Express sin(-184) as a function of a positive acute angle.

Answers

Answer 1

The sin(-184) can be expressed as cos 86° as a function of a positive acute angle.

How do you express a trigonometry function as a positive acute angle?

To express a trigonometry identity as a function of a positive acute angle, we need to find the quadrant in which that given identity is located.

Here, we have a negative trigonometry identity: Sin (-184)

Recall that:

the sine is negative in the third quadrant(III)

So, to turn that to a positive sign, we add 360

=sin(-184 + 360)

= sin(176)

To find the positive acute angle, we have:

x = cos(176 - 90)

x = cos 86°

Therefore, we can conclude that the sin(-184) can be expressed as cos 86° as a function of a positive acute angle.

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Related Questions

What is the equivalent expression to (-18)-64n? A. -2(9-32n) B. 2(9-32n) C. -2(9+32n) D. 2(9+32n)

Answers

Answer:

C. -2(9 + 32n)

Step-by-step explanation:

-2(9 + 32n)

= -2*9 - 2*32n

= (-18) - 64n.

x+4>3
Help, solve for x, give the interval notation...

Answers

Solution:

[tex]x > - 1[/tex]

[tex]\huge\mathfrak\colorbox{white}{}[/tex]

Interval Notation:

x ∈ (-1,∞)

helppppop this is 7th grade math

Answers

b and d are equivalent

the answer is B, D and F. I hope this was helpful

I need help with this pls!!

Answers

Answer:

Second choice

Step-by-step explanation:

This is a circle with center at   0,0

 radius = sqrt 100 = 10

Whats the soulution to the stimultaneous equation 2x-3y=-1 and y=2x+3

Answers

Answer: x = -2, y = -1

Step-by-Step Explanation:

Lets solve this by Substitution;

=> 2x - 3y = -1 (Eq. 1)
=> y = 2x + 3 (Eq. 2)

From Eq. 2 we get the value of ‘y’ in terms of ‘x’

Substitute value of ‘y’ from Eq. 2 in 1 :-

2x - 3y = -1
2x - 3(2x + 3) = -1
2x - 6x - 9 = -1
-4x - 9 = -1
-4x = -1 + 9 = 8
=> x = 8/-4 = -2

Therefore, x = -2

Substitute value of ‘x’ in Eq. 2 :-

y = 2x + 3
y = 2(-2) + 3
=> y = -4 + 3 = -1

Therefore, y = -1

Find the measure of all sides. Round to the nearest tenth.

Answers

Answer:

the value of x=9 and AB(h)=9.396


application factorise 5x²-20​

Answers

5x²-20

5(x²-4)

hope it helps...!!!

P(Head, Diamond AND Head, Heart) = ?

Answers

The probability of drawing a head card of diamonds and then a head card of hearts is:

P = 0.003

How to find the probability?

Here we assume that we have a deck of 52 cards, and we want to find:

P(Head, Diamond AND Head, Heart)

This is the probability of drawing a head of diamonds and then a head of hearts.

Remember that for each suit has 3 head cards, J, Q, and K.

Then for the first card, the probability of getting a head of diamonds is equal to the quotient between the number of cards with these properties (3) and the total number of cards (52).

P = 3/52

Then we need to draw a head of hearts, the probability is computed in the same way, but before we drew a card, so now the total number of cards is 51, so we get:

Q = 3/51

Then the joint probability is:

p = (3/52)*(3/51) = 0.003

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The government conducted a study and collected the given data. use the
data to answer the following questions.
speed (mph) 45 55 65 75
fuel (mpg) 43 45 38 32
find the quadratic regression model that represents the relationship
between speed and fuel. round your answer to two decimal places

Answers

The quadratic regression equation is y = -0.02x^2 + 2x - 6

How to determine the quadratic regression?

The table of values is given as:

speed (mph) 45 55 65 75

fuel (mpg) 43 45 38 32

Next, we determine the regression equation using a graphing calculator (see attachment)

From the graphing calculator, we have:

a = -0.02, b = 2 and c = -6

A quadratic regression is represented as:

y = ax^2 +bx + c

So, we have:

y = -0.02x^2 + 2x - 6

Hence, the quadratic regression equation is y = -0.02x^2 + 2x - 6

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Find the vertex. f(x) = 9x²+1​

Answers

the vertex is (0, 1)
Answer: (0,1)

Hope this helps!

