) is a factor in the expression 8(3y + 13)-1 is a constant term in the algebraic expression

Expression and equation

Given expression to complete the statements.

5x - 8(3y + 13) - 1

Given the expression : 5x - 8(3y + 13) - 1

In the first term, 5 is a Coefficient, which is the numerical value that exists before and multiplying a variable usually in an algebraic expression.

(3y + 13) is a factor in the expression 8(3y + 13), it was used to get a simplified form of the initial expression 24y + 104

-1 is a constant term in the algebraic expression as it has no variable attached to it.

Learn more on expression and coefficient here: https://brainly.com/question/17673900

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