Express cos 543 as a function of the reference angle.

Question 3 options:

cos183


-cos-3


cos-3


-cos3

Answers

Answer 1

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

Here's the solution :

[tex]\qquad \sf  \dashrightarrow \: \cos(543 \degree) [/tex]

[tex]\qquad \sf  \dashrightarrow \: \cos( 360 \degree+ 183 \degree)[/tex]

[tex]\qquad \sf  \dashrightarrow \: \cos(183 \degree) [/tex]

[tex]\qquad \sf  \dashrightarrow \: \cos(180 \degree + 3 \degree) [/tex]

[tex]\qquad \sf  \dashrightarrow \: - \cos(3 \degree) [/tex]

Therefore, the correct choice is D


Related Questions

If you only have a 1 3 cup measuring cup and a recipe calls for 5 1 3 cups of flour, how many 1/3 cups would you need to use?

Answers

Answer:

You would need 16 1/3 cups!

Step-by-step explanation:

I used an equation, but you could also use mental conversions! :

1/3c = 5 1/3

(1/3c)3 = (5 1/3)3 (multiply each side by 3 (3/1))

3c /3 = (48) /3 (divide each side by 3)

c = 16

:)

(c = cups!)

The requried number of 1/3 cups to make the recipe is 16.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

here,
Measuring cup = 1/3
Recipe required number of cups = 5 1/3 of flour,
Let the number of 1/3 cups = x
1/3x = 5 1 / 3
x/3 = 16 / 3
x = 16

Thus, the requried number of 1/3 cups to make the recipe is 16.

Learn more about models here:
https://brainly.com/question/22591166
#SPJ2

What is the value of the expression n(8n/10) when n =
5?

Answers

Answer:

(8n/10)

8 × 5 = 40

40 ÷ 10 = 4

Amelia has $25 to spend on makeup this week she loves lipstick each lipstick tube cost $4 what is the maximum number of lipsticks that she can purchase

one step inequality word problems ​

Answers

Answer:

ok so x is how many she can buy so

4x≤25

x=6.26

so she can buy 6

Hope This Helps!!!

Find the product. Simplify your answer.
(2v+2)(3v–2)

Multiplying Binomials.
I suck at math.

Answers

Answer:

See below.

Step-by-step explanation:

(2v+2)(3v-2)

6v²-4v+6v-4

6v²-2v-4

-hope it helps

(Also, I'm great at algebra, so let me know if you need anymore help.)

Step-by-step explanation:

2v (3v-2)+2 (3v-2)

6v^2-4v+6v-4

6v^2+2v-4

While shopping at the mall, Tom bought 3 hats and 4 pairs of glasses and spent $123. His friend Jerry bought the same type of items consisting of 1 hat and 3 pairs of glasses and spent $66. How much does a pair of glasses cost? How much does a hat cost?

Answers

Answer:

a pair of glasses costs $17

a hat costs $21

Step-by-step explanation:

h = hat

g = glasses

3h + 4g = 123

1h + 3g = 66

multiply the 2nd equation by 3

3h + 9g = 198

negate everything in the 1st equation and add it to the 'new' 2nd equation

    3h  + 9g = 198

+  -3h  - 4g = -123

5g = 75

g = 15

substitute the 15 in either one of the 1st equations

1h + 3(15) = 66

h + 45 = 66

h = 66-45

h = 21

to check, substitute both g=15 and h=21 into BOTH 2 original equations.

A class has 7 boys and 10 girls. Select all associated ratios for this class.

10:3
7:3
17:5
7:17
10:7
10:17
7:10
3:7

Answers

Answer:

7:10

Step-by-step explanation:

…..

because boys number is 7 and girl number is 10 so

I need this answered ASAP. A baseball hit by
a player in the major leagues
can leave the bat at a speed
of 110 miles per hour.
Suppose a batter hits a ball
at that speed directly back
to the pitcher’s mound,
about 61 feet from home
plate. To the nearest tenth of
a second, how long does it
take the ball to reach the mound?

Answers

it’s takes the ball 2.639 seconds to reach the mound

PLEASE HELP ME OUT I NEED THIS BY TODAY THANKS

Answers

Answer:

For this, you need to click the second one.

Step-by-step explanation:

Hey guys ! Can anyone help me with these problems please and thanks

Answers

1)

m = 3√2√2

= 6

n = a

= 3√2

Answer = D) m = 6 , n = 32

2)

m = n = a

m = 3

n = 3

Answer = A

Quadrilaterals are formed on the side of a fishing tackle box by the adjustable shelves and connecting pieces. Explain why the shelves are always parallel to each other no matter what their position is.