1/12
Is this good?please help me I’m dying

Answers

Answer:

hey its fine but just add one more line in the between somewhere because it should be total 12 sectors and you have only 11.

Step-by-step explanation:

check the pic for reference

Answer:

I think it should be good =D

Step-by-step explanation:

Factor
please help :)

Answers

Answer: Heyaa! :)

Your Answer Is.. (3w+7)² Or is 1 depending on if u want the GCF (GFC means to.. Find the prime factors of each term in order to find the greatest common factor (GCF).

Step-by-step explanation:

Factor using the perfect square rule.

Step-by-step explanation:

9w²+42w+49

since this is in (a-b)² form

3²w²+2*3w*7+7²

(3w+7)²

Please help ASAP!!
see attachment below!

Answers

hey there !

7C5 = 7 x 6 x 5 x4x3/5 x 4 x 3 x2x1 = 7

Hence option d is correct z

-3/5, 6/5, -12/5 whats the next term of the geometric sequence?

Answers

Answer:

24

Step-by-step explanation:

The numerators are being multiplied by -2

Can somebody help me on this

Answers

Answer:

7 + 7 = 14

you have 7 apples and add 7 more thats 14

Step-by-step explanation:


19-29 find the derivative of the function using the definition of derivative. state the domain of the function and the domain of its derivative.
19. [tex]f(x)=3 x-8[/tex]

Answers

Answer:

The derivative of that function is 3x.

The domain of f(x) = x∈ℝ

The domain of f(x) is also x∈ℝ

Step-by-step explanation:

What's for b). Help me​

Answers

Answer:

Step-by-step explanation:

Remark

First take a look at A. It is a pretty good idea always to write the formula you are using before you begin a solution and go step by step from the formula. Also write your givens. I know it sounds like a lot of work. It really isn't. You are creating a habit.

Givens

n = 8

Sn = ?

d = -6

a = 90

Formula

S8 = a + (n - 1)*d

Solution

s8 = 90 + (8-1)*-6

s8 = 90 + 7 * -6

S8 = 80 - 42

S8 = 38

Part B

Here's where the formula is your friend. Let's suppose it is. Then solve for n. If we get an integer for the term number, then all is well. If we don't, and we get some kind of fraction, then 5 is not a member of the sequence.

Givens

Sn = 5

n = ?

d = -6

Formula

Sn = a + (n - 1)*d

Solution

5 = 90 + (n - 1)*-6                    Subtract 90 from sides

5-90 =90-90 +(n - 1)*-6          Combine    

-85 = (n -1)*-6                          Divide by - 6

-85/-6 = (n - 1)-6/-6

14 1/6 = n - 1                            Add 1 to both sides

14 1/6 +1 = n - 1 + 1                  Combine

15 1/6 = n

But a fraction is not permitted. So 5 is not a member of the sequence

Point S is the midpoint of RT the coordinates of point R and point T are listed below R(-11,-12) T(-7,-4) what are the coordinates of point S

Answers

Answer:

S (- 9, - 8 )

Step-by-step explanation:

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

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

here the endpoints are R (- 11, - 12 ) and T (- 7, - 4 ) , then

midpoint = ( [tex]\frac{-11-7}{2}[/tex] , [tex]\frac{-12-4}{2}[/tex] ) = ( [tex]\frac{-18}{2}[/tex] , [tex]\frac{-16}{2}[/tex] ) = (- 9, - 8 )

SOMEONE HELP ME PLEASEEE

Answers

Answer:

2

Step-by-step explanation:

First, you have to find the change in the sides you know the numbers of. 21/3 is 7, so it's being increased/decreased by 7 units. Now, just divide 14 by 7 to get your answer (2).

Hope this helps!

HELP QUICK ILL GIVE BRAINLEST

Answers

Answer:

C) 15, 20, 25

Step-by-step explanation:

If you plug this in pythagorean theorem, it works. The others don't.

PLEASE HELP ME OUT
8.)
Using special right triangles, what will be the y-coordinate of the point below?
a.)
5√3
b.)
5
√3
30°
10 units
(0,0)
c.)
d.)

Answers

Step-by-step explanation:

the answer is b 5 according to the graph

–51 ≤ x + 38 I need help please finals are tomorrow....

Answers

Answer:

x ≥ - 89

Step-by-step explanation:

−51 ≤ x + 38

Step 1: Flip the equation.

⇒ x + 38 ≥ - 51

Step 2: Subtract 38 from both sides.

⇒ x + 38 - 38 ≥ - 51 - 38x ≥ - 89 ====> Answer
x >- 89 is the answer to your question but under the greater than sign, put a line underneath it :))

Watch help video
ruby was out at a restaurant for dinner when the bill came. her dinner came to $27.
after adding in a tip, before tax, she paid $34.29. find the percent tip.

Answers

Answer:

I think it's 21.26%

Step-by-step explanation:

tip: 34.29-27=7.29$

the percent tip: (7.29×100)/34.29=21.26 (approximately)

IF a universal set U = {x:x belongs to N , x less or equal to 10} , A ={y:y = 2n , n belongs to N , n less than 5} and B ={z:z = 3n , n belongs to N , n less than 4}

Answers

Answer:

your answer is N = {xxx: =9n

can somene answer this ​

Answers

Answer:

Use the pythagorean theorem.

[tex]a^2 + b^2 = c^2[/tex]

The length of one leg, a is 11, and the length of the hypotenuse, the longest side (or c) is 17. Substitute

[tex]11^2 + b^2 = 17^2 \\121 + b^2 = 289\\[/tex]

Subtract 121 from both sides to isolate B

[tex]b^2 + 121 - 121 = 289 - 121\\b^2 = 168[/tex]

Take the square root of both sides to isolate b

[tex]\sqrt{b^2} =\sqrt{168} \\b = 12.961[/tex]

How do you do division/long division? I was never taught how, and now I am struggling with it. Please answer thoroughly, thanks <3

Answers

Answer:

See attached picture for example, hope it helps!

Step-by-step explanation:

Answer:Watch How to do long division (step by step) | 1 digit divisors

Step-by-step explanation:

How to do Long Division (Step by Step) | 1-Digit

What is the perimeter of a triangle whose sides are 3.8 cm. 4.7 cm and 5.6 cm!​

Answers

Answer:

Step-by-step explanation:

Easy, add up all the numbers. 3.8+4.7+5.6  which is 14.1!
Finding the area is the same thing, x*x, but dividing it all by two, (x*y)/2

Answer:

14.1 cm

Step-by-step explanation:

Perimeter : sum of the sides

3.8 + 4.7 + 5.68.5 + 5.6 14.1 cm

help me for 10 points

Answers

given:

edge= 5 in

to find:

the surface area of the given cube.

solution:

[tex]s.a = 6 {a}^{2} [/tex]

[tex]s.a = 6 \times {5}^{2} [/tex]

[tex]s.a = 150 \: {in}^{2} [/tex]

hence, the surface area of the given cube is 150 square inches.

There are 7 seniors on the high school soccer team. Two of them will be
chosen to be co-captains. How many ways are there to choose the co-
captains?
Decide if this is a permutation or a combination, and then find the number of
ways to choose the co-captains.

Answers

The two co-captians can be chosen in 21 different ways.

How many ways are there to choose the co-captains?

If the two co-capitans are equivalent, then we need to find combinations.

So we want to find how many combinations of 2 elements we can make out of a set of 7 elements.

This is given by:

[tex]C(7, 2) = \frac{7!}{(7 - 2)!*2!} = \frac{7*6}{2} = 21[/tex]

So the two co-captians can be chosen in 21 different ways.

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Marcus deposited his paycheck in the amount of $625.84. he’ll use the check register to record his transaction. what will be his new balance?

Answers

Based on the fact that Marcus has deposited his paycheck in the amount of $625.84, his new balance will be $1,266.15.

What is the paycheck about?

A pay check is known to be a cheque that is given to a person for a job done.

Note that Marcus Beginning balance: $640.31

He then Deposit of : $625.84

When you add both together,

His New Balance will be: $1,266.15

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Answer:

$1,266.15.

Step-by-step explanation:

edge

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