Answers

If both pairs of opposite sides of a quadrilateral are congruent then the quadrilateral is a parallelogram

Need help on the last problem please. Thank you

Answers

Answer:

sorry but i can not see clearly sorry

Step-by-step explanation:

i am realy realy sorry :( :(

let’s decide whether the following points are on the line 2x=y - 7


(-8.6, -10.2)

Answers

Answer:

14.997

Step-by-step explanation:

yea yeaaa i knowwww

Incorrect
Question 6
VNIA.
The figure is a trapezoid. Solve for the measure of angle Hand the measure of angle K.
1
439
H
a
104°
K
76
measure of angle H =
measure of angle K = 137

Answers

Answer:

∠H = 137°

∠K = 76°

Step-by-step explanation:

The sum of the interior angles of a trapezoid = 360°

In a trapezoid, the angles on the same leg (called adjacent angles) are supplementary, meaning they add up to 180°

The legs are the non-parallel sides:  JK and HI

Therefore, 104 + ∠K = 180

⇒ ∠K = 180 - 104 = 76°

And, ∠H + 43 = 180

⇒ ∠H = 180 - 43 = 137°

Sum of two adjacent angles in trapezium equals 180°

[tex]\\ \tt\hookrightarrow <H+43=180[/tex]

[tex]\\ \tt\hookrightarrow <H=180-43[/tex]

[tex]\\ \tt\hookrightarrow <H=137[/tex]

And

[tex]\\ \tt\hookrightarrow <K+104=180[/tex]

[tex]\\ \tt\hookrightarrow <K=180-104[/tex]

[tex]\\ \tt\hookrightarrow <K=76°[/tex]

The question is in the picture.

Answers

Answer:

x = 7[tex]\sqrt{3}[/tex]

Triangle area formula: base * height * 1/2

We are given:

Base - 14 cm

Height - x

Using the pythagorean theroem (a^2 + b^2 = c^2) we can figure out the height.

We are given:

Side a - 14 / 2 = 7 cm

Side b - the height (x)

Side c - 14 (it's an equilateral triangle)

Now, substitute the given values:

7^2 + x^2 = 14^2

49 + x^2 = 196

x^2 = 147

x = [tex]\sqrt{147}[/tex]

x = 7[tex]\sqrt{3}[/tex]

HELP PLEASE, IF YOU GET IT RIGHT YOU WILL RECEIVE BRAINIEST !!!!

Answers

Answer:

ok it is very hardest app

Help me guys pleaseeeeeeeeeee

Answers

The answer for this question would be 30

find the slope of the line passing through each of the following pairs of points and draw the graph of the line (-1,4) -(1,3)

Answers

Answer:

Step-by-step explanation:

(-1,4) (-1,3)

formula y2-y1/x2-x1

=3-4/-1-(-1)

= -1/-2

1) What are the next three terms in these sequences?
a) 126 122 118 114 110
b) -1 3 7 11 15
c) 1 3 9 27
D) 80 20 5 1.25

Answers

Answer:

Step-by-step explanation:

a) 126 122 118 114 110, 106, 102, 98

Hint: ( Subtract 4 from each numbers to get the next)

b) -1, 3 , 7, 11 , 15,  19, 23, 27

Hint: ( Add all through by 4)

c)  1, 3, 9, 27, 81, 243, 729

Hint: ( Multiply through by 3)

d) 80, 20 , 5, 1.25, 0.3125, 0.078125, 0.0195

Hint; (Divide all through by 4)

Mrs.Vincent had to cut the cake into 55 slices. What percent of the cake did each student get?

Answers

Answer:

1.82 %

Step-by-step explanation:

Divide 100% among 55 students

[tex]\frac{100}{55} =1.82[/tex]

Hope this helps

HELP ME FIND MIDPOINT

Answers

Answer: (-1/2, 0) which is the same as saying (-0.5, 0)

================================================

Explanation:

The x coordinates of A and B are -2 and 1 respectively.

Add up those values to get -2+1 = -1

Then cut that result in half: -1/2 = -0.5

This is the x coordinate of the midpoint.

--------

Repeat for the y coordinates:

Add: 1 + (-1) = 0

Cut in half: 0/2 = 0

The y coordinate of the midpoint is 0

-------

Overall, the midpoint is located at (-1/2, 0) which is the same as writing (-0.5, 0). This is where the segment AB crosses the x axis.

There is a picture inside the question pls help asap!!

Answers

There isn’t a picture…

Explanation:
Could I get brainliest for my amazing efforts.

Consider the polynomial p(x) = 16x4 - 81y4. Which of the following are equivalent expressions?
Select all that apply.

Answers

Answer:

Second expression and Last expression

Step-by-step explanation:

Second expression and Last expression

1. [tex](4x^2-9y^2)(4x^2-9y^2)[/tex]

[tex]4x^2(4x^2-9y^2)-9y^2(4x^2-9y^2)[/tex]

[tex]16x^4 -36x^2y^2 -36x^2y^2+81y^4[/tex]

[tex]16x^4 -72x^2y^2+81y^4[/tex]

2. [tex](4x^2-9y^2)(4x^2+9y^2)[/tex]

[tex]4x^2(4x^2+9y^2)-9y^2(4x^2+9y^2)[/tex]

[tex]16x^4+36x^2y^2-36x^2y^2-81y^4[/tex]

[tex]16x^4-36y^4[/tex]

3. [tex](4x^2+9y^2)(2x-3y)(2x-3y)[/tex]

[tex](4x^2+9y^2)(4x^2-6xy-6xy+9y^2)[/tex]

[tex](4x^2+9y^2)(4x^2-12xy+9y^2)[/tex]

[tex]16x^4-48x^3y+36x^2y^2+36x^2y^2-108xy^3+81y^4[/tex]

[tex]16x^4 -48x^3y+72x^2y^2-108y^3+81y^4[/tex]

4. [tex](4x^2+9y^2)(2x+3y)(2x+3y)[/tex]

[tex](4x^2+9y^2)(4x^2+6xy+6xy+9y^2)[/tex]

[tex](4x^2+9y^2)(4x^2+12xy+9y^2)[/tex]

[tex]16x^4+48x^3y+36x^2y^2+36x^2y^2+108xy^3+81y^4[/tex]

[tex]16x^4+48x^3y+72x^2^2+108xy^3+81y^4[/tex]

5. [tex](4x^2+9y^2)(2x+3y)(2x-3y)[/tex]

[tex](4x^2+9y^2)(4x^2-6xy+6xy-9y^2)[/tex]

[tex](4x^2+9y^2)(4x^2-9y^2)[/tex]

[tex]16x^4-36x^2y^2+36x^2y^2-81y^4[/tex]

[tex]16x^4-81y^4[/tex]

Hope this helps!

Need help solving this linear equation

Answers

Answer: (-4, -7)

Step-by-step explanation: To solve this system of equations, we can use the substitution method.

To solve a system by substitution, we first need to isolate one of our variables. The problem is none of our variables has a coefficient of 1 or -1. In this situation, we have to look at our next best option.

In our first equation, add 2x to both sides to get

2y = -6 + 2x and just divide both sides by 2 to get y = -3 + x.

Now let's plug this value of y into our second equation.

So we have 3x + 7(-3 + x) = -61.

Simplifying from here:

3x - 21 + 7x = -61

10x - 21 = -61

10x = -40

x = -4

Since we know that x = -4, we can just plug a -4 into our equation that we created earlier to get y = -3 + (-4) or y = -7.

Since x = -4 and y = -7, our answer is the ordered pair (-4, -7).

What is the slope of the line represented by this equation?
-3x + 8y = 12

Answers

Step-by-step explanation:

Turn the equation into a slope-intercept form equation:

[tex]8y=3x+12[/tex]

Divide each side by 8 to simplify y:

[tex]y=\frac{3}{8} x+1.5[/tex]

The slope is 3/8.

Using the format:

[tex]y=mx+b[/tex]

3/8 is in place of m, the slope.

What number is in between 6534 and 6565

Answers

Answer:

I am assuming any number in between these two, so let's just say 6,550.

Step-by-step explanation:

If you count up from 6,534, you will eventually get to 6,550. If you continue to count up, you will eventually reach 6,565 which is bigger than 6,550.

Draw a picture of 3 5/7 as a fraction.

Answers

If you would do this in whole number form, it'll be 40/7.

Answer:

3 5/7

Step-by-step explanation:

picture

what is 56/30 in its simplest form?

Answers

Answer: 1 13/15

Hope this helps!

Answer this pls for 15 points

Answers

this is the answer hope it helps

Answer:

3x/(x-3) (x+1)

Step-by-step explanation:

what is the answer to 12+56=76(56+89)=15

Answers

Answer:

false

Step-by-step explanation:

steps:

12+56=7

simplify 12+56: 68

12+56

add the numbers: 12+56=68

=68

68=7

the sides are not equal

false

Solve for x in the equation X2-12x+36 = 90.
X=
O x=6+3./10
O x=6+2/7
X= 123.22
O
x= 12+3/10

Answers

Answer:

90x8+3

Step-by-step explanation:

X2-12x+36 = 90.

X=

O x=6+3./10

O x=6+2/7

X= 123.22

O

x= 12+3/10

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